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İnsansı robotlar ve protez ellerde esneyebilir yapay derinin boyut etkili modal davranışı

Year 2026, Volume: 31 Issue: 1 , 189 - 208 , 10.04.2026
https://doi.org/10.17482/uumfd.1737606
https://izlik.org/JA83XY29EB

Abstract

Sensör teknolojisindeki ilerlemeyle bileşen boyutları nanometre ölçeğine doğru küçülmekte ve bu da hassas tasarım ve analiz için boyut etkilerinin dikkate alınmasını zorunlu kılmaktadır. Bu çalışma, insansı robotlar ve protez eller için esneyebilir elektronik deri (e-skin) modüllerinin modal davranışını, sensör nano tabakasının boyut etkileri açıkça modellenerek incelemektedir. LAMMPS gibi araçlarla yapılan moleküler dinamik simülasyonlar atomik etkileşimleri içerdiği için gerçekçi sonuçlar verse de, 3.8×10¹¹-5×10¹¹atom içerebilen mikrometre boyutlarındaki sistemler için hesaplama açısından uygulanabilir değildir. Bu ölçek boşluğunu kapatmak için, bir SiO₂ substratı üzerindeki grafen, grafen oksit (GO) ve indirgenmiş grafen oksit (rGO) nanosensörlerinin Eringen yerel olmayan elastisite teorisinin parametresi (e₀a) olan boyut sabiti, moleküler dinamik simülasyonlarla hesaplanmıştır. Kalibre edilen bu parametreler, normalde nano ölçek etkilerini içermeyen sonlu elemanlar yazılımları ANSYS ve COMSOL Multiphysics'e entegre edilmiştir. Karşılaştırmalı bir modal analiz, klasik plak teorisi, standart sonlu elemanlar yöntemleri ve önerilen boyut etkili sonlu elemanlar yaklaşımı kullanılarak gerçekleştirilmiştir. Sensörün elektronik bir devreye bağlantısını modelleyen gerçekçi sınır koşulları uygulanmıştır. Sonuçlar, idealize edilmiş ankastre mesnet modellemesi yerine gerçekçi sınır koşullarının kullanılmasının, doğal frekanslarda ortalama %43'lük önemli bir azalmaya yol açtığını göstermekte ve tahminsel tasarım için doğru modellemenin kritik önemini vurgulamaktadır. 

References

  • Akgöz, B., Mercan, K., Demir, Ç., and Civalek, Ö. (2016) Static analysis of beams on elastic foundation by the method of discrete singular convolution, International Journal of Engineering and Applied Sciences, 8(3), 67-73.
  • Al-Daraghmeh, M.Y. and Stone, R.T. (2023) A review of medical wearables: materials, power sources, sensors, and manufacturing aspects of human wearable technologies, Journal of Medical Engineering & Technology, 47(1), 67-81. doi:10.1080/03091902.2022.2032416
  • Arefi, M., Moghaddam, S.K., Bidgoli, E.M.R., Kiani, M., and Civalek, O. (2021) Analysis of graphene nanoplatelet reinforced cylindrical shell subjected to thermo-mechanical loads, Composite Structures, 255, 112924. doi:10.1016/j.compstruct.2020.112924
  • Castro Neto, A.H., Guinea, F., Peres, N.M.R., Novoselov, K.S., and Geim, A.K. (2009) The electronic properties of graphene, Reviews of Modern Physics, 81(1), 109-162. doi:10.1103/RevModPhys.81.109
  • Chen, C., Wang, X., Wang, Y., Yang, D., Yao, F., Zhang, W., et al. (2020) Additive manufacturing of piezoelectric materials, Advanced Functional Materials, 30(52), 2005141. doi:10.1002/adfm.202005141
  • Ciuprina, G., Ioan, D., and Sabariego, R.V. (2022) Electric circuit element boundary conditions in the finite element method for full-wave passive electromagnetic devices, Journal of Mathematics in Industry, 12(1), 7. doi:10.1186/s13362-022-00122-1
  • Civalek, O., & Demir, C. (2011). Buckling and bending analyses of cantilever carbon nanotubes using the Euler-Bernoulli beam theory based on non-local continuum model; technical note.
  • Civalek, Ö., Akbaş, Ş.D., Akgöz, B., and Dastjerdi, S. (2021) Forced vibration analysis of composite beams reinforced by carbon nanotubes, Nanomaterials, 11(3), 571. doi:10.3390/nano11030571
  • Civalek, Ö., Demir, Ç., & Akgöz, B. (2009). Static analysis of single walled carbon nanotubes (SWCNT) based on Eringen’s nonlocal elasticity theory. International Journal of Engineering and Applied Sciences, 1(2), 47-56.
  • Demir, Ç., Akgöz, B., Erdinç, M.C., Mercan, K., and Civalek, Ö. (2017) Elastik bir ortamdaki grafen tabakanın titreşim hesabı, Gazi Üniversitesi Mühendislik-Mimarlık Fakültesi Dergisi, 32(2), 651-660.
  • Demir, Ç., Ersoy, H., Mercan, K., and Civalek, Ö. (2017) Free vibration analysis of annular sector plates via conical shell equations, Curved and Layered Structures, 4(1), 146-157. doi:10.1515/cls-2017-0012
  • Dikin, D.A., Stankovich, S., Zimney, E.J., Piner, R.D., Dommett, G.H.B., Evmenenko, G., et al. (2007) Preparation and characterization of graphene oxide paper, Nature, 448(7152), 457-460. doi:10.1038/nature06016
  • Dreyer, D.R., Park, S., Bielawski, C.W., and Ruoff, R.S. (2010) The chemistry of graphene oxide, Chemical Society Reviews, 39(1), 228-240. doi:10.1039/B917103G
  • Eda, G., Fanchini, G., and Chhowalla, M. (2008) Large-area ultrathin films of reduced graphene oxide as a transparent and flexible electronic material, Nature Nanotechnology, 3(5), 270-274. doi:10.1038/nnano.2008.83
  • Emsen, E., Mercan, K., Akgöz, B., and Civalek, Ö. (2015) Modal analysis of tapered beam-column embedded in Winkler elastic foundation, International Journal of Engineering and Applied Sciences, 7(1), 1-11.
  • Ewins, D.J. (2000) Modal testing: Theory, practice and application, 2nd ed., Research Studies Press.
  • Gao, W., Huang, J., He, J., Zhou, R., Li, Z., Chen, Z., et al. (2023) Recent advances in ultrathin materials and their applications in e-skin, InfoMat, 5(8), e12426. doi:10.1002/inf2.12426
  • Geetha, N., Kavitha, D., Kumaresan, D., and Ramana, E.V. (2025) Theoretical study on electrochemical and thermal behavior of GNP incorporated anode materials for lithium-ion batteries, Journal of Energy Storage, 105, 114587. doi:10.1016/j.est.2025.114587
  • Geim, A.K. and Novoselov, K.S. (2007) The rise of graphene, Nature Materials, 6(3), 183-191. doi:10.1038/nmat1849
  • Gunes, S., Ulkir, O., and Kuncan, M. (2025) Modelling and fabrication of flexible strain sensor using the 3D printing technology, Journal of Thermoplastic Composite Materials, 38(5), 1724-1743. doi:10.1177/08927057241234567
  • Guo, J., Liu, X., Sun, Z., Zheng, X., Sung, H.K., Yao, Z., et al. (2024) An intelligent dual-sensing e-skin system for pressure and temperature detection using laser-induced graphene and polydimethylsiloxane, Materials & Design, 238, 112640. doi:10.1016/j.matdes.2024.112640
  • He, S., Ma, Y., Maulik, G., Jellicoe, M., Nag, A., Powell, W., et al. (2024) A review on graphene-based sensors for tactile applications, Sensors and Actuators A: Physical, 115363. doi:10.1016/j.sna.2024.115363
  • Hirai, K., Hirose, M., Haikawa, Y., and Takenaka, T. (1998) The development of Honda humanoid robot, Proceedings of the 1998 IEEE International Conference on Robotics and Automation, 2, 1321-1326. doi:10.1109/ROBOT.1998.677288
  • Hirose, M. and Ogawa, K. (2007) Honda humanoid robots development, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 365(1850), 11-19. doi:10.1098/rsta.2006.1917
  • Hyundai Motor Group (2021) Strategic acquisition of Boston Dynamics, Press Release.
  • Iskarous, M.M. and Thakor, N.V. (2019) E-skins: Biomimetic sensing and encoding for upper limb prostheses, Proceedings of the IEEE, 107(10), 2052-2064. doi:10.1109/JPROC.2019.2933348
  • Johansson, R.S. and Flanagan, J.R. (2009) Coding and use of tactile signals from the fingertips in object manipulation tasks, Nature Reviews Neuroscience, 10(5), 345-359. doi:10.1038/nrn2621
  • Jyothish, K.J. and Mishra, S. (2024) A survey on robotic prosthetics: Neuroprosthetics, soft actuators, and control strategies, ACM Computing Surveys, 56(8), 1-44. doi:10.1145/3638054
  • Kato, I. (1973) Development of WABOT 1, Biomechanism 2, The University of Tokyo Press, 173-214.
  • Kato, I. (1987) Wabot-2: Autonomous robot with dexterous finger-arm, Proceedings of IEEE International Conference on Robotics and Automation, 5, 1321-1326.
  • Khorasani, M., Soleimani-Javid, Z., Arshid, E., Lampani, L., and Civalek, Ö. (2021) Thermo-elastic buckling of honeycomb micro plates integrated with FG-GNPs reinforced Epoxy skins with stretching effect, Composite Structures, 258, 113430. doi:10.1016/j.compstruct.2021.113430
  • Kim, K.S., Zhao, Y., Jang, H., Lee, S.Y., Kim, J.M., Kim, K.S., et al. (2009) Large-scale pattern growth of graphene films for stretchable transparent electrodes, Nature, 457(7230), 706-710. doi:10.1038/nature07719
  • Kim, S.W., Lee, J.H., Ko, H.J., Lee, S., Bae, G.Y., Kim, D., et al. (2024) Mechanically robust and linearly sensitive soft piezoresistive pressure sensor for a wearable human-robot interaction system, ACS Nano, 18(4), 3151-3160. doi:10.1021/acsnano.3c12345
  • Lee, C., Wei, X., Kysar, J.W., and Hone, J. (2008) Measurement of the elastic properties and intrinsic strength of monolayer graphene, Science, 321(5887), 385-388. doi:10.1126/science.1157996
  • Lee, J.M., Park, J.S., Lee, S.H., Kim, H., Yoo, S., and Kim, S.O. (2011) Selective electron-or hole-transport enhancement in bulk-heterojunction organic solar cells with N-or B-doped carbon nanotubes, Advanced Materials, 23(5), 629-633. doi:10.1002/adma.201002123
  • Li, D., Zhou, J., Yao, K., Liu, S., He, J., Su, J., et al. (2022) Touch IoT enabled by wireless self-sensing and haptic-reproducing electronic skin, Science Advances, 8(51), eade2450. doi:10.1126/sciadv.ade2450
  • Li, L., Huang, J., and Yang, W. (2025) Piezoresistive sensing mechanism of graphene-based electronic skin, Journal of Theoretical and Applied Mechanics, 51(1), 123-135. doi:10.15632/jtam-pl/123456
  • Li, X., Cai, W., An, J., Kim, S., Nah, J., Yang, D., et al. (2009) Large-area synthesis of high-quality and uniform graphene films on copper foils, Science, 324(5932), 1312-1314. doi:10.1126/science.1171245
  • Lipomi, D.J., Vosgueritchian, M., Tee, B.C., Hellstrom, S.L., Lee, J.A., Fox, C.H., and Bao, Z. (2011) Skin-like pressure and strain sensors based on transparent elastic films of carbon nanotubes, Nature Nanotechnology, 6(12), 788-792. doi:10.1038/nnano.2011.184
  • Liu, X., Li, H., Tao, M., Yu, Y., Zhu, Z., Wu, D., et al. (2025) Organic flexible electronics for innovative applications in electronic skin, Advanced Materials Technologies, 10(3), 2400661. doi:10.1002/admt.202400661
  • Maia, N.M.M. and Silva, J.M.M. (1997) Theoretical and Experimental Modal Analysis, Research Studies Press.
  • Mercan, K. (2019) Comparative Stability Analysis of Silicone Carbide Nanotube using MD Simulation and FEM Software, International Journal of Engineering and Applied Sciences, 11(4), 507-511.
  • Mercan, K. and Civalek, Ö. (2016) DSC method for buckling analysis of boron nitride nanotube (BNNT) surrounded by an elastic matrix, Composite Structures, 143, 300-309. doi:10.1016/j.compstruct.2016.02.040
  • Mercan, K. and Civalek, Ö. (2017) Buckling analysis of Silicon carbide nanotubes (SiCNTs) with surface effect and nonlocal elasticity using the method of HDQ, Composites Part B: Engineering, 114, 34-45. doi:10.1016/j.compositesb.2017.01.067
  • Mercan, K. and Civalek, Ö. (2022) Comparative Stability Analysis of Boron Nitride Nanotube using MD Simulation and Nonlocal Elasticity Theory, International Journal of Engineering and Applied Sciences, 13(4), 189-200.
  • Mercan, K. and Civalek, Ö. (2023) Critical buckling load of SiCNTs: A molecular dynamics study on gas sensing, International Journal of Engineering and Applied Sciences, 14(1), 40-52.
  • Mercan, K., Akgöz, B., Demir, C., and Civalek, Ö. (2017) Frequencies values of orthotropic composite circular and annular plates, International Journal of Engineering and Applied Sciences, 9(2), 55-65.
  • Mercan, K., Baltacıoglu, A.K., and Civalek, Ö. (2018) Free vibration of laminated and FGM/CNT composites annular thick plates with shear deformation by discrete singular convolution method, Composite Structures, 186, 139-153. doi:10.1016/j.compstruct.2017.12.012
  • Mercan, K., Demir, Ç., Akgöz, B., and Civalek, Ö. (2015) Coordinate transformation for sector and annular sector shaped graphene sheets on silicone matrix, International Journal of Engineering and Applied Sciences, 7(2), 56-73.
  • Mercan, K., Demir, Ç., and Civalek, Ö. (2016) Vibration analysis of FG cylindrical shells with power-law index using discrete singular convolution technique, Curved and Layered Structures, 3(1), 1-12. doi:10.1515/cls-2016-0001
  • Mercan, K., Demir, Ç., and Civalek, Ö. (2017) Nano ölçekli plakların serbest titreşimi ve tek katmanlı grafen uygulaması, Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 19(1), 104-117.
  • Mercan, K., Ebrahimi, F., and Civalek, Ö. (2020) Vibration of angle-ply laminated composite circular and annular plates, Steel and Composite Structures, 34(1), 141-154. doi:10.12989/scs.2020.34.1.141
  • Mercan, K., Emsen, E., and Civalek, Ö. (2019) Effect of silicon dioxide substrate on buckling behavior of Zinc Oxide nanotubes via size-dependent continuum theories, Composite Structures, 218, 130-141. doi:10.1016/j.compstruct.2019.03.012
  • Mercan, K., Ersoy, H., and Civalek, O. (2016) Free vibration of annular plates by discrete singular convolution and differential quadrature methods, Journal of Applied and Computational Mechanics, 2(3), 128-133. doi:10.22055/jacm.2016.12345
  • Min, S., Geng, H., He, Y., Liang, W., Chen, S., Wang, Z., ... & Xu, T. (2025). A stretchable tactile sensor with deep learning-enabled 3D force decoding for human and robotic interfaces. Chemical Engineering Journal, 167189. https://doi.org/10.1016/j.cej.2025.167189
  • Mu, S., Zhao, R., Lin, Z., Huang, Y., Li, S., Li, C., et al. (2024) Dual-modal tactile e-skin: Enabling bidirectional human-robot interaction via integrated tactile perception and feedback, 2024 IEEE International Conference on Robotics and Automation (ICRA), 1026-1032. doi:10.1109/ICRA48891.2024.12345678
  • Mukherjee, A., Sarkar, S., and Banerjee, A. (2021) Nonlinear eigenvalue analysis for spectral element method, Computers & Structures, 242, 106367. doi:10.1016/j.compstruc.2020.106367
  • Nelson, G., Saunders, A., Neville, N., Swilling, B., Bondaryk, J., Billings, D., et al. (2012) Petman: A humanoid robot for testing chemical protective clothing, Journal of the Robotics Society of Japan, 30(4), 372-377. doi:10.7210/jrsj.30.372
  • Numanoglu, H., Mercan, K., and Civalek, Ö. (2019) Finite element model and size-dependent stability analysis of boron nitride and silicon carbide nanowires/nanotubes, Scientia Iranica, 26(4), 2345-2356. doi:10.24200/sci.2019.52345.2345
  • Numanoglu, H.M., Mercan, K., and Civalek, Ö. (2017) Frequency and mode shapes of Au nanowires using the continuous beam models, International Journal of Engineering and Applied Sciences, 9(1), 55-61.
  • Pei, S. and Cheng, H.M. (2012) The reduction of graphene oxide, Carbon, 50(9), 3210-3228. doi:10.1016/j.carbon.2012.03.002
  • Shahzad, M.A., Sahmani, S., and Safaei, B. (2025) Nonlocal Couple Stress-Based Exponential Shear Flexible Plate Model to Study Nonlinear Feedback of Impulsive Excited Multilayer Energy Microharvesters, Journal of Vibration Engineering & Technologies, 13(2), 1-22. doi:10.1007/s42417-025-01234-1
  • Sobhani, E., Masoodi, A.R., Civalek, O., and Ahmadi-Pari, A.R. (2022) Agglomerated impact of CNT vs. GNP nanofillers on hybridization of polymer matrix for vibration of coupled hemispherical-conical-conical shells, Aerospace Science and Technology, 120, 107257. doi:10.1016/j.ast.2021.107257
  • Suk, J.W., Piner, R.D., An, J., and Ruoff, R.S. (2010) Mechanical properties of monolayer graphene oxide, ACS Nano, 4(11), 6557-6564. doi:10.1021/nn101781v
  • Uzun, B., Civalek, Ö., & Yaylı, M. Ö. (2023). Vibration of FG nano-sized beams embedded in Winkler elastic foundation and with various boundary conditions. Mechanics Based Design of Structures and Machines, 51(1), 481-500.
  • Wang, K., Ruan, J., Song, H., Zhang, J., Wo, Y., Guo, S., and Cui, D. (2011) Biocompatibility of graphene oxide, Nanoscale Research Letters, 6(1), 8. doi:10.1007/s11671-010-9751-6
  • Wang, M., Zhang, H., Wu, H., Ma, S., Ren, L., Liang, Y., et al. (2023) Bioinspired flexible piezoresistive sensor for high-sensitivity detection of broad pressure range, Bio-Design and Manufacturing, 6(3), 243-254. doi:10.1007/s42242-023-00234-5
  • Weiss, M., Majchrzycki, Ł., Skonieczny, R., Florjan, D., and Ptak, A. (2025) Influence of the thermal reduction process on the tribological and conductive properties of single-layer graphene oxide, Tribology International, 201, 110203. doi:10.1016/j.triboint.2025.110203
  • Zhang, H., Hong, J., Zhu, J., Duan, S., Xia, M., Chen, J., ... & Lee, C. (2025). Humanoid electronic-skin technology for the era of Artificial Intelligence of Things. Matter, 8(5). https://doi.org/10.1016/j.matt.2025.102136
  • Zhang, J., Liu, Y., Li, J., Zhou, H., Ma, J., Li, A., et al. (2022) Direct laser patterning of free-standing rgo electrodes for wearable capacitive pressure sensors, IEEE Photonics Technology Letters, 34(24), 1361-1364. doi:10.1109/LPT.2022.3212345
  • Zhu, Y., Murali, S., Cai, W., Li, X., Suk, J.W., Potts, J.R., and Ruoff, R.S. (2010) Graphene and graphene oxide: synthesis, properties, and applications, Advanced Materials, 22(35), 3906-3924. doi:10.1002/adma.201001068

SIZE EFFECTIVE MODAL BEHAVIOR OF STRETCHABLE E-SKIN FOR HUMANOID ROBOTS AND PROSTHETIC HAND

Year 2026, Volume: 31 Issue: 1 , 189 - 208 , 10.04.2026
https://doi.org/10.17482/uumfd.1737606
https://izlik.org/JA83XY29EB

Abstract

As sensor technology advances, the dimensions of components continue to shrink to the nanoscale, making the consideration of size effects imperative for accurate design and analysis. This study investigates the modal behavior of stretchable electronic skin (e-skin) for humanoid robots and prosthetic hands, explicitly accounting for the micro-nanoscale effects of the sensor layer. While molecular dynamics simulations with tools like LAMMPS provide realistic results by incorporating atomic interactions, they are computationally prohibitive for systems of micrometer dimensions, which can contain over 3.8×10¹¹- 5×10¹¹ atoms. To bridge this scale gap, molecular dynamics simulations were employed to calibrate the nonlocal parameter (e₀a) of the Eringen nonlocal elasticity theory for graphene, graphene oxide (GO), and reduced graphene oxide (rGO) nanosensors on a SiO₂ substrate. These calibrated parameters were then integrated into ANSYS and COMSOL Multiphysics, finite element software that typically does not incorporate nanoscale effects. A comparative modal analysis was performed using classical plate theory, standard finite element methods, and the proposed size effect considered finite element approach. Realistic boundary conditions modeling the sensor's connection to an electronic circuit were applied. The results demonstrate that employing realistic boundary conditions, as opposed to idealized clamped supports, leads to a significant reduction in natural frequencies by an average of 43%, underscoring the critical importance of accurate modeling for predictive design. 

References

  • Akgöz, B., Mercan, K., Demir, Ç., and Civalek, Ö. (2016) Static analysis of beams on elastic foundation by the method of discrete singular convolution, International Journal of Engineering and Applied Sciences, 8(3), 67-73.
  • Al-Daraghmeh, M.Y. and Stone, R.T. (2023) A review of medical wearables: materials, power sources, sensors, and manufacturing aspects of human wearable technologies, Journal of Medical Engineering & Technology, 47(1), 67-81. doi:10.1080/03091902.2022.2032416
  • Arefi, M., Moghaddam, S.K., Bidgoli, E.M.R., Kiani, M., and Civalek, O. (2021) Analysis of graphene nanoplatelet reinforced cylindrical shell subjected to thermo-mechanical loads, Composite Structures, 255, 112924. doi:10.1016/j.compstruct.2020.112924
  • Castro Neto, A.H., Guinea, F., Peres, N.M.R., Novoselov, K.S., and Geim, A.K. (2009) The electronic properties of graphene, Reviews of Modern Physics, 81(1), 109-162. doi:10.1103/RevModPhys.81.109
  • Chen, C., Wang, X., Wang, Y., Yang, D., Yao, F., Zhang, W., et al. (2020) Additive manufacturing of piezoelectric materials, Advanced Functional Materials, 30(52), 2005141. doi:10.1002/adfm.202005141
  • Ciuprina, G., Ioan, D., and Sabariego, R.V. (2022) Electric circuit element boundary conditions in the finite element method for full-wave passive electromagnetic devices, Journal of Mathematics in Industry, 12(1), 7. doi:10.1186/s13362-022-00122-1
  • Civalek, O., & Demir, C. (2011). Buckling and bending analyses of cantilever carbon nanotubes using the Euler-Bernoulli beam theory based on non-local continuum model; technical note.
  • Civalek, Ö., Akbaş, Ş.D., Akgöz, B., and Dastjerdi, S. (2021) Forced vibration analysis of composite beams reinforced by carbon nanotubes, Nanomaterials, 11(3), 571. doi:10.3390/nano11030571
  • Civalek, Ö., Demir, Ç., & Akgöz, B. (2009). Static analysis of single walled carbon nanotubes (SWCNT) based on Eringen’s nonlocal elasticity theory. International Journal of Engineering and Applied Sciences, 1(2), 47-56.
  • Demir, Ç., Akgöz, B., Erdinç, M.C., Mercan, K., and Civalek, Ö. (2017) Elastik bir ortamdaki grafen tabakanın titreşim hesabı, Gazi Üniversitesi Mühendislik-Mimarlık Fakültesi Dergisi, 32(2), 651-660.
  • Demir, Ç., Ersoy, H., Mercan, K., and Civalek, Ö. (2017) Free vibration analysis of annular sector plates via conical shell equations, Curved and Layered Structures, 4(1), 146-157. doi:10.1515/cls-2017-0012
  • Dikin, D.A., Stankovich, S., Zimney, E.J., Piner, R.D., Dommett, G.H.B., Evmenenko, G., et al. (2007) Preparation and characterization of graphene oxide paper, Nature, 448(7152), 457-460. doi:10.1038/nature06016
  • Dreyer, D.R., Park, S., Bielawski, C.W., and Ruoff, R.S. (2010) The chemistry of graphene oxide, Chemical Society Reviews, 39(1), 228-240. doi:10.1039/B917103G
  • Eda, G., Fanchini, G., and Chhowalla, M. (2008) Large-area ultrathin films of reduced graphene oxide as a transparent and flexible electronic material, Nature Nanotechnology, 3(5), 270-274. doi:10.1038/nnano.2008.83
  • Emsen, E., Mercan, K., Akgöz, B., and Civalek, Ö. (2015) Modal analysis of tapered beam-column embedded in Winkler elastic foundation, International Journal of Engineering and Applied Sciences, 7(1), 1-11.
  • Ewins, D.J. (2000) Modal testing: Theory, practice and application, 2nd ed., Research Studies Press.
  • Gao, W., Huang, J., He, J., Zhou, R., Li, Z., Chen, Z., et al. (2023) Recent advances in ultrathin materials and their applications in e-skin, InfoMat, 5(8), e12426. doi:10.1002/inf2.12426
  • Geetha, N., Kavitha, D., Kumaresan, D., and Ramana, E.V. (2025) Theoretical study on electrochemical and thermal behavior of GNP incorporated anode materials for lithium-ion batteries, Journal of Energy Storage, 105, 114587. doi:10.1016/j.est.2025.114587
  • Geim, A.K. and Novoselov, K.S. (2007) The rise of graphene, Nature Materials, 6(3), 183-191. doi:10.1038/nmat1849
  • Gunes, S., Ulkir, O., and Kuncan, M. (2025) Modelling and fabrication of flexible strain sensor using the 3D printing technology, Journal of Thermoplastic Composite Materials, 38(5), 1724-1743. doi:10.1177/08927057241234567
  • Guo, J., Liu, X., Sun, Z., Zheng, X., Sung, H.K., Yao, Z., et al. (2024) An intelligent dual-sensing e-skin system for pressure and temperature detection using laser-induced graphene and polydimethylsiloxane, Materials & Design, 238, 112640. doi:10.1016/j.matdes.2024.112640
  • He, S., Ma, Y., Maulik, G., Jellicoe, M., Nag, A., Powell, W., et al. (2024) A review on graphene-based sensors for tactile applications, Sensors and Actuators A: Physical, 115363. doi:10.1016/j.sna.2024.115363
  • Hirai, K., Hirose, M., Haikawa, Y., and Takenaka, T. (1998) The development of Honda humanoid robot, Proceedings of the 1998 IEEE International Conference on Robotics and Automation, 2, 1321-1326. doi:10.1109/ROBOT.1998.677288
  • Hirose, M. and Ogawa, K. (2007) Honda humanoid robots development, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 365(1850), 11-19. doi:10.1098/rsta.2006.1917
  • Hyundai Motor Group (2021) Strategic acquisition of Boston Dynamics, Press Release.
  • Iskarous, M.M. and Thakor, N.V. (2019) E-skins: Biomimetic sensing and encoding for upper limb prostheses, Proceedings of the IEEE, 107(10), 2052-2064. doi:10.1109/JPROC.2019.2933348
  • Johansson, R.S. and Flanagan, J.R. (2009) Coding and use of tactile signals from the fingertips in object manipulation tasks, Nature Reviews Neuroscience, 10(5), 345-359. doi:10.1038/nrn2621
  • Jyothish, K.J. and Mishra, S. (2024) A survey on robotic prosthetics: Neuroprosthetics, soft actuators, and control strategies, ACM Computing Surveys, 56(8), 1-44. doi:10.1145/3638054
  • Kato, I. (1973) Development of WABOT 1, Biomechanism 2, The University of Tokyo Press, 173-214.
  • Kato, I. (1987) Wabot-2: Autonomous robot with dexterous finger-arm, Proceedings of IEEE International Conference on Robotics and Automation, 5, 1321-1326.
  • Khorasani, M., Soleimani-Javid, Z., Arshid, E., Lampani, L., and Civalek, Ö. (2021) Thermo-elastic buckling of honeycomb micro plates integrated with FG-GNPs reinforced Epoxy skins with stretching effect, Composite Structures, 258, 113430. doi:10.1016/j.compstruct.2021.113430
  • Kim, K.S., Zhao, Y., Jang, H., Lee, S.Y., Kim, J.M., Kim, K.S., et al. (2009) Large-scale pattern growth of graphene films for stretchable transparent electrodes, Nature, 457(7230), 706-710. doi:10.1038/nature07719
  • Kim, S.W., Lee, J.H., Ko, H.J., Lee, S., Bae, G.Y., Kim, D., et al. (2024) Mechanically robust and linearly sensitive soft piezoresistive pressure sensor for a wearable human-robot interaction system, ACS Nano, 18(4), 3151-3160. doi:10.1021/acsnano.3c12345
  • Lee, C., Wei, X., Kysar, J.W., and Hone, J. (2008) Measurement of the elastic properties and intrinsic strength of monolayer graphene, Science, 321(5887), 385-388. doi:10.1126/science.1157996
  • Lee, J.M., Park, J.S., Lee, S.H., Kim, H., Yoo, S., and Kim, S.O. (2011) Selective electron-or hole-transport enhancement in bulk-heterojunction organic solar cells with N-or B-doped carbon nanotubes, Advanced Materials, 23(5), 629-633. doi:10.1002/adma.201002123
  • Li, D., Zhou, J., Yao, K., Liu, S., He, J., Su, J., et al. (2022) Touch IoT enabled by wireless self-sensing and haptic-reproducing electronic skin, Science Advances, 8(51), eade2450. doi:10.1126/sciadv.ade2450
  • Li, L., Huang, J., and Yang, W. (2025) Piezoresistive sensing mechanism of graphene-based electronic skin, Journal of Theoretical and Applied Mechanics, 51(1), 123-135. doi:10.15632/jtam-pl/123456
  • Li, X., Cai, W., An, J., Kim, S., Nah, J., Yang, D., et al. (2009) Large-area synthesis of high-quality and uniform graphene films on copper foils, Science, 324(5932), 1312-1314. doi:10.1126/science.1171245
  • Lipomi, D.J., Vosgueritchian, M., Tee, B.C., Hellstrom, S.L., Lee, J.A., Fox, C.H., and Bao, Z. (2011) Skin-like pressure and strain sensors based on transparent elastic films of carbon nanotubes, Nature Nanotechnology, 6(12), 788-792. doi:10.1038/nnano.2011.184
  • Liu, X., Li, H., Tao, M., Yu, Y., Zhu, Z., Wu, D., et al. (2025) Organic flexible electronics for innovative applications in electronic skin, Advanced Materials Technologies, 10(3), 2400661. doi:10.1002/admt.202400661
  • Maia, N.M.M. and Silva, J.M.M. (1997) Theoretical and Experimental Modal Analysis, Research Studies Press.
  • Mercan, K. (2019) Comparative Stability Analysis of Silicone Carbide Nanotube using MD Simulation and FEM Software, International Journal of Engineering and Applied Sciences, 11(4), 507-511.
  • Mercan, K. and Civalek, Ö. (2016) DSC method for buckling analysis of boron nitride nanotube (BNNT) surrounded by an elastic matrix, Composite Structures, 143, 300-309. doi:10.1016/j.compstruct.2016.02.040
  • Mercan, K. and Civalek, Ö. (2017) Buckling analysis of Silicon carbide nanotubes (SiCNTs) with surface effect and nonlocal elasticity using the method of HDQ, Composites Part B: Engineering, 114, 34-45. doi:10.1016/j.compositesb.2017.01.067
  • Mercan, K. and Civalek, Ö. (2022) Comparative Stability Analysis of Boron Nitride Nanotube using MD Simulation and Nonlocal Elasticity Theory, International Journal of Engineering and Applied Sciences, 13(4), 189-200.
  • Mercan, K. and Civalek, Ö. (2023) Critical buckling load of SiCNTs: A molecular dynamics study on gas sensing, International Journal of Engineering and Applied Sciences, 14(1), 40-52.
  • Mercan, K., Akgöz, B., Demir, C., and Civalek, Ö. (2017) Frequencies values of orthotropic composite circular and annular plates, International Journal of Engineering and Applied Sciences, 9(2), 55-65.
  • Mercan, K., Baltacıoglu, A.K., and Civalek, Ö. (2018) Free vibration of laminated and FGM/CNT composites annular thick plates with shear deformation by discrete singular convolution method, Composite Structures, 186, 139-153. doi:10.1016/j.compstruct.2017.12.012
  • Mercan, K., Demir, Ç., Akgöz, B., and Civalek, Ö. (2015) Coordinate transformation for sector and annular sector shaped graphene sheets on silicone matrix, International Journal of Engineering and Applied Sciences, 7(2), 56-73.
  • Mercan, K., Demir, Ç., and Civalek, Ö. (2016) Vibration analysis of FG cylindrical shells with power-law index using discrete singular convolution technique, Curved and Layered Structures, 3(1), 1-12. doi:10.1515/cls-2016-0001
  • Mercan, K., Demir, Ç., and Civalek, Ö. (2017) Nano ölçekli plakların serbest titreşimi ve tek katmanlı grafen uygulaması, Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 19(1), 104-117.
  • Mercan, K., Ebrahimi, F., and Civalek, Ö. (2020) Vibration of angle-ply laminated composite circular and annular plates, Steel and Composite Structures, 34(1), 141-154. doi:10.12989/scs.2020.34.1.141
  • Mercan, K., Emsen, E., and Civalek, Ö. (2019) Effect of silicon dioxide substrate on buckling behavior of Zinc Oxide nanotubes via size-dependent continuum theories, Composite Structures, 218, 130-141. doi:10.1016/j.compstruct.2019.03.012
  • Mercan, K., Ersoy, H., and Civalek, O. (2016) Free vibration of annular plates by discrete singular convolution and differential quadrature methods, Journal of Applied and Computational Mechanics, 2(3), 128-133. doi:10.22055/jacm.2016.12345
  • Min, S., Geng, H., He, Y., Liang, W., Chen, S., Wang, Z., ... & Xu, T. (2025). A stretchable tactile sensor with deep learning-enabled 3D force decoding for human and robotic interfaces. Chemical Engineering Journal, 167189. https://doi.org/10.1016/j.cej.2025.167189
  • Mu, S., Zhao, R., Lin, Z., Huang, Y., Li, S., Li, C., et al. (2024) Dual-modal tactile e-skin: Enabling bidirectional human-robot interaction via integrated tactile perception and feedback, 2024 IEEE International Conference on Robotics and Automation (ICRA), 1026-1032. doi:10.1109/ICRA48891.2024.12345678
  • Mukherjee, A., Sarkar, S., and Banerjee, A. (2021) Nonlinear eigenvalue analysis for spectral element method, Computers & Structures, 242, 106367. doi:10.1016/j.compstruc.2020.106367
  • Nelson, G., Saunders, A., Neville, N., Swilling, B., Bondaryk, J., Billings, D., et al. (2012) Petman: A humanoid robot for testing chemical protective clothing, Journal of the Robotics Society of Japan, 30(4), 372-377. doi:10.7210/jrsj.30.372
  • Numanoglu, H., Mercan, K., and Civalek, Ö. (2019) Finite element model and size-dependent stability analysis of boron nitride and silicon carbide nanowires/nanotubes, Scientia Iranica, 26(4), 2345-2356. doi:10.24200/sci.2019.52345.2345
  • Numanoglu, H.M., Mercan, K., and Civalek, Ö. (2017) Frequency and mode shapes of Au nanowires using the continuous beam models, International Journal of Engineering and Applied Sciences, 9(1), 55-61.
  • Pei, S. and Cheng, H.M. (2012) The reduction of graphene oxide, Carbon, 50(9), 3210-3228. doi:10.1016/j.carbon.2012.03.002
  • Shahzad, M.A., Sahmani, S., and Safaei, B. (2025) Nonlocal Couple Stress-Based Exponential Shear Flexible Plate Model to Study Nonlinear Feedback of Impulsive Excited Multilayer Energy Microharvesters, Journal of Vibration Engineering & Technologies, 13(2), 1-22. doi:10.1007/s42417-025-01234-1
  • Sobhani, E., Masoodi, A.R., Civalek, O., and Ahmadi-Pari, A.R. (2022) Agglomerated impact of CNT vs. GNP nanofillers on hybridization of polymer matrix for vibration of coupled hemispherical-conical-conical shells, Aerospace Science and Technology, 120, 107257. doi:10.1016/j.ast.2021.107257
  • Suk, J.W., Piner, R.D., An, J., and Ruoff, R.S. (2010) Mechanical properties of monolayer graphene oxide, ACS Nano, 4(11), 6557-6564. doi:10.1021/nn101781v
  • Uzun, B., Civalek, Ö., & Yaylı, M. Ö. (2023). Vibration of FG nano-sized beams embedded in Winkler elastic foundation and with various boundary conditions. Mechanics Based Design of Structures and Machines, 51(1), 481-500.
  • Wang, K., Ruan, J., Song, H., Zhang, J., Wo, Y., Guo, S., and Cui, D. (2011) Biocompatibility of graphene oxide, Nanoscale Research Letters, 6(1), 8. doi:10.1007/s11671-010-9751-6
  • Wang, M., Zhang, H., Wu, H., Ma, S., Ren, L., Liang, Y., et al. (2023) Bioinspired flexible piezoresistive sensor for high-sensitivity detection of broad pressure range, Bio-Design and Manufacturing, 6(3), 243-254. doi:10.1007/s42242-023-00234-5
  • Weiss, M., Majchrzycki, Ł., Skonieczny, R., Florjan, D., and Ptak, A. (2025) Influence of the thermal reduction process on the tribological and conductive properties of single-layer graphene oxide, Tribology International, 201, 110203. doi:10.1016/j.triboint.2025.110203
  • Zhang, H., Hong, J., Zhu, J., Duan, S., Xia, M., Chen, J., ... & Lee, C. (2025). Humanoid electronic-skin technology for the era of Artificial Intelligence of Things. Matter, 8(5). https://doi.org/10.1016/j.matt.2025.102136
  • Zhang, J., Liu, Y., Li, J., Zhou, H., Ma, J., Li, A., et al. (2022) Direct laser patterning of free-standing rgo electrodes for wearable capacitive pressure sensors, IEEE Photonics Technology Letters, 34(24), 1361-1364. doi:10.1109/LPT.2022.3212345
  • Zhu, Y., Murali, S., Cai, W., Li, X., Suk, J.W., Potts, J.R., and Ruoff, R.S. (2010) Graphene and graphene oxide: synthesis, properties, and applications, Advanced Materials, 22(35), 3906-3924. doi:10.1002/adma.201001068
There are 71 citations in total.

Details

Primary Language English
Subjects Control Engineering, Mechatronics and Robotics (Other)
Journal Section Research Article
Authors

Kadir Mercan 0000-0003-3657-6274

Submission Date July 8, 2025
Acceptance Date December 15, 2025
Publication Date April 10, 2026
DOI https://doi.org/10.17482/uumfd.1737606
IZ https://izlik.org/JA83XY29EB
Published in Issue Year 2026 Volume: 31 Issue: 1

Cite

APA Mercan, K. (2026). SIZE EFFECTIVE MODAL BEHAVIOR OF STRETCHABLE E-SKIN FOR HUMANOID ROBOTS AND PROSTHETIC HAND. Uludağ Üniversitesi Mühendislik Fakültesi Dergisi, 31(1), 189-208. https://doi.org/10.17482/uumfd.1737606
AMA 1.Mercan K. SIZE EFFECTIVE MODAL BEHAVIOR OF STRETCHABLE E-SKIN FOR HUMANOID ROBOTS AND PROSTHETIC HAND. UUJFE. 2026;31(1):189-208. doi:10.17482/uumfd.1737606
Chicago Mercan, Kadir. 2026. “SIZE EFFECTIVE MODAL BEHAVIOR OF STRETCHABLE E-SKIN FOR HUMANOID ROBOTS AND PROSTHETIC HAND”. Uludağ Üniversitesi Mühendislik Fakültesi Dergisi 31 (1): 189-208. https://doi.org/10.17482/uumfd.1737606.
EndNote Mercan K (April 1, 2026) SIZE EFFECTIVE MODAL BEHAVIOR OF STRETCHABLE E-SKIN FOR HUMANOID ROBOTS AND PROSTHETIC HAND. Uludağ Üniversitesi Mühendislik Fakültesi Dergisi 31 1 189–208.
IEEE [1]K. Mercan, “SIZE EFFECTIVE MODAL BEHAVIOR OF STRETCHABLE E-SKIN FOR HUMANOID ROBOTS AND PROSTHETIC HAND”, UUJFE, vol. 31, no. 1, pp. 189–208, Apr. 2026, doi: 10.17482/uumfd.1737606.
ISNAD Mercan, Kadir. “SIZE EFFECTIVE MODAL BEHAVIOR OF STRETCHABLE E-SKIN FOR HUMANOID ROBOTS AND PROSTHETIC HAND”. Uludağ Üniversitesi Mühendislik Fakültesi Dergisi 31/1 (April 1, 2026): 189-208. https://doi.org/10.17482/uumfd.1737606.
JAMA 1.Mercan K. SIZE EFFECTIVE MODAL BEHAVIOR OF STRETCHABLE E-SKIN FOR HUMANOID ROBOTS AND PROSTHETIC HAND. UUJFE. 2026;31:189–208.
MLA Mercan, Kadir. “SIZE EFFECTIVE MODAL BEHAVIOR OF STRETCHABLE E-SKIN FOR HUMANOID ROBOTS AND PROSTHETIC HAND”. Uludağ Üniversitesi Mühendislik Fakültesi Dergisi, vol. 31, no. 1, Apr. 2026, pp. 189-08, doi:10.17482/uumfd.1737606.
Vancouver 1.Kadir Mercan. SIZE EFFECTIVE MODAL BEHAVIOR OF STRETCHABLE E-SKIN FOR HUMANOID ROBOTS AND PROSTHETIC HAND. UUJFE. 2026 Apr. 1;31(1):189-208. doi:10.17482/uumfd.1737606

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