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Harmonic response analysis of elliptically curved thin plates

Year 2021, , 426 - 434, 15.12.2021
https://doi.org/10.35860/iarej.975247

Abstract

In this study, harmonic response analysis of isotropic elliptically curved thin plate structures has been conducted. The structure has been excited by a harmonic load, whose maximum magnitude is 100 N. The structure has been considered under fixed from both straight edges boundary conditions. The effect of the elliptical geometry on the harmonic response of the structure in terms of the critical frequency region, phase angle, stress, and displacement has been examined. For this purpose, the vertex to co-vertex ratio has been variated from 3 to 4 by 0.1 intervals. All analyses have been performed via ANSYS Workbench by employing the Mode Superposition Method. The results indicated that the elliptical geometry has a significant impact on the harmonic response of elliptically curved thin plate structures.

References

  • 1. Minh, P.P., Do, T. V., Duc, D. H., and Duc, D. N, The stability of cracked rectangular plate with variable thickness using phase field method. Thin-Walled Structures, 2018. 129: p. 157-165.
  • 2. Gonenli, C., and Das, O., Effect of crack location on buckling and dynamic stability in plate frame structures. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2021. 43: 311.
  • 3. Marjanović, M., and Vuskanović, D., Layerwise solution of free vibrations and buckling of laminated and sanwich plates with embedded delaminations. Composite Structures, 2014. 108: p.9-20.
  • 4. Javed, S., Viswanathan, K. K., Nurul Izyan, M. D., Aziz, Z. A., and Lee, J. H., Free vibration of cross-ply laminated plates based on higher-order shear deformation theory. Steel and Composite Structures, 2018. 26(4): p.473-484.
  • 5. Das, O., Ozturk, H., and Gonenli, C., Finite element vibration analysis of laminated composite parabolic thick plate frames. Steel and Composite Structures, 2020. 35(1): p.43-59.
  • 6. Hongwei, G., Hong, Z., and Xiaoying, Z., Numerical manifold method for vibration analysis of Kirchhoff’s plates of arbitrary geometry. Applied Mathematical Modelling, 2019. 66: p.695-727.
  • 7. Belarbi, M., Tati, A., Ounis, H., and Khechai, A., On the free vibration analysis of laminated composite and sandwich plates: A layerwise finite element formulation. Latin American Journal of Solids and Structures, 2017. 14(12): p.2265-2290.
  • 8. Vaghefpour, H., and Arvin, H., Nonlinear free vibration analysis of pre-actuated isotropic piezoelectric cantilever nano-beams. Microsystem Technologies, 2019. 25: p.4097-4110.
  • 9. Kaddar, M., Kaci, A., Bousahla, A. A., Tounsi, A., Bourada, F., Tounsi, A., Beida, E. A. A., Al-Osta, M. A., A study on the structural behaviour of functionally graded porous plates on elastic foundation using a new quasi-3D model: Bending and free vibration analysis. Computers and Concrete, 2020. 25(1): p. 37-57.
  • 10. Malekzadeh, K., and Sayyidmousavi, A., Free vibration analysis of sandwich plates with a uniformly distributed attached mass, flexible core and different boundary conditions. Journal of Sandwich Structures and Materials, 2010. 12(6): p.709-732.
  • 11. Demirtas, S., and Ozturk, H., Effective mode shapes of multi-storey frames subjected to moving train loads. Coupled Systems Mechanics, 2020. 9(4): p.311-323.
  • 12. Vinyas, M., A higher-order free vibration analysis of carbon nanotube-reinforced magneto-electro-elastic plates using finite element methods.Composites Part B: Engineering, 2021. 158: p.286-301.
  • 13. Safarpour, M., Rahimi, A. R., and Alibeigloo, A., Static and free vibration analysis of graphene platelets reinforced composite truncated conical shell, cylindricall shell, and annular plate using theory of elasticity and DQM. Mechanics Based Design of Structures and Machines, 2020. 48(4): p.496-524.
  • 14. Rahimi, A., Alibeigloo, A., and Safarpour M., Three-dimensional static and free vibration analysis of graphene platelet reinforced porous composite cylindrical shell. Journal of Vibration and Control, 2020. 26(19-20): p.1627-1645.
  • 15. Sahla, M., Saidi, H., Draiche, K., Bousahla, A. A., Bourada, F., Tounsi, A., Free vibration analysis of angle-ply laminated composite and soft core sandwich plates. Steel and Composite Structures, 2019. 33(5): p.663-679.
  • 16. Yan, Y., Liu, B., Xing, Y., Carrera, E., and Pagani, A., Free vibration analysis of variable stiffness composite laminated beams and plates by novel hierarchical differential quadrature finite elements. Composite Structures, 2021. 274; 114364.
  • 17. Bidgoli, E. M. R., and Arefi, M., Free vibration analysis of micro plate reinforced with functionally graded nanoplatelets based on modified strain-gradient formulation. Journal of Sandwich Structures and Materials, 2021. 23(2), p.436-472.
  • 18. Kıral, Z., Harmonic response analysis of symmetric laminated composite beams with different boundary conditions. Science and Engineering of Composite Materials, 2014. 21(4): p.559-569.
  • 19. Ramesha, C. M., Abhijith, K. G., Singh, A., Raj, A., and Naik, C. S., Modal analysis and harmonic response analysis of a crankshaft. International Journal of Emerging Technology and Advanced Engineering, 2015. 5(6): 323-327.
  • 20. Yu, Y., Zhang, S., Li, H., Wang, X., and Tiang, Y., Modal and harmonic response analysis of key components of ditch device based on ANSYS. Procedia Engineering, 2017. 174: p.956-964.
  • 21. Zhang, C., Jin, G., Ye, T., and Zhang, Y., Harmonic response analysis of coupled plate structures using the dynamic stiffness method. Thin-Walled Structures, 2018. 127: p.402-415.
  • 22. Jiaqiang, E., Liu, G., Liu, T., Zhang, Z., Zuo, H., Hu, W., and Wei, K., Harmonic response analysis of a large dish solar thermal power generation system with wind-induced vibration. Solar Energy, 2019. 181: p.116-129.
  • 23. Çeçen, F., and Aktaş, B., Modal and harmonic response analysis of new CFRP laminate reinforced concrete railway sleepers. Engineering Failure Analysis, 2021. 127: 105471.
  • 24. Rahmani, M., and Moslemi Petrudi, A., Nonlinear vibration and dynamic response of nano composite conical tube by conveying fluid flow. International Advanced Researches and Engineering Journal, 2020. 4(3): p.180-190.
  • 25. Cruceanu, I. C., and Sorohan, S., Determination of the harmonic response of a railway wheelset using the finite element analysis method. Procedia Manufacturing, 2020. 46: p.173-179. 26. Zeng, J., Chen, K., Ma, H., Duan, T., and Wen, B., Vibration response analysis of a cracked rotating compressor blade during run-up process. Mechanical Systems and Signal Processing, 2019. 118: p.568-583.
  • 27. Jena, R. M., Chakravety, S., and Jena, S. K., Dynamic response analysis of fractionally damped beams subjected to external loads using homotopy analysis method. Journal of Applied and Computational Mechanics, 2019. 5(2); p.355-366.
  • 28. Gawryluk, J., Mitura, A., and Teter, A., Dynamic response of a composite beam rotating at constant speed caused by harmonic excitation with MFC actuator. Composite Structures, 2019. 210; p. 657-662.
  • 29. Son, L., Surya, M., Bur, M., Ubaidillah, U., and Dhelika, R., Shock and harmonic response analysis of UAV nose landing gear system with air damper. Cogent Engineering, 2021. 8(1): 1905231.
  • 30. Kumar, M., and Sarangi, S. K., Harmonic response of carbon nanotube reinforced functionally graded beam by finite element method. Materials Today: Proceedings, 2021. 44(6): p.4531-4536.
  • 31. Praharaj, R. K., and Datta, N., Dynamic response of plates resting on a fractional viscoelastic foundation and subjected to a moving load. Mechanics Based Design of Structures and Machines, 2020. p. 1-16.
  • 32. Abed, Z: A. K., and Majeed, W. I., Effect of boundary conditions on harmonic response of laminated plates. Composite Materials and Engineering, 2020. 2(2): p.125-140.
  • 33. Aghazadeh, R., Dynamics of axially functionally graded pipes conveying fluid using a higher order shear deformation theory. International Advanced Researches and Engineering Journal, 2021. 5(2): p.209-217.
  • 34. Liu, J., Fei, Q., Wu, S., Zhang, D., and Jiang, D., Dynamic response of curvilinearly stiffened plates under thermal environment. Journal of Mechanical Science and Technology, 2021. 35: p.2359-2367.
  • 35. Alavi, S. H., and Eipakchi, H., An analytical approach for dynamic response of viscoelastic annular sector plates. Mechanics of Advanced Materials and Structures, 2021. p. 1-17.
  • 36. Heydarpour, Y., Mohammadzaheri, M., Ghodsi, M., Soltani, P., Al-Jahwari, F., Bahadur, I., and Al-Amri, B., A coupled DQ-Heaviside-NURBS approach to investigate nonlinear dynamic response of GRE cylindrical shells under impulse loads. Thin-Walled Structures, 2021,165: 107958.
  • 37. Yulin, F., Lizhong, J., and Zhou, W., Dynamic response of a three-beam system with intermediate elastic connections under a moving load/mass-spring. Earthquake Engineering and Vibration, 2020, 19(2): p.377-395.
  • 38. Eyvazian, A., Shahsavari, D., and Karami, B., On the dynamic of graphene reinforced nanocomposite cylindrical shells subjected to a moving harmonic load. International Journal of Engineering Science, 154: 103339.
  • 39. Oke, W. A., and Khulief, Y. A., Dynamic response analysis of composite pipes conveying fluid in the presence of internal wall thinnhing. Journal of Engineering Mechanics, 2020, 146(10): 04020118.
  • 40. Ansys ® Training Manual [cited 2021 21 July], Available from: http://www.eng.lbl.gov/~als/FEA/ANSYS_V9_INFO/Workbench_Simulation_9.0_Intro_3rd_Edition/ppt/AWS90_Ch10_Harmonic.ppt.
  • 41. Petyt, M., Introduction to Finite Element Vibration Analysis. 2010, USA: New York.
  • 42. Ansys® Workbench, Release 18.2, Harmonic Response Analysis.
Year 2021, , 426 - 434, 15.12.2021
https://doi.org/10.35860/iarej.975247

Abstract

References

  • 1. Minh, P.P., Do, T. V., Duc, D. H., and Duc, D. N, The stability of cracked rectangular plate with variable thickness using phase field method. Thin-Walled Structures, 2018. 129: p. 157-165.
  • 2. Gonenli, C., and Das, O., Effect of crack location on buckling and dynamic stability in plate frame structures. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2021. 43: 311.
  • 3. Marjanović, M., and Vuskanović, D., Layerwise solution of free vibrations and buckling of laminated and sanwich plates with embedded delaminations. Composite Structures, 2014. 108: p.9-20.
  • 4. Javed, S., Viswanathan, K. K., Nurul Izyan, M. D., Aziz, Z. A., and Lee, J. H., Free vibration of cross-ply laminated plates based on higher-order shear deformation theory. Steel and Composite Structures, 2018. 26(4): p.473-484.
  • 5. Das, O., Ozturk, H., and Gonenli, C., Finite element vibration analysis of laminated composite parabolic thick plate frames. Steel and Composite Structures, 2020. 35(1): p.43-59.
  • 6. Hongwei, G., Hong, Z., and Xiaoying, Z., Numerical manifold method for vibration analysis of Kirchhoff’s plates of arbitrary geometry. Applied Mathematical Modelling, 2019. 66: p.695-727.
  • 7. Belarbi, M., Tati, A., Ounis, H., and Khechai, A., On the free vibration analysis of laminated composite and sandwich plates: A layerwise finite element formulation. Latin American Journal of Solids and Structures, 2017. 14(12): p.2265-2290.
  • 8. Vaghefpour, H., and Arvin, H., Nonlinear free vibration analysis of pre-actuated isotropic piezoelectric cantilever nano-beams. Microsystem Technologies, 2019. 25: p.4097-4110.
  • 9. Kaddar, M., Kaci, A., Bousahla, A. A., Tounsi, A., Bourada, F., Tounsi, A., Beida, E. A. A., Al-Osta, M. A., A study on the structural behaviour of functionally graded porous plates on elastic foundation using a new quasi-3D model: Bending and free vibration analysis. Computers and Concrete, 2020. 25(1): p. 37-57.
  • 10. Malekzadeh, K., and Sayyidmousavi, A., Free vibration analysis of sandwich plates with a uniformly distributed attached mass, flexible core and different boundary conditions. Journal of Sandwich Structures and Materials, 2010. 12(6): p.709-732.
  • 11. Demirtas, S., and Ozturk, H., Effective mode shapes of multi-storey frames subjected to moving train loads. Coupled Systems Mechanics, 2020. 9(4): p.311-323.
  • 12. Vinyas, M., A higher-order free vibration analysis of carbon nanotube-reinforced magneto-electro-elastic plates using finite element methods.Composites Part B: Engineering, 2021. 158: p.286-301.
  • 13. Safarpour, M., Rahimi, A. R., and Alibeigloo, A., Static and free vibration analysis of graphene platelets reinforced composite truncated conical shell, cylindricall shell, and annular plate using theory of elasticity and DQM. Mechanics Based Design of Structures and Machines, 2020. 48(4): p.496-524.
  • 14. Rahimi, A., Alibeigloo, A., and Safarpour M., Three-dimensional static and free vibration analysis of graphene platelet reinforced porous composite cylindrical shell. Journal of Vibration and Control, 2020. 26(19-20): p.1627-1645.
  • 15. Sahla, M., Saidi, H., Draiche, K., Bousahla, A. A., Bourada, F., Tounsi, A., Free vibration analysis of angle-ply laminated composite and soft core sandwich plates. Steel and Composite Structures, 2019. 33(5): p.663-679.
  • 16. Yan, Y., Liu, B., Xing, Y., Carrera, E., and Pagani, A., Free vibration analysis of variable stiffness composite laminated beams and plates by novel hierarchical differential quadrature finite elements. Composite Structures, 2021. 274; 114364.
  • 17. Bidgoli, E. M. R., and Arefi, M., Free vibration analysis of micro plate reinforced with functionally graded nanoplatelets based on modified strain-gradient formulation. Journal of Sandwich Structures and Materials, 2021. 23(2), p.436-472.
  • 18. Kıral, Z., Harmonic response analysis of symmetric laminated composite beams with different boundary conditions. Science and Engineering of Composite Materials, 2014. 21(4): p.559-569.
  • 19. Ramesha, C. M., Abhijith, K. G., Singh, A., Raj, A., and Naik, C. S., Modal analysis and harmonic response analysis of a crankshaft. International Journal of Emerging Technology and Advanced Engineering, 2015. 5(6): 323-327.
  • 20. Yu, Y., Zhang, S., Li, H., Wang, X., and Tiang, Y., Modal and harmonic response analysis of key components of ditch device based on ANSYS. Procedia Engineering, 2017. 174: p.956-964.
  • 21. Zhang, C., Jin, G., Ye, T., and Zhang, Y., Harmonic response analysis of coupled plate structures using the dynamic stiffness method. Thin-Walled Structures, 2018. 127: p.402-415.
  • 22. Jiaqiang, E., Liu, G., Liu, T., Zhang, Z., Zuo, H., Hu, W., and Wei, K., Harmonic response analysis of a large dish solar thermal power generation system with wind-induced vibration. Solar Energy, 2019. 181: p.116-129.
  • 23. Çeçen, F., and Aktaş, B., Modal and harmonic response analysis of new CFRP laminate reinforced concrete railway sleepers. Engineering Failure Analysis, 2021. 127: 105471.
  • 24. Rahmani, M., and Moslemi Petrudi, A., Nonlinear vibration and dynamic response of nano composite conical tube by conveying fluid flow. International Advanced Researches and Engineering Journal, 2020. 4(3): p.180-190.
  • 25. Cruceanu, I. C., and Sorohan, S., Determination of the harmonic response of a railway wheelset using the finite element analysis method. Procedia Manufacturing, 2020. 46: p.173-179. 26. Zeng, J., Chen, K., Ma, H., Duan, T., and Wen, B., Vibration response analysis of a cracked rotating compressor blade during run-up process. Mechanical Systems and Signal Processing, 2019. 118: p.568-583.
  • 27. Jena, R. M., Chakravety, S., and Jena, S. K., Dynamic response analysis of fractionally damped beams subjected to external loads using homotopy analysis method. Journal of Applied and Computational Mechanics, 2019. 5(2); p.355-366.
  • 28. Gawryluk, J., Mitura, A., and Teter, A., Dynamic response of a composite beam rotating at constant speed caused by harmonic excitation with MFC actuator. Composite Structures, 2019. 210; p. 657-662.
  • 29. Son, L., Surya, M., Bur, M., Ubaidillah, U., and Dhelika, R., Shock and harmonic response analysis of UAV nose landing gear system with air damper. Cogent Engineering, 2021. 8(1): 1905231.
  • 30. Kumar, M., and Sarangi, S. K., Harmonic response of carbon nanotube reinforced functionally graded beam by finite element method. Materials Today: Proceedings, 2021. 44(6): p.4531-4536.
  • 31. Praharaj, R. K., and Datta, N., Dynamic response of plates resting on a fractional viscoelastic foundation and subjected to a moving load. Mechanics Based Design of Structures and Machines, 2020. p. 1-16.
  • 32. Abed, Z: A. K., and Majeed, W. I., Effect of boundary conditions on harmonic response of laminated plates. Composite Materials and Engineering, 2020. 2(2): p.125-140.
  • 33. Aghazadeh, R., Dynamics of axially functionally graded pipes conveying fluid using a higher order shear deformation theory. International Advanced Researches and Engineering Journal, 2021. 5(2): p.209-217.
  • 34. Liu, J., Fei, Q., Wu, S., Zhang, D., and Jiang, D., Dynamic response of curvilinearly stiffened plates under thermal environment. Journal of Mechanical Science and Technology, 2021. 35: p.2359-2367.
  • 35. Alavi, S. H., and Eipakchi, H., An analytical approach for dynamic response of viscoelastic annular sector plates. Mechanics of Advanced Materials and Structures, 2021. p. 1-17.
  • 36. Heydarpour, Y., Mohammadzaheri, M., Ghodsi, M., Soltani, P., Al-Jahwari, F., Bahadur, I., and Al-Amri, B., A coupled DQ-Heaviside-NURBS approach to investigate nonlinear dynamic response of GRE cylindrical shells under impulse loads. Thin-Walled Structures, 2021,165: 107958.
  • 37. Yulin, F., Lizhong, J., and Zhou, W., Dynamic response of a three-beam system with intermediate elastic connections under a moving load/mass-spring. Earthquake Engineering and Vibration, 2020, 19(2): p.377-395.
  • 38. Eyvazian, A., Shahsavari, D., and Karami, B., On the dynamic of graphene reinforced nanocomposite cylindrical shells subjected to a moving harmonic load. International Journal of Engineering Science, 154: 103339.
  • 39. Oke, W. A., and Khulief, Y. A., Dynamic response analysis of composite pipes conveying fluid in the presence of internal wall thinnhing. Journal of Engineering Mechanics, 2020, 146(10): 04020118.
  • 40. Ansys ® Training Manual [cited 2021 21 July], Available from: http://www.eng.lbl.gov/~als/FEA/ANSYS_V9_INFO/Workbench_Simulation_9.0_Intro_3rd_Edition/ppt/AWS90_Ch10_Harmonic.ppt.
  • 41. Petyt, M., Introduction to Finite Element Vibration Analysis. 2010, USA: New York.
  • 42. Ansys® Workbench, Release 18.2, Harmonic Response Analysis.
There are 41 citations in total.

Details

Primary Language English
Subjects Mechanical Engineering
Journal Section Research Articles
Authors

Oğuzhan Daş 0000-0001-7623-9278

Publication Date December 15, 2021
Submission Date July 27, 2021
Acceptance Date October 7, 2021
Published in Issue Year 2021

Cite

APA Daş, O. (2021). Harmonic response analysis of elliptically curved thin plates. International Advanced Researches and Engineering Journal, 5(3), 426-434. https://doi.org/10.35860/iarej.975247
AMA Daş O. Harmonic response analysis of elliptically curved thin plates. Int. Adv. Res. Eng. J. December 2021;5(3):426-434. doi:10.35860/iarej.975247
Chicago Daş, Oğuzhan. “Harmonic Response Analysis of Elliptically Curved Thin Plates”. International Advanced Researches and Engineering Journal 5, no. 3 (December 2021): 426-34. https://doi.org/10.35860/iarej.975247.
EndNote Daş O (December 1, 2021) Harmonic response analysis of elliptically curved thin plates. International Advanced Researches and Engineering Journal 5 3 426–434.
IEEE O. Daş, “Harmonic response analysis of elliptically curved thin plates”, Int. Adv. Res. Eng. J., vol. 5, no. 3, pp. 426–434, 2021, doi: 10.35860/iarej.975247.
ISNAD Daş, Oğuzhan. “Harmonic Response Analysis of Elliptically Curved Thin Plates”. International Advanced Researches and Engineering Journal 5/3 (December 2021), 426-434. https://doi.org/10.35860/iarej.975247.
JAMA Daş O. Harmonic response analysis of elliptically curved thin plates. Int. Adv. Res. Eng. J. 2021;5:426–434.
MLA Daş, Oğuzhan. “Harmonic Response Analysis of Elliptically Curved Thin Plates”. International Advanced Researches and Engineering Journal, vol. 5, no. 3, 2021, pp. 426-34, doi:10.35860/iarej.975247.
Vancouver Daş O. Harmonic response analysis of elliptically curved thin plates. Int. Adv. Res. Eng. J. 2021;5(3):426-34.



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