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İki Malzemeli Kompozit Bir Kirişin Serbest ve Zorlanmış Titreşimlerinin İncelenmesi

Year 2018, Volume: 21 Issue: 1, 65 - 73, 31.03.2018
https://doi.org/10.2339/politeknik.386841

Abstract

Bu çalışmada, iki malzemeli kompozit basit mesnetli
bir kirişin serbest ve zorlanmış titreşimi dış basınç yükü etkisi altında
araştırılmıştır. Ele alınan kompozit kirişin çözümünde, düzlem parçalı sürekli
ortam modeli ve sonlu elemanlar yöntemi kullanılmıştır. Söz konusu problemin
yönetici denklemleri, Hamilton prensibi ile elde edilmiştir. İki malzemeli
kirşin boyutları, levha modeli olacak biçimde seçilerek düzlem gerilme problemi
uygulanmıştır. Ele alınan çalışmada, farklı malzeme sabit oranları ile dağılımlarının,
kirişin serbest ve zorlanmış titreşim cevaplarına olan etkileri
araştırılmıştır.

References

  • [1] Doyle, J. F., "Force identification from dynamic responses of a bimaterial beam", Experimental Mechanics, 33:64-69, (1993).
  • [2] Shu, D. ve Fan, H., "Free vibration of bimaterial split beam", Composites Part B: Engineering, 27:79-84, (1996).
  • [3] Shu, D. ve MSRao, P., "Buckling analysis of bimaterial beams with single asymmetric delamination", Composite structures, 64:501-509, (2004).
  • [4] Her, S. C. ve Su, W. B., "The Strain Energy Release Rate of a Bi-Material Beam with Interfacial Crack", In Key Engineering Materials, 306:369-374, (2006).
  • [5] Yu, Y., Ashcroft, I. A. ve Swallowe, G., "An experimental investigation of residual stresses in an epoxy–steel laminate", International journal of adhesion and adhesives, 26: 511-519, (2006).
  • [6] Zhang, Z. J. ve Paulino, G. H., "Wave propagation and dynamic analysis of smoothly graded heterogeneous continua using graded finite elements", International Journal of Solids and Structures, 44: 3601-3626, (2007).
  • [7] Della, C. N. ve Shu, D., "Free vibration analysis of delaminated bimaterial beams", Composite structures, 80: 212-220, (2007).
  • [8] Srinivasan, P. ve Spearing, S. M., "Optimal materials selection for bimaterial piezoelectric microactuators", Journal of Microelectromechanical Systems, 17: 462-472, (2008).
  • [9] Batra, R.C., Porfiri, M. and Spinello, D., "Free and forced vibrations of a segmented bar by a meshless local Petrov–Galerkin (MLPG) formulation", Computational Mechanics, 41:473-491, (2008).
  • [10] Eren, İ., "Analyses of large deflections for logarithmical bimodulus cantilever beams", Journal of Reinforced Plastics and Composites, 28:1359-1363, (2008).
  • [11] Eren, İ., "İki Malzemeli Kompozit Konsol Kirişlerdeki Büyük Yer Değiştirmelerin İncelenmesi", Fırat University Journal of Engineering, 21: 109-114, (2009).
  • [12] Wu, G.Y., " The analysis of dynamic instability of a bimaterial beam with alternating magnetic fields and thermal loads", Journal of Sound and Vibration, 327:197-210, (2009).
  • [13] Lin, I. K., Zhang, X. ve Zhang, Y., "Thermomechanical behavior and microstructural evolution of SiNx/Al bimaterial microcantilevers", Journal of Micromechanics and Microengineering, 19: 085010, (2009).
  • [14] Carlberger, T. and Stigh, U., "Dynamic testing and simulation of hybrid joined bi-material beam", Thin-walled structures, 48:609-619, (2010).
  • [15] Ivanova, J., Nikolova, G., Dineva, P. and Becker, W., "Interface Behavior of a Bimaterial Plate under Dynamic Loading", Journal of engineering mechanics, 136: 1194-1201, (2010).
  • [16] Wang, M. ve Liu, Y., "Analytical solution for bi-material beam with graded intermediate layer", Composite Structures, 92:2358-2368, (2010).
  • [17] Her, S. C., Lin, C. H. ve Yeh, S. W., "Thermal Stress Analysis of a Bi-Material Layered Structure", In Key Engineering Materials 450:161-164, (2011).
  • [18] Petrova, V. ve Schmauder, S., "Thermal fracture of a functionally graded/homogeneous bimaterial with system of cracks", Theoretical and Applied Fracture Mechanics, 55:148-157, (2011).
  • [19] Voicu, R., Muller, R. ve Pustan, M., "Investigation of dimensions effect on stress of bi-material cantilever beam", In Proceedings of the 2011 34th International Spring Seminar on Electronics Technology (ISSE), 461-465, (2011).
  • [20] Akbaş, Ş.D. "Geometrically nonlinear static analysis of edge cracked Timoshenko beams composed of functionally graded material", Mathematical Problems in Engineering, 2013, (2013).
  • [21] Akbaş, Ş.D., "Static analysis of a functionally graded beam with edge cracks on elastic foundation", In Proceedings of the 9 th International Fracture Conference, İstanbul, (pp. 70-80), (2011).
  • [22] Akbaş, Ş.D., "Kirişlerin Geometrik Doğrusal Olmayan Davranışlarının 3 Boyutlu Sürekli Ortam Modeli ile İncelenmesi”, Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 17:28-37, (2016).
  • [23] Akbaş, Ş.D., "Large post-buckling behavior of Timoshenko beams under axial compression loads”, Structural Engineering and Mechanics, 51: 955-971, (2014).
  • [24] Akbaş, Ş.D., "Wave propagation analysis of edge cracked beams resting on elastic foundation”, International Journal of Engineering & Applied Sciences, 6: 40-52, (2014).
  • [25] Akbaş, Ş.D., "Wave propagation analysis of edge cracked circular beams under impact force”, PloS one, 9: e100496, (2014).
  • [26] Akbaş, Ş.D., "Large deflection analysis of edge cracked simple supported beams”, Structural Engineering and Mechanics, 54: 433-451, (2014).
  • [27] Akbaş, Ş.D., "Post-buckling analysis of axially functionally graded three-dimensional beams”, International Journal of Applied Mechanics, 7:1550047, (2015).
  • [28] Kocatürk, T. ve Akbaş, Ş.D., "Geometrically non-linear static analysis of a simply supported beam made of hyperelastic material", Structural Engineering and Mechanics, 35:677-697, (2010).
  • [29] Kocatürk, T. ve Akbaş, Ş.D., "Thermal post-buckling analysis of functionally graded beams with temperature-dependent physical properties", Steel and Composite Structures, 15:481-505, (2013).
  • [30] Kocatürk, T. ve Akbaş, Ş.D., "Post-buckling analysis of Timoshenko beams with various boundary conditions under non-uniform thermal loading, Structural Engineering and Mechanics, 40: 347-371, (2011).
  • [31] Akbaş, Ş.D. ve Kocatürk, T., "Post-buckling analysis of a simply supported beam under uniform thermal loading", Scientific Research and Essays, 6:1135-1142, (2011).
  • [32] Akbaş, Ş.D. ve Kocatürk, T., "Post-buckling analysis of Timoshenko beams with temperature-dependent physical properties under uniform thermal loading, Structural Engineering and Mechanics, 44: 109-125, (2012).
  • [33] Akbaş, Ş.D. ve Kocatürk, T., "Post-buckling analysis of functionally graded three-dimensional beams under the influence of temperature, Journal of Thermal Stresses, 36: 1233-1254, (2013).
  • [34] Kocatürk, T. Eskin, A. ve Akbaş, Ş.D. “Wave propagation in a piecewise homegenous cantilever beam under impact force”, International Journal of Physical Sciences, 6: 3867-3874, /2011.
  • [35] Suhir, E. ve Nicolics, J., " Bending of a bi-material cantilever beam, with consideration of the role of the interfacial shearing stress", ZAMM-Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik, 92:573-582, (2012).
  • [36] Wu, G. Y., "Non-linear vibration of bimaterial magneto-elastic cantilever beam with thermal loading", International Journal of Non-Linear Mechanics, 55:10-18, (2013).
  • [37] Liu, Y. ve Shu, D. W., "Analytical solution of the vibration of delaminated bimaterial beams fully or partially supported by elastic foundation", In Applied Mechanics and Materials, 394: 75-79, (2013).
  • [38] Petrova, V. ve Schmauder, S., "Modelling of thermal fracture of functionally graded/homogeneous bimaterial structures under thermo-mechanical loading", In Key Engineering Materials, 592:145-148, (2014).
  • [39] Chama, M., Boutabout, B., Lousdad, A., Bensmain, W. ve Bouiadjra, B.A.B., "Crack propagation and deviation in bi-materials under thermo-mechanical loading", Structural Engineering and Mechanics, 50: 441-457, (2014).
  • [40] Li, A.Q., Zhou, S.J., and Zhou, S.S., "The Size-Dependent Inherent Property Of Bilayered Micro-Beams", Engineering Mechanics, 31: 223-228, (2014).
  • [41] ANSYS Workbench Release 14.0, SAS IP, Inc.

Investigation on Free and Forced Vibration of a Bi-Material Composite Beam

Year 2018, Volume: 21 Issue: 1, 65 - 73, 31.03.2018
https://doi.org/10.2339/politeknik.386841

Abstract

In this study, free and forced vibration of a bi-material composite beam
subjected to external pressure load is investigated. In the solution of the
composite  beam, plane piecewise solid
continua model and finite element method is used. The governing equations of
the problems are obtained by using the Hamilton procedure. With the dimensions
of the bi-material beam are assumed as plane model, the plane stress problem is
implemented. In the study, the effects of the different material constant
ratios and distributions on the free and forced vibration responses are
investigated.

References

  • [1] Doyle, J. F., "Force identification from dynamic responses of a bimaterial beam", Experimental Mechanics, 33:64-69, (1993).
  • [2] Shu, D. ve Fan, H., "Free vibration of bimaterial split beam", Composites Part B: Engineering, 27:79-84, (1996).
  • [3] Shu, D. ve MSRao, P., "Buckling analysis of bimaterial beams with single asymmetric delamination", Composite structures, 64:501-509, (2004).
  • [4] Her, S. C. ve Su, W. B., "The Strain Energy Release Rate of a Bi-Material Beam with Interfacial Crack", In Key Engineering Materials, 306:369-374, (2006).
  • [5] Yu, Y., Ashcroft, I. A. ve Swallowe, G., "An experimental investigation of residual stresses in an epoxy–steel laminate", International journal of adhesion and adhesives, 26: 511-519, (2006).
  • [6] Zhang, Z. J. ve Paulino, G. H., "Wave propagation and dynamic analysis of smoothly graded heterogeneous continua using graded finite elements", International Journal of Solids and Structures, 44: 3601-3626, (2007).
  • [7] Della, C. N. ve Shu, D., "Free vibration analysis of delaminated bimaterial beams", Composite structures, 80: 212-220, (2007).
  • [8] Srinivasan, P. ve Spearing, S. M., "Optimal materials selection for bimaterial piezoelectric microactuators", Journal of Microelectromechanical Systems, 17: 462-472, (2008).
  • [9] Batra, R.C., Porfiri, M. and Spinello, D., "Free and forced vibrations of a segmented bar by a meshless local Petrov–Galerkin (MLPG) formulation", Computational Mechanics, 41:473-491, (2008).
  • [10] Eren, İ., "Analyses of large deflections for logarithmical bimodulus cantilever beams", Journal of Reinforced Plastics and Composites, 28:1359-1363, (2008).
  • [11] Eren, İ., "İki Malzemeli Kompozit Konsol Kirişlerdeki Büyük Yer Değiştirmelerin İncelenmesi", Fırat University Journal of Engineering, 21: 109-114, (2009).
  • [12] Wu, G.Y., " The analysis of dynamic instability of a bimaterial beam with alternating magnetic fields and thermal loads", Journal of Sound and Vibration, 327:197-210, (2009).
  • [13] Lin, I. K., Zhang, X. ve Zhang, Y., "Thermomechanical behavior and microstructural evolution of SiNx/Al bimaterial microcantilevers", Journal of Micromechanics and Microengineering, 19: 085010, (2009).
  • [14] Carlberger, T. and Stigh, U., "Dynamic testing and simulation of hybrid joined bi-material beam", Thin-walled structures, 48:609-619, (2010).
  • [15] Ivanova, J., Nikolova, G., Dineva, P. and Becker, W., "Interface Behavior of a Bimaterial Plate under Dynamic Loading", Journal of engineering mechanics, 136: 1194-1201, (2010).
  • [16] Wang, M. ve Liu, Y., "Analytical solution for bi-material beam with graded intermediate layer", Composite Structures, 92:2358-2368, (2010).
  • [17] Her, S. C., Lin, C. H. ve Yeh, S. W., "Thermal Stress Analysis of a Bi-Material Layered Structure", In Key Engineering Materials 450:161-164, (2011).
  • [18] Petrova, V. ve Schmauder, S., "Thermal fracture of a functionally graded/homogeneous bimaterial with system of cracks", Theoretical and Applied Fracture Mechanics, 55:148-157, (2011).
  • [19] Voicu, R., Muller, R. ve Pustan, M., "Investigation of dimensions effect on stress of bi-material cantilever beam", In Proceedings of the 2011 34th International Spring Seminar on Electronics Technology (ISSE), 461-465, (2011).
  • [20] Akbaş, Ş.D. "Geometrically nonlinear static analysis of edge cracked Timoshenko beams composed of functionally graded material", Mathematical Problems in Engineering, 2013, (2013).
  • [21] Akbaş, Ş.D., "Static analysis of a functionally graded beam with edge cracks on elastic foundation", In Proceedings of the 9 th International Fracture Conference, İstanbul, (pp. 70-80), (2011).
  • [22] Akbaş, Ş.D., "Kirişlerin Geometrik Doğrusal Olmayan Davranışlarının 3 Boyutlu Sürekli Ortam Modeli ile İncelenmesi”, Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 17:28-37, (2016).
  • [23] Akbaş, Ş.D., "Large post-buckling behavior of Timoshenko beams under axial compression loads”, Structural Engineering and Mechanics, 51: 955-971, (2014).
  • [24] Akbaş, Ş.D., "Wave propagation analysis of edge cracked beams resting on elastic foundation”, International Journal of Engineering & Applied Sciences, 6: 40-52, (2014).
  • [25] Akbaş, Ş.D., "Wave propagation analysis of edge cracked circular beams under impact force”, PloS one, 9: e100496, (2014).
  • [26] Akbaş, Ş.D., "Large deflection analysis of edge cracked simple supported beams”, Structural Engineering and Mechanics, 54: 433-451, (2014).
  • [27] Akbaş, Ş.D., "Post-buckling analysis of axially functionally graded three-dimensional beams”, International Journal of Applied Mechanics, 7:1550047, (2015).
  • [28] Kocatürk, T. ve Akbaş, Ş.D., "Geometrically non-linear static analysis of a simply supported beam made of hyperelastic material", Structural Engineering and Mechanics, 35:677-697, (2010).
  • [29] Kocatürk, T. ve Akbaş, Ş.D., "Thermal post-buckling analysis of functionally graded beams with temperature-dependent physical properties", Steel and Composite Structures, 15:481-505, (2013).
  • [30] Kocatürk, T. ve Akbaş, Ş.D., "Post-buckling analysis of Timoshenko beams with various boundary conditions under non-uniform thermal loading, Structural Engineering and Mechanics, 40: 347-371, (2011).
  • [31] Akbaş, Ş.D. ve Kocatürk, T., "Post-buckling analysis of a simply supported beam under uniform thermal loading", Scientific Research and Essays, 6:1135-1142, (2011).
  • [32] Akbaş, Ş.D. ve Kocatürk, T., "Post-buckling analysis of Timoshenko beams with temperature-dependent physical properties under uniform thermal loading, Structural Engineering and Mechanics, 44: 109-125, (2012).
  • [33] Akbaş, Ş.D. ve Kocatürk, T., "Post-buckling analysis of functionally graded three-dimensional beams under the influence of temperature, Journal of Thermal Stresses, 36: 1233-1254, (2013).
  • [34] Kocatürk, T. Eskin, A. ve Akbaş, Ş.D. “Wave propagation in a piecewise homegenous cantilever beam under impact force”, International Journal of Physical Sciences, 6: 3867-3874, /2011.
  • [35] Suhir, E. ve Nicolics, J., " Bending of a bi-material cantilever beam, with consideration of the role of the interfacial shearing stress", ZAMM-Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik, 92:573-582, (2012).
  • [36] Wu, G. Y., "Non-linear vibration of bimaterial magneto-elastic cantilever beam with thermal loading", International Journal of Non-Linear Mechanics, 55:10-18, (2013).
  • [37] Liu, Y. ve Shu, D. W., "Analytical solution of the vibration of delaminated bimaterial beams fully or partially supported by elastic foundation", In Applied Mechanics and Materials, 394: 75-79, (2013).
  • [38] Petrova, V. ve Schmauder, S., "Modelling of thermal fracture of functionally graded/homogeneous bimaterial structures under thermo-mechanical loading", In Key Engineering Materials, 592:145-148, (2014).
  • [39] Chama, M., Boutabout, B., Lousdad, A., Bensmain, W. ve Bouiadjra, B.A.B., "Crack propagation and deviation in bi-materials under thermo-mechanical loading", Structural Engineering and Mechanics, 50: 441-457, (2014).
  • [40] Li, A.Q., Zhou, S.J., and Zhou, S.S., "The Size-Dependent Inherent Property Of Bilayered Micro-Beams", Engineering Mechanics, 31: 223-228, (2014).
  • [41] ANSYS Workbench Release 14.0, SAS IP, Inc.
There are 41 citations in total.

Details

Subjects Engineering
Journal Section Research Article
Authors

Şeref Doğuşcan Akbaş

Publication Date March 31, 2018
Submission Date December 22, 2016
Published in Issue Year 2018 Volume: 21 Issue: 1

Cite

APA Akbaş, Ş. D. (2018). İki Malzemeli Kompozit Bir Kirişin Serbest ve Zorlanmış Titreşimlerinin İncelenmesi. Politeknik Dergisi, 21(1), 65-73. https://doi.org/10.2339/politeknik.386841
AMA Akbaş ŞD. İki Malzemeli Kompozit Bir Kirişin Serbest ve Zorlanmış Titreşimlerinin İncelenmesi. Politeknik Dergisi. March 2018;21(1):65-73. doi:10.2339/politeknik.386841
Chicago Akbaş, Şeref Doğuşcan. “İki Malzemeli Kompozit Bir Kirişin Serbest Ve Zorlanmış Titreşimlerinin İncelenmesi”. Politeknik Dergisi 21, no. 1 (March 2018): 65-73. https://doi.org/10.2339/politeknik.386841.
EndNote Akbaş ŞD (March 1, 2018) İki Malzemeli Kompozit Bir Kirişin Serbest ve Zorlanmış Titreşimlerinin İncelenmesi. Politeknik Dergisi 21 1 65–73.
IEEE Ş. D. Akbaş, “İki Malzemeli Kompozit Bir Kirişin Serbest ve Zorlanmış Titreşimlerinin İncelenmesi”, Politeknik Dergisi, vol. 21, no. 1, pp. 65–73, 2018, doi: 10.2339/politeknik.386841.
ISNAD Akbaş, Şeref Doğuşcan. “İki Malzemeli Kompozit Bir Kirişin Serbest Ve Zorlanmış Titreşimlerinin İncelenmesi”. Politeknik Dergisi 21/1 (March 2018), 65-73. https://doi.org/10.2339/politeknik.386841.
JAMA Akbaş ŞD. İki Malzemeli Kompozit Bir Kirişin Serbest ve Zorlanmış Titreşimlerinin İncelenmesi. Politeknik Dergisi. 2018;21:65–73.
MLA Akbaş, Şeref Doğuşcan. “İki Malzemeli Kompozit Bir Kirişin Serbest Ve Zorlanmış Titreşimlerinin İncelenmesi”. Politeknik Dergisi, vol. 21, no. 1, 2018, pp. 65-73, doi:10.2339/politeknik.386841.
Vancouver Akbaş ŞD. İki Malzemeli Kompozit Bir Kirişin Serbest ve Zorlanmış Titreşimlerinin İncelenmesi. Politeknik Dergisi. 2018;21(1):65-73.

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