Size-dependent vibrations of post-buckled functionally graded Mindlin rectangular microplates
作者： R. Ansari , M. FaghihShojaei , V. Mohammadi , R. Gholami , M. A. Darabi
DOI: 10.1590/S1679-78252014001300003
关键词:
摘要: In this paper, the free vibration behavior of post-buckled functionally graded (FG) Mindlin rectangular microplates are described based on modified couple stress theory (MCST). This enables consideration size-effect through introducing material length scale parameters. The FG made a mixture metal and ceramic considered whose volume fraction components is expressed by power law function. By means Hamilton's principle, nonlinear governing equations associated boundary conditions derived for micro-plates in postbuckling domain. then discretized using generalized differential quadrature (GDQ) method before solving numerically pseudo-arclength continuation technique. solution procedure, problem investigated first. Afterwards, around buckled configuration discussed. effects dimensionless parameter, gradient index aspect ratio path frequency subject to arbitrary edge supports thoroughly
sci-hub.se 参考文章(35)
Chang Shu, Differential Quadrature and Its Application in Engineering ,(2000)
R. D. Mindlin, H. F. Tiersten, Effects of couple-stresses in linear elasticity Archive for Rational Mechanics and Analysis. ,vol. 11, pp. 415- 448 ,(1962) , 10.1007/BF00253946
CF Lü, WQ Chen, Chee Wah Lim, None, Elastic mechanical behavior of nano-scaled FGM films incorporating surface energies Composites Science and Technology. ,vol. 69, pp. 1124- 1130 ,(2009) , 10.1016/J.COMPSCITECH.2009.02.005
R. Ansari, R. Gholami, M. A. Darabi, Thermal Buckling Analysis of Embedded Single-Walled Carbon Nanotubes with Arbitrary Boundary Conditions Using the Nonlocal Timoshenko Beam Theory Journal of Thermal Stresses. ,vol. 34, pp. 1271- 1281 ,(2011) , 10.1080/01495739.2011.616802
G.C. Tsiatas, A new Kirchhoff plate model based on a modified couple stress theory International Journal of Solids and Structures. ,vol. 46, pp. 2757- 2764 ,(2009) , 10.1016/J.IJSOLSTR.2009.03.004
Shi-Rong Li, Zhao-Chun Teng, You-He Zhou, FREE VIBRATION OF HEATED EULER–BERNOULLI BEAMS WITH THERMAL POSTBUCKLING DEFORMATIONS Journal of Thermal Stresses. ,vol. 27, pp. 843- 856 ,(2004) , 10.1080/01495730490486352
Reza Ansari, Raheb Gholami, Mohammad Ali Darabi, A nonlinear Timoshenko beam formulation based on strain gradient theory Journal of Mechanics of Materials and Structures. ,vol. 7, pp. 195- 211 ,(2012) , 10.2140/JOMMS.2012.7.195
M.E. Fares, M.Kh. Elmarghany, Doaa Atta, An efficient and simple refined theory for bending and vibration of functionally graded plates Composite Structures. ,vol. 91, pp. 296- 305 ,(2009) , 10.1016/J.COMPSTRUCT.2009.05.008
F. Yang, A.C.M. Chong, D.C.C. Lam, P. Tong, Couple stress based strain gradient theory for elasticity International Journal of Solids and Structures. ,vol. 39, pp. 2731- 2743 ,(2002) , 10.1016/S0020-7683(02)00152-X
D.C.C. Lam, F. Yang, A.C.M. Chong, J. Wang, P. Tong, Experiments and theory in strain gradient elasticity Journal of The Mechanics and Physics of Solids. ,vol. 51, pp. 1477- 1508 ,(2003) , 10.1016/S0022-5096(03)00053-X