Mesh-free least-squares-based finite difference method for large-amplitude free vibration analysis of arbitrarily shaped thin plates
Tài liệu tham khảo
Timoshenko, 1959
Ugural, 1999
Leissa, 1993
Chu, 1956, Influence of large amplitudes on free flexural vibrations of rectangular elastic plates, Journal of Applied Mechanics, 23, 532, 10.1115/1.4011396
Yamaki, 1961, Influence of large amplitudes on flexural vibrations of elastic plates, ZAMM, 41, 501, 10.1002/zamm.19610411204
Berger, 1955, A new approach to the analysis of large deflections of plates, Journal of Applied Mechanics, 22, 465, 10.1115/1.4011138
Wah, 1963, Large amplitude flexural vibration of rectangular plates, International Journal of Mechanical Sciences, 5, 425, 10.1016/0020-7403(63)90026-2
Mei, 1973, Finite element displacement method for large amplitude free flexural vibrations of beams and plates, Computers and Structures, 3, 163, 10.1016/0045-7949(73)90081-3
Rao, 1976, A finite element formulation for large amplitude flexural vibrations of thin rectangular plates, Computers and Structures, 6, 163, 10.1016/0045-7949(76)90024-9
Rao, 1976, Finite element formulation for the large amplitude free vibrations of beams and orthotropic circular plates, Computers and Structures, 6, 169, 10.1016/0045-7949(76)90025-0
Mei, 1979, Large amplitude free flexural vibrations of thin plates of arbitrary shapes, Computers and Structures, 10, 675, 10.1016/0045-7949(79)90011-7
Wang, 1991, A boundary integral equation formulation for large amplitude nonlinear vibration of thin elastic plates, Computer Methods in Applied Mechanics and Engineering, 86, 73, 10.1016/0045-7825(91)90139-W
Shi, 1996, A finite element time domain modal formulation for large amplitude free vibrations of beams and plates, Journal of Sound and Vibration, 193, 453, 10.1006/jsvi.1996.0295
Kurpa, 2005, Application of the R-function method to nonlinear vibrations of thin plates of arbitrary shape, Journal of Sound and Vibration, 284, 379, 10.1016/j.jsv.2004.06.012
Barik, 2002, A new stiffened plate element for the analysis of arbitrary plates, Thin-Walled Structures, 40, 625, 10.1016/S0263-8231(02)00016-2
Ding, 2004, Development of least square-based two-dimensional finite difference schemes and their application to simulate natural convection in a cavity, Computers and Fluids, 33, 137, 10.1016/S0045-7930(03)00036-7
Shu, 2007, Free vibration analysis of plates using least-square-based finite difference method, Computer Methods in Applied Mechanics and Engineering, 196, 1330, 10.1016/j.cma.2006.09.008
C.M. Wang, W.X. Wu, C. Shu, T. Utsunomiya, LSFD method for vibration analysis of plates with free edges, Advances in Steel Structures, ICASS’05, 2005, pp. 1715–1722.
Wu, 2006, Computation of modal stress resultants for completely free vibrating plates by LSFD method, Journal of Sound and Vibration, 297, 704, 10.1016/j.jsv.2006.04.019
Wang, 2006, LSFD method for accurate vibration modes and modal stress-resultants of freely vibrating plates that model VLFS, Computers and Structures, 84, 2329, 10.1016/j.compstruc.2006.08.055
Shu, 2006, Least squares finite difference method for vibration analysis of plates, vol. 2
Chen, 1996, Reproducing kernel particle methods for large deformation analysis of non-linear structures, Computer Methods in Applied Mechanics and Engineering, 139, 195, 10.1016/S0045-7825(96)01083-3
Li, 2004, Moving least-squares differential quadrature method for free vibration of antisymmetric laminates, Journal of Engineering Mechanics, 130, 1447, 10.1061/(ASCE)0733-9399(2004)130:12(1447)
Liew, 2003, Moving least squares differential quadrature method and its application to the analysis of shear deformable plates, International Journal for Numerical Methods in Engineering, 56, 2331, 10.1002/nme.646
Liu, 1995, Reproducing kernel particle methods for structural dynamics, International Journal for Numerical Methods in Engineering, 38, 1655, 10.1002/nme.1620381005
Peng, 2006, Buckling and free vibration analyses of stiffened plates using the FSDT mesh-free method, Journal of Sound and Vibration, 289, 421, 10.1016/j.jsv.2005.02.023