A CONSISTENT HIGHER-ORDER THEORY OF LAMINATED PLATES WITH NONLINEAR IMPACT MODAL-ANALYSIS

被引:16
作者
CHAO, CC
TUNG, TP
SHEU, CC
TSENG, JH
机构
[1] Department of Power Mechanical Engineering, National Tsing Hua University, Hsinchu
来源
JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME | 1994年 / 116卷 / 03期
关键词
D O I
10.1115/1.2930438
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
A consistent higher-order theory is developed for cross-ply laminated thick plates under transverse normal impact via an energy variational approach, in which the 3-D surface/edge boundary conditions and interlaminar displacement/stress continuities are satisfied, in an attempt to find the dynamic deformation and all six stress components throughout the plate during the impact process. The dynamic displacement field is expressed in a mixed form of in-plane double Fourier series and cubic polynomials through thickness as 12 variables for each layer. A system of modified Lagrange's equations is derived with all surface and interface constraints included. The nonlinear impact modal analysis is performed using the Hertz contact law in a patch loading simulation and Green's function for small time-steps linearization. The 3-D displacements are found with thickness shrinking and stresses generally unsymmetric with respect to the mid-surface. Tensile cracks are predicted at the unimpacted side.
引用
收藏
页码:371 / 378
页数:8
相关论文
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