AN INVESTIGATION INTO GEOMETRICALLY NONLINEAR-ANALYSIS OF RECTANGULAR LAMINATED PLATES USING THE HIERARCHICAL FINITE-ELEMENT METHOD

被引：42

作者：

HAN, WM ^{[1
]}

PETYT, M ^{[1
]}

HSIAO, KM ^{[1
]}

机构：

[1] NATL CHIAO TUNG UNIV,DEPT MECH ENGN,HSINCHU,TAIWAN

来源：

FINITE ELEMENTS IN ANALYSIS AND DESIGN | 1994年 / 18卷 / 1-3期

关键词：

Convergence property - Equilibrium equations - Hierarchical finite element method - High order polynomial integrals - Laminated composite rectangular plates - Newton raphson method - Nonlinear analysis - Numerical stability - Tangential stiffness matrix;

D O I：

10.1016/0168-874X(94)90107-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The geometrically nonlinear analysis of laminated composite rectangular plates is studied using the hierarchical finite element method (HFEM). The derivation of the equilibrium equations and tangential stiffness matrix are given. Symbolic computation is used to calculate the high-order polynomial integrals needed to establish the stiffness matrices. The Newton-Raphson method is used in the iterative procedure. The convergence property and the numerical stability of the method are discussed. The influence of in-plane displacements on the geometrically nonlinear deformation is also discussed. The results of static analyses indicate that the extension of HFEM to geometrically nonlinear analysis of laminated rectangular plates is very successful. It is believed that this scheme can be easily applied to geometrically nonlinear dynamic analysis of laminated plates.

引用

页码：273 / 288

页数：16

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