Incremental deformation analysis of shell and corrugated diaphragm based on arbitrary configuration  

作　　者：Xuefeng He Jue Zhang Huijun Chen Jing Fang 

机构地区：[1]Department of Mechanics and Engineering Science, Peking University, Beijing 100871, China

出　　处：《Acta Mechanica Sinica》2005年第6期592-600,共9页力学学报（英文版）

基　　金：The project supported by the National Natural Science Foundation of China(10125211);the 973 Program(G1999033108)

摘　　要：With respect to an arbitrary configuration of a deformed structure, two sets of incremental equations are proposed for the deformation analysis of revolution shells and diaphragms loaded by both lateral pressures and the initial stresses produced in manufacturing. These general equations can be reduced to the simplified Koiter＇s Reissner-Meissner-Reissner （RMR） equations and the simplified Reissner＇s equations, when the initial stresses are set to zero. They can also be deduced to the total Lagrange form or the updated Lagrange form, respectively, as the structure is spec- ified as the un-deformed or the former-deformed configurations. These incremental equations can be easily transformed into finite difference forms and solved by common numerical solvers of ordinary differential equations. Some numerical examples are presented to show the applications of the incremental equations to the deep shell of revolution and the corrugated diaphragms used in microelectronical mechanical system （MEMS）. The results are in good agreement with those from finite element method （FEM）.With respect to an arbitrary configuration of a deformed structure, two sets of incremental equations are proposed for the deformation analysis of revolution shells and diaphragms loaded by both lateral pressures and the initial stresses produced in manufacturing. These general equations can be reduced to the simplified Koiter＇s Reissner-Meissner-Reissner （RMR） equations and the simplified Reissner＇s equations, when the initial stresses are set to zero. They can also be deduced to the total Lagrange form or the updated Lagrange form, respectively, as the structure is spec- ified as the un-deformed or the former-deformed configurations. These incremental equations can be easily transformed into finite difference forms and solved by common numerical solvers of ordinary differential equations. Some numerical examples are presented to show the applications of the incremental equations to the deep shell of revolution and the corrugated diaphragms used in microelectronical mechanical system （MEMS）. The results are in good agreement with those from finite element method （FEM）.

关 键 词：Shell of revolution MEMS diaphragms Incremental equations Arbitrary configuration Nonlinear behaviors 

分 类 号：O413.1[理学—理论物理]