结构非线性振动的杂交/混合幅值增量变分原理  

Hybrid/mixed amplitude incremental variational principle for nonlinear vibration of structures

作　　者：贺国京[1] 陈大鹏[2] 

机构地区：[1]长沙铁道学院土木建筑学院,湖南长沙410075 [2]西南交通大学土木工程学院,四川成都610031

出　　处：《铁道学报》2000年第2期60-66,共7页Journal of the China Railway Society

基　　金：国家自然科学基金!资助项目 (1 950 2 0 0 3)

摘　　要：从 Hellinger- Reissner混合型 Hamilton变分原理出发 ,采用 Total L agrange坐标描述法 ,建立了以Green应变和第二 Piola- Kichhoff应力表示的结构非线性振动的势能——杂交 /混合幅值增量变分原理。据此 ,建立了中厚度 -薄板非线性振动的增量有限元列式。Based on the Hamilton's variational principle of Hellinger Reissner mixed type and with the Total Lagrangian description, a hybrid/mixed amplitude incremental variational principle for nonlinear vibration of structures is established by use of Green strain and Piola Kichhoff stress. On such basis, an incremental finite element formulation for nonlinear vibration of moderately thick and thin plate is presented. Accordingly, large amplitude free vibration of simple and clamped plate are investigated. The reliability and effectiveness are numerically justified.

关 键 词：结构非线性振动 杂交/混合 幅值增量 变分原理 

分 类 号：O327[理学—一般力学与力学基础] O322[理学—力学]