摘要
非保守系统的广义拟变分原理在求解科学和工程问题的解析解和近似解方面有广泛的应用前景.由保守系统的最小余能原理出发,并考虑伴生力的特性,分别采用加零变换法和变积方法推导适用于弹性结构系统的广义拟余能原理.并将该原理应用于流固耦合问题,给出同时求解结构的内力和变形两类变量的计算方法.广义拟余能原理的建立为非保守系统的有限元计算提供了重要的理论依据.
The generalized quasi-variational principle for non-conservative systems has great potential for analytical and approximate solutions for problems in science and engineering. Starting from the minimum complementary energy principle, then considering the characteristic of fellow forces, the generalized quasi-complementary energy principle that is suitable for elastic structural systems was obtained by transformation of the zero-addition method and the variational integral method. Appling this principle to the liquid-solid coupling problem, the calculation method is solving two kinds of variables simultaneously - structural internal forces and deformations. The generalized quasicomplementary energy principle provides a theoretical basis for finite-element calculation in non-conservative systems.
出处
《哈尔滨工程大学学报》
EI
CAS
CSCD
北大核心
2007年第10期1095-1099,共5页
Journal of Harbin Engineering University
基金
国家自然科学基金资助项目(10272034)
博士点基金资助课题(20060217020)
哈尔滨工程大学基础研究基金资助项目(HEUF04003)
关键词
非保守系统
拟变分原理
拟驻值条件
流固耦合
non-conservative systems
quasi-variational principles
quasi-stationary condition
liquid-solid coupling
