| 弹性结构非保守系统的广义拟余能原理及其应用 |
| |
| 引用本文： | 梁立孚,刘宗民,郭庆勇.弹性结构非保守系统的广义拟余能原理及其应用[J].哈尔滨工程大学学报,2007,28(10):1095-1099. |
| |
| 作者姓名： | 梁立孚 刘宗民 郭庆勇 |
| |
| 作者单位： | 哈尔滨工程大学,建筑工程学院,黑龙江,哈尔滨,150001 |
| |
| 基金项目： | 国家自然科学基金
,
教育部高等学校博士学科点专项科研基金
,
哈尔滨工程大学校科研和教改项目 |
| |
| 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.
|
| 关 键 词： | 非保守系统 拟变分原理 拟驻值条件 流固耦合 |
| 文章编号： | 1006-7043（2007）10-1095-05 |
| 修稿时间： | 2007-04-19 |
Principle and application of generalized quasi-complementary energy to elastic structures of non-conservative systems |
| |
| LIANG Li-fu,LIU Zong-min,GUO Qing-yong.Principle and application of generalized quasi-complementary energy to elastic structures of non-conservative systems[J].Journal of Harbin Engineering University,2007,28(10):1095-1099. |
| |
| Authors: | LIANG Li-fu LIU Zong-min GUO Qing-yong |
| |
| Affiliation: | College of Civil Engineering, Harbin Engineering University, Harbin 150001, China |
| |
| Abstract: | The generalized quasi-variational principle for nonconservative 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 quasi-complementary energy principle provides a theoretical basis for finite-element calculation in non-conservative systems. |
| |
| Keywords: | non-conservative systems quasi-variational principles quasi-stationary condition liquid-solid coupling |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
