哈尔滨工程大学学报2017，Vol.38Issue(3)：452-459,8.DOI:10.11990/jheu.201606026
非保守系统的Lagrange方程
Lagrange equation of non-conservative systems
摘要
Abstract
How to apply the Lagrange equation to continuum dynamics has always been a theoretical subject in the academic field.How to apply the Lagrange equation to the problem of non-conservative continuum dynamics is even more difficult.The Lagrange equation of non-conservative systems is a quasi-stationary condition for the Hamihonian quasi-variational principle of non-conservative systems using the Lagrange-Hamilton system.In this paper,the Lagrange equation was successfully applied to non-conservative continuum dynamics.Then,the governing equations of non-conservative continuum dynamics were deduced by the Lagrange equation of non-conservative systems,which opens up a new effective way of studying non-conservative continuum dynamics.关键词
连续介质动力学/Lagrange方程/非保守系统/拟变分原理/拟驻值条件/Lagrange-Hamihon体系Key words
continuum dynamics/Lagrange equation/non-conservative system/quasi-variational principle/quasi-stationary condition/Lagrange-Hamilton system分类
数理科学引用本文复制引用
周平,梁立孚..非保守系统的Lagrange方程[J].哈尔滨工程大学学报,2017,38(3):452-459,8.基金项目
国家自然科学基金项目(10272034). （10272034）
