哈尔滨工程大学学报Issue(4)：456-460,5.DOI:10.3969/j.issn.1006-7043.201401064
应用 Lagrange方程研究刚弹耦合动力学
Research on rigid-elastic coupling dynamics using Lagrange equation
摘要
Abstract
How to apply Lagrange equation in continuum mechanics is a hot theoretical topic in the academic field. The establishment and application of Lagrange equation is related to variational calculus.It is a suitable way to stud-y such questions by the basic theory of variational calculus.Applying the concept and algorithm of a variational de-rivative, the properties of derivation in Lagrange equation are studied.Further Lagrange equation is applied to elas-to-dynamics successfully.According to the work and energy principle and the energy conservation law, the kinetic and potential energies of rigid-elastic coupling dynamics are obtained.The governing equations of rigid-elastic cou-pling dynamics are established using Lagrange equation.This kind of research has important application in the aero-space, aviation, navigation and robot dynamics fields.关键词
Lagrange方程/变导/弹性动力学/刚弹耦合动力学Key words
Lagrange equation/variational derivative/elasto-dynamics/rigid-elastic coupling dynamics分类
数理科学引用本文复制引用
梁立孚,宋海燕,郭庆勇..应用 Lagrange方程研究刚弹耦合动力学[J].哈尔滨工程大学学报,2015,(4):456-460,5.基金项目
国家自然科学基金资助项目（10272034）；中央高校基本科研业务费专项资金资助项目（ HEUCF130205）． （）
