弹性体系动力学问题求解方程的新形式  

New formal solving equation of dynamics problems for elastic system

作　　者：张岚[1] 

机构地区：[1]湖南农业大学工学院

出　　处：《山西建筑》2009年第23期52-53,共2页Shanxi Architecture

摘　　要：将质点受力分为内力与外力,利用质点系的达朗贝尔原理,建立了相应的动力学普遍方程,对于弹性体系,内力虚功等于虚应变能,从而得到弹性体系的哈密顿原理,由此导出了弹性体系动力学问题求解方程的新形式,并赋予了拉格朗日函数新的含义。Both the division of particle load into internal force and external force and the D Alembert principle of particle system are adopted to draw a conclusion of dynamies generalized equation. With regard to elastic system, internal force virtual work is equal to virtual strain energy, the Hamilton principle of elastic system is given. Eventually, author as well result into the new formal solving equation concerned with dynamits problems of elastic system as endow a new implication of Lagrange function.

关 键 词：弹性体系 达朗贝尔原理 哈密顿原理 拉格朗日方程 

分 类 号：TU311[建筑科学—结构工程]