节点文献
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
【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。
【Abstract】 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 dynamics 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 dynamics 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;
【Key words】 elastic system; D Alembert principle; Hamilton principle; Lagrange equation;
【Key words】 elastic system; D Alembert principle; Hamilton principle; Lagrange equation;
- 【文献出处】 山西建筑 ,Shanxi Architecture , 编辑部邮箱 ,2009年23期
- 【分类号】TU311.3
- 【下载频次】78