动力学分区余能变分原理及其广义变分原理

The Piece-Wise Complementary Energy Variational Principle and Generalized Variational Principles in Elastic Dynamics

本文首先指出,在动力学余能变分原理中,只要给出满足起始和终了时刻速度的假定,则不再需要满足其他任何附加的约束条件,在此基础上,本文提出并论证了动力学分区余能变分原理,并利用拉格朗日乘子法得到了不完全和完全的动力学分区广义余能变分原理。

In this paper,the additional conditions of constraints are discussed and eliminated by using the hypothesis of speeds of the initial and the end stages known.On this basis the piece-wise comple- mentary energy variational principle in elastic dynamics is presented and proved.Then,by means of Langrage multiplier method,the corresponding complete and incomplete piece-wise generalized comple- mentary energy variational principles are all obtained.