包含终值条件为驻值条件的哈氏型弹性动力学变分原理

Variational Principles for Hamilton Type Elastodynamics with Ending Conditions Containing in the Stationary Conditions

对于弹性动力学的终值问题,给出了包含终值条件为驻值条件的Hamilton型弹性动力学变分原理,其中有位能作用量变分原理、余能作用量变分原理,广义位能作用量变分原理及广义余能作用量变分原理。通过一个简例说明了所给原理的应用。

In this paper, several Hamilton type variational principles for elastody namies containing the end-value problems have been deduced, in which the stationary conditions contain the ending conditions. These variational principies are: the variational principle of action of the potential energy; the variational principle of the action of the complementary energy; the principle of action of the generalized potential energy and the principle of action of the generalized complementary energy. A simple example is given to demonstrate the application of these variational principles.