线弹性动力学的各种变分原理

Variational Principles for Linear Elastodynamics

本文导出了线弹性动力学的广义虚功原理，在此基础上，引用拉氏乘子，系统地建立了一系列Ｇｕｒｔｉｎ型变分原理。本文方法较已有的方法更为简单、直接、统一，且力学意义明确，能清楚地阐明各种Ｇｕｒｔｉｎ型变分原理间的相互关系。

A general virtual work principle for linear elastodynamic problems ispresented. On such basis ,a series of Gurtin-type varitional principles areobtained via the intreduction of lagrangian multipliers. In comparison withexisting investigations,the present work is more simple, direct andsystematic.In specific,clear-cut physical reasoning is provided.The inter-connections among these principles are distinctly established.