| 线弹性动力学的各种变分原理 |
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| 引用本文： | 贺国京,陈大鹏.线弹性动力学的各种变分原理[J].西南交通大学学报,1994,29(5):460-467. |
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| 作者姓名： | 贺国京 陈大鹏 |
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| 作者单位： | 西南交通大学科学研究处 |
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| 基金项目： | 国家自然科学基金、博士点基金 |
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| 摘 要： | 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。
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| 关 键 词： | 变分原理 线弹性动力学 乘子 |
Variational Principles for Linear Elastodynamics |
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| He Guo Jing,Chen Dapeng.Variational Principles for Linear Elastodynamics[J].Journal of Southwest Jiaotong University,1994,29(5):460-467. |
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| Authors: | He Guo Jing Chen Dapeng |
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| Abstract: | 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. |
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| Keywords: | variational principles linear elastodynamics convolution lagrangianmultiplier |
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