| 赵雷,$2.结构动力分析的随机变分原理及随机有限元法[J].计算力学学报,1998,15(3):263~274 |
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| 结构动力分析的随机变分原理及随机有限元法 |
| Dynamic analysis of the stochastic variational principle and stochastic finite element method for structures with random parameters |
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| DOI：10.7511/jslx19983042 |
| 中文关键词: 随机变分原理 随机场 随机有限元法 摄动技术 动力响应 |
| 英文关键词:stochastic variational principle,random field,stochastic finite element method,perturbation technique,dynamic response, |
| 基金项目:国家自然科学基金 |
| 赵雷 $2 |
| 西南交通大学建筑工程系 |
| 摘要点击次数: 1335 |
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| 中文摘要: |
| 将结构动力系统的参数及激励的随机性直接引入结构的动力泛函变分表达式中，基于瞬时最小势能原理，应用小参数摄动法，建立了随机结构动力分析的随机变分列式及相应的确机有限元法。算例表明，应用此法分析随机结构动力响应，具有程序实施简便，计算效率高的优点。 |
| 英文摘要: |
| This paper introduces stochastic structural parameters and random dynamic excitation directly into the dynamic functional variational formulations . and develops the dynamic anal- ysis of a unified stochastic variational principle and the corresponding stochastic finite ele- ment method via the instantaneous minimum potential energy principle and the small parame- ter perturbation technique. Numerical examples are examined to show that the approaches proposed herein have the advantages of the simple and convenient program implementation , and are accurate and effective for the dynamic analysis of structures with random parame- tcrs. |
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