| 具有频率和振型概率约束的工程结构动力优化设计 |
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| 引用本文： | 陈建军,车建文,等.具有频率和振型概率约束的工程结构动力优化设计[J].计算力学学报,2001,18(1):74-80. |
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| 作者姓名： | 陈建军 车建文 |
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| 作者单位： | 西安电子科技大学,电子机械学院,陕西,西安,710071 |
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| 基金项目： | 国防科技预研基金资助项目 |
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| 摘 要： | 对随机参数结构建立了具有频率、频率禁区和振型位置概率约束的结构动力优化设计数学模型；利用一次二阶矩法对概率约束进行了等价化处理，推导了频率、振型节点位置和可靠性指标对设计变量的灵敏度表达式；利用子空间迭代法和混合罚函数法求解，通过梁和板两个结构算例证明文中模型的合理性和求解方法的有效性。
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| 关 键 词： | 工程结构 动力特性 频率 振型 概率约束 动力灵敏度 优化设计 |
| 文章编号： | 1007-4708（2001）01-0074-07 |
| 修稿时间： | 1999年3月30日 |
Structural dynamic optimization with probability constraints of frequency and mode |
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| CHEN Jian\|jun,CHE Jian\|wen,CHEN Yong.Structural dynamic optimization with probability constraints of frequency and mode[J].Chinese Journal of Computational Mechanics,2001,18(1):74-80. |
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| Authors: | CHEN Jian\|jun CHE Jian\|wen CHEN Yong |
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| Abstract: | The problem of structural dynamic optimization based on probability is studied in this paper. Considering the randomness of structural physical parameters and the given constraint values, the dynamic optimization mathematical model of engineering structures with the probability constraints of frequency and forbidden frequency domain as well as the vibration mode is developed. The sensitivity of structural dynamic characteristics based on probability is derived. Two examples show that the optimization model and the method in this paper are rational and valid. |
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| Keywords: | engineering structures dynamic characteristics frequency and mode probability constraints optimization design |
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