| 接近亏损系统模态灵敏度分析的有效算法 |
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| 引用本文： | 赵世佳,徐涛,陈炜,谭丽辉. 接近亏损系统模态灵敏度分析的有效算法[J]. 吉林大学学报(工学版), 2013, 0(Z1): 497-499 |
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| 作者姓名： | 赵世佳 徐涛 陈炜 谭丽辉 |
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| 作者单位： | 吉林大学机械科学与工程学院;吉林大学汽车动态模拟国家重点实验室;吉林化工学院机电工程学院 |
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| 基金项目： | 国家自然科学基金项目(51205159);高等学校博士学科点专项科研基金项目(20090061110022);吉林大学研究生创新项目(20121097) |
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| 摘 要： | 为求解振动系统特征问题的灵敏度分析,建立了快速计算状态向量导数的方法。该方法利用广义模态理论,将接近亏损系统的灵敏度分析转化为亏损系统的灵敏度分析问题来处理,并且在组合近似方法的基础上,引入松弛因子保证了系数矩阵的非奇异性,从而提供了接近亏损系统灵敏度分析的理论和方法。数值算例证明了算法的有效性。
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| 关 键 词： | 工程力学 接近亏损系统 广义模态理论 灵敏度分析 移频松弛组合近似方法 |
Efficient approach for modal sensitivity analysis for near defective systems |
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| ZHAO Shi-jia,XU Tao,CHEN Wei,TAN Li-hui. Efficient approach for modal sensitivity analysis for near defective systems[J]. Journal of Jilin University:Eng and Technol Ed, 2013, 0(Z1): 497-499 |
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| Authors: | ZHAO Shi-jia XU Tao CHEN Wei TAN Li-hui |
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| Affiliation: | 1,3(1.College of Mechanical Science and Engineering,Jilin University,Changchun 130022,China;2.State Key Laboratory of Automotive Dynamic Simulation,Jilin University,Changchun 130022,China;3.Department of Mechatronics,Jilin Institute of Chemical Technology,Jilin 132022,China) |
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| Abstract: | For solving the sensitivity analysis of vibration systems,a rapid calculation of state vector sensitivity analysis derivatives was established.Based on the generalized modal theory,the sensitivity analysis of near defective systems could be transformed into one of the defective systems.A relaxation factor embedded in the combined approximations approach ensures the non-singularity of coefficient matrix.Moreover,the theory and method of near defective systems sensitivity analysis was given.The numerical example indicates the effectiveness of the algorithm. |
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| Keywords: | engineering mechanics near defective systems generalized mode theory sensitivity analysis shift-relaxation combined approximations method |
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