| 不确定凸模型近似算法的一种改进 |
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| 引用本文： | 邱志平,顾元宪.不确定凸模型近似算法的一种改进[J].力学学报,1997,29(4):476-480. |
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| 作者姓名： | 邱志平 顾元宪 |
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| 作者单位： | 北京航空航天大学航空科学与工程学院 |
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| 基金项目： | 博士后科学基金,国家杰出青年科学基金 |
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| 摘 要： | 将非概率凸模型理论与摄动理论相结合，通过有界不确定参数结构的特征值问题，对凸模型理论的一次近似算法作出一种改进．改进后的算法由于在计算中不用特征值导数，与Ｅｌｉｓｈａｋｏｆ的算法相比，不仅拓广了凸模型理论的应用范围，而且还可提高算法的计算效率．
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| 关 键 词： | 有界不确定参数 凸模型理论 摄动 结构振动 |
AN IMPROVEMENT OF THE APPROXIMATE SOLUTION TO CONVEX MODELS OF UNCERTAINTIES |
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| Zhiping Qiu,.AN IMPROVEMENT OF THE APPROXIMATE SOLUTION TO CONVEX MODELS OF UNCERTAINTIES[J].chinese journal of theoretical and applied mechanics,1997,29(4):476-480. |
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| Authors: | Zhiping Qiu |
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| Abstract: | In terms of the eigenvalue problem with uncertain parameters,by means of non probabilistic,convex modeling combined with perturbation theory, an improvement is made on the first order approximate solution inconvex models of uncertainties. Without calculating the derivative of eigenvalues, the improved method not only can widen application of convex modeling, but also can greatly increase the efficiency ofcomputations. |
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| Keywords: | uncertain but bounded parameters eigenvalues convex set theory perturbation first order approximetion |
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