| 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].大连理工大学学报,1997,37(6):728-732. |
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| 作者姓名： | 邱志平 顾元宪 |
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| 作者单位： | 大连理工大学工程力学研究所 |
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| 基金项目： | 国家自然科学青年基金,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Ｅｌｉｓｈａｋｏｆｆ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： | 特征值 凸模型理论 结构振动 近似算法 |
An improvement on approximate solution to convex models of uncertainties |
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| Qiu Zhiping,Gu Yuanxian.An improvement on approximate solution to convex models of uncertainties[J].Journal of Dalian University of Technology,1997,37(6):728-732. |
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| Authors: | Qiu Zhiping Gu Yuanxian |
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| Abstract: | In terms of the eigenvalue problem with uncertain parameters, by means of nonprobabilistic, convex modeling combined with perturbation theory, an improvement is made on the first order approximate solution in convex models of uncertainties. Without calculating the derivatives of eigenvalues, the improved method not only can widen application of convex modeling, but also can greatly increase the efficiency of computations of the solution. |
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| Keywords: | eigenvalues perturbation/convex set theory the first order approximation uncertain bounded parameters |
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