Semidefinite programming for dynamic steady-state analysis of structures under uncertain harmonic loads
Semidefinite programming for dynamic steady-state analysis of structures under uncertain harmonic loads
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DOI：
10.1016/j.cma.2009.06.005
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发表时间：
2009-09
影响因子：
7.2
通讯作者：
Y. Kanno;I. Takewaki
中科院分区：
文献类型：
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作者：
Y. Kanno;I. Takewaki
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This paper presents semidefinite programming approaches for computing confidential bounds for the dynamic steady-state responses of a damped structure subjected to uncertain driving loads. We assume that amplitudes of harmonic driving loads obey a non-probabilistic uncertainty model. The semidefinite programming problems are formulated for finding confidential bounds for various characteristic amounts of dynamic steady-state response, including the modulus and phase angle of the complex amplitude of the displacement and stress. Numerical examples demonstrate that sufficiently tight bounds can be obtained by solving the presented semidefinite programming problems.