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Semidefinite programming for dynamic steady-state analysis of structures under uncertain harmonic loads

机译:不确定谐波载荷下结构动态稳态分析的半定规划

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摘要

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.
机译:本文提出了一种半确定性的编程方法,用于计算受不确定驱动载荷作用的阻尼结构的动态稳态响应的机密范围。我们假设谐波驱动负载的振幅服从非概率不确定性模型。拟定了半定程序问题,以便为动态稳态响应的各种特征量找到机密边界,包括位移和应力的复振幅的模量和相角。数值示例表明,通过解决所提出的半定规划问题,可以获得足够严格的边界。

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