结构频带激励下的整体动响应优化

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振动与冲击 ›› 2012, Vol. 31 ›› Issue (9) : 113-117.

论文

结构频带激励下的整体动响应优化

李翔, 王皓, 陈力奋

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Structural Frequency Response Optimization under Bandwidth Excitation

LI Xiang, WANG Hao, CHEN Li-fen

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摘要

结合频响函数的性质，采用目标频带内各模态峰值响应的 -范数作为整体响应水平的衡量指标，将等效目标函数的灵敏度表示为固有频率和振型灵敏度的函数，进而采用基于梯度的迭代方法求解，实现结构在宽频激励下的整体动响应优化，该方法适合于多频带的响应控制。此外，在频带响应优化模型的基础上，提出了通过增加频率约束，使之能应用于密集频率结构，避免迭代过程中的密频和重频现象。最后通过桁架截面优化和形状优化的数值算例，表明了本文提出方法的合理性和有效性。

Abstract

A structural dynamics response optimization under bandwidth frequency excitation is considered. A differentiable -norm form of response function’s peak value is introduced according to properties of frequency response function. This equivalent aim function can be used in multiple-bandwidth situation. Sensitivities of equivalent aim function then can be derived from structure’s eigen-sensitivity. Besides，frequency constraints were introduced for prohibiting clustered or repeated frequencies during optimization. Illustrated examples of truss sizing and shape optimization are presented for verification and application for proposed method.

导出引用

李翔; 王皓; 陈力奋. 结构频带激励下的整体动响应优化[J]. 振动与冲击, 2012, 31(9): 113-117

LI Xiang;WANG Hao;CHEN Li-fen. Structural Frequency Response Optimization under Bandwidth Excitation[J]. Journal of Vibration and Shock, 2012, 31(9): 113-117