复杂系统等效激励谱反演方法研究

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振动与冲击 ›› 2021, Vol. 40 ›› Issue (24) : 190-197.

论文

复杂系统等效激励谱反演方法研究

王帅1,2，王敏庆1,2，廖达雄3，雷雨1,2

作者信息 +

An equivalent excitation spectrum inversion method for complex systems

WANG Shuai1,2,WANG Minqing1,2,LIAO Daxiong3,LEI Yu1,2

Author information +

文章历史 +

摘要

复杂耦合系统受制于结构空间约束通常难以拾取受激部位振动响应，直接采信靠近振源布置的测点难以表征实际受激情况，以此作为振动噪声预报的输入条件需要解决等效激励谱反演的问题。为解决复杂耦合系统的统计能量分析预报难题，本文提出了一种等效激励谱反演的方法，利用偏相干分析改进子系统划分方法，获得结构振动能量传递导纳参数，构建等效激励谱反演的目标函数；进一步，利用遗传算法快速收敛的特性，建立了等效激励谱目标函数寻优计算模型，实现了对等效激励谱有效反演。以双层圆柱壳结构为例验证了所提出的等效激励谱反演方法的有效性和工程适用性。研究表明本文提出的方法可为激励谱反演提供新的技术手段。

Abstract

In the complex coupling system, it is difficult to measure the vibration response of the excitation position subject to the structural spatial constraints, while the response of the measuring points nearby cannot characterize the actual excitation. It is necessary to solve the problem of equivalent excitation spectrum inversion when taking the vibration response of the measuring points as excitation. A method for equivalent excitation spectrum inversion is proposed in this paper, supporting for the statistical energy analysis prediction in the complex coupling system. Based on the partial coherence analysis method, the partitioning method of subsystems was improved, the structural vibration energy transfer admittance parameters were obtained, and the objective function for equivalent excitation spectrum inversion was constructed. Based on the rapid convergence of genetic algorithm, the optimal calculation model of equivalent excitation spectrum inversion objective function was established, the effective inversion of the equivalent excitation spectrum of the complex system was realized. The validity and engineering applicability of the proposed equivalent excitation spectrum inversion method for complex systems were verified by an example of double-layer cylindrical shell structure. The method presented in this paper can provide a new technical means for excitation spectrum inversion.

导出引用

王帅1,2，王敏庆1,2，廖达雄3，雷雨1,2. 复杂系统等效激励谱反演方法研究[J]. 振动与冲击, 2021, 40(24): 190-197

WANG Shuai1,2,WANG Minqing1,2,LIAO Daxiong3,LEI Yu1,2. An equivalent excitation spectrum inversion method for complex systems[J]. Journal of Vibration and Shock, 2021, 40(24): 190-197

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