结合相干分析和不同正则化方法的包装传递路径分析

Analysis of packaging transfer paths combining coherence analysis and different regularization methods

  • 摘要: 针对传统工况传递路径分析(OTPA)的路径遗漏、传递率矩阵计算不适定问题,本文基于偏相干分析的重相干函数与Tikhonov正则化-广义交叉验证(GCV)法对OTPA方法进行改进,应用于随机振动下复杂包装系统的振动传递路径分析。通过对包装系统进行基于偏相干分析的重相干函数分析,构建符合该包装系统相对简化的六输入单输出工况传递路径模型,有效剔除非主要传递路径;对比截断奇异值分解(TSVD)法和Tikhonov正则化方法及其参数选择在复杂包装系统振动传递率计算的适用性,结果表明Tikhonov正则化-GCV方法与实测数据的误差最小;通过与随机振动试验得出的关键元件振动信号对比,验证了改进的OTPA方法的准确性;使用改进的OTPA量化各传递路径的振动贡献量,识别出复杂产品包装系统的主要振动传递路径,为后续缓冲包装精准设计提供关键参考。

     

    Abstract: To address the issues of path omission and inappropriate calculation of transfer rate matrix in the traditional operational transfer path analysis (OTPA), this paper presents an enhancement to the OTPA method, incorporating partial coherence analysis of the multiple coherence function and the Tikhonov regularization-generalized cross validation (GCV) approach. This improved methodology is applied to t the vibration transfer path analysis of the complex packaging system under random vibration. By analysing the re-coherence function based on the partial coherence analysis of the packaging system, a relatively simplified six-input-single-output mode transfer path model is constructed for the packaging system, and the non-major transfer paths are effectively eliminated; The applicability of the truncated singular value decomposition (TSVD) and Tikhonov regularization methods, along with their respective parameter selections, for calculating the vibration transmittance of complex packaging systems is evaluated. The results demonstrate that the Tikhonov regularization-GCV method yields the smallest discrepancy with the measured data. The accuracy of the enhanced OTPA approach was validated through a comparative analysis of its output with the vibration signals of key components obtained from random vibration tests. The enhanced OTPA method quantifies the vibration contributions of individual transfer paths, enabling the identification of primary vibration transmission routes in complex product packaging systems. This provides a crucial reference point for the subsequent precise design of the cushioning packaging.

     

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