多点刚性耦合产品包装运输系统间接逆向子结构分析

Indirect inverse sub-structure method for multi-point rigid coupling product packaging and transportation systems

在实际测量过程中,产品包装运输系统的耦合界面处通常空间结构复杂,导致该处的频率响应函数难以测得。针对该问题,提出基于多点刚性耦合产品包装运输系统的间接逆子结构方法,该方法无需测得系统耦合界面处的频响函数即可求得未知子系统(产品/关键部件)在耦合点处的频响函数。基于动力学微分方程和线性叠加原理建立系统与子结构的力与位移关系,再通过矩阵变换,分别得到了用于不同刚性耦合包装运输系统的间接逆子结构方法公式。建立集总参数模型,验证该算法的正确性。结果表明该方法在运输包装领域具有优秀的可行性和应用前景。

In actual measurement process,spatial structures at coupling interface of a product packaging and transportation system are commonly complex to cause FRF at interface is difficult to measure. Aiming at this problem,the indirect inverse sub-structure method based on multi-point rigid coupling product packing and transportation systems was proposed. This method did not need to measure FRF at system＇s coupling interface to directly obtain FRF of an unknown substructure（ product or key component） at coupling point. Firstly,based on dynamic equations and the principle of linear superposition,relations between forces and displacements of a system and its substructures were established. Then,through matrix transformation,formulas of the indirect inverse substructure method were deduced to be applied in different rigid coupling product packing and transportation systems. Finally,lumped parameter models were established to verify the correctness of the proposed method. The results showed that the indirect inverse sub-structure method is feasible and has good application prospects in fields of packaging and transportation.