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Vibrational power-flow analysis of a MIMO system using the transmission matrix approach

机译：使用传输矩阵方法的MIMO系统振动功率流分析

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摘要

The transmission matrix approach is employed in this paper for the vibrational power-flow analysis of a multiple-input/multiple-output (MIMO) system. The substructures in each subsystem are modelled as a group of general MIMO transmission elements, which are described in terms of discrete or distributed properties. The global transmission matrix of the system is formed by assembling the transmission matrices together. Using the proposed approach, the output variables of any subsystem can be expressed in terms of the input state variables of that subsystem. Hence, the proposed approach is very systematic in analysing the dynamic behaviour of a complex system with a group of elements. In the numerical example, the power flow of a multi-mount system is modelled analytically. The transmission of vibratory power flow from the vibrating rigid body into a simply supported plate through elastic mounts is studied in detail. The effects on the power flows of various factors, such as the plate thickness, loading type, mounting locations, and mass and damping properties of the mounts, are addressed.
机译：本文采用传输矩阵方法对多输入/多输出（MIMO）系统的振动功率流进行分析。每个子系统中的子结构被建模为一组通用MIMO传输元素，这些元素按照离散或分布式属性进行描述。系统的全局传输矩阵是通过将传输矩阵组装在一起而形成的。使用所提出的方法，任何子系统的输出变量都可以用该子系统的输入状态变量来表示。因此，所提出的方法在分析具有一组元素的复杂系统的动态行为方面非常系统。在数值示例中，对多安装系统的功率流进行了解析建模。详细研究了振动功率从振动刚体通过弹性支座传递到简单支撑的板中的过程。解决了各种因素对功率流的影响，例如板的厚度，负载类型，安装位置以及安装座的质量和阻尼特性。

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