Dynamic behavior is a key factor for preventing fatigue failures of a structure or system. With fundamental specimens of simple cantilevered structures, the basic calculation methodology using equivalent factors of vibration mode was proposed and verified. With a rigid installation under bolt fastening, the vibration transmissibility of a coupled catalyst muffler system connecting in parallel was examined through a shaker system. The resonance peaks of the first, second translational modes, and the rotation mode of two units were identified in three excitations. A lumped-parameter model was built using the six-element and two mass points for modeling the muffler system. The dynamic parameters were analyzed, and their coupled vibration transmissibilities were calculated with the equivalent factors of mode. The calculated curves were in excellent agreement with the experimental curves, and the characteristic parameters were identified. When the spring and damping coefficients of the connecting pipe in the specimen were changed, the resonance frequencies and transmissibilities changed accordingly by calculation. This approach is appropriate to be used as a prediction method for vibration control and optimization including interactions and damping in a system with complicated components in engineering applications.

动态行为是防止结构或系统疲劳失效的关键因素。以简单悬臂结构的基本试件为基础，提出并验证了使用振动模态等效因子的基本计算方法。通过螺栓紧固下的刚性安装，通过振动器系统检查并联连接的催化剂消声器系统的振动传递率。在三个激发中确定了第一、第二平移模式和两个单元的旋转模式的共振峰。使用六元素和两个质点建立了一个集总参数模型，用于对消声器系统进行建模。分析了动力参数，并利用模态等效因子计算了其耦合振动传递率。计算曲线与实验曲线非常吻合，并确定了特征参数。当试件中连接管的弹簧系数和阻尼系数发生变化时，经计算，共振频率和传输率也发生了相应的变化。这种方法适合作为工程应用中具有复杂组件的系统中包括相互作用和阻尼在内的振动控制和优化的预测方法。