Abstract:

A 3D dynamics model of inclined isolation system is established. This system includes multi-source excitation, inclined elastic supports and beams on flexible foundation, and the coupling effect among them is considered. The admittances of longitudinal vibration and flexural vibration of the isolator are provided. Considering the effect of multi-dimension wave propagation, the dynamic transmission matrixes and power flow of the system are formulated. Results of numerical simulation show that the standing waves of the isolator due to the high frequency resonance are the main reason of slowing down the tendency of power flow decrease. And in medium-high frequency domain, the power flow through the vibration source and foundation decreases with the increasing of the inclination of the supports.

Key words: vibration and wave, inclined isolation, standing waves, power flow, admittance

摘要：

针对工程中常见的斜置隔振装置，建立了复杂振源激励、弹性斜置支承与基础梁结构三维耦合隔振系统动力学模型，给出了隔振器纵向振动和弯曲振动导纳。考虑隔振支承多维波动效应，推导了耦合系统动态特性传递矩阵及功率流表达式。数值模拟计算表明，隔振器高频共振形成驻波是系统功率流下降趋势变缓的主要原因。在中高频域，输人基础的功率流随倾斜角增大而降低。

关键词: 振动与波, 斜置隔振, 驻波, 功率流, 导纳