• CN:11-2187/TH
  • ISSN:0577-6686

›› 2005, Vol. 41 ›› Issue (4): 38-43.

• 论文 • 上一篇    下一篇

复杂机械系统多维耦合振动传递矩阵分析

孙玲玲;宋孔杰   

  1. 山东大学机械工程学院
  • 发布日期:2005-04-15

TRANSMISSION MATRIX METHOD FOR MULTI-DIMENSIONAL VIBRATION ANALYSIS OF COMPLEX MECHANICAL SYSTEMS

Sun Lingling;Song Kongjie   

  1. School of Mechanical Engineering,Shandong University
  • Published:2005-04-15

摘要: 以特性传递矩阵描述复杂机械系统中子结构输入、输出力与速度矢量关系,提出了复杂振源激励、多弹性支承与基础板结构三维耦合隔振系统传递矩阵力学模型。考虑隔振支承多维波动效应,推证了弹性支承耦合振动传递矩阵,为复杂系统功率流特性及隔振器多维驻波效应研究确立了有效途经。数值模拟计算表明,基础板结构的前两阶弯曲共振模态是高频域系统功率流提高的主要原因。振源力矩或垂向激振力诱发的隔振器纵向谐振使系统功率流明显提高;增大基础板厚度,驻波共振峰值提高。

关键词: 传递矩阵, 隔振, 功率流, 驻波

Abstract: A general transmission matrix method for multiple degrees-of-freedom vibration analysis of isolation system with multiple elastic mounts is developed, in which the distributed and flexible nature of the mounts and the structural interactions due to multiple mounting system are taken into consideration. A set of matrix formulations relating the kinematic and dynamitic parameters of input and output terminals of isolator system are derived, which made the synthesis of complex system easier and made the investigation of multi-dimensional wave effects in the mount on power flow spectrum possible. It is found that the first two resonant flexural modes of foundation plate have notable effects on the power input to the system and transmitted to the foundation at higher frequencies. In particular, the power transmission excited by the moment induces more flexural waves power in the supporting structure than that excited by the axial force. It is also found that the standing longitudinal waves of the mount induced by the moment and/or axial force excitation have obvious effects on the power transmission, and the increase of the thickness of foundation plate produces an increase in the peak values of resonance.

Key words: Power flow, Standing waves, Transmission matrix, Vibration isolation

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