附加质量对自由边板振动影响研究  

Research on the influence of additional mass on the vibration of free edge plates

作　　者：李晨阳 刘默羽 刘浩铭 LI Chenyang;LIU Moyu;LIU Haoming(School of Mechanical and Power Engineering,Zhengzhou University,Zhengzhou 450001,China;Research Institute of Vibration Engineering,Zhengzhou University,Zhengzhou 450001,China)

机构地区：[1]郑州大学机械与动力工程学院,郑州450001 [2]郑州大学振动工程研究所,郑州450001

出　　处：《重庆理工大学学报（自然科学）》2024年第9期100-105,共6页Journal of Chongqing University of Technology：Natural Science

基　　金：河南省科技攻关项目(182102210016)。

摘　　要：放置在矩形板上的设备会改变矩形板振动特性,这类问题可抽象为有集中质量的矩形板模型。利用差分法求解有集中质量对边自由对边简支矩形板自由振动特性,并研究在简谐力作用下有集中质量板振动功率流传播特性。根据功率流的矢量图和流线图,分析不同质量分布对板内功率流传播特性的影响。通过频率波数谱分析,研究集中质量对振动波数的影响。结果表明:集中质量会改变振动功率流集中位置并形成涡漩,集中质量间隔减小可以起到降低矩形板振动响应幅值的效果。The equipment placed on the rectangular plate may change the vibration characteristics of the rectangular plate.The free vibration characteristics of a rectangular plate with concentrated mass opposite side free opposite side simply supported are solved by different methods.According to the vector and streamline diagrams of power flow,the influence of different mass distributions on the propagation characteristics of power flow in the plate is analyzed.The effect of the lumped mass on the vibration wavenumber is studied by frequency wavenumber spectrum analysis.Our results show the concentrated mass makes the vibration power flow concentrate and form vortex,and the reduction of the interval of the concentrated mass reduces the amplitude of the vibration response of the rectangular plate.

关 键 词：集中质量 矩形板 差分法 振动功率流 频率波数谱 

分 类 号：O328[理学—一般力学与力学基础] O325[理学—力学]