基于瑞利法的多弹簧串联等效质量的确定  

Equivalent mass determination of multiple springs in series based on Rayleigh method

作　　者：李立建[1] 徐音[1] 

机构地区：[1]河南理工大学万方科技学院,河南郑州451400

出　　处：《周口师范学院学报》2016年第5期60-64,共5页Journal of Zhoukou Normal University

基　　金：河南省教育科学"十二五"规划2015年度(No.(2015)-JKGHYB-0681)

摘　　要：基于瑞利法求解质量-弹簧系统固有频率的分析思路与计算步骤.将工程实际问题中可简化为由质量块与多弹簧串联而成的质量-弹簧系统,通过采用瑞利法推导得到了其多个弹簧等效质量的解析计算公式.同时,以两弹簧串联等效质量的确定作为分析实例,对弹簧等效质量的理论计算公式进行了有效验证,并对两弹簧串联时两弹簧的等效质量与其自身质量两者的比值特性进行了分析研究.研究内容将为多弹簧串联其等效质量的确定奠定了理论基础,并且拓宽了瑞利法在工程实际中的应用范围.Based on the analysis thought and calculation steps of the Rayleigh method used for solving the natural frequency of mass-spring system,the simplifiable mass-spring system composed of single mass and multiple springs in series in the engineering practical problems,whose the analytical calculation formulas of multiple springs equivalent mass are derived by using the Rayleigh method in this paper.Meanwhile,the equivalent mass determination of two springs in series as an analysis example is used to verify the effectiveness of springs equivalent mass' s theoretical calculation formulas.the characteristics of ratio between spring equivalent mass and its own mass is also analyzed and studied at the time of the two springs in series.The research contents will be laid an theoretical foundation for the equivalent mass determination of multiple springs in series,and widens the application range of Rayleigh method in the engineering practice.

关 键 词：瑞利法 固有频率 多弹簧串联 质量-弹簧系统 等效质量 

分 类 号：O326[理学—一般力学与力学基础] TH113.1[理学—力学]