邓克利法求解基频的精度研究  

A studyon the basic frequency precision of Dunkerley method

作　　者：张翔 杨怡[1] 张红[1] ZHANG Xiang;YANG Yi;ZHANG Hong(School of Civil Engineering and Transportation,South China University of Technology ,Guangzhou 510640,China)

机构地区：[1]华南理工大学土木与交通学院,广州510640

出　　处：《中国工程机械学报》2018年第1期21-25,共5页Chinese Journal of Construction Machinery

基　　金：国家自然科学基金资助项目(11627802;51678249);华南理工大学教研教改资助项目(x2tj-Y1130010)

摘　　要：邓克利法是计算链式多自由度系统基频的一种近似方法,应用于机械振动的多个领域.对邓克利法在不同使用条件下的精度进行研究,建立集中质量梁模型和质量弹簧模型,在不同自由度和不同约束条件下,用邓克利法计算系统的基频,与解析法计算结果进行对比,讨论邓克利法精度的影响因素.对自由度与误差数据进行数值拟合,提出在较大自由度时邓克利法的修正方程.As acommon approximation method in basic frequency calculation of multiple-degree-freedom chain system,Dunkerley method is used in many vibration fields.This paper presents a study on the precision of the method in different conditions.After establishing a beam model with lumped mass and a mass-spring model with different freedoms and constraint conditions,the paper calculates the basic frequencies of the systems.The results are compared with the analytical solutions and the influence factors of Dunkerley method＇s precision are discussed.Lastly,a modified equation for Dunkerley method for lager-degree-freedom system is derived through numerical fitting.

关 键 词：邓克利法 基频 误差 自由度 约束条件 修正方程 

分 类 号：TH113.1[机械工程—机械设计及理论]