振动特性参数对单自由度系统振动响应的影响  

Influence of Vibration Characteristic Parameters on Vibration Response of Single Degree of Freedom System

作　　者：张衬英 杨小俊[1] 葛东坡 ZHANG Chen-ying;YANG Xiao-jun;GE Dong-po(Hubei University of Technology,Wuhan 430068,China)

机构地区：[1]湖北工业大学,武汉430068

出　　处：《包装工程》2020年第19期75-81,共7页Packaging Engineering

基　　金：湖北省技术创新专项(重大项目)(2018AAA026)。

摘　　要：目的为研究弹簧刚度、阻尼比和振动偏心距离不同振动特性参数对单自由度线性系统振动响应幅值的影响。方法首先采用单因素实验,研究弹簧刚度、阻尼比和振动偏心距离对单自由度线性系统振动响应幅值的影响;在此基础上,通过采用Design Expert 11.0软件的响应面法实验(三因素三水平实验)研究不同振动特性参数交互作用对振动响应幅值的影响,建立振动响应幅值的二次多项式回归数学模型,并对减振幅值进行优化。结果通过实验分析得到,各因素对振动响应幅值的影响强弱顺序,阻尼比>弹簧刚度>振动偏心距离;建立了检测点的响应方程,检测点的回归方程决定系数为0.981;得到多目标参数优化结果,弹簧刚度为2.009 N/mm,阻尼比为0.1,振动偏心距离为12.38 mm。结论实验结果与预测值接近,说明此响应面法得到的数学回归模型具有一定的可靠性,该研究可为缓冲包装参数设计提供参考。The work aims to study the influence of spring stiffness,damping ratio,eccentric distance of vibration and other different vibration characteristic parameters on vibration response amplitude of single degree of freedom linear system.Firstly,the influence of spring stiffness,damping ratio and eccentric distance of vibration on the vibration response amplitude of single degree of freedom linear system was studied by single factor test.On this basis,the response surface methodology test(three factors and three levels test)of Design Expert 11.0 software was used to investigate the influence of interaction of different vibration characteristic parameters on vibration response amplitude,establish the quadratic polynomial regression mathematical model of vibration response amplitude and optimize the vibration reduction amplitude.From the test analysis,the order of the influence of each factor on the vibration response amplitude was as follows:damping ratio>spring stiffness>eccentric distance of vibration and the response equation of the detection point was established.The determination coefficient of the regression equation of the detection point was 0.9810,and the multi-objective parameter optimization results were:spring stiffness of 2.00954 N/mm,damping ratio of 0.1 and eccentric distance of vibration of 12.3797 mm.Therefore,it is concluded that the experimental results are close to the predicted values,which shows that the mathematical regression model obtained by the response surface methodology test has certain reliability.This study can provide a reference for the design of cushioning packaging parameters.

关 键 词：振动响应幅值 Design Expert11.0 响应面法 参数优化 

分 类 号：TB485.1[一般工业技术—包装工程]