DQ-PEM for non-stationary random vibration analysis of beam structures under moving loads
Received:December 21, 2020  Revised:May 12, 2021
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DOI:10.7511/jslx20201221001
KeyWord:beam structures  moving loads  pseudo-response  non-stationary random vibration  DQ-PEM
        
AuthorInstitution
张琼 兰州理工大学 防震减灾研究所, 兰州
杜永峰 兰州理工大学 防震减灾研究所, 兰州 ;兰州理工大学 甘肃省减震隔震国际合作研究基地, 兰州
朱前坤 兰州理工大学 防震减灾研究所, 兰州 ;兰州理工大学 甘肃省减震隔震国际合作研究基地, 兰州
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Abstract:
      The DQ-PEM method for non-stationary random vibration of beam structures subjected to moving loads is proposed,which combines differential quadrature method and pseudo-excitation method.Generally,the vibration control equation of beam structures subjected to moving loads is a partial differential equation containing the Dirac function.First,the DQ-IQ hybrid method is used to transform the equation into ordinary differential equations that do contain the Dirac function.Simultaneously,the Dirac function representing the change of load position is also regarded as the non-stationary function of moving loads.Then,combined with the pseudo-excitation method,the pseudo-response of a beam structure subjected to a deterministic load can be obtained,and finally its non-stationary random response can be obtained.The accuracy and validity of the method are verified by engineering examples.The random vibration of beam structures subjected to moving loads at different velocities and boundary conditions is further discussed.