Non-Stationary Random Vibration of FE Structures Subjected to Moving Loads

An efficient and accurate FEM based method is proposed for studying non-stationary random vibration of structures subjected to moving loads. The loads are assumed to be a stationary process with constant mean value. The non-stationary power spectral densities (PSD) and the time dependent standard de...

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Main Authors: F. Lu, D. Kennedy, F.W. Williams, J.H. Lin
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.3233/SAV-2009-0469
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author F. Lu
D. Kennedy
F.W. Williams
J.H. Lin
author_facet F. Lu
D. Kennedy
F.W. Williams
J.H. Lin
author_sort F. Lu
collection DOAJ
description An efficient and accurate FEM based method is proposed for studying non-stationary random vibration of structures subjected to moving loads. The loads are assumed to be a stationary process with constant mean value. The non-stationary power spectral densities (PSD) and the time dependent standard deviations of dynamic response are derived by using the pseudo excitation method (PEM) to transform this random excitation problem into a deterministic harmonic excitation one. The precise integration method (PIM) is extended to solve the equation of motion of beams under moving harmonic loads by enhancing the very recent consistent decomposition procedure, in order to simulate the movement of the loads. Six numerical examples are given to show the very high efficiency and accuracy of the method and also to deduce some useful preliminary conclusions from investigation of the dynamic statistical characteristics of a simply supported beam and of a symmetrical three span beam with its centre span unequal to the outer ones.
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series Shock and Vibration
spelling doaj-art-c6a0ab9d12894ebda60461d30b6a8b462025-08-20T03:23:19ZengWileyShock and Vibration1070-96221875-92032009-01-0116329130510.3233/SAV-2009-0469Non-Stationary Random Vibration of FE Structures Subjected to Moving LoadsF. Lu0D. Kennedy1F.W. Williams2J.H. Lin3State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116023, ChinaCardiff School of Engineering, Cardiff University, Cardiff CF24 3AA, UKCardiff School of Engineering, Cardiff University, Cardiff CF24 3AA, UKState Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116023, ChinaAn efficient and accurate FEM based method is proposed for studying non-stationary random vibration of structures subjected to moving loads. The loads are assumed to be a stationary process with constant mean value. The non-stationary power spectral densities (PSD) and the time dependent standard deviations of dynamic response are derived by using the pseudo excitation method (PEM) to transform this random excitation problem into a deterministic harmonic excitation one. The precise integration method (PIM) is extended to solve the equation of motion of beams under moving harmonic loads by enhancing the very recent consistent decomposition procedure, in order to simulate the movement of the loads. Six numerical examples are given to show the very high efficiency and accuracy of the method and also to deduce some useful preliminary conclusions from investigation of the dynamic statistical characteristics of a simply supported beam and of a symmetrical three span beam with its centre span unequal to the outer ones.http://dx.doi.org/10.3233/SAV-2009-0469
spellingShingle F. Lu
D. Kennedy
F.W. Williams
J.H. Lin
Non-Stationary Random Vibration of FE Structures Subjected to Moving Loads
Shock and Vibration
title Non-Stationary Random Vibration of FE Structures Subjected to Moving Loads
title_full Non-Stationary Random Vibration of FE Structures Subjected to Moving Loads
title_fullStr Non-Stationary Random Vibration of FE Structures Subjected to Moving Loads
title_full_unstemmed Non-Stationary Random Vibration of FE Structures Subjected to Moving Loads
title_short Non-Stationary Random Vibration of FE Structures Subjected to Moving Loads
title_sort non stationary random vibration of fe structures subjected to moving loads
url http://dx.doi.org/10.3233/SAV-2009-0469
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