Finite element analysis of elastic beams subjected to moving dynamic loads

Y. H. Lin, M. W. Trethewey

Research output: Contribution to journalArticle

195 Citations (Scopus)

Abstract

A method for the dynamic analysis of elastic beams subjected to dynamic loads induced by the arbitrary movement of a spring-mass-damper system is presented. The governing equations for the interaction between the beam and the moving dynamic system are derived, based on a finite element formulation. This set of equations is a system of second order differential equations with time dependent coefficients. The governing equations are solved with a Runge-Kutta integration scheme to obtain the dynamic response for both the support beam and the moving system. The method is capable of handling any time dependent dynamic system motion profile with complex boundary conditions in a computationally efficient fashion. Comparison of results with several simplified test conditions previously reported shows excellent agreement. The analysis is applied to a high-speed machining operation to demonstrate the unique capabilities and characteristics of the method.

Original languageEnglish (US)
Pages (from-to)323-342
Number of pages20
JournalJournal of Sound and Vibration
Volume136
Issue number2
DOIs
StatePublished - Jan 22 1990

Fingerprint

dynamic loads
Dynamic loads
Dynamical systems
Finite element method
beams (supports)
Dynamic analysis
Dynamic response
Machining
Differential equations
dampers
Boundary conditions
dynamic response
machining
differential equations
high speed
boundary conditions
formulations
coefficients
profiles
interactions

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Acoustics and Ultrasonics
  • Mechanical Engineering

Cite this

@article{30740da24fc241048c219a71c13b82b0,
title = "Finite element analysis of elastic beams subjected to moving dynamic loads",
abstract = "A method for the dynamic analysis of elastic beams subjected to dynamic loads induced by the arbitrary movement of a spring-mass-damper system is presented. The governing equations for the interaction between the beam and the moving dynamic system are derived, based on a finite element formulation. This set of equations is a system of second order differential equations with time dependent coefficients. The governing equations are solved with a Runge-Kutta integration scheme to obtain the dynamic response for both the support beam and the moving system. The method is capable of handling any time dependent dynamic system motion profile with complex boundary conditions in a computationally efficient fashion. Comparison of results with several simplified test conditions previously reported shows excellent agreement. The analysis is applied to a high-speed machining operation to demonstrate the unique capabilities and characteristics of the method.",
author = "Lin, {Y. H.} and Trethewey, {M. W.}",
year = "1990",
month = "1",
day = "22",
doi = "10.1016/0022-460X(90)90860-3",
language = "English (US)",
volume = "136",
pages = "323--342",
journal = "Journal of Sound and Vibration",
issn = "0022-460X",
publisher = "Academic Press Inc.",
number = "2",

}

Finite element analysis of elastic beams subjected to moving dynamic loads. / Lin, Y. H.; Trethewey, M. W.

In: Journal of Sound and Vibration, Vol. 136, No. 2, 22.01.1990, p. 323-342.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Finite element analysis of elastic beams subjected to moving dynamic loads

AU - Lin, Y. H.

AU - Trethewey, M. W.

PY - 1990/1/22

Y1 - 1990/1/22

N2 - A method for the dynamic analysis of elastic beams subjected to dynamic loads induced by the arbitrary movement of a spring-mass-damper system is presented. The governing equations for the interaction between the beam and the moving dynamic system are derived, based on a finite element formulation. This set of equations is a system of second order differential equations with time dependent coefficients. The governing equations are solved with a Runge-Kutta integration scheme to obtain the dynamic response for both the support beam and the moving system. The method is capable of handling any time dependent dynamic system motion profile with complex boundary conditions in a computationally efficient fashion. Comparison of results with several simplified test conditions previously reported shows excellent agreement. The analysis is applied to a high-speed machining operation to demonstrate the unique capabilities and characteristics of the method.

AB - A method for the dynamic analysis of elastic beams subjected to dynamic loads induced by the arbitrary movement of a spring-mass-damper system is presented. The governing equations for the interaction between the beam and the moving dynamic system are derived, based on a finite element formulation. This set of equations is a system of second order differential equations with time dependent coefficients. The governing equations are solved with a Runge-Kutta integration scheme to obtain the dynamic response for both the support beam and the moving system. The method is capable of handling any time dependent dynamic system motion profile with complex boundary conditions in a computationally efficient fashion. Comparison of results with several simplified test conditions previously reported shows excellent agreement. The analysis is applied to a high-speed machining operation to demonstrate the unique capabilities and characteristics of the method.

UR - http://www.scopus.com/inward/record.url?scp=0025249445&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0025249445&partnerID=8YFLogxK

U2 - 10.1016/0022-460X(90)90860-3

DO - 10.1016/0022-460X(90)90860-3

M3 - Article

AN - SCOPUS:0025249445

VL - 136

SP - 323

EP - 342

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

SN - 0022-460X

IS - 2

ER -