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Nonlinear Formulation for Flexible Multibody System Applied With Thermal Load

[+] Author Affiliations
Jinyang Liu, Hao Lu

Shanghai Jiao Tong University, Shanghai, China

Paper No. DETC2007-35917, pp. 1173-1181; 9 pages
  • ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C
  • Las Vegas, Nevada, USA, September 4–7, 2007
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 0-7918-4806-X | eISBN: 0-7918-3806-4
  • Copyright © 2007 by ASME


In this paper, temperature variation and dynamic performance of flexible multibody system applied with thermal load are investigated. Considering thermal strain and geometric nonlinear terms, heat conduction equations and dynamic equations for a flexible beam are derived, and then the system heat conduction equations and dynamic equations of flexible multibody system are assembled, and temperature, kinematic and driving constraint equations are used to obtain Lagrange’s equations of the first kind with Lagrange multipliers. Simulation of a rotating hub-beam system with simply-supported boundary condition is carried out to show the softening effect of the beam with temperature increase. Finally, thermal bending of flexible beam system applied with heat flux at upper surface is investigated. Coupling between rotational motion and transverse deformation as well as sudden change of constraint forces and axial stresses are shown to reveal the characteristics of thermal shock.

Copyright © 2007 by ASME



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