A Survey on Buckling and Vibrations of a Viscoelastic Beam under Distributed Lateral and Axial Loads

Subject Areas : Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering

حمید رضا  ایپک چی ¹ (استادیار دانشکده مکانیک دانشگاه صنعتی شاهرود)
حمیده  صدیقی ² (دانشجوی کارشناسی ارشد دانشکده مکانیک دانشگاه صنعتی شاهرود.)

Received: 2015-09-29 Accepted : 2015-09-29 Published : 2010-12-22

Keywords: Viscoelastic beam vibration, Viscoelastic beam buckling, Eigenfunctions expansion method, Axial and lateral loadings,

Abstract :

In this paper, based on Kelvin and Linear Standard Solid models, dynamic response and the buckling load of a viscoelastic beam under lateral and axial loads have been determined. The governing equations have been extracted using Euler and Timoshenko theories and their analytical solutions have been obtained by using the eigenfunctions expansion method. Buckling load have been calculated by using the Euler and Timoshenko beam theories based on Kelvin and standard models. The results have been compared with the elastic case. The results show that the simulation of a viscoelastic beam with an elastic case, is not a reasonable approximation for moderately high damping. Also, the damping parameter has not been appeared explicitly in the buckling load determination, even though the buckling load of a viscoelastic beam is 50% more than an elastic beam.

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