Dynamic Stability Analysis of Viscoelastic Beam under the Follower Forces

Abstract:

The unification differential equation of buckling and motion of viscoelastic beam subjected to the uniformly distributed follower forces in time domain was established by differential operators including extension viscosity, shearing viscosity and moment of inertia. According to the unification differential equation, dynamic stability of three-parameter model of viscoelastic beams subjected to follower forces with clamped-free supported boundary condition was firstly analyzed by power series. The relations of the follower force versus vibration frequency and decay coefficient were obtained, so was the effect of viscous coefficient on the critical load of beams.

• Periodical: Advanced Materials Research (Volume 413)
• Pages: 283-288
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.413.283
• Online since: December 2011
• Authors: Rui Hua Zhuo, Shu Wang Yan, Lei Yu Zhang
• Keywords: Critical Load, Follower Force, Power Series, Viscoelastic

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