Solving hybrid support boundary condition of an axially accelerating viscoelastic beam via Differential Quadrature scheme

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Journal of Vibration and Shock ›› 2012, Vol. 31 ›› Issue (5) : 87-91.

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Solving hybrid support boundary condition of an axially accelerating viscoelastic beam via Differential Quadrature scheme

Wang Bo 1; Chen Liqun 2,3

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Abstract

A methodology that to solve hybrid support boundary condition of nonlinear axially accelerating viscoelastic beam via Differential Quadrature scheme is presented. Differential Quadrature scheme is employed to solve numerically nonlinear governing differential equation of an axially accelerating viscoelastic beam under hybrid support. The procedure how hybrid support boundary condition is built to the Differential Quadrature weighting coefficients matrices themselves is explained. Steady-state response is investigated when the principal parameter resonance of axially accelerating viscoelastic beam occurs. Numerical and analytical solutions are compared in numerical examples.

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axially accelerating beam / viscoelasticity / hybrid support / differential quadrature scheme / principal parameter resonance

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Wang Bo;Chen Liqun;. Solving hybrid support boundary condition of an axially accelerating viscoelastic beam via Differential Quadrature scheme[J]. Journal of Vibration and Shock, 2012, 31(5): 87-91