Forced vibration analysis of warping considered curved composite beams resting on viscoelastic foundation

Abstract

The forced vibration analysis of warping considered curved composite Timoshenko beams resting on viscoelastic foundation is investigated via the mixed finite element method. Rocking is considered both for Winkler and Pasternak viscoelastic foundations. Two nodded curved element has 12 degrees of freedom. Problems are solved in frequency domain via Laplace transform and modified Durbin’s algorithm is used for back transformation to time domain. Warping considered average torsional rigidities of the composite cross-sections are calculated numerically by ANSYS and verified by the literature. After the verification of the algorithms, as benchmark examples, curved composite beams on rocking considered viscoelastic Pasternak foundation are solved.

Keywords

• Curved composite beam,Forced vibration,Finite element method,Torsional rigidity,Viscoelastic foundation

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