Green's functions for forced vibration analysis of bending-torsion coupled Timoshenko beam

摘要: Abstract A method based on Green's functions is proposed for the analysis of steady-state dynamic response bending-torsion coupled Timoshenko beam subjected to distributed and/or concentrated loadings. Damping effects bending and torsional directions are taken into account in vibration equations. The elastic boundary conditions with coupling damping derived classical can be obtained by setting values specific stiffness parameters artificial springs. Laplace transform technology employed work out arbitrary conditions. subject external lateral force torque, respectively. Coupling between vibrations studied conveniently through these analytical functions. direct expressions responses various loadings using superposition principle. present reduced those Euler–Bernoulli shear rigidity rotational inertia. In order demonstrate validity proposed, results special cases given a comparison literature they agree each other exactly. influences loading frequency eccentricity investigated terms numerical both simply supported cantilever beams. Moreover, symmetric property amplitude discussed particularly.