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Nonlinear free vibration analysis of rotating composite Timoshenko beams featuring internal resonance is studied in this paper. Three nonlinear coupled equations of motion for flapping, shear and axial motions, are based on the assumptions of Timoshenko theory and the nonlinear von Karman strain–displacement relationships. Due to the small magnitude of low-order flapping/shear frequencies ratio, usually...
Geometrically nonlinear forced vibrations of thick, deep laminated circular cylindrical panels are studied via multi-modal energy approach based on Lagrange equations. It is assumed that the panel is subjected to a steady harmonic concentrated force acting in the radial direction. Simply supported movable boundary conditions are considered and the energy functional is reduced to a system of nonlinear...
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