Plates, which geometric and physical parameters slightly differ from constant depend only on the radial coordinate, are analyzed. For free vibration frequencies of a plate, thickness and/or Young’s modulus coordinate asymptotic formulas obtained by means perturbation method. As examples, vibrations square plate with linearly or parabolically examined. The double plates similar edge support all ...

Energy harvesting is a conventional method to collect the dissipated energy of a system. In this paper, we investigate the optimal location of a piezoelectric element to harvest maximum power concerning different excitation frequencies of a vibrating cantilever beam. The cantilever beam oscillates by a concentrated sinusoidal tip force, and a piezoelectric patch is integrated on the beam to gen...

this study introduces the differential transform method (dtm) to analyse the free vibration response of a rotating, closed section, composite, timoshenko beam which features material coupling between flapwise bending and torsional vibrations due to ply orientation. the governing differential equations of motion are derived using hamilton’s principle and solved by applying dtm. the natural frequ...