The Effects of Large Vibration Amplitudes on the Mode Shapes and Natural Frequencies of Thin Elastic Structures, Part II: Fully Clamped Rectangular Isotropic Plates

Abstract The dynamic behaviour of fully clamped rectangular plates at large vibration amplitudes is examined both theoretically and experimentally. The theoretical model, established and applied to beams in Part I, is extended to the fully clamped rectangular plate case, reducing the large amplitude free vibration problem to the solution of a set of non-linear algebraic equations. Numerical results are given, for various plate aspect ratios and vibration amplitudes, showing high increase of curvatures near to the clamps at large deflections. Experimental measurements are reported which are in good agreement with the theory.