Significance of in-plane inertia forces in the vibration analysis of three-layered circular plates

Abstract In the paper the equations of vibratory motion for circular sandwich plates are derived. The plate under consideration is supposed to possess a soft core with special polar orthotropy. Free axisymmetric vibration modes of a circular plate clamped all around the outside radius are numerically analyzed. Computer investigations are carried out for a wide range of introduced parameters. The influence of the in-plane inertia forces upon dynamical characteristics of the plate is discussed. It is shown that according to the value of the ratio g M (= shear parameter/in-plane inertia parameter) the vibratory motion of the plate is characterized by different eigenfunctions. The results of computer studies are discussed and graphically presented.