Lagrange Multiplier Method for the Prediction of Frequencies in Plates with Hinges

MARIA V.QUINTANA Y R. O. GROSSI

Rosario

Congreso; II Congreso de Matematica Aplicada Computacional e Industrial; 2009

Asociacion Argentina de Matemática Aplicada, Computacional e Industrial.

This paper deals with the free transverse vibration of rectangular plates with an internal line hinge. The Ritz method is employed in connection with the Lagrange multiplier method to treat the discontinuity of the slope at the hinge line. All of edges of the plate may take any combination of classical support conditions. Vibration frequencies and mode shapes are obtained for rectangular plates of different aspect ratios and edge support conditions. The influence of the internal line hinge on the vibration behaviour of rectangular plates is studied.