Nonlinear vibration of bimetallic circular thin plates under stationary thermal loads

摘要

The objective of this paper is to study the axisymmetrically nonlinear free vibration of bimetallic circular thin plates with initial deflections under uniformly distributed stationary temperatures loads. Based on von karman's theory and Hamilton's principle, the governing equations for double-layered plates are established in forms similar to those of classical single-layered plates theory by redetermination of reference surface of coordinate. The third-order approximate characteristic relation of frequency vs. amplitude is obtained from the perturbation-variational method with the aid of Computer Algebra Systems-Maple. The present method can easily be expanded to the analysis of nonlinear vibration problem for heated thin single and multi-layered plates.