Jixie qiangdu (Jan 2018)
LAPLACE TRANSFORMATION SOLUTION OF ELECTRO-MAGNETO-THERMOELASTIC LAMINATED ORTHOGONAL HYPERBOLIC SHELL WITH FOUR SIMPLY SUPPORTED
Abstract
Based on Electromagnetic thermoelastic constitutive equations,its increased dimensions constitutive relationship on the basis of relevant literature was established,and the electromagnetic thermo-elastic material generic shell homogeneous state equations were derived. Then,by Laplace transform onthe homogeneous state equation,complex high-order terms form of the polynomial coefficient matrix can be got. Considering the convenience and efficiency to solve the problem of inverse transform,the article made a fractional separation process on complex high-order coefficient matrix after Laplace transform which had complex high-order polynomial terms. Finally,numerical examples show that the method is correctness,and the computational efficiencyis almost the same as the precise integration method.
