Finite Element Analysis with Iterated Multiscale Analysis for Mechanical Parameters of Composite Materials with Multiscale Random Grains

Abstract

Based on the iterated statistically multiscale analysis (SMSA), we present the convergence of the equivalent mechanical parameters (effective moduli), obtain the error result, and prove the symmetric, positive and definite property of the equivalent mechanical parameters tensor computed by the finite element method. The numerical results show the proved results and illustrate that the SMSA-FE algorithm is a rational method for predicting the equivalent mechanical parameters of the composite material with multiscale random grains. In conclusion, we discuss the future work for the inhomogeneous composite material with multiscale random grains.

Research on Multidisciplinary Optimization Design of Bridge Crane

“…With the rapid development of finite element analysis (FEA) technique [2,3], the traditional design method is gradually replaced by finite element analysis and design. There is quite a lot of finite element analysis software such as ANSYS, ABAQUS, and HyperWorks [4,5]. However, purely from structural design, to reduce the weight of the crane has been very limited, and blindly to reduce the weight would be a security risk.…”