Kalman filter charge simulation methods for the solution of inverse problems of two-or three-dimensional elasticity.

Abstract

A simple numerical technique for solving inverse problems of two-or three-dimensional elasticity has been developed. The charge simulation method was employed to model an elastostatic system. The Kalman filter was directly used for the parameter estimation algorithm. An identification procedure of Young's modulus and Poisson's ratio was demonstrated using such example problems as elastic deformation of a hole in an infinite plane and compressive deformation of an elastic solid cylinder. A further study of the inverse technique using the charge simulation method included a stochastic system of which Young's modulus was not determinastic but stochastic. Fuzzy Young's modulus was defined to identify such a stochastic parameter. The fuzzy parameters of fuzzy Young's modulus can be determined by the probabilistic linear regression. A measuring system for elastic parameters of plant materials was exampled as an application of this inverse technique developed for parameter estimation problems.