Parameter Identification of Beam Using Image Processing (5th Report, Parameter Identification Using Orthogonal Functions)

Abstract

In this paper, we proposed new parameter identification technique using orthogonal functions to identify the density and the modulus of elasticity of each segment of the beam. Using orthogonal functions, we could consider the parameter distribution in idientification and identified the distribution of the density and the modulus of elasticity with a few parameters. We applied the Haar series for the cracked beam and the Fourier series and Legendre series for the uniform and the combined beam. We checked the applicability of our technique for the parameter identification by the simulation and found the considerable reduction of the calculation time and good regularization ability.