Finite-element-model Updating Using Nelder–Mead Simplex and Newton Broyden–Fletcher–Goldfarb–Shanno Methods

Abstract

This chapter presents the Nelder--Mead simplex method and the Broyden--Fletcher--Goldfarb--Shanno (BFGS) method for finite-element-model updating. The methods presented have been tested on a simple beam and an unsymmetrical H-shaped structure. It was noted that, on average, the Nelder--Mead simplex method gives more accurate results than did the BFGS method. This is mainly because the BFGS method requires the calculation of gradients, which is prone to numerical errors within the context of finite-element-model updating.