Weighted Residual Method Fem. Share this video to your mechanical friends if you have found useful for you at least few percentage notes. This chapter explains the basic idea of the weighted residual method at first and then shows how to use it in the finite element method fem.
The chapter considers a bar under tension as a simple example to show how to establish fundamental equations of finite element method by weighted. This chapter explains the basic idea of the weighted residual method at first and then shows how to use it in the finite element method fem. We define the weighted residual for w i x to be.
The finite element method belongs to the family of weighted residual methods.
Abstract weighted residual methods wrms are conceptually different from the finite difference method in that a wrm assumes that the solution can be represented analytically. For the basic theory of the finite element see 1 and see 2 for its application for nonlinear mechanical problems. A short version of the basic steps can be described as below. Formulation of fem model.