tailieunhanh - Lecture Introduction to the finite element method

Lecture Introduction to the finite element method has contents: Introduction, finite element equations for heat transfer, fem for solid mechanics problems, finite elements, discretization, assembly and solution. | I NTRODUCTION TO THE F INITE E LEMENT M ETHOD G. P. Nikishkov 2004 Lecture Notes. University of Aizu, Aizu-Wakamatsu 965-8580, Japan niki@ 2 Updated 2004-01-19 Contents 1 5 What is the finite element method . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 How the FEM works . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 Formulation of finite element equations . . . . . . . . . . . . . . . . . . . . . . . . . 6 Galerkin method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2 Introduction Variational formulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 11 Problem Statement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 Finite element discretization of heat transfer equations . . . . . . . . . . . . . . . . . 12 3 Finite Element Equations for Heat Transfer Different Type Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 15 Problem statement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 Finite element equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 4 FEM for Solid Mechanics Problems Assembly of the global equation system . . . . . . . . . . . . . . . . . . . . . . . . . 18 Finite Elements 21 Two-dimensional triangular element . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 Two-dimensional isoparametric elements . . . . . . . . . . . . . . . . . . . . . . . . 22 Shape functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 Strain-displacement matrix . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 Element properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 Integration in quadrilateral elements . . . . . . . . . . . . . . . . . . . . . . . 25 Calculation of

TỪ KHÓA LIÊN QUAN
crossorigin="anonymous">
Đã phát hiện trình chặn quảng cáo AdBlock
Trang web này phụ thuộc vào doanh thu từ số lần hiển thị quảng cáo để tồn tại. Vui lòng tắt trình chặn quảng cáo của bạn hoặc tạm dừng tính năng chặn quảng cáo cho trang web này.