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所在平台: Udemy |
课程主页: https://www.udemy.com/course/basics-of-fea-ii/
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**课程名称：有限元分析基础（下）** **课程概述：** 本课程是有限元分析系列讲座的第二部分，涵盖了直接应用单元矩阵方程（E.M.E.）、二维有限元公式以及瞬态动力学问题。通过解决各种数值问题来讲解概念及其应用，这些内容对于ANSYS手动计算和理解其解决方案至关重要。课程要求具备基础数学知识。 **课程内容：** 1. **单元矩阵方程（E.M.E.）的直接应用：** * 阶梯梁分析 * 锥形梁分析 * 带热效应的阶梯梁 * 带扭转效应的阶梯梁 * 传热分析 * 流体流动和流体网络分析 * 弹簧分析 * 梁分析 * 桁架分析 2. **二维有限元公式：** * 常应变三角形（CST）的推导与数值应用 * CST单元的应力分析 * 形函数基础 * 四节点矩形单元的形函数 * 矩形坐标到自然坐标的变换 * 四节点、八节点和九节点单元的形函数 * h-p网格划分、带宽和边形要素的概念 3. **瞬态动力学问题：** * 模态振动分析（轴向和横向振动） * 集中质量矩阵和一致质量矩阵的应用
This course is the second part of the lecture series of Finite Element Analysis subject. It takes you through various topics like Direct Applications of Element Matrix Equation(E.M.E.), 2D Finite Element Formulations and Transient Dynamics Problems. Various numerical are solved to explain different concepts and their applications. These topics help while solving of questions in ANSYS by manual calculation method and also help in understanding of ANSYS solutions. Basic Mathematics is the requirement for understanding of this subject.We start with introduction to Direct application of Element Matrix Equation(E.M.E.), followed by numerical on various topics of Stepped bar Analysis, Tapered bar analysis, Stepped Bar with thermal effect, Stepped bar with torsion effect, Heat Transfer Analysis, Fluid Flow and Fluid Network analysis, Spring Analysis, Beam Analysis and Truss Analysis. Further, we move to the 2D Finite Element Formulations topic. Here we discuss various derivations and numerical on Constant Strain Triangle (CST) , Stress analysis on CST element, Shape function basics, Shape function for Rectangular element with four nodes at vertices, Rectangular to Natural Coordinate system transformation for shape function calculation, Shape function for four, eight and nine nodded element. Also concepts of h and p type meshing, bandwidth and serendipity element is explained.Lastly we study about transient dynamic problems. Here modal vibration analysis is explained for axial and transverse vibration considering lumped and consistent mass matrix.
