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所在平台: Udemy |
课程主页: https://www.udemy.com/course/the-finite-element-method-for-linear-structural-analysis/
课程评论：没有评论
**有限元方法结构分析课程总结** 本课程“有限元方法结构分析 (FEM/FEA)”旨在帮助学员从理论到实践精通有限元分析 (FEA) 在结构工程中的应用。课程共包含12个模块，内容丰富且注重实践，通过工作坊形式（使用FEA软件进行练习）巩固所学知识。无论您是初学者还是经验丰富的专业人士，都能从中获益。 **课程内容概述：** * **模块一：有限元分析导论** * 基础概念及FEM的重要性。 * 工作坊01：构建第一个有限元模型（自行车曲柄）。 * **模块二：线性弹性弹簧单元** * 弹簧理论，系统在全局坐标系下的组装。 * 练习与工作坊02：线性弹簧单元。 * **模块三：弹性杆单元** * 杆理论，应变能，卡斯蒂利亚诺第一定理，最小势能原理。 * 练习与工作坊03：线性杆单元。 * **模块四：桁架结构** * 节点平衡方程，单元变换，全局刚度矩阵的直接组装。 * 边界条件，约束力，单元应变与应力。 * 综合实例，三维桁架。 * 工作坊04：二维桁架结构。 * **模块五：梁单元** * 基本梁理论，梁单元刚度矩阵，单元荷载向量。 * 分布荷载的功等效性，包含轴向荷载的弯曲单元。 * 广义三维梁单元。 * 工作坊05：梁单元。 * **模块六：弹性力学方程** * 应变-位移关系，应力-应变关系，平衡方程。 * 总结。 * **模块七：线性代数方程的矩阵数学与求解技术** * 矩阵数学。 * 线性代数方程的求解技术。 * **模块八：平面应力** * 平面应力下的弹性力学方程。 * 有限元公式：等应变三角形，刚度矩阵评估，分布荷载，体力。 * 工作坊06：带中心圆孔的矩形板。 * **模块九：平面应变** * 平面应变下的弹性力学方程。 * 有限元公式：四节点矩形单元，数值积分（高斯积分）。 * 工作坊07：C型夹具。 * **模块十：等参单元** * 四节点四边形单元，练习，雅可比矩阵的奇异性。 * **模块十一：广义三维应力单元** * 简介，弹性力学方程，有限元公式。 * 实例：四节点四面体单元，应力与应变计算。 * 工作坊08：连接耳。 * **模块十二：板壳单元** * 板单元理论，板单元公式，壳单元理论。 * 工作坊10：薄折叠板。 本课程提供专家指导，传授最佳实践，并通过实际操作使学员能够自信地应对现实世界中的结构分析挑战。这是提升您作为FEA从业者熟练度并增进结构工程职业生涯的绝佳机会。立即加入，开启掌握FEA的旅程！
Unlock the power of Finite Element Analysis (FEA) in structural engineering with our comprehensive course, designed to take you from theory to practical proficiency. Over 12 engaging modules, you'll delve deep into the intricacies of FEA and reinforce your knowledge through hands-on workshops (exercises on FEA software). Whether you're a novice looking to start your journey or a seasoned professional seeking to refine your skills, this course has something valuable to offer at every level.Module 1: Introduction to Finite Element Analysis- Fundamental Concepts- Why is FEM so important?- Workshop 01: Building Your First Finite Element Model: Bike CrankModule 2: Linear Elastic Spring Element- Spring theory- System Assembly in Global Coordinates- Exercises- Workshop 02: Linear Spring ElementModule 3: Elastic Bar Element- Bar theory- Exercise- Strain Energy- Castigliano's First Theorem- Minimum Potential Energy- Workshop 03: Linear Bar ElementModule 4: Truss Structures- Nodal Equilibrium Equations- Element Transformation- Direct Assembly of Global Stiffness Matrix- Boundary Conditions, Constraint Forces- Element Strain and Stress- Comprehensive Example- Three dimensional Trusses- Workshop 04: 2D Truss StructureModule 5: Beam Element- Elementary Beam Theory- Beam Element- Beam Element Stiffness Matrix- Element Load Vector- Work Equivalence for Distributed Loads- Flexure Element with Axial Loading- A General Three-Dimensional Beam Element- Workshop 05: Beam ElementModule 6: Equations of Elasticity- Strain-Displacement Relations- Stress-Strain Relations- Equilibrium Equations- SummaryModule 7: Matrix Mathematics and Solution Techniques for Linear Algebraic Equations- Matrix Mathematics- Solution Techniques for Linear Algebraic EquationsModule 8: Plane Stress- Equations of Elasticity for Plane Stress- Finite Element Formulation: Constant Strain Triangle- Stiffness Matrix Evaluation- Distributed Loads- Body Forces- Workshop 06: Rectangular Plate with Central Circular HoleModule 9: Plane Strain- Equations of Elasticity for Plane Strain- Finite Element Formulation: Four-node Rectangle- Numerical Integration: Gaussian Quadrature- Workshop 07: C-ClampModule 10: Isoparametric Formulation- Four-node quadrilateral element- Exercise- Singularity of the Jacobian MatrixModule 11: General Three-Dimensional Stress Elements- Introduction- Equations of Elasticity- Finite Element Formulation- Example: 4-node Tetrahedral- Stress and Strain Computation- Workshop 08: Connecting LugModule 12: Shell Elements- Plate Element Theory- Plate Element Formulation- Shell Element Theory- Workshop 10: Thin Folded PlateThroughout this course, you'll receive expert guidance, learn best practices, and gain practical experience to tackle real-world structural analysis challenges confidently. Don't miss this opportunity to become a proficient Finite Element Analysis practitioner and enhance your career in structural engineering. Join us today and embark on a journey toward mastering FEA.
