Stiffness matrix

Formal sciences
Mathematics
Discrete mathematics
Discrete exterior calculus

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Finite Element Analysis: Basics

Covers the basics of finite element analysis, including element stiffness and reaction forces.

Finite Element Modeling

Covers the derivation of the equation of motion, interpolation, Newton's equation, and energy conservation in finite element modeling.

Finite Element Analysis: Advanced Mechanisms in Engineering

Provides an overview of advanced mechanisms analysis using Finite Element Method and Finite Element Analysis in engineering applications.

Structural Analysis: Bar Elements

Covers stiffness matrices, system assembly, constraints, reactions, and displacements in structural analysis.

Finite Element Method: Local Approach

Explores the local approach of the finite element method, covering elementary matrices, assembly operations, stiffness matrix, system of equations, and practical examples.

Finite Element Method: Higher Order Models

Explores precision of higher order finite element models and applications of quadratic finite elements in elastodynamics.

Finite Element Method Basics

Covers the basics of the Finite Element Method (FEM) for linear and nonlinear partial differential equations.

Structural Analysis: Bar Elements and Connectivity Matrices

Covers the calculation of stiffness matrices for each bar element in the global reference frame and explores the influence of element numbering and node positions.

Finite Element Development: Higher Order

Explores higher-order finite elements, Lagrangian family, and digital integration for stiffness matrix evaluation.

Integration Techniques in Structural Analysis

Discusses numerical integration and minimizing unnecessary precision in structural analysis.