Structural Analysis: Bar Elements

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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 Modeling

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

Virtual Work in Structural Mechanics

Explores virtual work in structural mechanics, emphasizing equilibrium states and the application of virtual displacements.

Structural Analysis: Trusses

Covers the analysis of trusses, defining node positions, connectivity matrices, and stiffness matrices.

Finite Element Method

Covers the Finite Element Method, discussing the derivation of the equation of motion and exploring mass and stiffness matrices.

Geometric Nonlinearity: Large Rotations in Structural Analysis

Delves into geometric nonlinearity in structural analysis, emphasizing the impact of large rotations on structural response.

Finite Element Modeling: Dynamics

Introduces the basics of finite element modeling for dynamics and discusses the Newmark method for time integration.

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.

Quasi-newton optimization

Covers gradient line search methods and optimization techniques with an emphasis on Wolfe conditions and positive definiteness.

3D Rotations and Quaternions

Covers 3D rotations, quaternions, and matrices of direction cosines, providing an elegant solution to the limitations of rotation matrices.