Course

CIVIL-321: Numerical modelling of solids and structures

Lectures in this course (29)

Numerical Modeling of Solids and Structures

Covers the basics of numerical modeling of solids and structures.

Finite Element Method: Basics and Applications

Covers the basics of the Finite Element Method for solid and structural modeling.

Finite Element Modeling: Common Pitfalls

Explores common pitfalls in finite element modeling, covering modeling, mesh generation, matrix conditioning, and result interpretation.

Rigid Displacement

Covers the concept of rigid displacement and potential energy, emphasizing continuity between elements and the importance of conforming to the mesh.

Structural Analysis: Bar Elements

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

Finite Element Methods in Structural Mechanics

Covers the application of finite element methods in structural mechanics, focusing on theories related to beams, plates, and shells.

Stability of Newmark-B Method

Discusses the stability of the Newmark-B method and time integration with external forces.

Structural Analysis: Trusses

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

Integration Techniques in Structural Analysis

Discusses numerical integration and minimizing unnecessary precision in structural analysis.

Finite Element Analysis

Covers the fundamentals of finite element analysis and the concept of volume forces.

Finite Element Analysis

Covers the fundamentals of finite element analysis, including traction and interpolation functions.

Numerical Integration: Order and Convergence

Explores numerical integration order and convergence for accuracy in numerical methods.

Finite Element Method: Interpolation and Integration

Covers the formulation of isoparametric elements and integration techniques in the finite element method, with a focus on Gauss integration.

Principle of Minimum Energy

Discusses the principle of minimum energy and equilibrium solutions in potential energy.

Isoparametric Formulation of Quad4 Element

Covers the isoparametric formulation of the Quad4 planar element and stiffness matrix calculation.

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.

Structural Analysis: Trusses and Stiffness Matrix

Covers the analysis of trusses and stiffness matrix derivation in structural engineering.

Finite Element Analysis: Basics

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

Finite Element Method

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