Lectures related to Nonlinear Analysis of Structures

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.

Torsion of Axisymmetric Cross Sections

Covers the analysis of members under pure torsion and circular bars subjected to torsion, including shear stresses and angle of twist.

Deformation of Materials: Stresses, Deformations, and Elasticity

Explores the deformation of materials through stresses, deformations, and elasticity, focusing on the behavior of metals, ceramics, and polymers.

Torsion of Axisymmetric Cross Sections

Explores the torsion of axisymmetric cross sections, focusing on circular bars of linearly elastic materials and their efficiency in resisting torsional loads.

NEMS and MEMS: Micro- and Nanoelectromechanical Systems

Explores micro- and nanoelectromechanical systems, including practical applications, RF resonators, motion detection, and sensitive mass detection using carbon nanotubes.

Finite Element Development: Higher Order Log in to Mediaspace to watch this video

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

Finite Element Method: Weak Formulation and Galerkin Method Log in to Mediaspace to watch this video

Explores the weak formulation and Galerkin method in Finite Element Method applications, including boundary conditions and linear systems of equations.

Finite Element Development: Higher Order Basis Functions Log in to Mediaspace to watch this video

Explores higher-order basis functions in finite element development and precision of models.

Structural Mechanics Fundamentals Log in to Mediaspace to watch this video

Covers the basics of structural mechanics, including treating bars as springs, using the method of sections to analyze complex structures, and exploring stress concentration and the Sambhanans principle.

Linear Statics of Deformable Solids Log in to Mediaspace to watch this video

Introduces linear statics for linear elastic solids in small deformations, stress equilibrium, the Virtual Work Principle, and the Finite Element Method.

Structural Mechanics: Beam Bending and Boundary Conditions Log in to Mediaspace to watch this video

Explores the moment-curvature relation for beams, emphasizing stress distribution and typical boundary conditions.

Structural Analysis: Bar Elements Log in to Mediaspace to watch this video

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

Finite Element Method: Global vs Local Approach Log in to Mediaspace to watch this video

Compares the global and local approaches of the Finite Element Method.

Structural Analysis: Trusses Log in to Mediaspace to watch this video

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

Solid Mechanics Principles: Greens Functions Log in to Mediaspace to watch this video

Explores Greens functions in solid mechanics, emphasizing the solution of point forces and their impact on displacement fields.

Finite Element Analysis Log in to Mediaspace to watch this video

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

Elasticity: Hooke's Law Log in to Mediaspace to watch this video

Covers Hooke's Law in elasticity, discussing stiffness and compliance tensors.

Finite Element Method: Local Approach Log in to Mediaspace to watch this video

Explores the local approach in the finite element method, covering nodal shape functions and assembly.

Anisotropic Elastic Materials Log in to Mediaspace to watch this video

Covers anisotropic elastic materials, examples, and Voigt notation for stress and strain components, emphasizing the compliance matrix for isotropic materials.

Harmonic Oscillator and Hooke's Law Log in to Mediaspace to watch this video

Explores harmonic oscillators, Hooke's Law, and elasticity in relation to force and spring elongation.