Lectures related to Stability of Mechanical Systems

Structural Mechanics Principles: Equilibrium and Stability

Explores the principles of structural mechanics, including internal loads, equilibrium stability, and the superposition principle.

Virtual Work in Structural Mechanics

Explores virtual work in structural mechanics, stability criteria, reaction load calculations, and mechanical systems with springs.

Mechanical Energy: Equilibrium and Oscillations

Explores mechanical energy, equilibrium, and small oscillations in rectilinear motion.

Virtual Work I: Introduction to Structural Mechanics

Introduces work, potential energy, and virtual work in structural mechanics, emphasizing equilibrium conditions and their application to solve problems.

Work, Potential Energy and Virtual Work

Explores work, potential energy, and virtual work in statics and dynamics, emphasizing equilibrium states and stability.

Rigid Displacement

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

Virtual Work II: Conservative Forces and Equilibrium

Explores virtual work, conservative forces, equilibrium, and internal loads in structures.

Virtual Work II: Examples of Potentials

Covers examples of potentials in virtual work for structural mechanics.

Equilibrium States: Forces in Non-Rigid Systems

Discusses equilibrium states and forces in non-rigid systems using the principle of virtual work.

Principle of Minimum Energy

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

Potential Energy, Mechanical Energy, and Resonance

Explores potential energy, mechanical energy, and resonance in mechanical systems, including conservative forces and energy transformation.

Potential Energy, Mechanical Energy, and Resonance

Explores potential energy, mechanical energy, and resonance in mechanical systems, including equilibrium, stability, and energy transformation.

Deformable Bodies: Axial Loading and Stiffness

Explores axial loading, stress, strain, and equilibrium states in deformable bodies, emphasizing stability and equilibrium types.

Analyzing a Physics Problem: Exercise 2

Focuses on analyzing a complex physics problem involving a material point constrained to move in a plane.

Virtual Work in Structural Mechanics

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

Conceptual Quiz and Discussion

Covers conceptual questions on change of variables, functions, derivatives, integration, and potential energy.

Stable Equilibrium (Chariot)

Examines a system's stable equilibrium and verifies it experimentally.

Introduction to Structural Mechanics

Introduces structural mechanics concepts like distributed loads, centroids, and equilibrium in 2D and 3D.

Work, Energy, and Momentum

Explores work, energy, and momentum in physics, including potential energy diagrams and conservation principles applied to practical situations.

Structures and Mechanisms: Static (Rigid) Structures

Covers the analysis of static (rigid) structures, including equilibrium and free-body diagrams.