Lectures related to Elastic energy

Potential Energy, Mechanical Energy, and Resonance

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

Work and Energy

Explores work, kinetic energy, forces, and energy conservation in mechanical systems.

Potential Energy: Basics and Applications

Covers the concept of potential energy and its applications in modeling dynamics.

Potential Energy; Mechanical Energy

Covers potential energy, mechanical energy, and conservative forces.

Mechanical Energy: Equilibrium and Oscillations

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

Work, Energy, and Momentum

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

Work, Potential Energy and Virtual Work

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

Conservation of Momentum and Kinetic Energy

Explores conservation of momentum and kinetic energy in collisions, emphasizing the importance of understanding collision outcomes.

Plates II: Föppl-von Kármán Equations

Covers the framework for plates, bending and stretching energies, and Föppl-von Kármán Equations, exploring mean and Gaussian curvatures.

Buckling of Plates: Post-Buckling Deformation Behavior Investigation

Investigates post-buckling deformation behavior, bending energy derivation, and in-plane stretching energy considerations in square plates.

Advanced Physics I: Conservative Forces

Explores conservative forces and energy conservation in mechanical systems.

Potential Energy, Mechanical Energy, and Resonance

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

Composite Effective Elastic Constants

Explores the determination of effective elastic constants for composites using real microstructures as examples.

Springs: Mechanical Properties

Explores the mechanical properties of springs, including stiffness and elastic energy.

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Static Balancing: Mechanisms Equilibration

Explores static balancing in mechanisms, emphasizing conservation of total potential energy and practical examples like the corkscrew and Anglepoise lamp.

Buckling of Plates: Mechanics of Slender Structures

Covers the derivation of critical force and post-buckling behavior of plates.

Hamiltonian Formulation and Equivalence with Euler-Lagrange

Explores Hamiltonian formulation and its equivalence with Euler-Lagrange equations, illustrated through examples.

Potential Energy and Conservation of Energy

Explores potential energy, energy conservation, power, force, and energy diagrams, emphasizing the conservation of mechanical energy and tension in a pendulum.

Elastic Equilibrium: Criteria of Rupture

Explores the Timoshenko method for buckling in beams and stress-strain relationships in linear elastic elements.