Lectures related to Mechanics of Kirchhoff Rods I

Covers the mechanics of slender structures, focusing on exact kinematics and equilibrium equations of rods.

Explores the mechanics of slender structures, including Kirchhoff's equilibrium equations of rods and the theory of finite strain and finite rotation.

Mechanics of Slender Structures: Elasticity, Plates, Shells

Covers the dimensional reduction in slender structures, constitutive laws, and mechanics of plates and shells.

Equilibrium in 3D: System Isolation and Constraints

Covers the equilibrium conditions in 3D, system isolation, free-body diagrams, and constraints.

Mechanics of Solids: Rotation and Equilibrium

Explores the mechanics of solids, emphasizing rotation and equilibrium principles.

Nonlinear Beam Theory: Curved Beams Mechanics

Covers the theory of nonlinear curved beams, discussing inextensible strains, finite rotations, and the exact inextensionable theory.

3D Linear Elasticity & Beams

Covers 3D linear elasticity, stress, strain, beams' behavior under loads, and torsion.

Mechanics of Kirchhoff Rods: Finite Strain and Rotation Theory

Explores the theory of finite strain and rotation in Kirchhoff rods, covering inextensible strains, finite rotations, and equilibrium.

Kinematics and Dynamics of Rigid Bodies

Explores kinematics and dynamics of rigid bodies, including Euler angles and moment of inertia.

Coordinate Systems: Polar, Cylindrical, Spherical

Covers position, velocity, and acceleration in polar, cylindrical, and spherical coordinate systems.

Mechanics of Kirchhoff Rods II

Explores the mechanics of Kirchhoff rods, focusing on 3D kinematics and twisted solutions.

Physics 1: Harmonic Oscillator and Spherical Coordinates

Explores harmonic oscillators, pendulum movement, and spherical coordinates in physics.

Nonlinear Beam Theory: Mechanics of Slender Structure

Covers strain-displacement relations, simplifications, constitutive relations, equilibrium equations, and circular rings.

Mechanics of Slender Structure: Naturally Curly Hair in 3D

Delves into the mechanics of slender structures using naturally curly hair in 3D as an example.

Cinématique: Vecteur Rotation

Covers the concept of vector rotation in kinematics and the derivative of a vector with constant norm.

Mechanics of Slender Structures: Final Review and Overview

Covers the main learning objectives of ME-411, focusing on dimensional analysis, scalings, and mechanical elements.

Solid Mechanics: Motion Analysis

Explores the analysis of motion in solid mechanics, covering velocity, acceleration, and kinematics of solid bodies.

Virtual Work in Structural Mechanics

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

Virtual Work II: Examples of Potentials

Covers examples of potentials in virtual work for structural mechanics.

Mechanics of Slender Structures: Elasticity & Buckling

Explores 3D elasticity, beam bending, and buckling phenomena in slender structures.