Calculus of Variations: Introduction

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (30)

Page 3 of 3

Nonlinear Curved Beams

Covers the mechanics of slender structures, focusing on nonlinear curved beams.

Mechanics of Slender Structures: Final Review and Overview

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

Calculus of Variations and Euler's Elastica

Explores the calculus of variations and Euler's Elastica in the context of beam equilibrium and inextensible elastic curves under large rotations.

Variational Methods: Shortest Time Path Problem

Covers variational methods to find the shortest time path for a particle under gravity.

Naturally Curved Hair in 2D

Explores the behavior of naturally curved hair in a 2D space under gravity.

Finite Differences and Finite Elements: Variational Formulation

Discusses finite differences and finite elements, focusing on variational formulation and numerical methods in engineering applications.

Introduction to Structural Mechanics

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

3D Linear Elasticity & Beams

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

Stability of ODE

Explores the stability of Ordinary Differential Equations, focusing on solution dependence, critical data, linearization, and control of nonlinear systems.

Elliptic Problems

Covers the concept of elliptic problems and their applications in various scenarios.