Geometric Nonlinearity: Large Rotations in Structural Analysis

Related lectures (32)

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

Covers examples of potentials in virtual work for structural mechanics.

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

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

Covers the topic of conformal transformations, including translations, dilations, rotations, and the conformal algebra.

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

Covers strain-displacement relations, equilibrium equations, and energy functional in nonlinear beam theory with small strain and moderate rotation.

Provides an overview of advanced mechanisms analysis using Finite Element Method and Finite Element Analysis in engineering applications.

Explores the application and formulation of the finite element method in solving various engineering problems.

Explains the Polar Decomposition Theorem, which isolates stretching from rotation to prevent stress induction in the body.