Mechanics of slender structures
ME-411
Handwritten notes for Lecture 03 (Before and After lecture): Calculus of Variation and Euler's Elastica
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Description
- Variational methods
- Calculus of variations with constraints
- Example: Equilibrium shape of a bent inextensible beam clamped at its ends
- Euler's Elastica
- Numerical methods and examples (the shooting method)
- Analytical methods for Euler's Elastica (elliptic integrals)