lecture09: extensions: higher-order derivatives
Topics covered
- Standard Euler-Lagrange equation
- Higher-order derivatives
- Taylor's theorem
- First Variation
- New boundary conditions
- Fixing the end-points
- 4th Order Euler-Lagrange equation
- Generalization
- Example 1
- Example 1 (cont)
- Example 2
- Example 2 (cont)
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- Example 2 (cont)
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- Example 2 (solution)
- Example 3
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- Example 3
- Example 3: uniform load
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- Example 3: point load