The transverse displacement u(x, t) of a vibrating beam of length L is determined from a fourth-order partial differential equation
If the beam is simply supported, as shown in Figure 12.4.9, the boundary and initial conditions are
Solve for u(x, t). [Hint: For convenience use λ = α4 when separating variables.]
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Chapter 12 Solutions
Bundle: Differential Equations with Boundary-Value Problems, 9th + WebAssign Printed Access Card for Zill's Differential Equations with Boundary-Value Problems, 9th Edition, Single-Term
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning