Abstract—This paper is concerned with an optimal control problem for the Euler-Bernoulli beam equation. We assume that the transverse distributed load is a control function. We prove the existence of the unique optimal solution in the suitable set of admissible control. We get the gradient of the cost functional by using the adjoint problem.
Index Terms—Euler-Bernoulli beam equation, optimization, boundary measurement, frechet differentiability.
Euler-Bernoulli beam equation, optimization, boundary measurement, frechet differentiability.
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Cite: Yeşim Saraç and S. Şule Şener, "Identification of the Transverse Distributed Load in the Euler-Bernoulli Beam Equation from Boundary Measurement," International Journal of Modeling and Optimization vol. 8, no. 1, pp. 13-16, 2018.
