On the design of membranes with increasing fundamental frequency
By means of a relaxation approach, we study the shape design of a stiff inclusion with given area in a membrane in order to maximize its fundamental frequency. As an eigenvalue control problem, the fundamental frequency is a concave function of the control, which is not described by the membrane shape, but by an element in a function space. First order optimality conditions allow to describe the optimal shape by means of a free boundary value problem.
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| Main Author: | |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Centro de Investigaciones en Matemática Pura y Aplicada (CIMPA) y Escuela de Matemática, San José, Costa Rica.
2014
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| Online Access: | http://www.scielo.sa.cr/scielo.php?script=sci_arttext&pid=S1409-24332014000100004 |
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