Abstract
We shall extend the homogenization design method for the global stiffness maximization of an elastic structure to the optimization problem related to eigenvalues for free vibration such as maximization of a specified set of eigenvalues, maximization of the distance of the two specified eigenvalues, and identification of a structure that possesses a set of specified eigenvalues. To this end, the basic mathematical formulation and a solution method are proposed as well as various numerical examples of obtaining the optimum layout of both plane plate, and three-dimensional shell structures.
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Kikuchi, N., Cheng, HC., Ma, ZD. (1995). Optimal Shape and Topology Design of Vibrating Structures. In: Herskovits, J. (eds) Advances in Structural Optimization. Solid Mechanics and Its Applications, vol 25. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0453-1_6
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DOI: https://doi.org/10.1007/978-94-011-0453-1_6
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