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Showing 1 to 4 of 4 for “"Eigenvalue Optimization"”.
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Eigenvalue optimization and its applications in buckling and vibration
Eigenvalue problems are of immense interest and play a pivotal role not only in many fields of engineering but also in pure and applied mathematics. An in-depth understanding of this class of problems is a pre-requisite for vibration and buckling analyses of structures. Design optimization of …
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Simulation and design optimization for linear wave phenomena on metamaterials
… finite periodic structures designed using optimization techniques. Two different kind of problems can be found: those involving linear waves and those involving nonlinear waves. The former have been widely studied and analyzed within the last few years and many interesting results have been …
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Reduced Order Modeling for Efficient Stability Analysis in Structural Optimization
Design optimization involving complex structures can be a very resource-intensive task. Convex optimization problems could be solved using gradient-based approaches, whereas non-convex problems require heuristic methods. Over the past few decades, many optimization techniques have been presented in …
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Steklov Eigenvalue Problems on Nearly Spherical and Annular Domains
<p>We consider Steklov eigenvalues on nearly spherical and nearly annular domains in d dimensions where d is any given positive integer. By using the Green-Beltrami identity for spherical harmonic functions, the derivatives of Steklov eigenvalues with respect to the domain perturbation parameter …