Computer Methods in Applied Mechanics and Engineering
Finite Elements in Analysis and Design - Special issue: Optimum design in Japan
SIAM Journal on Numerical Analysis
Matrix analysis and applied linear algebra
Matrix analysis and applied linear algebra
Krylov-subspace methods for reduced-order modeling in circuit simulation
Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. III: linear algebra
Finite Elements in Analysis and Design
On the Convergence of Pattern Search Algorithms
SIAM Journal on Optimization
Pattern Search Algorithms for Bound Constrained Minimization
SIAM Journal on Optimization
Pattern Search Methods for Linearly Constrained Minimization
SIAM Journal on Optimization
Analysis of Generalized Pattern Searches
SIAM Journal on Optimization
Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems
Applied Numerical Mathematics
A Pattern Search Filter Method for Nonlinear Programming without Derivatives
SIAM Journal on Optimization
A hybrid genetic algorithm with pattern search for finding heavy atoms in protein crystals
GECCO '05 Proceedings of the 7th annual conference on Genetic and evolutionary computation
Approximation of Large-Scale Dynamical Systems (Advances in Design and Control) (Advances in Design and Control)
Mesh Adaptive Direct Search Algorithms for Constrained Optimization
SIAM Journal on Optimization
Convergence of Mesh Adaptive Direct Search to Second-Order Stationary Points
SIAM Journal on Optimization
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In this work, a reduced order multidisciplinary optimization procedure is developed to enable efficient, low frequency, undamped and damped, fully coupled, structural---acoustic optimization of interior cavities backed by flexible structural systems. This new method does not require the solution of traditional eigen value based problems to reduce computational time during optimization, but are instead based on computation of Arnoldi vectors belonging to the induced Krylov Subspaces. The key idea of constructing such a reduced order model is to remove the uncontrollable, unobservable and weakly controllable, observable parts without affecting the noise transfer function of the coupled system. In a unified approach, the validity of the optimization framework is demonstrated on a constrained composite plate/prism cavity coupled system. For the fully coupled, vibro---acoustic, unconstrained optimization problem, the design variables take the form of stacking sequences of a composite structure enclosing the acoustic cavity. The goal of the optimization is to reduce sound pressure levels at the driver's ear location. It is shown that by incorporating the reduced order modelling procedure within the optimization framework, a significant reduction in computational time can be obtained, without any loss of accuracy--when compared to the direct method. The method could prove as a valuable tool to analyze and optimize complex coupled structural---acoustic systems, where, in addition to fast analysis, a fine frequency resolution is often required.