Abstract
The occurrence of dynamic problems during the operation of machinery may have devastating effects on a product. Therefore, design optimization of these products becomes essential in order to meet safety criteria. In this research, a hybrid design optimization method is proposed where attention is focused on structures having repeating patterns in their geometries. In the proposed method, the analysis is decomposed but the optimization problem itself is treated as a whole. The model of an entire structure is obtained without modeling all the repetitive components using the merits of the Component Mode Synthesis method. Backpropagation Neural Networks are used for surrogate modeling. The optimization is performed using two techniques: Genetic Algorithms (GAs) and Sequential Quadratic Programming (SQP). GAs are utilized to increase the chance of finding the location of the global optimum and since this optimum may not be exact, SQP is employed afterwards to improve the solution. A theoretical test problem is used to demonstrate the method.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Akçay Perdahcıoğlu D, van der Hoogt P, de Boer A (2007) Design optimization applied in structural dynamics. In: Proceedings of 1st international conference on artificial intelligence for industrial applications, pp 45–50
Conn A, Gould N, Toint P (1991) A globally convergent augmented lagrangian algorithm for optimization with general constraints and simple bounds. SIAM J Numer Anal 28(2):545–572
Craig R, Bampton M (1968) Coupling of substructures for dynamic analysis. AIAA 6(7):1313–1319
Foresee F, Hagan M (1997) Gauss newton approximation to bayesian learning. In: IEEE trans. on neural networks—proceedings of ICNN 97, pp 1930–1935
Geradin M, Rixen D (1994) Mechanical vibrations—theory and applications to structural dynamics. Wiley, New York
Gill P, Murray W, Saunders M, Wright M (1984) Procedures for optimization problems with a mixture of bounds and general constraints. ACM Trans Math Softw 10(3):282–298
Giunta A, Wojtkiewicz S Jr, Eldred M (2003) Overview of modern design of experiments methods for computational simulations. In: AIAA-2003-649, 41st aerospace sciences meeting and exhibit, Reno
Gould N, Conn A, Toint P (1997) A globally convergent lagrangian barrier algorithm for optimization with general inequality constraints and simple bounds. Math Comput 66(217):261–288
Hagan M, Demuth H, Beale M (1996) Neural network design, chapter 11. PWS, Boston
Han S (1977) A globally convergent method for nonlinear programming. J Optim Theory Appl 22(3):297–309
Hornik K (1989) Multilayer feedforward networks are universal approximators. Neural Netw 2:359–366
Hou G, Maroju V, Yang R (1995) Component mode synthesis based design optimization method for local structural modification. Struct Optim 10:128–136
Kumar R (2007) Genetic algorithm and direct search toolbox, version 2.1. MATLAB R2007a
Mackay D (1992) Bayesian interpolation. Neural Comput 4:415–447
McKay M, Beckman R, Conover W (1979) A comparison of three methods for selecting values of input variables in the analysis of output from a computer code. Technometrics 21(2):239–245
Rixen D (2004) A dual craig-bampton method for dynamic substructuring. J Comput Appl Math 168(1-2):383–391
Sobieszczanski-Sobieski J (1989) Multidisciplinary optimization for engineering systems: achievements and potential. Technical memorandum N89-24508, NASA
Wind J (2005) Silent components fast, a global local optimization method for dynamic problems. Master’s thesis, University of Twente
Wind J, Akçay Perdahcıoğlu D, de Boer A (2008) Distributed multilevel optimization for complex structures. Struct Multidisc Optim 36(1):71–81
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Akçay Perdahcıoğlu, D., Ellenbroek, M.H.M., van der Hoogt, P.J.M. et al. An optimization method for dynamics of structures with repetitive component patterns. Struct Multidisc Optim 39, 557 (2009). https://doi.org/10.1007/s00158-009-0399-8
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/s00158-009-0399-8