Joint damage identification using Improved Radial Basis Function (IRBF) networks in frequency and time domain

Applied Soft Computing Journal

Volumn 13, Issue 7, 2013, Pages 3366-3379

  Machavaram, Rajendra ^a   Shankar, K ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY MADRAS   (India)

Author keywords

Acceleration responses; FEA; Frequency domain; Improved RBF neural networks; Joint damage identification; LHS technique; NDSIs; Time domain

Indexed keywords

DAMAGE DETECTION; FINITE ELEMENT METHOD; FREQUENCY DOMAIN ANALYSIS; FUNCTIONS; NUMERICAL METHODS; RADIAL BASIS FUNCTION NETWORKS; STRUCTURAL FRAMES;

ACCELERATION RESPONSE; FREQUENCY DOMAINS; JOINT DAMAGES; LHS TECHNIQUE; NDSIS; RBF NEURAL NETWORK; TIME DOMAIN;

TIME DOMAIN ANALYSIS;

EID: 84893647823     PISSN: 15684946     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.asoc.2013.02.004     Document Type: Article

References (27)

1. W.E. Boyce, R.C. Diprima, Elementary Differential Equations and Boundary Value Problems, 6th ed., John Wiley & Sons, New York, 1997.
2. S. Yalcinbas, M. Sezer, The approximate solution of high-order linear Volterra-Fredholm integro-differential equations in terms of Taylor polynomials, Applied Mathematics and Computation 112 (2000) 291-308.
3. P. Roul, P. Meyer, Numerical solutions of systems of nonlinear integro-differential equations by Homotopy-perturbation method, Applied Mathematical Modelling 35 (2011) 4234-4242.
4. P. Darania, E. Abadian, Development of the Taylor expansion approach for nonlinear integro-differential equations, International Journal of Contemporary Mathematical Sciences 1 (14) (2006) 651-664.
5. P. Darania, A. Ebadian, A method for the numerical solution of the integro-differential equations, Applied Mathematics and Computation 188 (2007) 657-668. (Pubitemid 46686756)
6. P. Darania, K. Ivaz, Numerical solution of nonlinear Volterra-Fredholm integro-differential equations, Computers & Mathematics with Applications 56 (2008) 2197-2209.
7. S. Liao, Y. Tan, A general approach to obtain series solutions of nonlinear differential equations, Studies in Applied Mathematics 119 (2007) 297-354.
8. Z.Y. Lee, Method of bilaterally bounded to solution Blasius equation using particle swarm optimization, Applied Mathematics and Computation 179 (2006) 779-786.
9. Mateescu, G. Daniel, On the application of genetic algorithms to differential equations, Romanian Journal of Economic Forecasting (2006).
10. Mastorakis, E. Nikos, Unstable ordinary differential equations: solution via genetic algorithms and the method of Nelder-Mead, in: Proceedings of the 6th WSEAS Int. Conf. on Systems Theory & Scientific Computation, 119, Elounda, Greece, 2007, pp. 297-354.
11. C.L. Karr, E. Wilson, A self-tuning evolutionary algorithm applied to an inverse partial differential equation, Applied Intelligence 19 (2003) 147-155.
12. C. Reich, Simulation of imprecise ordinary differential equations using evolutionary algorithms, Proceedings of the 2000 ACM Symposium on Applied Computing 1 (2000) 428-432.
13. H. Cao, L. Kang, Y. Chen, Evolutionary modeling of systems of ordinary differential equations with genetic programming, Genetic Programming and Evolvable Machines 1 (2000) 309-337.
14. K. Deb, Multi-Objective Optimization by Evolutionary Algorithms, John Wiley & Sons, Chichester, 2001.
15. S.N. Sivanandam, S.N. Deepa, Introduction to Genetic Algorithms, Springer-Verlag, Berlin, Heidelberg, 2008.
16. J. Kennedy, R.C. Eberhart, Particle swarm optimization, in: Proceedings of the IEEE International Conference on Neural Networks (Perth, Australia), IEEE Service Center, Piscataway, NJ, 1995, pp. 1942-1948.
17. L.J. Li, Z.B. Huang, F. Liu, A heuristic particle swarm optimization method for truss structures with discrete variables, Comput. Struct. 87 (2009) 435-443.
18. L.J. Li, Z.B. Huang, F. Liu, A heuristic particle swarm optimizer (HPSO) for optimization of pin connected structures, Computers & Structures 85 (2007) 340-349. (Pubitemid 46386275)
19. S.R. Singiresu, Engineering Optimization: Theory and Practice, fourth ed., John Wiley & Sons, Hoboken, NJ, 2009.
20. Y. Shi, R.C. Eberhart, A modified particle swarm optimizer, in: Proceedings of 1998 IEEE International Conference on Evolutionary Computation, 1998, pp. 69-73.
21. S. Chen, PSO MATLAB code, Version 20100125. Mathworks site, 〈http://www.mathworks.com/matlabcentral/fileexchange/25986〉 (accessed: 18.10.11).
22. http://www.particleswarm.info
23. E. Kreyszig, Advanced Engineering Mathematics, 9th ed., John Wiley & Sons, New York, 2009.
24. J.N. Reddy, Introduction to the Finite Element Method, 2nd ed., McGraw-Hill, 1993.
25. K.J. Bathe, Finite Element Procedures, 2nd ed., Prentice Hall, New Jersey, 1996.
26. S. Rajeev, C.S. Krishnamoorthy, Discrete optimization of structures using genetic algorithms, Journal of Structural Engineering: ASCE 118 (1992) 1233-1250.
27. Integro-differential equation, Wikipedia, the free encyclopedia, 〈http://en.wikipedia.org/wiki/Integro-differential-equation〉 (accessed: 13.05.12).