Abstract
The parameter determination of viscoelastic material is a multi-variable, multi-aim nonlinear optimization problem, which made the optimization process very complicated. In this paper a hybrid optimal algorithm was proposed to determine the viscoelastic parameters in the constitutive relation according to the experimentally obtained mechanical properties. This algorithm merges the Broydon–Fletcher–Goldfarb–Shanno search into a genetic algorithm framework as a basic operator in order to enhance the local search capability. The proposed hybrid algorithm not only can reduce the iterative times greatly but can abolish the limitation of initial parameter values. Nonlinear material characteristic curve-fitting was carried out using the proposed algorithm and other existing approaches. And the comparison results show this algorithm is accurate and effective. The numerical simulation and experimental study of viscoelastic cantilever beam also indicates that the finite element formulation and the calculative viscoelastic model parameters are reliable. The proposed optimization method can be extended to further complex parameter estimation researches.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Rao M.D. (2003). Recent applications of viscoelastic damping for noise control in automobiles and commercial airplanes. J. Sound Vib. 262: 457–474
Rusocici R., Inman D.J. and Lesieutre G.A. (2001). Development and validation of anelastic displacement fields-based dynamic finite elements. Smart struct. Mater. 4331: 312–323
Zhang L., Du H.P., Shi Y.M. and Shi X.Z. (2002). Parametric determination for GHM of ZN-1 viscoelastic material. Rare Metal Mater. Eng. 31(2): 92–96
Yun Y.S., Gen M. and Seo S.L. (2003). Various habrid methods based on genetic algorithm with fuzzy logic controller. J. Intell. Manuf. 14(3–4): 401–419
Lee C.Y., Yun Y.S. and Gen M. (2002). Reliablity optimization design for complex systems by hybrid GA with fuzzy logic control and local search. IEIE Trans. Fundam. Electron. Commun. Comput. Sci. E85-A(4): 880–891
Gen M. and Cheng R. (2000). Genetic Algorithms and Engineering Optimization. Wiley, New York
Wei L.Y. and Zhao M. (2005). A niche hybrid genetic algorithm for global optimization of continuous multimodal functions. Appl. Math. Comput. 160(3): 649–661
Zhang H.G. and Zhu Q.S. (2003). Glass composition prediction by a combined GA-BFGS algorithm. Comput. Appl. Chem. 20(3): 335–340
Lesieutre G.A. and Bianchini E. (1996). Finite element modeling of one-dimensional viscoelastic structure using anelastic displacement fields. J. Guid. Control Dyn. 19(3): 520–527
Lesieutre G.A. and Lee U. (1996). A finite element for beams having segmented active constrained layers with frequency-dependent viscoelastic. J. Smart Mater. Struct. 5: 615–627
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Guo, Y., Meng, G. & Li, H. Parameter determination and response analysis of viscoelastic material. Arch Appl Mech 79, 147–155 (2009). https://doi.org/10.1007/s00419-008-0221-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00419-008-0221-x