Vibration of Laminated Composite Plates by Generalized Multiquadrics with Optimal Shape Parameter and Exponent

Abstract:

Meshless collocation method based on generalized multiquadrics radial basis function is used to study the free vibration of simply supported laminated composite plates. The generalized multiquadric radial basis function g=[r²+c²]^q has the exponent q and shape parameter c that play an important role in the accuracy of the approximation. Genetic algorithm is utilized to optimize the shape parameter and exponent of generalized multiquadrics radial basis function. The natural frequencies of simply supported laminated composite plates are calculated using the generalized multiquadrics with optimal shape parameter, exponent and compared with the analytical solutions.

• Periodical: Advanced Materials Research (Volume 1082)
• Pages: 429-432
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.1082.429
• Online since: December 2014
• Authors: Ying Tao Chen, Song Xiang, Wei Ping Zhao
• Keywords: Generalized Multiquadrics, Genetic Algorithm (GA), Laminated Composite Plates, Radial Basis Function, Shape Parameter, Vibration

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