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Comparative analysis of the behavior of Bi-Directional Functionally Graded Beams: Numerical and Parametric study

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Abstract

This investigation presents a comparative accuracy and parametric study for analyzing the vibration characteristics of a bi-direction functionally graded (BDFG) beams. In this respect, two numerical techniques, harmonic differential quadrature (HDQ) and generalized differential quadrature (GDQ) method, are used to calculate the natural frequencies of the BDFG beam. Here, the material parameters are supposed to be varied continuously in the longitudinal and the thickness directions under an exponential rule. Hamilton's approach is employed to derive the equations of motion and corresponding end conditions. Four boundary conditions are taken in this study. The equations of motion are discretized using HDQ and GDQ techniques. The results obtained using HDQ and GDQ methods are compared with those obtained using the different numerical methods in the literature. Comparative analysis of the behavior of bi-Directional functionally graded beams using GDQ and HDQ is not available in the literature. The results show that HDQ and GDQ methods have good consistency. Moreover, the effects of exponent parameters, geometric parameters and boundary conditions on the natural frequency of BDFG beams are also examined.

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  1. Department of Mechanical Engineering, Rajasthan Technical University Kota, Rajasthan, India

    Pankaj Sharma & Ashish Khinchi

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  1. Pankaj Sharma
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Sharma, P., Khinchi, A. Comparative analysis of the behavior of Bi-Directional Functionally Graded Beams: Numerical and Parametric study. Int J Interact Des Manuf (2023). https://doi.org/10.1007/s12008-022-01191-7

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