Abstract
A numerical study to analyse the vibration characteristics of the shear deformable graded beam is presented in this paper. The material properties of the beam are assumed to be varied in thickness and/or axial direction in accordance with the power law. The governing differential equations for free vibration analysis of FGM beam are derived using Hamilton’s Principle. The finite element formulation is then employed to obtain the numerical solution of derived differential equations. A convergence study is conducted to fix the number of elements for discretization of finite element model of FGM beam. The accuracy of model is verified by comparing the present results with that available in the literature. Parametric studies are conducted to investigate the effect of material properties, boundary conditions and geometrical parameters on the free vibration behaviour of FGM beam. Vibration characteristics of the FGM beam are presented in the form of natural frequencies and corresponding mode shapes. It is found that the vibration response of FGM beam is significantly affected by the material gradation profile.
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Limkar, M., Phalke, N., Sharma, K. (2022). A Numerical Study of Free Vibration Behaviour of Shear Deformable Functionally Graded Beam. In: Vashista, M., Manik, G., Verma, O.P., Bhardwaj, B. (eds) Recent Innovations in Mechanical Engineering. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-16-9236-9_3
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DOI: https://doi.org/10.1007/978-981-16-9236-9_3
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