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Influence of axial thermal variation on modal behavior of axially functionally graded material beam

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Abstract

This investigation deals with frequency analysis of an axially functionally graded material (AFGM) beam under axial temperature variations. The modeling of AFGM beam is performed using Timoshenko beam theory considering three types of axial temperature distributions. The material properties are temperature dependent and are supposed to be varied in axial direction of the beam using power law model. The beam is subjected to uniform moisture concentration to impose humidity Effect also. The Hamilton approach is employed to obtain the governing equations. The harmonic differential quadrature method is utilized to convert the derived partial differential equations to ordinary differential equations. The MATLAB code is developed to evaluate the natural frequencies of AFGM beam. The influences of temperature rise, moisture concentration, geometric index and power law index on natural frequencies of AFGM beam are explored.

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Authors and Affiliations

  1. School of Mechanical and Aerospace Engineering, NIMS University, Jaipur, Rajasthan, 303121, India

    Rahul Singh

  2. Department of Mechanical Engineering, Rajasthan Technical University Kota, Kota, Rajasthan, 324010, India

    Pankaj Sharma

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Singh, R., Sharma, P. Influence of axial thermal variation on modal behavior of axially functionally graded material beam. Int J Interact Des Manuf (2023). https://doi.org/10.1007/s12008-023-01255-2

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