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Vibration analysis of non-uniform tapered beams with nonlinear FGM properties

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Abstract

This paper presents the free vibration analysis of a non-uniform cone beam with nonlinearly varying axial functionally graded material (FGM) properties. Based on the Adomian decomposition method and a proposed modified mathematical procedure, the vibration mode shapes and natural frequencies of a nonlinearly tapered FGM beam are analytically derived. Several vibration analyses for uniform and non-uniform FGM structures are presented and the results are compared with the existing ones to prove the effectiveness and accuracy of the proposed methodology. Additionally, vibration analysis of exponentially and trigonometrically tapered beams with nonlinearly axial varying FGM properties considering different geometry and material taper ratios was studied and presented. Based on this analytical model, ideal structural design can be efficiently achieved for many engineering applications, such as stability enhancement and energy harvesting.

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Authors and Affiliations

  1. School of Mechanical Engineering, University of Manitoba, Winnipeg, R3T 2N2, Canada

    Alireza Keshmiri & Nan Wu

  2. Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen, 518055, China

    Quan Wang

Authors
  1. Alireza Keshmiri
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  2. Nan Wu
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  3. Quan Wang
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Corresponding author

Correspondence to Nan Wu.

Additional information

Recommended by Associate Editor Heung Soo Kim

Alireza Keshmiri received the B.Sc. and M.Sc. from University of Science and Technology, Tehran, Iran in 2012 and 2015, respectively. He is currently a Ph.D. candidate at University of Manitoba, Winnipeg, Canada. His major research interests are linear vibrations, smart structures and energy harvesting.

Nan Wu received his Ph.D. from University of Manitoba in 2012. He is an Assistant Professor of Mechanical Engineering at University of Manitoba from 2014 with research interests in structural health monitoring and enhancement, smart materials and structures and nanotechnology.

Quan Wang received his Ph.D. from Beijing University in 1994. He has made contributions to the applications of energy harvesting, structural health monitoring and repair, smart materials and structures, nano-materials in composites and medical devices. He is serving as Chair Professor at Department of Mechanics and Aerospace Engineering - Southern University of Science and Technology now.

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Keshmiri, A., Wu, N. & Wang, Q. Vibration analysis of non-uniform tapered beams with nonlinear FGM properties. J Mech Sci Technol 32, 5325–5337 (2018). https://doi.org/10.1007/s12206-018-1031-x

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  • DOI: https://doi.org/10.1007/s12206-018-1031-x

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