Journal of Mechanical Science and Technology

, Volume 32, Issue 11, pp 5325–5337 | Cite as

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

  • Alireza Keshmiri
  • Nan WuEmail author
  • Quan Wang


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.


Adomian decomposition method Free vibration analysis Nonlinearly varying axial FGM Nonlinearly tapered beam 


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Copyright information

© The Korean Society of Mechanical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Mechanical EngineeringUniversity of ManitobaWinnipeg, R3T 2N2Canada
  2. 2.Department of Mechanics and Aerospace EngineeringSouthern University of Science and TechnologyShenzhenChina

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