An analytical solution to neutral axis-based free vibration of temperature-dependent functionally graded beam

Nguyen Ngoc Huyen; Do Nam; Vadim Kudryashov; Nguyen Tien Khiem

doi:10.15625/2525-2518/21672

Author affiliations

Authors

Nguyen Ngoc Huyen \(^1\) Thuy Loi University, 175 Tay Son street, Kim Lien ward, Ha Noi, Viet Nam
Do Nam \(^2\) VNU University of Engineering and Technology, 144 Xuan Thuy street, Cau Giay ward, Hanoi, Viet Nam
Vadim Kudryashov \(^3\) University of Civil Protection, Ministry for Emergency Situations, 25 Mashinostroiteley street, Minsk 220118, Belarus https://orcid.org/0000-0003-4889-1060
Nguyen Tien Khiem \(^4\) Institute of Mechanics, Vietnam Academy of Science and Technology (VAST), 264 Doi Can street, Ngoc Ha ward, Ha Noi, Viet Nam https://orcid.org/0000-0001-5195-2704

DOI:

https://doi.org/10.15625/2525-2518/21672

Keywords:

functionally graded material, Euler-Bernoulli beam, neutral axis, thermal effect, free vibration

Abstract

The present study is devoted to analysis of neutral axis effect on fundamental frequency of functionally graded Euler-Bernoulli beams with temperature-dependent properties under nonlinear temperature rise distribution. First, a formula for exact position of the neutral axis in the beams is derived for general nonlinear temperature distribution and power law of material gradation. Then, the dislocation of the neutral axis from the central one is examined along volume fraction index and various types of the temperature distribution. Finally, the effect of exact neutral axis position on fundamental frequency is investigated to reveal when the neutral axis position and nonlinear temperature distribution should be considered in vibration analysis of the beams. Numerical analysis is conducted for illustration of the proposed theoretical development.

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