An energy finite element method for high frequency vibration analysis of beams with axial force

Zhaolin Chen, Zhichun Yang, Ning Guo, Guiwei Zhang

科研成果: 期刊稿件文章同行评审

29 引用 (Scopus)

摘要

In order to predict the high frequency vibration response of beams with axial force, an energy finite element method (EFEM) is developed. An Euler–Bernoulli beam with constant axial force is considered. The energy density and energy intensity of the beam with axial force are introduced, and the relationship between the wavenumber and group velocity is derived, then the energy density governing equation is established. In addition, the impedance of beam with axial force is derived to calculate the input power, and the energy density is evaluated by solving the governing equation using finite element method. Finally, the feasibility and correctness of the present EFEM are verified by comparing the results obtained by the EFEM with the corresponding exact solutions. The effects of axial force on the energy density response and the limitations of EFEM are also discussed.

源语言英语
页(从-至)521-539
页数19
期刊Applied Mathematical Modelling
61
DOI
出版状态已出版 - 9月 2018

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