Vibration Analysis of Axially Functionally Graded Tapered Euler-Bernoulli Beams Based on Chebyshev Collocation Method

IF 0.8 4区工程技术 Q4 ACOUSTICS

International Journal of Acoustics and Vibration Pub Date : 2020-09-30 DOI:10.20855/ijav.2020.25.31680

Wei-Ren Chen

引用次数: 1

Abstract

The bending vibration behavior of a non-uniform axially functionally graded Euler-Bernoulli beam is investigated based on the Chebyshev collocation method. The cross-sectional and material properties of the beam are assumed to vary continuously across the axial direction. The Chebyshev differentiation matrices are used to reduce the ordinary differential equations into a set of algebraic equations to form the eigenvalue problem associated with the free vibration. Some calculated results are compared with numerical results in the published literature to validate the accuracy of the present model. A good agreement is observed. The effects of the taper ratio, volume fraction index, and restraint types on the natural frequency of axially functionally graded beams with non-uniform cross section are examined.

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基于切比雪夫配点法的轴向功能梯度锥形欧拉-伯努利梁振动分析

基于切比雪夫配点法研究了非均匀轴向功能梯度欧拉-伯努利梁的弯曲振动特性。假定梁的截面和材料特性沿轴向连续变化。利用切比雪夫微分矩阵将常微分方程化为一组代数方程，形成与自由振动相关的特征值问题。将部分计算结果与已发表文献的数值结果进行了比较，验证了模型的准确性。双方达成了良好的协议。研究了锥度比、体积分数指数和约束类型对非均匀截面轴向功能梯度梁固有频率的影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Acoustics and Vibration ACOUSTICS-ENGINEERING, MECHANICAL

CiteScore

1.60

自引率

10.00%

发文量

审稿时长

12 months

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