初始几何缺陷对含裂纹的双向功能梯度梁振动特性研究

史迎辉; 唐怀平; 赵英治

doi:10.21656/1000-0887.450213

初始几何缺陷对含裂纹的双向功能梯度梁振动特性研究

doi: 10.21656/1000-0887.450213

西南交通大学力学与航空航天学院，成都 610031

基金项目:

国家自然科学基金（51778548）

详细信息

作者简介:
史迎辉（1999—），男，硕士生（E-mail: syhui@my.swjtu.edu.cn）;

唐怀平（1967—），男，副教授，博士（通讯作者. E-mail: thp_vib@163.com）.

通讯作者:
唐怀平（1967—），男，副教授，博士（通讯作者. E-mail: thp_vib@163.com）.

中图分类号: O342
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- 文章访问数: 20
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- PDF下载量: 2
- 被引次数: 0
出版历程
- 收稿日期: 2024-07-15
- 修回日期: 2025-06-07
- 网络出版日期: 2025-10-17

Study on Natural Vibration Characteristics of Bidirectional Functionally Graded Material Beams With Cracks and Geometric Imperfections

School of Mechanics and Aerospace Engineering, Southwest Jiaotong University,Chengdu 610031, P.R.China

Funds:

The National Science Foundation of China(51778548)

摘要

摘要: 基于Timoshenko梁理论，考虑初始几何缺陷与裂纹，利用Hamilton原理推导了含初始几何缺陷与裂纹的双向功能梯度梁的振动控制方程，使用无质量扭转弹簧模型模拟裂纹，采用微分求积法对结构控制方程求解.探究了初始几何缺陷类型、几何缺陷的无量纲振幅、裂纹深度等因素对梁结构自由振动无量纲频率的影响.结果表明：在一定轴向功能梯度指标下，无量纲基频随初始几何缺陷无量纲振幅增大而增大，随裂纹深度的增加而减小，且全局缺陷对无量纲基频的影响要大于正弦缺陷.
- 双向功能梯度梁 /
- 初始几何缺陷 /
- 裂纹 /
- 无质量扭转弹簧 /
- 微分求积法
Abstract: Based on the Timoshenko beam theory, in view of geometric imperfections and cracks, the governing equations for bidirectional functionally graded beams were derived under the Hamiltonian principle. The cracked section was modeled with a massless elastic rotational spring, and the governing equations were solved with the differential quadrature method. The effects of geometric imperfection types, geometric imperfection dimensionless vibration amplitudes, crack depths, and other factors on the dimensionless frequencies were explored. The results show that, for a certain axial functional gradient index value, the dimensionless fundamental frequency increases with the dimensionless amplitude of the geometric imperfection, and decreases with the of crack depth. Moreover, the influence of the global imperfection on the dimensionless fundamental frequency is greater than the sine imperfection.
- bi-directional functionally graded beam /
- geometric imperfection /
- crack /
- massless elastic rotational spring /
- differential quadrature method

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参考文献(26)

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初始几何缺陷对含裂纹的双向功能梯度梁振动特性研究

doi: 10.21656/1000-0887.450213

作者简介:
史迎辉（1999—），男，硕士生（E-mail: syhui@my.swjtu.edu.cn）;

唐怀平（1967—），男，副教授，博士（通讯作者. E-mail: thp_vib@163.com）.

通讯作者:
唐怀平（1967—），男，副教授，博士（通讯作者. E-mail: thp_vib@163.com）.

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Study on Natural Vibration Characteristics of Bidirectional Functionally Graded Material Beams With Cracks and Geometric Imperfections

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留言板

初始几何缺陷对含裂纹的双向功能梯度梁振动特性研究

doi: 10.21656/1000-0887.450213

作者简介: 史迎辉（1999—），男，硕士生（E-mail: syhui@my.swjtu.edu.cn）; 唐怀平（1967—），男，副教授，博士（通讯作者. E-mail: thp_vib@163.com）.

通讯作者: 唐怀平（1967—），男，副教授，博士（通讯作者. E-mail: thp_vib@163.com）.

计量

出版历程

Study on Natural Vibration Characteristics of Bidirectional Functionally Graded Material Beams With Cracks and Geometric Imperfections

计量

出版历程

目录

作者简介:
史迎辉（1999—），男，硕士生（E-mail: syhui@my.swjtu.edu.cn）;

唐怀平（1967—），男，副教授，博士（通讯作者. E-mail: thp_vib@163.com）.

通讯作者:
唐怀平（1967—），男，副教授，博士（通讯作者. E-mail: thp_vib@163.com）.