斜裂纹悬臂梁非线性振动特性分析

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振动与冲击 ›› 2016, Vol. 35 ›› Issue (12) : 86-91.

论文

斜裂纹悬臂梁非线性振动特性分析

马辉1,?，曾劲1，郎自强2, 太兴宇3

作者信息 +

Nonlinear Vibration Characteristics Analysis of a Cantilever Beam with Slant Crack

MA Hui1, ZENG Jin1, LANG Ziqiang2, TAI Xingyu3

Author information +

文章历史 +

摘要

针对工程中悬臂杆件可能出现的斜裂纹故障，本文基于ANSYS软件对斜裂纹悬臂梁的非线性动力学特性进行了分析。仅考虑悬臂梁的弯曲振动，采用混合单元建立了斜裂纹悬臂梁的有限元模型，该模型在裂纹位置采用平面单元(Plane183)来模拟，采用接触单元来模拟裂纹的呼吸效应，在远离裂纹位置采用梁单元(Beam188)来模拟，通过与纯平面单元的振动响应对比，首先验证了模型的精度，其次对比了该模型相对于纯平面单元模型的计算效率。最后，本文还分析了裂纹角度和激振力幅值对系统振动响应的影响。研究表明随着裂纹角度的增加，裂纹导致的系统非线性特性更为明显；系统响应产生的基频及倍频成分幅值与激振力幅值具有线性关系。

Abstract

Aiming at the slant crack fault of cantilever bar or beam, this paper analyzes the nonlinear dynamic characteristics of a cantilever beam with slant crack based on ANSYS software. Assuming that only bending vibration of the cantilever beam is considered, a finite element (FE) model is established by using mixed elements. In the model, the plane elements (Plane 183) are adopted in the crack region and the contact elements are used to simulate the breathing effect of the slant crack. Moreover, beam elements are utilized in the regions which are far away from the crack region. By comparing with the FE model composed by full plane elements, the accuracy of the developed model is verified firstly, in addition, the calculation efficiency is also evaluated. Finally, the effects of crack angles and the amplitude of excitation force on the vibration responses of the system are also analyzed. The results show that the nonlinear characteristics caused by slant crack are more obvious with the increasing crack angles. Among the vibration responses, the amplitudes of base frequency and its multiple frequencies has a linear relationship with the amplitudes of excitation force.

导出引用

马辉1,?，曾劲1，郎自强2, 太兴宇3. 斜裂纹悬臂梁非线性振动特性分析[J]. 振动与冲击, 2016, 35(12): 86-91

MA Hui1, ZENG Jin1, LANG Ziqiang2, TAI Xingyu3. Nonlinear Vibration Characteristics Analysis of a Cantilever Beam with Slant Crack[J]. Journal of Vibration and Shock, 2016, 35(12): 86-91

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