悬臂梁在冲击荷载作用下的弹塑性响应分析

ELASTIC-PLASTIC RESPONSE ANALYSIS OF CANTILEVER UNDER IMPACT LOADING

针对悬臂梁在冲击荷载作用下的弹塑性动力响应进行研究,利用有限元软件ABAQUS建立悬臂梁模型进行数值分析。对悬臂梁中点施加冲击荷载,通过对响应不同时刻弯矩分布特征的分析,阐明了悬臂梁的弹塑性动力响应模式。结果表明冲击荷载作用下悬臂梁整个响应过程可划分为5个阶段,即弹塑性波对称传播阶段、弹塑性波反射迭加阶段、双驻定铰阶段、根部单铰阶段、弹性自由振动阶段。合理解释了撞击发生后,悬臂梁局部区段所发生的反向弯曲变形,弹塑性分析证实了响应早期弹塑性波反射迭加阶段和双驻定铰阶段的存在性,肯定了刚塑性分析所假定模式的主要特征,从而为发展全面的弹塑性分析模型提供参考。

In order to study the elastic-plastic dynamic response of cantilever beam under impact load, a cantilever beam model was established by using the finite element software ABAQUS for numerical analysis. The impact load on midpoint of cantilever beam was analyzed, and the elastic-plastic dynamic response mode of cantilever beam was clarified by analyzing the distribution characteristics of bending moment at different moments. The results showed that the whole response process of the cantilever beam under the impact load could be divided into five stages, that is, elastic plastic bending wave symmetry propagation stage; elastic-plastic bending wave reflection superposition stage;double stationary hinge stage; root single hinge stage;elastic free vibration stage. The reverse bending deformation occurred in the local section of the cantilever beam after the impact was explained, and the elastic-plastic analysis confirmed the existence of the elastic-plastic bending wave reflection stage and the double stationary hinge stage in the early response, and confirmed the main characteristics of the assumed model of the rigid plastic analysis, so as to develop the comprehensive elastic-plastic analysis. The analysis model could provide better guidance.