冲击荷载对l型截面裂纹梁的影响

Matúš Turis, O. Ivánková
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摘要

本文讨论了l型截面梁中两个裂纹位置的动应力强度因子的确定问题。在两种情况下,裂纹都穿过整个型材体厚度。通过三维有限元分析得到如下结果:在给定边界条件下,仅考虑梁上的静载荷(轴向拉伸),与模态i的SIF相比,模态II和III的SIF可以忽略不计。在脉冲加载的情况下,由于反射应力波,引入了混合加载模式。在分析的第一步中,确定了给定裂纹体几何形状的静态SIF。然后,通过模态分析计算了固有频率及其有效质量与总质量的比值。在确定了梁在纵轴方向上振荡的主导固有频率后,确定了瞬态分析所需的时间步长。分析结果是裂纹三种加载模式下SIF的时间记录。比较了半波正弦函数形式的拉伸和压缩冲力的计算结果。总体而言,根据裂纹的位置和施加的外部载荷对六种情况进行评估。本文讨论了l型截面梁中两个裂纹位置的动应力强度因子的确定问题。在两种情况下,裂纹都穿过整个型材体厚度。通过三维有限元分析得到如下结果:在给定边界条件下,仅考虑梁上的静载荷(轴向拉伸),与模态i的SIF相比,模态II和III的SIF可以忽略不计。在脉冲加载的情况下,由于反射应力波,引入了混合加载模式。在分析的第一步中,确定了给定裂纹体几何形状的静态SIF。然后,通过模态分析计算了固有频率及其有效质量与总质量的比值。在确定了梁在纵轴方向上振荡的主导固有频率后,确定了瞬态分析所需的时间步长。分析结果…
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Effect of impulse loading on cracked beam with L-shaped cross section
This paper deals with the determination of the dynamic stress intensity factor (DSIF) for two locations of a crack in the beam with L-shaped cross section. The cracks pass through the entire profile body thickness in both position cases.The results shown below were obtained by 3D finite element analysis. Considering only static load (axial tensile) on a beam under given boundary conditions, the SIF for modes II and III was negligible compared to the SIF for mode I. In the case of impulse loading, the mixed mode of loading was introduced due to reflective stress waves.In the first step of analysis, the static SIF was determined for given cracked body geometries. Subsequently, the natural frequencies and their respective ratio of effective to total mass were calculated by modal analysis. After identifying the dominant natural frequency at which the beam oscillates in the direction of the longitudinal axis was done, the duration of time step required for transient analysis was determined.The analysis results are the time record of the SIF for all three loading modes of crack. The results of tensile and compressive impulse forces in the form of half-wave function sine are compared. Overall, six cases are evaluated depending on the position of the crack and the applied external load.This paper deals with the determination of the dynamic stress intensity factor (DSIF) for two locations of a crack in the beam with L-shaped cross section. The cracks pass through the entire profile body thickness in both position cases.The results shown below were obtained by 3D finite element analysis. Considering only static load (axial tensile) on a beam under given boundary conditions, the SIF for modes II and III was negligible compared to the SIF for mode I. In the case of impulse loading, the mixed mode of loading was introduced due to reflective stress waves.In the first step of analysis, the static SIF was determined for given cracked body geometries. Subsequently, the natural frequencies and their respective ratio of effective to total mass were calculated by modal analysis. After identifying the dominant natural frequency at which the beam oscillates in the direction of the longitudinal axis was done, the duration of time step required for transient analysis was determined.The analysis results...
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