基于移动有限元法的裂纹梁振动分析

摘要

采用移动有限元法和局部柔度法对移动质量作用下含裂纹简支梁进行了振动计算分析.计算考虑了裂纹和移动质量的相对位置对梁固有频率的影响,以及移动质量在不同位置、速度情况下对裂纹梁的动力响应的影响.结果分析表明,裂纹与移动质量的存在会使得梁的动态位移有不同程度的增大,且随着移动质量位置和裂纹位置的改变会使得梁的固有频率变小.%The vibration of a cracked beam due to a moving mass is investigated by using the moving finite element method and the local flexibility method.The effect of the relative position and relative depth of the crack on the natural frequency and the dynamic response of the cracked beam under different velocity are discussedthrough the numerical calculation.The analysis shows that the crack and the moving mass increase the dynamic displacement of beam,but decrease the coupling frequency of the system in a certain degree.Meanwhile,with the increase of the speed of moving mass and the relative depth of crack,the dynamic response of the beam is apt to increase.