多裂纹梁的动力学分析

裂纹梁的理论动力特性依赖于所采用的裂纹模型是众所周知的.对一种不连续、敞开型的简化梁裂纹模型进行了改进.裂纹两边的刚度减损区域的有效长度在公式上表示为与裂纹的深度相关.对多裂纹梁进行了自由振动和受迫振动分析,并与已有的其他裂纹模型的结果进行了比较.算例表明改进的裂纹模型能给出准确的模态频率和时域响应计算结果,特别是对于刚度减损的有效长度出现交叠的情况.

Dynamic Analysis of a Beam with Multiple Cracks

It is well known that the analytical vibration characteristic of a cracked beam depends largely on the crack model. An improved and simplified approach in modeling discrete open cracks in a beam is presented. The effective length of the crack zone with stiffness reduction on both sides of a crack is formulated in terms of the crack depth. Both free and forced vibrations of the beam with multiple cracks are studied and the results from the proposed modified crack model and other existing models are compared....