论文部分内容阅读
基于弹性地基上均匀管梁的横向波动微分方程,推导了周期加固管中各胞元的动态刚度矩阵,进而利用传递矩阵法建立了相邻胞元间的传递矩阵。将随机失谐参数引入到周期加固管中,根据Wolf算法,采用局部化因子计算了结构参数对弯曲波动局部化特性的影响。通过对周期加固管的一系列算例分析表明,弹性地基上的均匀管路存在一个临界频率,当波动频率小于该临界频率时,弯曲波的传播始终是衰减的。弹性地基可以抑制弯曲波动在特定频率范围内的传播。同时,几何尺寸变化和随机失谐对周期加固管路的频带特性和局部化程度影响不同,可以调整结构的尺寸或选择不同的变异系数来改变结构的波传播特性。最后,采用有限元模拟验证了所提出周期加固管波传播模型的正确性。
Based on the differential equation of lateral wave propagation of uniform tube-girder on elastic foundation, the dynamic stiffness matrix of each cell in periodic reinforced tube was deduced. Then, the transfer matrix between adjacent cells was established by transfer matrix method. The random detuning parameters are introduced into the periodic reinforcement tube. According to the Wolf algorithm, the localization factor is used to calculate the influence of structural parameters on the local characteristics of bending wave. A series of numerical examples of periodic reinforced pipes show that there exists a critical frequency for the uniform pipe on the elastic foundation. When the fluctuation frequency is less than the critical frequency, the propagation of the bending wave is always attenuated. Elastic foundations can suppress the propagation of bending waves over a specific frequency range. At the same time, the change of geometric dimension and random detuning have different effects on the band characteristics and localization degree of the periodic reinforced pipelines. The structure’s wave propagation characteristics can be changed by adjusting the size of the structure or choosing different coefficient of variation. Finally, finite element simulation is used to verify the correctness of the periodic wave propagation model.