CAJ | 학술논문

针对随机失谐周期接头盾构隧道结构的波动局部化特性进行了研究。将盾构隧道模拟为弹性地基上通过环间接头连接的周期管梁模型，基于弹性地基上均匀管梁的横向波动微分方程及接头的平衡方程，推导了结构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结构中，根据 Wolf 算法，采用局部化因子计算了不同控制参数对弯曲波动局部化特性的影响。通过对失谐周期隧道的一系列算例分析表明，弹性地基上的均匀隧道存在一个临界频率，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。同时，弹性地基作用使得周期隧道弯曲振动波的禁带频率有所提高。失谐周期隧道将出现波动局部化现象。随着失谐程度的增加，结构的波动局部化程度增强。对于同一失谐程度，波动局部化现象在高频段更为显著。进一步，采用有限元方法验证了所提出周期盾构隧道模型的正确性。
침대수궤실해주기접두순구수도결구적파동국부화특성진행료연구。장순구수도모의위탄성지기상통과배간접두련접적주기관량모형，기우탄성지기상균균관량적횡향파동미분방정급접두적평형방정，추도료결구중각포원적동태강도구진，진이이용전체구진법건립료상린포원간적전체구진。장수궤실해삼수인입도주기결구중，근거 Wolf 산법，채용국부화인자계산료불동공제삼수대만곡파동국부화특성적영향。통과대실해주기수도적일계렬산례분석표명，탄성지기상적균균수도존재일개림계빈솔，당파동빈솔소우해림계빈솔시，만곡파적전파시종시쇠감적。동시，탄성지기작용사득주기수도만곡진동파적금대빈솔유소제고。실해주기수도장출현파동국부화현상。수착실해정도적증가，결구적파동국부화정도증강。대우동일실해정도，파동국부화현상재고빈단경위현저。진일보，채용유한원방법험증료소제출주기순구수도모형적정학성。
Flexural wave localization in the disordered periodic jointed tunnel is investigated.The periodic jointed tunnel is ap-proximated as a pipe-beam model with periodic joints on elastic foundations.By using the differential equations governing the flexural vibration of the pipe-beam on elastic foundations as well as the force equilibrium of the joints,the transfer matrix of the periodic jointed tunnel is derived based on the dynamic stiffness matrix.A random disorder is introduced in the disordered peri-odic jointed tunnel,and the localization factors are calculated to examine the wave localization according to the Wolf’s algo-rithm.The effects of various controlling parameters on the wave localization characteristics of the disordered periodic structures are assessed through a comprehensive set of numerical case studies.The obtained results show that the flexural wave is always attenuated when the frequency is less than some critical frequency of a uniform tunnel on elastic foundations.As the level of disorder increases,the localization degree is strengthened.For the same disorder level,the phenomenon of wave localization is more pronounced at the high frequency range.The validity of the proposed methodology is verified by the finite element simula-tions at the end of this paper.