缺陷周期性高架桥的能带

Energy Bands of the Defected Periodic Viaduct

基于铁木辛柯梁理论建立周期性高架桥对地震波动力响应的计算模型,研究高架桥在地震波作用下的能带.根据梁和墩的传递矩阵及梁-梁-墩(BBP)接头处的连接条件建立了高架桥单跨的传递矩阵.在此基础上,确定缺陷周期性高架桥的能带.结果表明,周期性高架铁路在地震荷载作用下,通常会发生面内振动和面外振动.其中面内振动包括墩与梁的轴向振动和面内弯曲振动,面外振动包括墩与梁的扭转振动及面外弯曲振动.周期性结构的能带包括通带和禁带,其中通带是指特征波波数虚部很小的频率区间,而禁带则指特征波波数虚部较大的频率区间.

In order to study the effect of elevated bridge under the seismic wave band, based on the Timoshenko beam periodic viaduct was established for calculation of seismic dynamic response model. According to transfer matrix of beam and pier and beam-beam-block （BBP） tapping the connection condition of elevated railway single span transfer matrix was established. Based on transfer matrix of single span, the energy band periodic defect of elevated railway was determined. Periodic elevated railway under the action of earthquake load tends to vibrate in plane and out of plane. The in-plane vibration including axial vibration, pier and girder in plane bending vibration, the out of plane vibration includes torsional vibration and surface of pier and beam bending vibration. The band consists of pass band and stop band of the periodic structure, wherein the pass band characteristic wave number refers to the imaginary part of the frequency interval, which is very small, while the band gap characteristics of wave number refers to the imaginary part of the larger frequency interval.