振动与冲击
振動與遲擊
진동여충격
JOURNAL OF VIBRATION AND SHOCK
2014年
3期
35-40
,共6页
郑鑫%陶夏新%王福彤%谢礼立
鄭鑫%陶夏新%王福彤%謝禮立
정흠%도하신%왕복동%사례립
轨道交通%环境振动%衰减关系%局部放大%传递矩阵法
軌道交通%環境振動%衰減關繫%跼部放大%傳遞矩陣法
궤도교통%배경진동%쇠감관계%국부방대%전체구진법
rail traffic%environment vibration%attenuation%local amplification%transfer matrix method
为了研究城市轨道交通引起的环境振动竖向位移衰减关系中局部放大现象的产生机理,将场地简化为弹性半空间单一覆盖层模型,采用传递矩阵法推导了频率波数域三维层状场地竖向位移的动力格林函数。通过七个半空间与覆盖层的模量比,四个覆盖层厚度,七个激励频率,三个覆盖层阻尼比等诸多因素对局部放大影响的分析,结果表明局部放大受埋藏的主要速度界面控制,局部放大区的位置和放大的强度与该界面两侧的模量比(波阻抗比)、覆盖层厚度、激励的频率及覆盖土层的阻尼比等因素有关。一般来说,速度界面的波阻抗越大,局部放大越强烈;给定其他条件,使直达的表面波与半空间表面折射波越接近同时到达的覆盖层厚度使局部放大越为明显,使两者波峰越靠近的激励频率会引起更为明显的局部放大;覆盖层阻尼比越小,局部放大越强烈。
為瞭研究城市軌道交通引起的環境振動豎嚮位移衰減關繫中跼部放大現象的產生機理,將場地簡化為彈性半空間單一覆蓋層模型,採用傳遞矩陣法推導瞭頻率波數域三維層狀場地豎嚮位移的動力格林函數。通過七箇半空間與覆蓋層的模量比,四箇覆蓋層厚度,七箇激勵頻率,三箇覆蓋層阻尼比等諸多因素對跼部放大影響的分析,結果錶明跼部放大受埋藏的主要速度界麵控製,跼部放大區的位置和放大的彊度與該界麵兩側的模量比(波阻抗比)、覆蓋層厚度、激勵的頻率及覆蓋土層的阻尼比等因素有關。一般來說,速度界麵的波阻抗越大,跼部放大越彊烈;給定其他條件,使直達的錶麵波與半空間錶麵摺射波越接近同時到達的覆蓋層厚度使跼部放大越為明顯,使兩者波峰越靠近的激勵頻率會引起更為明顯的跼部放大;覆蓋層阻尼比越小,跼部放大越彊烈。
위료연구성시궤도교통인기적배경진동수향위이쇠감관계중국부방대현상적산생궤리,장장지간화위탄성반공간단일복개층모형,채용전체구진법추도료빈솔파수역삼유층상장지수향위이적동력격림함수。통과칠개반공간여복개층적모량비,사개복개층후도,칠개격려빈솔,삼개복개층조니비등제다인소대국부방대영향적분석,결과표명국부방대수매장적주요속도계면공제,국부방대구적위치화방대적강도여해계면량측적모량비(파조항비)、복개층후도、격려적빈솔급복개토층적조니비등인소유관。일반래설,속도계면적파조항월대,국부방대월강렬;급정기타조건,사직체적표면파여반공간표면절사파월접근동시도체적복개층후도사국부방대월위명현,사량자파봉월고근적격려빈솔회인기경위명현적국부방대;복개층조니비월소,국부방대월강렬。
In order to investigate the forming mechanism of local amplification in rail traffic-induced ground vibration attenuation,the ground was simplified to be a single soil layer covering on an elastic half-space.Dynamic Green's function of vertical ground displacement of a three-dimensional layered site model was derived in frequency domain.The effects of many fators including seven modulus ratios of half space to covering layer,four thicknesses of convering layer,seven exciting frequencies,and three damping ratios of convering layer on local amplification were analyzed.The results showed that local amplification is controlled by an important buried velocity interface,its location and intensity of amplification depend on ratio of elastic moduli of medias in the both sides of the interface,i.e., impedance ratio,thickness of covering layer,exciting frequency and damping ratio of covering;in general,the larger the impedance of the interface,the stronger the local amplification;giving the other conditions,the closer the directly arriving time of surface wave and the arriving time of refraction wave from the interface which are governed by covering layer thickness,the more obvious the local amplification;the closer the peaks of waves which are governed by exciting frequency,the more obvious the local amplification;the smaller the damping ratio of covering layer,the stronger the local amplification.