地震工程学报
地震工程學報
지진공정학보
China Earthquake Engineering Journal
2015年
1期
94-99
,共6页
Kelvin 模型%沉管隧道%车辆荷载%位移%弯矩
Kelvin 模型%沉管隧道%車輛荷載%位移%彎矩
Kelvin 모형%침관수도%차량하재%위이%만구
Kelvin model%submerged tube tunnel%vehicle load%displacement%bending moment
假定软土地区海底沉管隧道地基土为 Kelvin 模型,车辆荷载是随时间变化的波动荷载形式,引入黏弹性地基梁模型,利用模态叠加法给出三种情况下沉管隧道的竖向位移、弯矩和地基反力的解答。结合天津海河沉管隧道工程实例,分析车辆速度、地基土模量对沉管隧道竖向位移及弯矩的影响。研究结果表明:车辆荷载引起的管段中点振动振幅达5 mm 左右,振动周期为0.25 s;引起的管段中点弯矩为15500 kN·m 左右,且车速越大,管段振动一个周期所需时间越短,振动越剧烈,但对振动幅度及弯矩影响不大;地基土模量越大,振动幅度和弯矩越小,但对周期影响不大。
假定軟土地區海底沉管隧道地基土為 Kelvin 模型,車輛荷載是隨時間變化的波動荷載形式,引入黏彈性地基樑模型,利用模態疊加法給齣三種情況下沉管隧道的豎嚮位移、彎矩和地基反力的解答。結閤天津海河沉管隧道工程實例,分析車輛速度、地基土模量對沉管隧道豎嚮位移及彎矩的影響。研究結果錶明:車輛荷載引起的管段中點振動振幅達5 mm 左右,振動週期為0.25 s;引起的管段中點彎矩為15500 kN·m 左右,且車速越大,管段振動一箇週期所需時間越短,振動越劇烈,但對振動幅度及彎矩影響不大;地基土模量越大,振動幅度和彎矩越小,但對週期影響不大。
가정연토지구해저침관수도지기토위 Kelvin 모형,차량하재시수시간변화적파동하재형식,인입점탄성지기량모형,이용모태첩가법급출삼충정황하침관수도적수향위이、만구화지기반력적해답。결합천진해하침관수도공정실례,분석차량속도、지기토모량대침관수도수향위이급만구적영향。연구결과표명:차량하재인기적관단중점진동진폭체5 mm 좌우,진동주기위0.25 s;인기적관단중점만구위15500 kN·m 좌우,차차속월대,관단진동일개주기소수시간월단,진동월극렬,단대진동폭도급만구영향불대;지기토모량월대,진동폭도화만구월소,단대주기영향불대。
As unique underground structures,submerged tube tunnels have been subject to vehicle loads for long periods of time.As the loads change,the underwater tunnel will show cyclical chan-ges in displacement,bending moment,and ground reaction force.These periodic changes represent a significant potential threat to the integrity of tunnel structures.The purpose of this study was to assess the impacts of vehicle load on those tunnels.The modal superposition method was used to analyze three characteristics of vertical displacement,bending moment,and ground reaction force in underwater tunnels.In this method,two conditions were assumed:(1)the underwater tunnel in soft soil areas is the foundation of the Kelvin model,and (2)vehicle loading is the fluctuation of load form changing with time.The impact of vehicle speed and the foundation soil modulus on the tunnel’s vertical displacement and bending moment was analyzed.Using the Beam-On-Elastic-Foundation (BOEF)model,combined with data from the Tianjin Haihe River tunnel engineering, the results of the analysis showed that:(1)the midpoint pipe vibration amplitude induced by vehi-cle loads was up to 5 mm,the midpoint pipe bending moment was approximately 15 500 kN·m, and the vibration cycle was 0.25 s;(2)the higher the vehicle speed,the shorter the pipe vibration cycle time,the more intense the vibration,and the lower the effect on amplitude;and,(3)the grea-ter the modulus of foundation soils,the smaller the amplitude of vibration and bending moment,and the lower the effect on the cycle.