北京建筑大学学报
北京建築大學學報
북경건축대학학보
Journal of Beijing Institute of Civil Engineering and Architecture
2015年
2期
23-28
,共6页
刘旭%陈昊祥%戚承志%王剑烨%刘郁
劉旭%陳昊祥%慼承誌%王劍燁%劉鬱
류욱%진호상%척승지%왕검엽%류욱
地震竖向分量%地下结构底板%相对位移
地震豎嚮分量%地下結構底闆%相對位移
지진수향분량%지하결구저판%상대위이
vertical seismic excitation%underground structure bottom floor%relative displacement
研究四边固定支撑情况下的地下结构底板在竖向地震作用下的动力近似解析解,首先得到结构底板的运动微分方程,通过采用结构动力学与弹性力学理论基础,并且依照四边固定支撑情况计算底板特征频率和振型。在输入地震竖向分量的振动形式后运用分离变量法解出受迫振动方程的特解,计算得到底板的相对位移和绝对位移,通过位移继续求解底板的受力情况。根据底板受力情况,对地下结构进行抗震性能分析。
研究四邊固定支撐情況下的地下結構底闆在豎嚮地震作用下的動力近似解析解,首先得到結構底闆的運動微分方程,通過採用結構動力學與彈性力學理論基礎,併且依照四邊固定支撐情況計算底闆特徵頻率和振型。在輸入地震豎嚮分量的振動形式後運用分離變量法解齣受迫振動方程的特解,計算得到底闆的相對位移和絕對位移,通過位移繼續求解底闆的受力情況。根據底闆受力情況,對地下結構進行抗震性能分析。
연구사변고정지탱정황하적지하결구저판재수향지진작용하적동력근사해석해,수선득도결구저판적운동미분방정,통과채용결구동역학여탄성역학이론기출,병차의조사변고정지탱정황계산저판특정빈솔화진형。재수입지진수향분량적진동형식후운용분리변량법해출수박진동방정적특해,계산득도저판적상대위이화절대위이,통과위이계속구해저판적수력정황。근거저판수력정황,대지하결구진행항진성능분석。
In this paper the dynamic approximate analytic solution of completed clamped supported underground structure under vertical seismic excitation is studied. The differential equation of motion of bottom slab is obtained by using the related theories of structural mechanics and elasticity. Using the conditions which are completed clamped supported the vibration frequencies and modes of the bottom floor are determined. For the given seismic excitation by using the separation of variables differential equation of motion the forced vibration equation is solved. The relative and absolute displacements of bottom floor are obtained by superposition method. Using the relative and absolute displacements of bottom floor, the bottom floor’ s force condition can be solved. By means of the force condition, it can be doing seismic performance analysis of underground structures.