基于Boer多孔介质理论的饱和半空间上刚性圆板基础竖向振动特性研究  

STUDY ON VERTICAL VIBRATION CHARACTERISTICS OF RIGID CIRCULAR PLATE ON SATURATED HALF-SPACE BASED ON BOER'S POROUS MEDIUM THEORY

作　　者：张石平[1] 崔春义[1,2] 杨刚[1] 李晓飞[1] 

机构地区：[1]大连海事大学土木工程系,辽宁大连116026 [2]北京工业大学建筑工程学院,北京100022

出　　处：《工程力学》2015年第10期145-153,共9页Engineering Mechanics

基　　金：国家自然科学基金项目(50809009);辽宁省教育厅一般项目(L2013305);中央高校基本科研业务费专项资金项目(3132014326)

摘　　要：针对饱和黏弹性半空间地基上刚性圆板基础竖向振动问题,基于Boer多孔介质动力控制方程组,应用Hankel积分变换技术并结合基础与地基土接触面混合边值条件,推导求解相关方程得到了饱和黏弹性半空间地基上刚性圆板基础的竖向动力阻抗以及振幅放大系数公式。在此基础上进一步通过数值算例对比分析探讨了液固耦合系数、基础质量比、地基土黏滞阻尼系数对所得基础竖向动力阻抗及振幅放大系数的影响规律。解析推导得出的对应竖向动力阻抗三维精确解不但丰富了基础振动理论,还可为相关工程实践提供参考和理论支持。Analytical solutions of vertical dynamic impedance and amplitude amplification coefficient for vibration of rigid circular plate on saturated viscoelastic half-space were obtained by employing Hankel＇s integral transformation and considering mixed boundary condition of plate-subsoil interfaces to solve Boer＇s dynamic governing equations on porous medium. Furthermore, effects of liquid-solid coupling coefficient, mass ratio of foundation, and viscous damping coefficient of soil on vertical dynamic impedance and amplitude amplification coefficient of plate foundation were investigated by parametric comparative analyses. The solutions and results of vertical dynamic impedance and amplitude amplification coefficient of plate foundation derived in present paper are expected to contribute to theories on foundation vibrations and to provide technical reference and theoretical support for related engineering practices.

关 键 词：刚性圆板基础 竖向振动 饱和半空间 Boer多孔介质理论 Hankel积分变换 黏弹性 

分 类 号：TU435[建筑科学—岩土工程]