基于量纲分析法的地运动折合位移势规律研究  

Regularity Study on Reduced Displacement Potential of Ground Motion Based on Dimensional Analysis Method

作　　者：何增[1] 浦锡锋[1] 王海兵[1] 王智环 田宙[1] He Zeng;Pu Xifeng;Wang Haibing;Wang Zhihuan;Tian Zhou(Northwest Institute of Nuclear Technology,Xi’an 710024,China;Department of Engineering Physics,Tsinghua University,Beijing 100084,China)

机构地区：[1]西北核技术研究所,陕西西安710024 [2]清华大学工程物理系,北京100084

出　　处：《石家庄铁道大学学报（自然科学版）》2020年第4期115-124,共10页Journal of Shijiazhuang Tiedao University(Natural Science Edition)

摘　　要：地运动折合位移势是空腔解耦爆炸、应力波传播、地下爆炸、地震耦合效应等研究中的重要物理量。将数值计算与量纲分析相结合,分析了折合位移势关于载荷和材料模型参数的依赖关系,建立了一定条件下折合位移势的经验估算公式,并使用最小二乘法和牛顿迭代法拟合得到了待定系数。该公式定量地反映了折合位移势与空腔半径、压力峰值、作用时间、介质密度、屈服强度和弹性模量之间的函数关系,计算值与程序的模拟值吻合较好,可为折合位移势的预测提供有效参考。在此基础上讨论了折合位移势的变化规律。Reduced displacement potential(RDP)of ground motion is a key quantity in the study of decoupled explosions in cavities,stress wave propagation,seismic coupling effects of underground explosions and so on.Combining numerical computation and dimensional analysis,this paper analyzed the RDP dependency on loading and material model coefficients,and developed empirical prediction formulas of the RDP under certain conditions.The least square method and Newton’s iteration method were employed to fit the involved coefficients.The formulas quantitatively reflected the functional relationship between the RDP and cavity radius,pressure peak,loading duration,medium density,yield strength as well as elastic modulus.The predicted values were in good agreement with simulated results,which could provide effective reference for evaluation of the RDP.On this basis the regularity of the RDP was discussed.

关 键 词：量纲分析 折合位移势 最小二乘法 规律研究 

分 类 号：O303[理学—力学] O344.3