Stochastic Seismic Response Analysis of Nonlinear Soil-Structural Systems

非线性土结构系统的随机地震响应分析

• 批准号: 63460174
• 负责人: MINAI Ryoichiro
• 金额: $ 3.84万
• 依托单位: KYOTO UNIVERSITY
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (B)
• 财政年份: 1988
• 资助国家: 日本
• 起止时间: 1988 至 1989
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-63460174/
• 关键词: Nonlinear dynamical interaction; Hysteretic constitutive law; Nonlinear wave equation; Stochastic seismic response analysis; Seismic reliability analysis; Stochastic system model; Stochastic differential equation; 動的相互作用; 確率過程; 地震応答; 非線形地盤; 非線形

Basic concepts and a method of stochastic seismic response analysis of nonlinear soil-structural systems are discussed. First, based on the conventional theory of plasticity, the differential forms of multi-axial constitutive equations of hysteretic structural components and their measures of seismic damages under multi-axial state are derived to obtain stochastic differential equations governing seismic responses of hystertic space structures. Secondary, multi-axial constitutive equations of hysteretic media are derived by making use of the differential forms of hysteretic constitutive laws in terms of equivalent stress and strain and the associative plastic flow rule, and the nonlinear wave equations of hysteretic media are obtained in the form of the simultaneous first order partial differential equations both in time and special variables. On the other hand, a method for seismic reliability analysis of hysteretic structural systems based on stochastic differential equations is presented to determine the seismic reliability functions of structural components as well as the whole structural system through solving a closed set of moment equations up to a specified highest order. Next, the finite element method for obtaining stochastic differential equations which govern the nonlinear wave propagation, in hysteretic irregular surface layer is presented, whereas the boundary element method for determining the matrix-valued stiffness function input motion associated with the interface between the hysteretic surface layer and viscoelastic infinite space is discussed. Finally, a hybrid finite and boundary element method for analyzing nonlinear stochastic responses of hysteretic soil-structural systems subjected to random seismic excitations is proposed.

讨论了非线性土-结构体系随机地震反应分析的基本概念和方法。首先，基于常规塑性理论，推导了滞回结构构件多轴本构方程的微分形式及其在多轴状态下的地震损伤测度，得到了控制滞回空间结构地震反应的随机微分方程。其次，利用滞回本构关系的等效应力、等效应变的微分形式和关联塑性流动法则，导出了滞回介质的多轴本构方程，并得到了时间和空间变量联立的一阶偏微分方程形式的滞回介质非线性波动方程。另一方面，提出了一种基于随机微分方程的滞回结构体系抗震可靠度分析方法，该方法通过求解一组最高阶矩方程来确定结构构件以及整个结构体系的抗震可靠度函数。其次，有限元法获得的随机微分方程，治理非线性波的传播，在滞后不规则的表面层，而边界元法确定的矩阵值刚度函数输入运动与滞后表面层和粘弹性无限空间之间的界面进行了讨论。最后，提出了一种分析滞回土-结构体系在随机地震作用下非线性随机反应的有限元-边界元混合法。

项目成果

國枝治郎: 日本建築学会大学学術梗概集. 1307-1308 (1988)

国枝二郎：日本大学建筑研究所学术文摘1307-1308（1988）。

Y. SUZUKI. R. MINAI: "Application of Stochastic Differential Equations to Seismic Reliability Analysis of Hysteretic Structures" Probabilistic Engineering Mechanics, Vol. 3, No. 1, pp. 43-52, 1988.

Y.铃木。

國枝治郎: "動的安定限界外力の予測法の検討の続報" 日本建築学会大会学術講演梗概集. 1119-1120 (1989)

国枝二郎：《动态稳定极限外力预测方法的后续研究》日本建筑学会会议学术讲座摘要1119-1120（1989）。

H. KUNIEDA: "On Dynamic Instability of Structures Subjected to Dynamic Excitation : A Trial Regarding Prediction of Incipient Instability" Proc. of Ninth World Conf. on Earthquake Engineering Vol. VI, pp. 1-6, 1989.

H. KUNIEDA：“关于受动态激励的结构的动态不稳定性：关于早期不稳定性预测的试验”Proc。

Ryoichiro,MINAI;Yoshiyuki,SUZUKI: Proc.9th World Conference on Earthquake Engineering. (1989)

Ryoichiro，MINAI；Yoshiyuki，SUZUKI：Proc.9th 世界地震工程学会议。