Ring foundation on elastic subgrade: an analytical solution for computer modelling using the Lagrangian multiplier method

In the practice of geotechnical engineering, the case of a ring footing carrying a set of concentrated point loads is a common problem. At times, the induced vertical and angular displacements for the ring footing need to be evaluated at a relatively precise level. By making use of the governing set of equations derived for the case of a general curved beam, expressions that can be easily implemented in modern computing software are derived for the vertical and angular displacements of a ring footing of rectangular cross section as functions of the radial position. The loading case considered is a vertical point load, and the soil is modelled as elastic. Estimates of the displacements have been shown for a common range of practical applications. The behaviour for a set of concentrated loads may be evaluated using the derived equations through direct superposition. Nonlinear finite element analysis is used to evaluate the vertical deflection and angular twist of the ring foundation. Numerical analysis performed for three ring foundations with different radii and cross sections is reported to validate the accuracy of the derived analytical solution. Copyright © 2016 John Wiley & Sons, Ltd.     

Seismic performance of cylindrical latticed-intersected-three-dimensional-beam-system reticulated mega-structure with single-layer latticed-intersected-cylindrical-shell substructures

This paper is focused on the research of seismic performance of cylindrical latticed-intersected-three-dimensional-beam-system (LITDBS) reticulated mega-structure with single-layer latticed-intersected-cylindrical-shell (LICS) substructures by time history method accounting for geometrical nonlinearity. The distribution laws of the dynamic internal forces and those of the ratios of the dynamic to static internal forces of members in this innovative structure are first studied. The behaviors of the structure under different multi-component seismic actions are analyzed, and the reasonable components of the seismic action that should be considered in design are thus obtained. Then taking the maximum dynamic internal force of the structure as the index, a series of parametric analyses are carried out, and the suitable values of several key form parameters are recommended. Additionally, the results by the response spectrum method with those by the time history method are compared, which indicates that the former is not on the safe side. Therefore, the mode-superposition response spectrum method can only be used to do preliminary seismic design of this kind of structure, and the results must be checked by the time history method at the end.     

Virgo星系团内次结构的特征尺度

在小波分析的基础上,用峰值计数法考察了Ｖｉｒｇｏ团天区的结构与次结构．在Ｖｉｒｇｏ团典型的双峰结构下面,发现还有１８０’和１２０’两个明显的次结构的特征尺度．该结果有力地支持了等级式的成团模式．与之对应的波长下的小波强度分布清楚地显示了Ｖｉｒｇｏ团丰富的次结构及其分布情况,从中还发现了两个新的较小的次结构。     

青海可可西里北缘韧性剪切带的显微构造特征

在可可西里北缘发现的糜棱岩化带,经显微构造研究确定为韧性剪切带。此带发育流劈理及拉伸线理。糜棱岩化花岗岩和糜棱岩化石英脉中的石英发育亚晶粒构造、位错构造和动态重结晶,长石主要发育机械双晶。石英c轴组构属韧性剪切带中的典型形式,石英变形以位错蠕变机制和位错滑移机制共存为特征,石英的动态重结晶作用是由亚晶粒旋转机制形成。长石的变形主要是通过机械双晶实现的。此韧性剪切带形成时的温度约400℃,差异应力约30MPa,应变速率约1.9×10^-13s^-1.     

A dynamic stiffness formulation for the analysis of secondary systems

Formulation of a frequency-domain substructure approach for the analysis of secondary systems is presented. The total system contemplated includes the primary structure, the secondary system, and the foundation medium, which is also treated as a substructure. A dynamic stiffness matrix in physical co-ordinates characterizes each one of the substructures. Elimination of the internal degrees of freedom of the primary structure prior to assembly of the equations for the coupled system is carried out with the aid of a truncated set of unconstrained normal modes. Accounting for the residual static flexibility of the truncated modes obviates potential problems of rank deficiency resulting from modal truncation. The formulation contemplates an arbitrary multi-component scattered motion at the soil–structure interface and imposes no limitations on the configuration of the primary or the secondary system. Connectivity between the systems is treated as an arbitrary linear relation between selected co-ordinates in each substructure. This feature is shown to be useful for modelling the commonly encountered situation where secondary systems are attached to torsionally eccentric structures. Copyright © 1999 John Wiley & Sons, Ltd.     

Identification of damage in reinforced concrete structures from earthquake records- optimal location of sensors

A method for the localization of structural damage in seismically excited reinforced concrete (RC) structures using a measured acceleration response time series is presented. From the measured response of some or all storeys, the two lowest smoothed eigenfrequencies and mode shape coordinates are estimated. These estimated values are used as an input to a developed substructure iteration method where local storey damages are estimated in such a way that these smoothed values are reproduced. The local damage indicator of a substructure is defined as the average reduction of the stiffness matrix of the initial undamaged substructure. The method is applied to simulated data of a six-storey, two-bay test frame (scale 1:5) that is to be tested at the Structural Laboratory of Aalborg University, Denmark. The simulations are performed using the non-linear finite element program SARCOF. Special emphasis is put on the investigation of the optimal location of measurement sensors, i.e. at which locations along the structure is the most information about the damage distribution gained. In all cases it is assumed that measurements are performed at top storey and ground surface, and the investigations are concentrated on putting one or two more measurement points in between. The two cases where the structure is excited in the first and second mode are investigated, and it is found that in general the sensors should be placed in the lower part of the structure. Furthermore, it is found that the method provides good results even when only the measurements at top storey and ground surface are used.     

汉诺坝新生代玄武岩中下地壳麻粒岩包体的变形显微构造特征及其地质意义

新生代玄武岩中的下地壳包体,由于从下地壳被快速携带至地表,因此保留了下地壳的直接信息.华北北部汉诺坝新生代玄武岩中除了含有丰富的幔源包体之外,还含有许多下地壳麻粒岩包体.本文的主要目的是通过对该区下地壳麻粒岩包体的变形显微构造和位错亚构造特征的详细研究,探讨下地壳的变形特征和变形机制.光学显微镜下观测表明,下地壳麻粒岩包体的低温(＜800℃)样品中确实发育显微破裂,但变形双晶、变形条带、扭折带也同样发育,动态重结晶作用也开始出现.随着温度、压力的升高,变形双晶、变形条带、变形纹、扭折带和重结晶新晶粒等塑性变形特征占主导地位,而显微破裂则主要表现为由塑性失配引起的显微破裂以及流体包裹体面.而明显不同于Ivrea带地体麻粒岩,在这些包体中未发现与韧性剪切有关的变形显微构造特征.透射电镜观测表明,包体中的斜长石和辉石颗粒普遍发育自由位错、位错列、亚晶界、新晶界、变形双晶、包裹体列和出溶片晶等位错亚构造.上述观测结果表明,下地壳变形作用以塑性变形为主而不是准脆性变形,其变形机制主要为位错的滑移和攀移机制,其中包括机械双晶作用和动态重结晶作用.     

Large‐scale real‐time hybrid simulation involving multiple experimental substructures and adaptive actuator delay compensation

Real‐time hybrid simulation provides a viable method to experimentally evaluate the performance of structural systems subjected to earthquakes. The structural system is divided into substructures, where part of the system is modeled by experimental substructures, whereas the remaining part is modeled analytically. The displacements in a real‐time hybrid simulation are imposed by servo‐hydraulic actuators to the experimental substructures. Actuator delay compensation has been shown by numerous researchers to vitally achieve reliable real‐time hybrid simulation results. Several studies have been performed on servo‐hydraulic actuator delay compensation involving single experimental substructure with single actuator. Research on real‐time hybrid simulation involving multiple experimental substructures, however, is limited. The effect of actuator delay during a real‐time hybrid simulation with multiple experimental substructures presents challenges. The restoring forces from experimental substructures may be coupled to two or more degrees of freedom (DOF) of the structural system, and the delay in each actuator must be adequately compensated. This paper first presents a stability analysis of actuator delay for real‐time hybrid simulation of a multiple‐DOF linear elastic structure to illustrate the effect of coupled DOFs on the stability of the simulation. An adaptive compensation method then proposed for the stable and accurate control of multiple actuators for a real‐time hybrid simulation. Real‐time hybrid simulation of a two‐story four‐bay steel moment‐resisting frame with large‐scale magneto‐rheological dampers in passive‐on mode subjected to the design basis earthquake is used to experimentally demonstrate the effectiveness of the compensation method in minimizing actuator delay in multiple experimental substructures. Copyright © 2011 John Wiley & Sons, Ltd.