Equivalent series system to model a multiple friction pendulum system with numerous sliding interfaces for seismic analyses

Current structural analysis software programs offer few if any applicable device-specifi c hysteresis rules or nonlinear elements to simulate the precise mechanical behavior of a multiple friction pendulum system(MFPS) with numerous sliding interfaces.Based on the concept of subsystems,an equivalent series system that adopts existing nonlinear elements with parameters systematically calculated and mathematically proven through rigorous derivations is proposed.The aim is to simulate the characteristics of sliding motions for an MFPS isolation system with numerous concave sliding interfaces without prior knowledge of detailed information on the mobilized forces at various sliding stages.An MFPS with numerous concave sliding interfaces and one articulated or rigid slider located between these interfaces is divided into two subsystems: the fi rst represents the concave sliding interfaces above the slider,and the second represents those below the slider.The equivalent series system for the entire system is then obtained by connecting those for each subsystem in series.The equivalent series system is validated by comparing numerical results for an MFPS with four sliding interfaces obtained from the proposed method with those from a previous study by Fenz and Constantinou.Furthermore,these numerical results demonstrate that an MFPS isolator with numerous concave sliding interfaces,which may have any number of sliding interfaces,is a good isolation device to protect structures from earthquake damage through appropriate designs with controllable mechanisms.

EQUATION OF MOTION FOR NOVEL FRICTION PENDULUM SYSTEM WITH DUAL ROLLERS

A novel friction pendulum system （FPS） with dual rollers is studied based on the multibody dynamics theory. By analyzing kinematic characteristics of the system, it is reduced to a one degree-of-freedom system. Then the equation of motion for the system is analytically derived by applying the theorem of the relative kinetic energy for a system of particles in differential form in the non-inertial reference system described as a nonlinear differential equation. In the case of the small angular displacement, the natural frequency of the corresponding undamped linear system is obtained, which is consistent with the experimental observation. The derived equation is useful for the study of dynamic characteristics of novel FPS, and its solution directly expedites the simulation of the system in a control loop, and further facilitates the semi-active control process including novel FPS.

Modelling and Analysis of Base Isolated Structures with Friction Pendulum System Considering near Fault Events

The seismic behavior of base isolated structures with friction pendulum slide bearings devices subjected to near fault events characterized by significant vertical ground motion components is investigated. In particular, in order to evaluate the effects of vertical components on seismic response, non-linear dynamic analysis, carried out by using several numerical models, have been performed by considering two near-fault seismic events, L’Aquila 2009 and Emilia Romagna 2012. The obtained results show that increasing vertical seismic motion base shear significantly increases while relative displacements increase very little.

Optimal design and effectiveness evaluation for inerter-based devices on mitigating seismic responses of base isolated structures

The optimal design and effectiveness of three control systems,tuned viscous mass damper(TVMD),tuned inerter damper(TID)and tuned mass damper(TMD),on mitigating the seismic responses of base isolated structures,were systematically studied.First,the seismic responses of the base isolated structure with each control system under white noise excitation were obtained.Then,the structural parameter optimizations of the TVMD,TID and TMD were conducted by using three different objectives.The results show that the three control systems were all effective in minimizing the root mean square value of seismic responses,including the base shear of the BIS,the absolute acceleration of structural SDOF,and the relative displacement between the base isolation floor and the foundation.Finally,considering the superstructure as a structural MDOF,a series of time history analyses were performed to investigate the effectiveness and activation sensitivity of the three control systems under far field and near fault seismic excitations.The results show that the effectiveness of TID and TMD with optimized parameters on mitigating the seismic responses of base isolated structures increased as the mass ratio increases,and the effectiveness of TID was always better than TMD with the same mass ratio.The TVMD with a lower mass ratio was more efficient in reducing the seismic response than the TID and TMD.Furthermore,the TVMD,when compared with TMD and TID,had better activation sensitivity and a smaller stroke.

Multi dimensional Seismic Response Analysis of Base Isolated Frame Structure with 3D Isolator

The three dimensional lead rubber dish spring bearing (3DB) is proposed in this paper. The 3DB is composed of lead rubber bearing (LRB) and dish spring bearing (DSB) with damper in series. The 3DB put forward in this paper is effective in the resolution of difficulties in strong vertical capacity and vertical damping of three dimensional isolation bearings. It effectively suppresses rocking motions as well. The analytical model and motion equations of multi dimensional seismic responses of 3D base isolated frame structures are established. Taking a five storey frame structure as an example, an extensive simulation analysis is carried out. The results show that the 3D base isolated structure with the proposed 3DB is effective in 3D isolation; it can reduce seismic responses by 50 % compared to a non isolated structure. Therefore, the 3D isolation problem in building can be solved easily and effectively with the 3DB proposed in this paper.

Seismic response of selective pallet racks isolated with friction pendulum bearing system

The concept of base isolation for storage racks is still a developing subject and has not been addressed in the recently updated seismic codes for storage racks.The friction pendulum bearing system(FPS)generates a natural period independent of the structure's seismic mass.This property makes FPS an ideal choice for isolating rack structures since merchandise may be placed on the racks in several possible arrangements.The results of a comprehensive parametric study aimed at evaluating the seismic performance of a four-shelf,two-bay selective pallet rack isolated with FPS is presented in this paper.The influence of radius of curvature of the FPS,seismic mass,and mass irregularity on the rack's seismic response is examined.The effect of variation of the coefficient of friction due to axial loading is studied by choosing friction values from two distinct friction characterization studies.The coefficient of friction calculated from these studies shows mild and significant variations,respectively,for the whole range of static axial loads expected on the isolator,and from different pallet mass arrangements considered.The optimum radius of curvature and the appropriate range of friction coefficient,for the defined range of static axial loads,to attain a desirable seismic performance are determined.

Seismic Responses of Asymmetric Base-Isolated Structures under Near-Fault Ground Motion

An inter-story shear model of asymmetric base-isolated structures incorporating deformation of each isolation bearing was built, and a method to simultaneously simulate bi-directional near-fault and far-field ground motions was proposed. A comparative study on the dynamic responses of asymmetric base-isolated structures under near-fault and far-field ground motions were conducted to investigate the effects of eccentricity in the isolation system and in the superstructures, the ratio of the uncoupled torsional to lateral frequency of the superstructure and the pulse period of near-fault ground motions on the nonlinear seismic response of asymmetric base-isolated structures. Numerical results show that eccentricity in the isolation system makes asymmetric base-isolated structure more sensitive to near-fault ground motions, and the pulse period of near-fault ground motions plays an import role in governing the seismic responses of asymmetric base-isolated structures.

Base Isolation Seismic Retrofit of a Hospital Building in Italy

The paper deals on a significant retrofit project currently under construction of an existing hospital building in Avellino （Italy）. The seismic retrofit was realized by connecting together the first floors of the three existing structures and by creating a unique isolation system composed of high damping rubber bearings and sliding devices. The base isolation is achieved by gradually cutting the building from foundation and installing the isolators at the level of upper edge of the columns. The study allows the verification of the adequacy of the isolation system, showing the benefits of the application of the isolation devices, the limitations and the characteristics of their performance.

Seismic response reduction analysis of large chassis base-isolated structure under long-period ground motions

Long-period structures(e.g.Isolated structures)tend to produce pseudo-resonance with low frequency compo-nents of long-period ground motions,resulting in the increase in damage.Stiffness mutation occurs due to the set-back in the upper body of the large chassis structure.In the parts with stiffness mutation,the torsion effect caused by the tower is far greater than that of the chassis itself.In this study,a total of 273 ground motions are collected and then filtered into four types,including the near-field ordinary,near-field pulse,far-field ordinary,and far-field harmonic.An 8-degree(0.2 g)fortified large chassis base-isolated structure is established.Furthermore,ETABS program software is used to conduct nonlinear time history analysis on the isolation and seismic model under bi-directional earthquake ground motions.The comparison results show that the seismic isolation effect of the base-isolated structure under long-period ground motions is worse than that associated with ordinary ground motions when the seismic response reduction rate of the large base floor significantly decreases compared with that of the tower.When the inter-story displacement angle and the displacement of isolation layer of the chassis exceeds the limit of Code for Seismic Design of Buildings(GB 50011-2010),it is recommended to adopt composite seismic isolation technology or add limit devices.Under the condition of long-period ground motions,the base-isolated structure reduces the lateral-torsional coupling effect of the large chassis structure,while the torsion response of large chassis’top layer increases.Under long-period ground motions with the same acceleration peak,the response of the base-isolated structure increases much more than that of the seismic structure and the consideration of this impact is suggested to be added to the Code.

Seismic isolation analysis of FPS bearings in spatial lattice shell structures

A theoretical model of a friction pendulum system （FPS） is introduced to examine its application for the seismic isolation of spatial lattice shell structures. An equation of motion of the lattice shell with FPS bearings is developed. Then, seismic isolation studies are performed for both double-layer and single-layer lattice shell structures under different seismic input and design parameters of the FPS. The influence of frictional coefficients and radius of the FPS on seismic performance are discussed. Based on the study, some suggestions for seismic isolation design of lattice shells with FPS bearings are given and conclusions are made which could be helpful in the application of FPS.

Nonlinear dynamic analysis of multi-base seismically isolated structures with uplift potential Ⅰ:formulation

The complexity of modem seismically isolated structures requires the analysis of the structural, system and the isolation system in its entirety and the ability to capture potential discontinuous phenomena such as isolator uplift and their effects on the superstructures and the isolation hardware. In this paper, an analytical model is developed and a computational algorithm is formulated to analyze complex seismically isolated superstructures even when undergoing highly-nonlinear phenomena such as uplift. The computational model has the capability of modeling various types of isolation devices with strong nonlinearities, analyzing multiple superstructures （up to five separate superstructures） on multiple bases （up to five bases）, and capturing the effects of lateral loads on bearing axial forces, including bearing uplift. The model developed herein has been utilized to form the software platform 3D-BASIS-ME-MB, which provides the practicing engineering community with a versatile tool for analysis and design of complex structures with modem isolation systems.

Simple Method for Dynamic Responses of Soil-Pile-Isolated Structure Interaction System

To investigate the effect of soil-pile-structure interaction(SPSI effect)on the dynamic response of a baseisolated structure with buried footings on a pile foundation,certain shake table tests are previously conducted.Based on the test results and the existing related studies,an efficient simplified model and a corresponding calculation method are verified for estimating the dynamic characteristics of a base-isolated structure with buried footings on a pile foundation with the SSI effect.In this method,the solutions by Veletsos and co-workers for a non-isolated structure with the SSI effect are verified and advanced for a base-isolated structure,and the solutions by Maravas and co-workers for a non-isolated structure on a pile foundation are introduced to consider the effect of the piles.By comparison with the shake table test,this work proves that the simplified method can efficiently estimate the dynamic responses of a base-isolated structure with buried footings on a pile foundation.Using parameter analysis,this work also shows that the dynamic characteristics of a non-isolated structure are quite similar to those of the base-isolated structure when the soil foundation is sufficiently soft,which means that the isolation layer gradually loses its isolation function as the soil foundation softens.

Rapid report of seismic damage to hospitals in the 2023 Turkey earthquake sequences

The seismic performance of medical systems is crucial for the seismic resilience of communities.The report summarizes the observed damage to twelve hospital buildings in the area affected by the MW 7.8 and MW 7.5 earthquakes on February 6,2023 in Turkey.They include five base-isolated buildings and seven fixed-base buildings in southcentral Turkey's seven most heavily affected provinces.By relating the post-quake occupancy statuses of the hospitals with the estimated seismic demands during the earthquake doublet,the report offers the following observations:(1)the base-isolated hospital buildings on friction pendulum bearings generally exhibited superior performance of achieving the goal of immediate occupancy and provided better protection for nonstructural elements than fixed-base counterparts did;(2)the fixed-base hospital buildings of reinforced concrete structures constructed after 2001 successfully achieved the goal of collapse prevention even under very high seismic demands;(3)some fixed-base hospitals also remained operational even if they were very close to the fault rupture and were subjected to higher-than-design-level earthquake ground motions.

罕遇地震下高速铁路大跨矮塔斜拉桥减隔震性能研究

为研究不同减隔震装置对高速铁路大跨矮塔斜拉桥的减隔震机理,以某(90+180+90)m矮塔斜拉桥为研究背景,基于非线性时程分析建立有限元模型,研究摩擦摆支座、黏滞阻尼器和减隔震组合装置的减震效果及桥梁的抗震性能。结果表明:罕遇地震作用下,全桥主塔处采用摩擦摆支座和黏滞阻尼器的组合装置可以有效解决抗震问题,优化后选取摩擦系数为0.06、曲率半径为2 m的摩擦摆支座和阻尼系数为12000 kN·(m·s^(-1))-α、阻尼指数α为0.8的黏滞阻尼器;相比于单独使用摩擦摆支座或黏滞阻尼器,减隔震组合装置可大幅度减小全桥各关键截面的内力、桥墩位移及梁端转角,显著提升桥梁的抗震性能,剪力和弯矩的减震率分别达70.85%和76.94%,桥墩墩顶位移减震率达76.08%;各关键截面安全系数均大于1,结构均处于弹性范围,满足桥梁抗震性能的要求。

基于负刚度装置的超长联大跨连续梁桥地震反应控制研究

为完善超长联大跨连续梁桥的减、隔震技术,将负刚度装置引入到超长联大跨隔震连续梁桥中组成新型减、隔震系统,并与黏滞阻尼器-摩擦摆支座组合减震系统进行比较。基于CSiBridge软件建立全桥有限元模型,负刚度装置采用弹性多段线模拟,摩擦摆支座采用双线性恢复力模型,黏滞阻尼器采用Maxwell模型,输入3条地震波进行非线性时程分析,考查两种新型减、隔震系统下桥梁结构的地震反应,探究负刚度系统及黏滞阻尼器系统对超长联大跨连续梁桥地震反应的控制效果。研究结果表明:负刚度装置与黏滞阻尼器均可以有效地减小超长联大跨隔震连续梁桥的支座位移。负刚度装置对桥墩内力反应及梁体加速度反应的控制优于黏滞阻尼器。负刚度装置在超长联大跨连续梁桥地震反应控制中有较好的应用前景。

电磁吸盘-摩擦摆复合隔震支座理论分析与试验研究

为解决摩擦摆支座在外部荷载激励下不具备抗拔性的缺点,基于电磁原理和半主动控制思想,提出了一种以电磁力为基础,结合传统摩擦摆的电磁吸盘-摩擦摆复合隔震支座(Electromagnetic Chuck-Friction Pendulum System,ECFPS)。介绍了该复合隔震支座的构造特点和耗能机制,并基于电磁原理推导出电磁吸盘吸力以及ECFPS的等效刚度、周期和等效阻尼比等理论公式,建立了ECFPS计算模型。设计并制作了一个缩尺比为1∶3的ECFPS试件,对不同输入电流、竖向荷载和不同位移幅值下的滞回性能进行了试验研究,探究了不同输入电流对抗拔性能的影响。试验结果表明:理论值与试验值吻合度较高,验证了理论公式推导的正确性;等效刚度和单位循环耗能变化明显,两者最大变化幅度分别为19.81%和28.16%;随着电磁吸盘输入电流的增大,ECFPS支座的抗拔性能提高,实现了支座竖向抗拔的功能。

基于磁悬浮理论的自适应抗拔摩擦摆隔震支座力学性能研究

为解决摩擦摆隔震支座抗拔能力不足的问题并优化其隔震性能,将传统的摩擦摆支座(FPB)和半主动控制思想相结合,提出一种自适应磁悬浮抗拔摩擦摆隔震支座(AMFPB)。基于磁路理论进行理论分析,推导出U型电磁铁的电磁力公式,以及AMFPB刚度、周期和等效阻尼比计算公式;对U型电磁铁进行位移-电磁力试验分析,建立AMFPB有限元模型,并对不同位移幅值、不同电磁铁匝数和输入电流下支座的滞回特性和抗拔性能进行分析。研究结果表明:U型电磁铁的位移-电磁力试验结果与理论结果吻合度较好,计算得到的AMFPB滞回曲线与数值模拟结果基本相同。AMFPB随滑动位移的增加可调节自身的刚度及耗能,有利于支座位移的控制。

高烈度震区大跨径中承式钢箱系杆拱桥减隔震技术研究

为了研究高强度地震作用下大跨径中承式钢箱系杆拱桥地震响应及减隔震技术,以西双版纳黎明大桥为工程背景,选取类似场地的实际地震动记录作为输入地震波,采用非线性时程分析法,研究支座类型及参数变化对拱桥结构的减隔震效果。结果表明:相比于普通支座,减隔震支座能大幅降低结构内力,但纵向位移有所增加,且摩擦摆支座的减隔震效果要强于铅芯橡胶支座;摩擦摆支座+黏滞阻尼器联合抗震体系能够有效降低纵向和横向位移,进一步能提升桥梁的抗震性能;对联合抗震体系进行参数敏感性分析可知:最佳的参数范围是:摩擦因数为0.04,曲率半径在3 200~4 200 mm,阻尼系数为6 000,阻尼指数在0.2~0.4;在最优抗震体系下,结构位移和内力均显著降低,最大减震率分别达到了75.3%和82.3%,表明该体系大幅提高了拱桥抵抗地震的能力,为同类桥梁减隔震设计提供参考。

高烈度区长联PC连续梁桥减隔震措施分析

为了明确高烈度区长联预应力混凝土(prestressed concrete,PC)连续梁桥滑动摩擦摆式支座的减隔震性能,针对设防烈度为9度的某长联PC连续梁桥,利用CSiBridge软件建立大桥空间梁单元非线性分析模型,以普通球型钢支座地震响应为基准,对比分析铅芯橡胶支座与滑动摩擦摆式支座的减隔震性能,并对滑动摩擦摆式支座的摩擦系数和支座曲率进行参数分析。结果表明:在长联连续梁桥中,相比于铅芯橡胶支座,滑动摩擦摆式支座减隔震效果更好,固定墩内力与变形更小,全桥受力更加均匀合理;对于滑动摩擦摆式支座,摩擦系数越大,长联连续梁固定墩墩底弯矩与墩顶位移越大,摩擦系数变化20%,固定墩墩底弯矩最大值变化约1.67%,墩顶位移极值变化约1.45%;支座曲率半径对长联连续梁地震响应的减隔震性能影响较小,曲率半径增大1.5 m,固定墩墩底弯矩最大值增大约0.97%,固定墩墩顶位移增幅约为0.37%~1.39%。

高速铁路多跨长联矮塔斜拉桥减隔震设计研究

多跨长联连续梁结构存在固定墩地震力大、延性部位震后不易恢复等问题,在高烈度震区抗震设计存在困难。为了解决高速铁路多跨长联矮塔斜拉桥的抗震设计问题,以某(65.65+8×110+65.65) m单索面预应力混凝土矮塔斜拉桥为研究对象,采用非线性时程积分方法,对单固定墩、刚构连续梁和摩擦摆支座隔震3种不同的抗震体系方案进行分析比选。研究结果表明,采用摩擦摆支座隔震体系方案优势明显,在地震作用下,与单固墩体系相比,桥墩横桥向墩底弯矩普遍减小70%以上,固定墩纵桥向墩底弯矩减小约80%;进一步通过摩擦摆隔震支座参数分析,确定了合适的支座参数,获得较好的支座变形量、墩顶剪力,减隔震效果明显。因此,在桥墩剪跨比小、下部结构刚度大的情况下,设置摩擦摆隔震支座后,可显著减小地震时下部结构的地震响应,使各个桥墩受力均匀,同时通过合理的支座设计可满足大震位移需求,并具有足够的自复位能力。