• 제목/요약/키워드: equivalent linear damping

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Effects on amplification of strong ground motion due to deep soils

  • Jakka, Ravi S.;Hussain, Md.;Sharma, M.L.
    • Geomechanics and Engineering
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    • 제8권5호
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    • pp.663-674
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    • 2015
  • Many seismically vulnerable regions in India and worldwide are located on deep soil deposits which extend to several hundred meters of depth. It has been well recognized that the earthquake shaking is altered by geological conditions at the location of building. As seismic waves propagates through uppermost layers of soil and rock, these layers serve as filter and they can increase the duration and amplitude of earthquake motion within narrow frequency bands. The amplification of these waves is largely controlled by mechanical properties of these layers, which are function of their stiffness and damping. Stiffness and damping are further influenced by soil type and thickness. In the current study, an attempt has been made to study the seismic site response of deep soils. Three hypothetical homogeneous soil models (e.g., soft soil, medium soil and hard soil) lying on bedrock are considered. Depth of half space is varied from 30 m to 2,000 m in this study. Controlled synthetic motions are used as input base motion. One dimensional equivalent linear ground response analyses are carried out using a computer package DEEPSOIL. Conventional approach of analysing up to 30 m depth has been found to be inadequate for deep soil sites. PGA values are observed to be higher for deeper soil profiles as compared to shallow soil profiles indicating that deeper soil profiles are more prone to liquefaction and other related seismic hazards under earthquake ground shaking. The study recommends to deal the deeper soil sections more carefully for estimating the amplification factors for seismic hazard assessment at the surface.

Modelling aspects of the seismic response of steel concentric braced frames

  • D'Aniello, M.;La Manna Ambrosino, G.;Portioli, F.;Landolfo, R.
    • Steel and Composite Structures
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    • 제15권5호
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    • pp.539-566
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    • 2013
  • This paper summarises the results of a numerical study on the non linear response of steel concentric braced frames under monotonic and cyclic loads, using force-based finite elements with section fibre discretisation. The first part of the study is addressed to analyse the single brace response. A parametric analysis was carried out and discussed to evaluate the accuracy of the model, examining the influence of the initial camber, the material modelling, the type of force-based element, the number of integration points and the number of fibers. The second part of the paper is concerned with the modelling issues of whole braced structures. The effectiveness of the modelling approach is verified against the nonlinear static and dynamic behaviour of different type of bracing configurations. The model sensitivity to brace-to-brace interaction and the capability of the model to mimic the response of complex bracing systems is analyzed. The influence of different approaches for modelling the inertia, the equivalent viscous damping and the brace hysteretic response on the overall structural response are also investigated. Finally, on the basis of the performed numerical study general modelling recommendations are proposed.

Round Robin Test 기법을 통한 다양한 지반응답해석 접근법 비교 연구 (A Comparative Study of Various Approaches of Seismic Ground Response Analyses by Using a Round Robin Test Methodology)

  • 김진만;박요환;김기석;박두희;선창국;김성렬
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2007년 가을학술발표회
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    • pp.259-265
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    • 2007
  • The technical committee of Soil Dynamics and Geotechnical Earthquake Engineering of Korean Geotechnical Socity has conducted Round Robin Test(RRT) on seismic ground response analyses in 2007. Total 14 participating teams were given exact same soil information of three sites and three input ground motions including two recorded ground motions and one synthetic ground motion. Each team selected its own analysis method and approaches to perform ground response analyses. There were equivalent linear, nonlinear total stress, and nonlinear effective stress approaches, which could be selected. The results from RRT were systematically analyzed and dispersion and variation due to analysis methods, input ground motions, shear velocity profiles, shear modulus reduction curves, damping curves, and other input data are reported by the companion papers.

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Vibration isolation with smart fluid dampers: a benchmarking study

  • Batterbee, D.C.;Sims, N.D.
    • Smart Structures and Systems
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    • 제1권3호
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    • pp.235-256
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    • 2005
  • The non-linear behaviour of electrorheological (ER) and magnetorheological (MR) dampers makes it difficult to design effective control strategies, and as a consequence a wide range of control systems have been proposed in the literature. These previous studies have not always compared the performance to equivalent passive systems, alternative control designs, or idealised active systems. As a result it is often impossible to compare the performance of different smart damper control strategies. This article provides some insight into the relative performance of two MR damper control strategies: on/off control and feedback linearisation. The performance of both strategies is benchmarked against ideal passive, semi-active and fully active damping. The study relies upon a previously developed model of an MR damper, which in this work is validated experimentally under closed-loop conditions with a broadband mechanical excitation. Two vibration isolation case studies are investigated: a single-degree-of-freedom mass-isolator, and a two-degree-of-freedom system that represents a vehicle suspension system. In both cases, a variety of broadband mechanical excitations are used and the results analysed in the frequency domain. It is shown that although on/off control is more straightforward to implement, its performance is worse than the feedback linearisation strategy, and can be extremely sensitive to the excitation conditions.

Passive control of seismically excited structures by the liquid column vibration absorber

  • Konar, Tanmoy;Ghosh, Aparna Dey
    • Structural Engineering and Mechanics
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    • 제36권5호
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    • pp.561-573
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    • 2010
  • The potential of the liquid column vibration absorber (LCVA) as a seismic vibration control device for structures has been explored in this paper. In this work, the structure has been modeled as a linear, viscously damped single-degree-of-freedom (SDOF) system. The governing differential equations of motion for the damper liquid and for the coupled structure-LCVA system have been derived from dynamic equilibrium. The nonlinear orifice damping in the LCVA has been linearized by a stochastic equivalent linearization technique. A transfer function formulation for the structure-LCVA system has been presented. The design parameters of the LCVA have been identified and by applying the transfer function formulation the optimum combination of these parameters has been determined to obtain the most efficient control performance of the LCVA in terms of the reduction in the root-mean-square (r.m.s.) displacement response of the structure. The study has been carried out for an example structure subjected to base input characterized by a white noise power spectral density function (PSDF). The sensitivity of the performance of the LCVA to the coefficient of head loss and to the tuning ratio have also been examined and compared with that of the liquid column damper (LCD). Finally, a simulation study has been carried out with a recorded accelerogram, to demonstrate the effectiveness of the LCVA.

Snap back testing of unbonded post-tensioned concrete wall systems

  • Twigden, Kimberley M.;Henry, Richard S.
    • Earthquakes and Structures
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    • 제16권2호
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    • pp.209-219
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    • 2019
  • Unbonded Post-Tensioned (UPT) precast concrete systems have been shown to provide excellent seismic resistance. In order to improve understanding of the dynamic response of UPT systems, a series of snap back tests on four UPT systems was undertaken consisting of one Single Rocking Wall (SRW) and three Precast Wall with End Columns (PreWEC) systems. The snap back tests provided both a static pushover and a nonlinear free vibration response of a system. As expected the SRW exhibited an approximate bi-linear inertia force-drift response during the free vibration decay and the PreWEC walls showed an inertia force-drift response with increased strength and energy dissipation due to the addition of steel O-connectors. All walls exhibited negligible residual drifts regardless of the number of O-connectors or the post-tensioning force. When PreWEC systems of the same strength were compared the inclusion of further energy dissipating O-connectors was found to decrease the measured peak wall acceleration. Both the local and global wall parameters measured at pseudo-static and dynamic loading rates showed similar behaviour, which demonstrates that the dynamic behaviour of UPT walls is well represented by pseudo-static tests. The SRW was found to have Equivalent Viscous Damping (EVD) between 0.9-3.8% and the three PreWEC walls were found to have maximum EVD of between 14.7-25.8%.

Stability behavior of the transmission line system under incremental dynamic wind load

  • Sarmasti, Hadi;Abedi, Karim;Chenaghlou, Mohammad Reza
    • Wind and Structures
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    • 제31권6호
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    • pp.509-522
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    • 2020
  • Wind load is the principal cause for a large number of the collapse of transmission lines around the world. The transmission line is traditionally designed for wind load according to a linear equivalent method, in which dynamic effects of wind are not appropriately included. Therefore, in the present study, incremental dynamic analysis is utilized to investigate the stability behavior of a 400 kV transmission line under wind load. In that case, the effects of vibration of cables and aerodynamic damping of cables were considered on the stability behavior of the transmission line. Superposition of the harmonic waves method was used to calculate the wind load. The corresponding wind speed to the beginning of the transmission line collapse was determined by incremental dynamic analysis. Also, the effect of the yawed wind was studied to determine the critical attack angle by the incremental dynamic method. The results show the collapse mechanisms of the transmission line and the maximum supportable wind speed, which is predicted 6m/s less than the design wind speed of the studied transmission line. Based on the numerical modeling results, a retrofitting method has been proposed to prevent failure of the tower members under design wind speed.

Thermomechanical and electrical resistance characteristics of superfine NiTi shape memory alloy wires

  • Qian, Hui;Yang, Boheng;Ren, Yonglin;Wang, Rende
    • Smart Structures and Systems
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    • 제30권2호
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    • pp.183-193
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    • 2022
  • Structural health monitoring and structural vibration control are multidisciplinary and frontier research directions of civil engineering. As intelligent materials that integrate sensing and actuation capabilities, shape memory alloys (SMAs) exhibit multiple excellent characteristics, such as shape memory effect, superelasticity, corrosion resistance, fatigue resistance, and high energy density. Moreover, SMAs possess excellent resistance sensing properties and large deformation ability. Superfine NiTi SMA wires have potential applications in structural health monitoring and micro-drive system. In this study, the mechanical properties and electrical resistance sensing characteristics of superfine NiTi SMA wires were experimentally investigated. The mechanical parameters such as residual strain, hysteretic energy, secant stiffness, and equivalent damping ratio were analyzed at different training strain amplitudes and numbers of loading-unloading cycles. The results demonstrate that the detwinning process shortened with increasing training amplitude, while austenitic mechanical properties were not affected. In addition, superfine SMA wires showed good strain-resistance linear correlation, and the loading rate had little effect on their mechanical properties and electrical resistance sensing characteristics. This study aims to provide an experimental basis for the application of superfine SMA wires in engineering.

쿨롱마찰을 갖는 단자유도계의 자유진동응답에 관한 닫힌 해 (Closed-Form Solutions to Free Vibration Response of Single Degree of Freedom Systems with Coulomb Friction)

  • 이성경
    • 한국전산구조공학회논문집
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    • 제33권1호
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    • pp.9-16
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    • 2020
  • 본 연구는 쿨롱마찰을 갖는 동적시스템의 기초적인 연구로써 단자유도계의 자유진동응답에 대한 닫힌 해를 제공하는 것을 목적으로 한다. 쿨롱마찰을 포함하는 동적시스템의 운동방정식은 운동방향에 따른 마찰력의 부호변화로 인하여 비선형 미분방정식의 형태로 표현되기 때문에 닫힌 형태의 해를 얻기가 매우 어려운 특성이 있다. 이를 해결하기 위한 기존의 방법으로는 수치적분법에 의해 비선형 미분방정식을 직접 계산하거나 또는, 쿨롱마찰에 의한 감쇠효과를 등가점성감쇠로 치환한 선형 미분방정식을 이용하여 간접적으로 해를 구하는 방법이 사용되고 있다. 그러나 이러한 방법들은 수학적인 측면에서 닫힌 해를 제공하지 않는다. 따라서 본 연구에서는 운동방정식에서 반주기 구간마다 반전되는 마찰력의 부호변화를 고려하고, 이를 멱급수를 이용하여 전 구간으로 확장시킴으로써 쿨롱마찰을 고려한 단자유도계의 자유진동응답에 대해서 수학적으로 닫힌 해를 유도하였다. 또한, 마찰력의 크기가 강성에 의한 복원력의 크기보다 커지는 순간에 자유진동 운동이 정지하는 조건을 이용함으로써 주어진 초기조건에 대해서 예측되는 자유진동 반주기의 수와 운동이 정지하는 순간의 정확한 응답 값을 제안하였다

Tuned liquid column dampers with adaptive tuning capacity for structural vibration control

  • Shum, K.M.;Xu, Y.L.
    • Structural Engineering and Mechanics
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    • 제20권5호
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    • pp.543-558
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    • 2005
  • The natural frequencies of a long span bridge vary during its construction and it is thus difficult to apply traditional tuned liquid column dampers (TLCD) with a fixed configuration to reduce bridge vibration. The restriction of TLCD imposed by frequency tuning requirement also make it difficult to be applied to structure with either very low or high natural frequency. A semi-active tuned liquid column damper (SATLCD), whose natural frequency can be altered by active control of liquid column pressure, is studied in this paper. The principle of SATLCD with adaptive tuning capacity is first introduced. The analytical models are then developed for lateral vibration of a structure with SATLCD and torsional vibration of a structure with SATLCD, respectively, under either harmonic or white noise excitation. The non-linear damping property of SATLCD is linearized by an equivalent linearization technique. Extensive parametric studies are finally carried out in the frequency domain to find the beneficial parameters by which the maximum vibration reduction can be achieved. The key parameters investigated include the distance from the centre line of SATLCD to the rotational axis of a structure, the ratio of horizontal length to the total length of liquid column, head loss coefficient, and frequency offset ratio. The investigations demonstrate that SATLCD can provide a greater flexibility for its application in practice and achieve a high degree of vibration reduction. The sensitivity of SATLCD to the frequency offset between the damper and structure can be improved by adapting its frequency precisely to the measured structural frequency.