• 제목/요약/키워드: Hardening Stiffness

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EQS 면진장치의 항복 후 강성을 고려한 면진 원전구조물의 지진응답 (Seismic Responses of Seismically Isolated Nuclear Power Plant Structure Considering Post-Yield Stiffness of EQS Bearing)

  • 김병수;송종걸
    • 한국지진공학회논문집
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    • 제20권5호
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    • pp.319-329
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    • 2016
  • The Eradi Quake System (EQS) is a seismic isolation bearing system designed to minimize forces and displacements experienced by structures subjected to ground motion. The EQS dissipates seismic energy through friction of Poly Tetra Fluoro Ethylene (PTFE) disk pad. In general, a force-displacement relationship of EQS has post yield stiffness hardening during large inelastic displacement. In this study, seismic responses of seismically isolated nuclear power plant (NPP) subjected to design basis earthquake (DBE) and beyond design basis earthquakes (150% DBE and 167% DBE) are compared considering the post yield stiffness hardening effect of EQS. From the results, it can be observed that if the post-yield stiffness hardening effect of EQS is increased, the displacement response of EQS is reduced, and the acceleration and shear responses of containment structures of NPP is increased.

Softening and hardening tuned mass dampers

  • Khalili, Mohammad Khalil;Badamchi, Karim
    • Earthquakes and Structures
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    • 제14권5호
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    • pp.459-465
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    • 2018
  • Reducing response of buildings during earthquakes by mass dampers, has been examined in many articles and books. Nowadays, many researchers are trying to realistically examine this type of dampers by new methods of performance. In this paper, for the better study of tuned mass damper (TMD), two schematic models are presented for a passive TMD with softening stiffness (softening TMD) and a passive TMD with hardening stiffness (hardening TMD). Then by modeling and analysis of the damper on a single degree of freedom (SDOF) structure and an 11-story steel building, the dampers performance was evaluated. State space was used for damper and structure modeling and to solve nonlinear equations, the Newton-Raphson method was used. The results show that when the structure is subjected to the Chi-Chi earthquake, response of the sixth floor in the system without TMD reduces 54.0% in comparison to the structure with softening TMD. This percentage of reduction for hardening TMD is 55.0%. Also for the Tabas earthquake, reduction in the RMS acceleration of the sixth floor in the system with hardening TMD is 96.2% more than the structure without TMD. This percentage of reduction for hardening TMD is 96.3%.

A stability factor for structure-dependent time integration methods

  • Shuenn-Yih Chang;Chiu-Li Huang
    • Structural Engineering and Mechanics
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    • 제87권4호
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    • pp.363-373
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    • 2023
  • Since the first family of structure-dependent methods can simultaneously integrate unconditional stability and explicit formulation in addition to second order accuracy, it is very computationally efficient for solving inertial problems except for adopting auto time-stepping techniques due to no nonlinear iterations. However, an unusual stability property is first found herein since its unconditional stability interval is drastically different for zero and nonzero damping. In fact, instability might occur for solving a damped stiffness hardening system while an accurate result can be obtained for the corresponding undamped stiffness hardening system. A technique of using a stability factor is applied to overcome this difficulty. It can be applied to magnify an unconditional stability interval. After introducing this stability factor, the formulation of this family of structure-dependent methods is changed accordingly and thus its numerical properties must be re-evaluated. In summary, a large stability factor can result in a large unconditional stability interval but also lead to a large relative period error. As a consequence, a stability factor must be appropriately chosen to have a desired unconditional stability interval in addition to an acceptable period distortion.

피로효과를 고려한 레일패드 스프링계수 변화에 따른 콘크리트 슬래브 궤도의 거동분석 (A Behavior Analysis of HSR concrete slab track under Variety of Rail pad stiffness on fatigue effect)

  • 엄맥;최정열;천대성;박용걸
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2007년도 춘계학술대회 논문집
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    • pp.340-350
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    • 2007
  • The major objective of this study is to investigate the fatigue effects of rail pad on High Speed Railway with concrete slab track system. It analyzed the mechanical behaviors of HSR concrete slab track with applying rail pad stiffness based on fatigue effect(hardening and increasing stiffness) on the 3-dimensional FE analysis and laboratory test for static & dynamic characteristics. As a result, the hardening of rail pad due to fatigue loading condition are negative effect for the static & dynamic response of concrete slab track which is before act on fatigue effect. The analytical and experimental study are carried out to investigate rail pad on fatigue effected increase vertical acceleration and stress and decrease suitable deflection on slab track. And rail pad based on fatigue effect induced dynamic maximum stresses, the increase of damage of slab track is predicted by adopting fatigue effected rail pad. after due consideration The servicing HSR concrete slab track with resilient track system has need of the reasonable determination after due consideration fatigue effect of rail pad stiffness which could be reducing the effect of static and dynamic behavior that degradation phenomenon of structure by an unusual response characteristic and a drop durability.

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레일패드의 경화에 따른 궤도의 동적응답 변화 특성 분석 (Dynamic responses of track according to the hardening of rail-pad)

  • 윤태형;최진유;양신추;김은
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2006년도 추계학술대회 논문집
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    • pp.454-459
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    • 2006
  • A wheel force becomes large as increasing the stiffness of rail-pad, and it accelerates the deterioration of track, and it leads the maintenance cost rising. So, it is required to determine an appropriate replacement period for rail-pad. As a preliminary study to determine it, a numerical analysis was conducted to investigate the influence on a track behavior by the hardening of rail-pad. From the analysis, one knows that the dynamic wheel force is vary depend on the stiffness of rail-pad and the running speed of vehicle, the displacement and acceleration of rail is decreasing as increasing stiffness of rail-pad, and the displacement and acceleration increased in proportion to the rail-pad stiffness increasing.

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Seismic Response Analyses of Seismically Isolated Structures Using the Laminated Rubber Bearings

  • Koo, Gyeong-Hoi;Lee, Jae-Han;Bong Yoo
    • Nuclear Engineering and Technology
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    • 제30권5호
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    • pp.387-395
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    • 1998
  • In general, the laminated rubber bearing (LRB), a composite structure laminated with the elastic rubber and steel plates, has a complex hysteretic nonlinear characteristics in relationships between the restoring force and shear deflection. The representative nonlinear characteristics of LRB include the change of hysteresis loop with cyclic shear deflections and the hardening effects at large shear deflection regions. Changes of the hysteresis loop of LRB with cyclic shear deflections affect the horizontal stiffness and the damping characteristics. The hardening behavior of LRB in large shear deflection region results in an increased horizontal stiffness and therefore, has a great impacton the seismic responses. In this paper, the seismic response analysis is carried out using the modified hysteretic bi-linear model of LRB, which takes into account the hysteresis loop change and the hardening behavior with cyclic shear deflection. The results on seismic responses are compared with those obtained using the widely used hysteretic hi-linear model. The new model is found to reveal the greater amount of peak acceleration response.

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A hybrid MC-HS model for 3D analysis of tunnelling under piled structures

  • Zidan, Ahmed F.;Ramadan, Osman M.
    • Geomechanics and Engineering
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    • 제14권5호
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    • pp.479-489
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    • 2018
  • In this paper, a comparative study of the effects of soil modelling on the interaction between tunnelling in soft soil and adjacent piled structure is presented. Several three-dimensional finite element analyses are performed to study the deformation of pile caps and piles as well as tunnel internal forces during the construction of an underground tunnel. The soil is modelled by two material models: the simple, yet approximate Mohr Coulomb (MC) yield criterion; and the complex, but reasonable hardening soil (HS) model with hyperbolic relation between stress and strain. For the former model, two different values of the soil stiffness modulus ($E_{50}$ or $E_{ur}$) as well as two profiles of stiffness variation with depth (constant and linearly increasing) were used in attempts to improve its prediction. As these four attempts did not succeed, a hybrid representation in which the hardening soil is used for soil located at the highly-strained zones while the Mohr Coulomb model is utilized elsewhere was investigated. This hybrid representation, which is a compromise between rigorous and simple solutions yielded results that compare well with those of the hardening soil model. The compared results include pile cap movements, pile deformation, and tunnel internal forces. Problem symmetry is utilized and, therefore, one symmetric half of the soil medium, the tunnel boring machine, the face pressure, the final tunnel lining, the pile caps, and the piles are modelled in several construction phases.

Numerical modeling of soil nail walls considering Mohr Coulomb, hardening soil and hardening soil with small-strain stiffness effect models

  • Ardakani, Alireza;Bayat, Mahdi;Javanmard, Mehran
    • Geomechanics and Engineering
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    • 제6권4호
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    • pp.391-401
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    • 2014
  • In an attempt to make a numerical modeling of the nailed walls with a view to assess the stability has been used. A convenient modeling which can provide answers to nearly situ conditions is of particular significance and can significantly reduce operating costs and avoid the risks arising from inefficient design. In the present study, a nailing system with a excavation depth of 8 meters has been modeled and observed by using the three constitutive behavioral methods; Mohr Coulomb (MC), hardening soil (HS) and hardening soil model with Small-Strain stiffness ensued from small strains (HSS). There is a little difference between factor of safety and the forces predicted by the three models. As extremely small lateral deformations exert effect on stability and the overall deformation of a system, the application of advanced soil model is essential. Likewise, behavioral models such as HS and HSS realize lower amounts of the heave of excavation bed and lateral deformation than MC model.

Nonlinear impact of negative stiffness dampers on stay cables

  • Shi, Xiang;Zhu, Songye
    • Structural Monitoring and Maintenance
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    • 제5권1호
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    • pp.15-38
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    • 2018
  • Negative stiffness dampers (NSDs) have been proven an efficient solution to vibration control of stay cables. Although previous studies usually assumed a linear negative stiffness behavior of NSDs, many negative stiffness devices produce negative stiffness with nonlinear behavior. This paper systematically evaluates the impact of nonlinearity in negative stiffness on vibration control performance for stay cables. A linearization method based on energy equivalent principle is proposed, and subsequently, the impact of two types of nonlinear stiffness, namely, displacement hardening and softening stiffness, is evaluated. Through the Hilbert transform (HT) of free vibration responses, the effects of nonlinear stiffness of an NSD on the modal frequencies, damping ratios and frequency response functions of a stay cable is also investigated. The HT analysis results validate the accuracy of the linearization method.

피로효과를 고려한 레일패드의 정적스프링계수 변화에 따른 콘크리트 슬래브 제도의 거동분석 (A Behavior Analysis of HSR Concrete Slab Track under Variety of Rail Pad Static Stiffness on Fatigue Effect)

  • 박용걸;강기동;최정열
    • 한국철도학회논문집
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    • 제10권5호
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    • pp.499-505
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    • 2007
  • 본 연구의 주목적은 고속선 콘크리트 슬래브 궤도시스템에서 레일패드의 피로효과에 따른 영향을 분석하는 데에 있다. 이에 3차원 해석모델 및 실내시험을 통해 도출된 레일패드의 피로효과(경화, 스프링계수 증가)가 고속선 궤도의 역학적 거동에 미치는 영향을 분석하였다. 본 연구에서는 콘크리트 슬래브 궤도의 적정 탄성력 확보여부를 의미하는 레일패드의 적정스프링계수 산정에 관한 연구의 일환으로 고속철도 콘크리트 슬래브 궤도에 적용된 레일체결시스템에 대한 실내시험을 통한 레일패드의 정적스프링계수를 산정하고 체결시스템에 대한 피로시험을 통해 도출된 피로효과가 고려된 레일패드의 스프링계수 변화를 해석모델에 적용함으로써 향후 고속선 콘크리트 슬래브 궤도운영에서의 열차 주행안정성 확보 및 합리적인 궤도유지관리를 위한 기초데이터를 확보하고자 한다.