• 제목/요약/키워드: initial stiffness factor

검색결과 39건 처리시간 0.026초

Effective stiffness in regular R/C frames subjected to seismic loads

  • Micelli, Francesco;Candido, Leandro;Leone, Marianovella;Aiello, Maria Antonietta
    • Earthquakes and Structures
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    • 제9권3호
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    • pp.481-501
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    • 2015
  • Current design codes and technical recommendations often provide rough indications on how to assess effective stiffness of Reinforced Concrete (R/C) frames subjected to seismic loads, which is a key factor when a linear analysis is performed. The Italian design code (NTC-2008), Eurocode 8 and ACI 318 do not take into account all the structural parameters affecting the effective stiffness and this may not be on the safe side when second-order $P-{\Delta}$ effects may occur. This paper presents a study on the factors influencing the effective stiffness of R/C beams, columns and walls under seismic forces. Five different approaches are adopted and analyzed in order to evaluate the effective stiffness of R/C members, in accordance with the scientific literature and the international design codes. Furthermore, the paper discusses the outcomes of a parametric analysis performed on an actual R/C building and analyses the main variables, namely reinforcement ratio, axial load ratio, concrete compressive strength, and type of shallow beams. The second-order effects are investigated and the resulting displacements related to the Damage Limit State (DLS) under seismic loads are discussed. Although the effective stiffness increases with steel ratio, the analytical results show that the limit of 50% of the initial stiffness turns out to be the upper bound for small values of axial-load ratio, rather than a lower bound as indicated by both Italian NTC-2008 and EC8. As a result, in some cases the current Italian and European provisions tend to underestimate second-order $P-{\Delta}$ effects, when the DLS is investigated under seismic loading.

기둥-보 휨강도비와 단위하중법을 이용한 철골모멘트골조의 강성설계기법 (Drift Design Method of Steel Moment Frames by using Column-Beam Strength Ratios and Unit-Load Method)

  • 오병관;박효선;최세운
    • 한국전산구조공학회논문집
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    • 제29권6호
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    • pp.563-569
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    • 2016
  • 본 논문에서는 철골모멘트골조의 초기 강성과 연성을 동시에 조절하기 위해 기둥-보 휨강도비를 고려한 재분배 기법이 제시된다. 제시되는 기법은 총 구조물량과 기둥-보 휨강도비에 대한 제약조건을 만족시키면서 구조물의 최상층의 변위를 최소화한다. 고려된 설계변수는 구조부재의 단면적을 사용하며, 정식화된 문제로부터 최적의 결과를 얻기 위해 Sequential Quadratic Programming(SQP) 기법을 사용한다. 최상층의 횡변위에 대한 각 부재의 변위기여도를 단위하중법을 통해 구하고, 이를 최상층의 횡변위가 감소하도록 각 부재의 단면을 재설계한다. 각 부재의 변위기여도를 이용하여 부재의 단면을 재설계하는 과정은 구조물의 초기 강성을 향상시키는 효과를 가진다. 동시에, 제시된 기법은 기둥-보 휨강도비를 제약함으로써 구조물의 연성을 조절하도록 한다. 제시된 최적변위설계기법은 철골골조 예제에 적용하여 적용성을 검증한다. 적용한 결과 제시된 기법을 통해 구조물의 초기강성과 연성능력이 조절되는 것을 확인할 수 있었다.

Numerical study on the walking load based on inverted-pendulum model

  • Cao, Liang;Liu, Jiepeng;Zhang, Xiaolin;Chen, Y. Frank
    • Structural Engineering and Mechanics
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    • 제71권3호
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    • pp.245-255
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    • 2019
  • In this paper, an inverted-pendulum model consisting of a point supported by spring limbs with roller feet is adopted to simulate human walking load. To establish the kinematic motion of first and second single and double support phases, the Lagrangian variation method was used. Given a set of model parameters, desired walking speed and initial states, the Newmark-${\beta}$ method was used to solve the above kinematic motion for studying the effects of roller radius, stiffness, impact angle, walking speed, and step length on the ground reaction force, energy transfer, and height of center of mass transfer. The numerical simulation results show that the inverted-pendulum model for walking is conservative as there is no change in total energy and the duration time of double support phase is 50-70% of total time. Based on the numerical analysis, a dynamic load factor ${\alpha}_{wi}$ is proposed for the traditional walking load model.

Static behavior of stud shear connectors with initial damage in steel-UHPC composite bridges

  • Qi, Jianan;Tang, Yiqun;Cheng, Zhao;Xu, Rui;Wang, Jingquan
    • Advances in concrete construction
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    • 제9권4호
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    • pp.413-421
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    • 2020
  • For steel-concrete girders made composite using shear studs, initial damage on studs induced by weld defect, unexpected overloading, fatigue and others might degrade the service performance and even threaten the structural safety. This paper conducted a numerical study to investigate the static behavior of damaged stud shear connectors that were embedded in ultra high performance concrete (UHPC). Parameters included damage degree and damage location. The material nonlinear behavior was characterized by multi-linear stress-strain relationship and damage plasticity model. The results indicated that the shear strength was not sensitive to the damage degree when the damage occurred at 2/3d (d is the stud diameter) from the stud root. An increased stud area would be engaged in resisting shear force as the distance of damage location from stud root increased and the failure section becomes inclined, resulting in a less reduction in the shear strength and shear stiffness. The reduction factor was proposed to consider the degradation of the shear strength of the damaged stud. The reduction factor can be calculated using two approaches: a linear relationship and a square relationship with the damage degree corresponding to the shear strength dominated by the section area and the nominal diameter of the damaged stud. It was found that the proposed method is preferred to predict the shear strength of a stud with initial damage.

내진성능평가를 위한 비선형 직접스펙트럼법의 특성 (The Properties of a Nonlinear Direct Spectrum Method for Estimating the Seismic Performance)

  • 강병두;김재웅
    • 한국지진공학회논문집
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    • 제6권4호
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    • pp.65-73
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    • 2002
  • 성능에 기초한 설계법에서는 비선형 응답산정이 필수적이며, 이를 위한 방법으로는 비선형시각이력해석법, 비선형 정적해석법, 비선형 효과를 고려한 등가선형해석법 등이 있다. 일부 규준에서는 pushover곡선으로부터 작성한 성능스펙트럼과 선형 응답스펙트럼으로부터 작성한 요구스펙트럼으로 이루어진 능력스펙트럼법을 제안하고 있다. 이 방법은 개념적으로는 간단하나 반복과정이 요구되며, 부정확한 결과를 산출하는 경우가 많다. 이에 따라 시행착오적인 등가선형 스펙트럼대신 비선형스펙트럼을 사용하는 방법들에 대한 연구들이 진행되고 있다. 비선형 요구스펙트럼은 표준적 선형 설계스펙트럼으로부터 결정될 수 있으며, 이 방법은 등가선형의 경우보다는 계산과정이 대폭 줄어들기는 하나 아직도 다소의 연산과정이 요구된다. 따라서 본 연구에서는 다자유도계의 구조물에 대한 pushover곡선으로부터 구조물의 진동주기와 항복강도를 구한 다음, 일련의 계산과정을 거치지 않고도, 직접적으로 비선형 최대응답을 구할 수 있는 비선형 직접스펙트럼법(NDSM)을 제시하극 집중질량계의 MDF(다자유도계) 모델에 대해 다양한 지진기록과 제하강성저하지수를 변수로 하여 NDSM의 적용성과 신뢰성을 평가하고자 한다. 본 연구의 결론은 다음과 같다. 1) 다자유도계 구조물에 대한 비선형 직접스펙트럼법에 의한 최대변위 응답은 비선형 시각이력해석법에 의한 응답과 거의 일치하므로 실용적인 방법으로 사료된다. 2) 비선형 직접스펙트럼법과 비선형 시각이력해석에 의해 산정된 죄상층 변위 결과를 비교하면, 항복후강성계수가 0.1, MAD(modal adaptive distribution)에 의한 수평정적하중분폰 그리고 제하강성저하지수가 0.2~O.3일 때 평균오차가 가장 줄어드는 것으로 나타났다.

토크 변동에 의한 백래시를 가진 헬리컬 기어의 비선형 동적 해석 (Nonlinear Dynamic Analysis of Helical Gears with Backlash by Torque Fluctuation)

  • 박찬일
    • 한국소음진동공학회논문집
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    • 제20권7호
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    • pp.677-684
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    • 2010
  • Backlashes of gears provide gears for good lubrication and for removal of the interference between teeth by the wear and manufacturing errors. The backlash is the strong nonlinear factor to gears. This study deals with nonlinear modeling of helical gears with backlash. Excitation of helical gears comes from torque variation, the tooth surface error, and the periodical change of mesh stiffness. To study the effect of torque fluctuation, equation of motion for the single degree of freedom torsional model of helical gears with the periodical change of mesh stiffness and the backlash was derived. The Newmark beta method and the Newton-Raphson method were used to obtain the nonlinear behaviors of mesh forces of helical gears. All excitation frequencies initially caused the tooth separation and single-sided impacts of the gear pair and eventually led to the normal tooth contact. However, some special excitation frequencies caused the single-sided impacts in the entire time as well as the initial time. Damping increase reduced the duration of single-sided impacts, and the backlash increase caused those in the entire time domain.

벤틸레이티드 디스크 브레이크 로터의 최적설계 (Optimal Design of Ventilated Disc Brake Rotor)

  • 이수기;성부용;하성규
    • 대한기계학회논문집A
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    • 제24권3호
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    • pp.593-602
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    • 2000
  • The shape optimization is performed to minimize the judder of ventilated disc brake rotor that is induced by the thermal deformation of the disc. A three-dimensional finite element is developed to analyze the coupled system of temperature and displacement field, and the thermal conductivity and mechanical stiffness matrices are simultaneously taken into account. To reduce computing time, an equivalent heat transfer rate is introduced approximating the heat transfer rate on the disc surface. A deformation factor is introduced to describe the thermal deformation causing the judder. The deformation factor is chosen as an objective function in the optimization process. Consequently an optimum design is then performed minimizing the deformation factor with the design variables of the shape of the disc. The optimum design procedure presented in this study is proven to be an effective method of minimizing the judder, and it reduces the thermal deformation by 23% of the initial geometry.

Dynamic increase factor for progressive collapse of semi-rigid steel frames with extended endplate connection

  • Huang, Ying;Wu, Yan;Chen, Changhong;Huang, Zhaohui;Yao, Yao
    • Steel and Composite Structures
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    • 제31권6호
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    • pp.617-628
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    • 2019
  • As an extremely destructive accident, progressive collapse is defined as the spread of an initial local failure from element to element, resulting eventually in the collapse of an entire structure or disproportionately large of it. To prevent the occurrence of it and evaluate the ability of structure resisting progressive collapse, the nonlinear static procedure is usually adopted in the whole structure design process, which considered dynamic effect by utilizing Dynamic Increase Factor (DIF). In current researches, the determining of DIF is performed in full-rigid frame, however, the performance of beam-column connection in the majority of existing frame structures is not full-rigid. In this study, based on the component method proposed by EC3 guideline, the expression of extended endplate connection performance is further derived, and the connection performance is taken into consideration when evaluated the performance of structure resisting progressive collapse by applying the revised plastic P-M hinge. The DIF for structures with extended endplate beam-column connection have been determined and compared with the DIF permitted in current GSA guideline, the necessity of considering connection stiffness in determining the DIF have been proved.

부유식 해상풍력발전기 타워의 초기 형상에 따른 공진 해석 (Resonance Analysis According to Initial Tower Design for Floating Offshore Wind Turbine)

  • 김준배;신현경
    • 풍력에너지저널
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    • 제9권4호
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    • pp.57-64
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    • 2018
  • To maximize power generation and reduce the construction cost of a commercial utility-grade wind turbine, the size of the wind turbine should be large. The initial design of the 12 MW University of Ulsan(UOU) Floating Offshore Wind Turbine(FOWT) was carried out based on the 5 MW National Renewable Energy Laboratory(NREL) offshore wind turbine model. The existing 5 MW NREL offshore wind turbines have been expanded to 12 MW UOU FOWT using the geometric law of similarity and then redesigned for each factor. The resonance of the tower is the most important dynamic responses of a wind turbine, and it should be designed by avoiding resonance due to cyclic load during turbine operations. The natural frequency of the tower needs to avoid being within the frequency range corresponding to the rotational speed of the blades, 1P, and the blade passing frequency, 3P. To avoid resonance, vibration can be reduced by modifying the stiffness or mass. The direct expansion of the 5 MW wind turbine support structure caused a resonance problem with the tower of the 12 MW FOWT and the tower length and diameter was adjusted to avoid a match of the first natural frequency and 3P excitation of the tower.

An experiment on compressive profile of the unstiffened steel plate-concrete structures under compression loading

  • Choi, Byong Jeong;Han, Hong Soo
    • Steel and Composite Structures
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    • 제9권6호
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    • pp.519-534
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    • 2009
  • This study intends to examine the characteristics of compressive behavior and conducts comparative analysis between normal compressive strength under existing equations (LRFD, ACI 318, EC 4) and experimental the maximum compressive strength from the compression experiment for the unstiffened steel plate-concrete structures. The six specimens were made to evaluate the constraining factor (${\xi}$) and width ratio (${\beta}$) effects subjected to the compressive monotonic loading. Based on this experiments, the following conclusions could be made: first, compressive behaviors of the specimens from the finite element analysis closely agreed with the ones from the actual experiments; second, the higher the width ratio (${\beta}$) was, the lower the ductility index (DI) was; and third, the test results showed the maximum compressive strength with a margin by 7% compared to the existing codes.