• 제목/요약/키워드: ratio of torsion

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Ratio of Torsion (ROT): An index for assessing the global induced torsion in plan irregular buildings

  • Stathi, Chrysanthi G.;Bakas, Nikolaos P.;Lagaros, Nikos D.;Papadrakakis, Manolis
    • Earthquakes and Structures
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    • 제9권1호
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    • pp.145-171
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    • 2015
  • Due to earthquakes, many structures suffered extensive damages that were attributed to the torsional effect caused by mass, stiffness or strength eccentricity. Due to this type of asymmetry torsional moments are generated that are imposed by means of additional shear forces developed at the vertical resisting structural elements of the buildings. Although the torsional effect on the response of reinforced concrete buildings was the subject of extensive research over the last decades, a quantitative index measuring the amplification of the shear forces developed at the vertical resisting elements due to lateral-torsional coupling valid for both elastic and elastoplastic response states is still missing. In this study a reliable index capable of assessing the torsional effect is proposed. The performance of the proposed index is evaluated and its correlation with structural response quantities like displacements, interstorey drift, base torque, shear forces and upper diaphragm's rotation is presented. Torsionally stiff, mass eccentric single-story and multistory structures, subjected to bidirectional excitation, are considered and nonlinear dynamic analyses are performed using natural records selected for three hazard levels. It was found that the proposed index provides reliable prediction of the magnitude of torsional effect for all test examples considered.

Seismic responses of asymmetric steel structures isolated with the TCFP subjected to mathematical near-fault pulse models

  • Tajammolian, H.;Khoshnoudian, F.;Bokaeian, V.
    • Smart Structures and Systems
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    • 제18권5호
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    • pp.931-953
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    • 2016
  • In this paper, the effects of mass eccentricity of superstructure as well as stiffness eccentricity of isolators on the amplification of seismic responses of base-isolated structures are investigated by using mathematical near-fault pulse models. Superstructures with 3, 6 and 9 stories and aspect ratios equal to 1, 2 and 3 are mounted on a reasonable variety of Triple Concave Friction Pendulum (TCFP) bearings considering different period and damping ratio. Three-dimensional linear superstructure mounted on nonlinear isolators are subjected to simplified pulses including fling step and forward directivity while various pulse period ($T_p$) and Peak Ground Velocity (PGV) amounts as two crucial parameters of these pulses are scrutinized. Maximum isolator displacement and base shear as well as peak superstructure acceleration and drift are selected as the main engineering demand parameters. The results indicate that the torsional intensification of different demand parameters caused by superstructure mass eccentricity is more significant than isolator stiffness eccentricity. The torsion due to mass eccentricity has intensified the base shear of asymmetric 6-story model 2.55 times comparing to symmetric one. In similar circumstances, the isolator displacement and roof acceleration are increased 49 and 116 percent respectively in the presence of mass eccentricity. Furthermore, it is demonstrated that torsional effects of mass eccentricity can force the drift to reach the allowable limit of ASCE 7 standard in the presence of forward directivity pulses.

Extending torsional balance concept for one and two way asymmetric structures with viscous dampers

  • Amir Shahmohammadian;Mohammad Reza Mansoori;Mir Hamid Hosseini;Negar Lotfabadi Bidgoli
    • Earthquakes and Structures
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    • 제25권6호
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    • pp.417-427
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    • 2023
  • If the center of mass and center of stiffness or strength of a structure plan do not coincide, the structure is considered asymmetric. During an earthquake, in addition to lateral vibration, the structure experiences torsional vibration as well. Lateraltorsional coupling in asymmetric structures in the plan will increase lateral displacement at the ends of the structure plan and, as a result, uneven deformation demand in seismically resistant frames. The demand for displacement in resistant frames depends on the magnitude of transitional displacement to rotational displacement in the plan and the correlation between these two. With regard to the inability to eliminate the asymmetrical condition due to various reasons, such as architectural issues, this study has attempted to use supplemental viscous dampers to decrease the correlation between lateral and torsional acceleration or displacement in the plan. This results in an almost even demand for lateral deformation and acceleration of seismic resistant frames. On this basis, using the concept of Torsional Balance, adequate distribution of viscous dampers for the decrease of this correlation was determined by transferring the "Empirical Center of Balance" (ECB) to the geometrical center of the structure plan and thus obtaining an equal mean square value of displacement and acceleration of the plan edges. This study analyzed stiff and flexible torsional structures with one-way and two-way mass asymmetry in the Opensees software. By implementing the Particle Swarm Optimization (PSO) algorithm, the optimum formation of dampers for controlling lateral displacement and acceleration is determined. The results indicate that with the appropriate distribution of viscous dampers, not only does the lateral displacement and acceleration of structure edges decrease but the lateral displacement or acceleration of the structure edges also become equal. It is also observed that the optimized center of viscous dampers for control of displacement and acceleration of structure depends on the amount of mass eccentricity, the ratio of uncoupled torsional-to-lateral frequency, and the amount of supplemental damping ratio. Accordingly, distributions of viscous dampers in the structure plan are presented to control the structure's torsion based on the parameters mentioned.

아라미드 섬유시트로 기둥 보강된 필로티 구조물의 내진성능 평가 (Seismic Performance of Piloti-Type Structures with Columns Strengthened with Aramid Fiber Sheets)

  • 양근혁;문주현;임채림;노광근
    • 한국구조물진단유지관리공학회 논문집
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    • 제27권6호
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    • pp.201-210
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    • 2023
  • 이 연구의 목적은 필로티 건축물에서 아라미드 섬유시트의 연성보강 효과를 평가하는데에 있다. 필로티 구조물은 총 2개가 제작되었으며, 반복 횡하중 정적 실험으로 휨 거동을 평가하였다. 연성보강 효과는 횡하중-변위관계, 변위연성비, 일손상지수 및 비틀림 거동으로부터 검증되었다. 실험결과 기둥이 아라미드 섬유시트로 보강된 필로티 건축물은 최대하중 이후 기둥에서 효과적인 구속효과로 전단파괴 방지 및 비틀림이 최소화되었으며, 전반적으로 연성적인 거동을 보였다. 결과적으로 기둥이 아라미드 섬유시트로 보강된 필로티 건축물의 변위연성비 및 일손상지수는 보강되지 않은 필로티 건축물보다 각각 4.63배 및 42.81배 높았다.

순수비틀림을 받는 철근콘크리트 보의 비틀림 강도와 파괴모드 (Torsional Strength and Failure Modes of Reinforced Concrete Beams Subjected to Pure Torsion)

  • 이정윤;김상우;김지현
    • 콘크리트학회논문집
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    • 제20권4호
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    • pp.503-511
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    • 2008
  • 이 논문에서는 순수비틀림을 받는 철근콘크리트 보의 비틀림 성능에 관한 해석적 실험적 연구 결과를 나타내었다. 주요 실험변수는 비틀림 보강근의 양과 비틀림 각도 즉, 종방향 비틀림 보강근에 대한 횡방향 비틀림 보강근의 비이다. 실험에 의하면 ACI 318-05 기준식은 최대 비틀림 보강근의 양을 약 2배 과소평가하였다. 비틀림 보강근이 항복한 후에 파괴하는 102개 철근콘크리트 보의 실험 결과와 비교한 결과, ACI 318-05 기준식은 파괴모드가 변화하는 구간에서 비틀림 파괴모드를 정확하게 예측하지 못하였다. 또한, ACI 318-05 비틀림 기준식은 비틀림 보강근량이 상대적으로 많이 보강된 철근콘크리트 보의 경우 비틀림 강도를 과대평가하는 반면, 비틀림 보강근량이 작은 경우에는 실제 비틀림모멘트를 과소평가하였다. 실험 결과와 ACI 318-05 기준식 사이의 이러한 불일치는 기준식에서 비틀림 보강근의 인장증강효과와 콘크리트의 비틀림 강도에 대한 기여를 무시하고 있기 때문으로 판단된다.

Free vibrations of inclined arches using finite elements

  • Chucheepsakul, Somchai;Saetiew, Wasuroot
    • Structural Engineering and Mechanics
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    • 제13권6호
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    • pp.713-730
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    • 2002
  • This paper presents a finite element approach for determining the natural frequencies for planar inclined arches of various shapes vibrating in three-dimensional space. The profile of inclined arches, represented by undeformed centriodal axis of cross-section, is defined by the equation of plane curves expressed in the rectangular coordinates which are : circular, parabolic, sine, elliptic, and catenary shapes. In free vibration state, the arch is slightly displaced from its undeformed position. The linear relationship between curvature-torsion and axial strain is expressed in terms of the displacements in three-dimensional space. The finite element discretization along the span length is used rather than the total are length. Numerical results for arches of various shapes are given and they are in good agreement with those reported in literature. The natural frequency parameters and mode shapes are reported as functions of two nondimensional parameters: the span to cord length ratio (e) and the rise to cord length ratio (f).

Experimental evaluation on the seismic performance of high strength thin-walled composite members accounting for sectional aspect ratio effect

  • Hsu, H.L.;Juang, J.L.;Luo, K.T.
    • Steel and Composite Structures
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    • 제9권4호
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    • pp.367-380
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    • 2009
  • This study focuses on the experimental evaluation of the flexural-torsional performance of high strength thin-walled composite members. A series of tests on composite members with various sectional aspect ratios subjected to eccentric cyclic loads were conducted. Test results show that the composite member's torsional strength could be approximated using a series of linear segments and evaluated using the superposition of the component steel and reinforced concrete responses. It is also validated from the tests that the strength deterioration of members subjected to combined loads is closely related to the aspect ratios of the sections. An interaction expression between the bending and torsion for high strength thin-walled composite members is proposed for engineering practice references.

Validation of Loads Analysis for a Slowed Rotor at High Advance Ratios

  • Park, Jae-Sang
    • International Journal of Aeronautical and Space Sciences
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    • 제18권3호
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    • pp.498-511
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    • 2017
  • This work conducts a validation study for loads analysis of the UH-60A slowed rotor at high advance ratios. The nonlinear flexible multibody dynamics analysis code, DYMORE II, is used with a freewake model for the rotorcraft comprehensive analysis. Wind tunnel test data of airloads and structural loads of a full-scale UH-60A slowed rotor are used for this validation study. This analysis predicts well the thrust reversal phenomenon at the advance ratio of 1.0. The section airloads such as normal forces and pitching moments and the oscillatory blade structural moments in this analysis are compared well or moderately with the measured data, although the higher harmonics components of blade torsion moments are not captured well. This validation study assesses the prediction accuracy and investigates the unique aeromechanics characteristics of a slowed rotor at high advance ratio.

Modified Equivalent Radius Approach for Soil Damping Measurement in Torsional Testing

  • Bae, Yoon-Shin
    • 한국방재학회 논문집
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    • 제8권2호
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    • pp.39-43
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    • 2008
  • Determination of strain associated with shear modulus and damping ratio during torsional test is complicated. This is due to nonuniform stress-strain variation occurring linearly with radius in a soil specimen in torsion. A conventional equivalent radius approach proposed by Chen and Stokoe appears to be adequate for evaluating strain associated with shear modulus at low to intermediate strain levels. This approach is less accurate for damping measurement, particularly at high strain. Modified equivalent radius approach was used to account for the nonuniform stress-strain effect more precisely. The modified equivalent radius approach was applied for hyperbolic, modified hyperbolic, and Ramberg-Osgood models. The results illustrate the usefulness of the modified equivalent radius approach and suggest that using a single value of equivalent radius ratio to calculate strains is not appropriate.

Modified Equivalent Radius Approach in Evaluating Stress-Strain Relationship in Torsional Test

  • Bae, Yoon-Shin
    • 한국방재학회 논문집
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    • 제8권2호
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    • pp.97-103
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    • 2008
  • Determination of stress-strain relationship in torsional tests is complicated due to nonuniform stress-strain variation occurring linearly with the radius in a soil specimen in torsion. The equivalent radius approach is adequate when calculating strain at low to intermediate strains, however, the approach is less accurate when performing the test at higher strain levels. The modified equivalent radius approach was developed to account for the problem more precisely. This approach was extended to generate the plots of equivalent radius ratio versus strain using modified hyperbolic and Ramberg-Osgood models. Results showed the effects of soil nonlinearity on the equivalent radius ratio curves were observed. Curve fitting was also performed to find the stress-strain relationship by fitting the theoretical torque-rotation relationship to measured torque-rotation relationship.