• 제목/요약/키워드: torsional rigidity

검색결과 81건 처리시간 0.032초

On triply coupled vibration of eccentrically loaded thin-walled beam using dynamic stiffness matrix method

  • Ghandi, Elham;Shiri, Babak
    • Structural Engineering and Mechanics
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    • 제62권6호
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    • pp.759-769
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    • 2017
  • The effect of central axial load on natural frequencies of various thin-walled beams, are investigated by some researchers using different methods such as finite element, transfer matrix and dynamic stiffness matrix methods. However, there are situations that the load will be off centre. This type of loading is called eccentric load. The effect of the eccentricity of axial load on the natural frequencies of asymmetric thin-walled beams is a subject that has not been investigated so far. In this paper, the mentioned effect is studied using exact dynamic stiffness matrix method. Flexure and torsion of the aforesaid thin-walled beam is based on the Bernoulli-Euler and Vlasov theories, respectively. Therefore, the intended thin-walled beam has flexural rigidity, saint-venant torsional rigidity and warping rigidity. In this paper, the Hamilton‟s principle is used for deriving governing partial differential equations of motion and force boundary conditions. Throughout the process, the uniform distribution of mass in the member is accounted for exactly and thus necessitates the solution of a transcendental eigenvalue problem. This is accomplished using the Wittrick-Williams algorithm. Finally, in order to verify the accuracy of the presented theory, the numerical solutions are given and compared with the results that are available in the literature and finite element solutions using ABAQUS software.

구기자 가지의 진동 특성 (Vibration Characteristics of Boxthorn (Lycium Chinense Mill) Branch)

    • 한국농업기계학회:학술대회논문집
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    • 한국농업기계학회 2001년도 동계 학술대회 논문집
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    • pp.292-309
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    • 2001
  • Modulus of elasticity, modulus of rigidity, damping ratio, and natural frequency of three varieties of boxthorn(Lycium chinense Mill) (Cheongyang #2, Cheongyang gugija, and Cheongyang native) branches were analyzed. Modulus of elasticity and modulus of rigidity of the boxthorn branch was determined using standard formula after simple beam bending and torsion test, respectively, using an universal testing machine. Damping ratio and natural frequency of branches were determined using a system consisted of an accelerometer, a PC equipped with A/D converter, and a software for data analysis. Relationship between the elastic modulus and branch diameter in overall varieties and branch types showed a good correlation (r$\cong$-0.81). There was, however, no correlation between torsional rigidity and branch diameter. The internal damping results were highly variable and the overall range of the damping ratio of the boxthorn branch was 0.014 -0.087, which indicated that the branch was a lightly damped structure. The natural frequency of the boxthorn branch was in the range of 89-363 rad/s for the overall varieties and branch types. A good correlation (r$\cong$0.82) existed between the natural frequency and branch diameter in overall varieties and branch type.

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Elastic flexural and torsional buckling behavior of pre-twisted bar under axial load

  • Chen, Chang Hong;Yao, Yao;Huang, Ying
    • Structural Engineering and Mechanics
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    • 제49권2호
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    • pp.273-283
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    • 2014
  • According to deformation features of pre-twisted bar, its elastic bending and torsion buckling equation is developed in the paper. The equation indicates that the bending buckling deformations in two main bending directions are coupled with each other, bending and twist buckling deformations are coupled with each other as well. However, for pre-twisted bar with dual-axis symmetry cross-section, bending buckling deformations are independent to the twist buckling deformation. The research indicates that the elastic torsion buckling load is not related to the pre-twisted angle, and equals to the torsion buckling load of the straight bar. Finite element analysis to pre-twisted bar with different pre-twisted angle is performed, the prediction shows that the assumption of a plane elastic bending buckling deformation curve proposed in previous literature (Shadnam and Abbasnia 2002) may not be accurate, and the curve deviates more from a plane with increasing of the pre-twisting angle. Finally, the parameters analysis is carried out to obtain the relationships between elastic bending buckling critical capacity, the effect of different pre-twisted angles and bending rigidity ratios are studied. The numerical results show that the existence of the pre-twisted angle leads to "resistance" effect of the stronger axis on buckling deformation, and enhances the elastic bending buckling critical capacity. It is noted that the "resistance" is getting stronger and the elastic buckling capacity is higher as the cross section bending rigidity ratio increases.

삼차원 T형강체를 이용한 편심코어를 가진 전단벽-골조 구조물의 효율적인 지진해석모델 개발 (Development of Efficient Seismic Analysis Model using 3D Rigid-body for Wall-Frame Structures with an Eccentric Core)

  • 박용구;이동근;김현수
    • 한국전산구조공학회논문집
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    • 제26권1호
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    • pp.19-28
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    • 2013
  • 전단벽-골조 구조시스템의 구조적인 거동은 휨거동하는 전단벽과 전단거동하는 골조의 상호작용에 의하여 결정된다. 이러한 전단벽-골조 구조물의 거동특성을 효과적으로 고려하기 위하여 선행 연구에서는 2차원 T형 강체를 사용한 단순 해석모델을 제안하였다. 본 논문에서는 이를 바탕으로 편심코어를 가진 전단벽-골조 구조물에 대한 효율적인 해석모델을 제안한다. 2차원 등가모델을 3차원으로 확장하여 비틀림 거동을 고려할 수 있도록 하였고, 그 결과 제안하는 등가모델이 편심코어를 가지는 전단벽-골조 구조물에도 적용가능 하도록 하였다.

Effects of types of bridge decks on competitive relationships between aerostatic and flutter stability for a super long cable-stayed bridge

  • Hu, Chuanxin;Zhou, Zhiyong;Jiang, Baosong
    • Wind and Structures
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    • 제28권4호
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    • pp.255-270
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    • 2019
  • Aerodynamic configurations of bridge decks have significant effects on the aerostatic torsional divergence and flutter forsuper long-span bridges, which are onset for selection of suitable bridge decksfor those bridges. Based on a cable-stayed bridge with double main spans of 1500 m, considering typical twin-box, stiffening truss and closed-box section, which are the most commonly used form of bridge decks and assumed that the rigidity of those section is completely equivalent, are utilized to investigate the effects of aerodynamic configurations of bridge decks on aerodynamic instability performance comprised of the aerostatic torsional divergence and flutter, by means of wind tunnel tests and numerical calculations, including three-dimensional (3D) multimode flutter analysis and nonlinear aerostatic analysis. Regarding the aerostatic torsional divergence, the results obtained in this study show twin-box section is the best, closed-box section the second-best, and the stiffening truss section the worst. Regarding the flutter, the flutter stability of the twin-box section is far better than that of the stiffening truss and closed-box section. Furthermore, wind-resistance design depends on the torsional divergence for the twin-box and stiffening truss section. However, there are obvious competitive relationships between the aerostatic torsional divergence and flutter for the closed-box section. Flutter occur before aerostatic instability at initial attack angle of $+3^{\circ}$ and $0^{\circ}$, while the aerostatic torsional divergence occur before flutter at initial attack angle of $-3^{\circ}$. The twin-box section is the best in terms of both aerostatic and flutter stability among those bridge decks. Then mechanisms of aerostatic torsional divergence are revealed by tracking the cable forces synchronous with deformation of the bridge decksin the instability process. It was also found that the onset wind velocities of these bridge decks are very similar at attack angle of $-3^{\circ}$. This indicatesthat a stable triangular structure made up of the cable planes, the tower, and the bridge deck greatly improves the aerostatic stability of the structure, while the aerodynamic effects associated with the aerodynamic configurations of the bridge decks have little effects on the aerostatic stability at initial attack angle of $-3^{\circ}$. In addition, instability patterns of the bridge depend on both the initial attack angles and aerodynamic configurations of the bridge decks. This study is helpful in determining bridge decksfor super long-span bridges in future.

EDISON Ksec2D-AE를 이용한 원형 단면 날개 보의 파라미터 연구 (Parameter Study of Circular Cross-section Wing Spar by Using EDISON Ksec2D-AE)

  • 구상훈;하현호
    • EDISON SW 활용 경진대회 논문집
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    • 제5회(2016년)
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    • pp.175-182
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    • 2016
  • Recently, carbon fiber-reinforced composite is widely used in many aerospace applications. Among most of the aerospace vehicles, human-powered aircraft essentially uses it for minimizing the weight of the vehicle and gaining high stiffness to increase its efficiency. In this paper, main wing spar of the human-powered aircraft is investigated. Finite element models were created based on the baseline model built in 2013 to make analysis of cross-section of the spar with varying ply angles of each layer of the spar. Objective function, which is affected from bending rigidity, torsional rigidity, and strength ratio, was evaluated for every cases. The model of 2013 and present cases were put into comparison by values evaluated from objective function. From the comparison, it was concluded that there are more chances to improve the baseline model to make the vehicle better in stiffness and weight than the model of 2013.

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Vlasov 보 모델을 이용한 컨테이너 선박의 스프링잉 응답해석 (Analysis of Linear Springing Responses of a Container Carrier by using Vlasov Beam Model)

  • 김유일;김용환
    • 대한조선학회논문집
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    • 제47권3호
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    • pp.306-320
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    • 2010
  • Modern ultra-large container carriers can be exposed to the unprecedented springing excitation from ocean waves due to their relatively low torsional rigidity. Large deck opening on the deck of container carriers tends to cause warping distortion of hull structure under wave-induced excitation, eventually leading to the higher chance of resonance vibration between its torsional response and incoming waves. To handle this problem, a higher-order B-spline Rankine panel method and Vlasov-beam FE model was directly coupled in the time domain, and the coupled equation was solved by using an implicit iterative method. In order to capture the complicated behavior of thin-walled open section girder, a sophisticated beam-based finite element model was developed, which takes into account warping distortion and shear-on-wall effect. Then, the developed beam model was directly coupled with the time-domain Rankine panel method for hydrodynamic problem by using the fixed-point iteration method. The developed computational scheme was validated through the comparison with the frequency-domain solution on the container carrier model in linear springing regime.

비대칭 초고층건물의 비탄성거동에 관한 연구 (A Study on Inelastic Behavior of an Asymmetric Tall Building)

  • 윤태호;김진구;정명채
    • 한국지진공학회논문집
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    • 제1권3호
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    • pp.37-44
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    • 1997
  • 본 논문에서는 지진하중을 받는 고층건물의 비탄성거동 특히, 층수에 따라 평면이 비대칭적으로 감소하여 발생하는 비틀림거동에 대하여 고찰하였다. 평면의 구조적 비대칭성에 의하여 발생하는 강성의 비대칭은 건물이 지진하중을 받을 때 횡변위 뿐만아니라 비틀림변형을 유발하게 된다. 이러한 비탄성 비틀림거동의 해석은 2차원모델로는 어려우므로 3차원해석이 요구된다. 본 논문에서는 102층의 비정형 초고층건물을 모델로 하여 내진설계규준에 의한 지진하중을 각 층에 가하여 하중의 크기를 증가시켜 정적 탄소성해석을 수행하였는데 비틀림에 의한 영향을 평가하기 위하여 비틀림을 제한한 모델과 그 거동을 비교분석하였다. 해석 결과에 따르면 비대칭건물의 탄소성 거동은 비틀림거동에 의하여 매우 큰 영향을 받는 것으로 나타났다.

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연속 2-거더교에서 수평브레이싱이 하중 분배 및 비틂 거동에 미치는 영향 (Effects of Lateral Bracing on the Load Distribution and Torsional Behaviors in Continuous Two-Girder Bridges)

  • 황민오;윤태양;박용명;조움돋이;황순용
    • 한국강구조학회 논문집
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    • 제19권6호
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    • pp.671-680
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    • 2007
  • 본 연구에서는 연속 2-거더교에서 하부 수평브레이싱의 유 무에 따른 하중분배효과를 파악하기 위하여 실제 교량으로부터 1/5 축소 제작된 모형 교량을 이용하여 재하 실험을 수행하였다. 실험 결과에 의하면 편재하된 하중에 대해 수평브레이싱이 설치되면 바닥판과 가로보의 구조적 기능이 향상되어 하중의 분배효과가 증가하는 것으로 나타났다. 한편, 해석모델을 사용하여 수평브레이싱 유 무에 따른 하중분배율을 정량적으로 평가해 본 결과, 수평브레이싱이 미설치된 경우는 대부분 바닥판에 의해 편재하 하중의 21% 정도가 반대측 거더로 전달되었고, 설치된 경우는 가로보와 브레이싱, 그리고 바닥판 모두 하중분배에 기여하여 하중분배효과가 1.7배 정도 증가하는 것으로 나타났다. 이는 수평브레이싱이 설치로 인해 가로보와 바닥판, 그리고 수평브레이싱 부재가 유사폐합단면을 구성하여 시험체의 비틂 강성이 증가되기 때문으로 분석되었다.

The Mechanical Effect of Rod Contouring on Rod-Screw System Strength in Spine Fixation

  • Acar, Nihat;Karakasli, Ahmet;Karaarslan, Ahmet A.;Ozcanhan, Mehmet Hilal;Ertem, Fatih;Erduran, Mehmet
    • Journal of Korean Neurosurgical Society
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    • 제59권5호
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    • pp.425-429
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    • 2016
  • Objective : Rod-screw fixation systems are widely used for spinal instrumentation. Although many biomechanical studies on rod-screw systems have been carried out, but the effects of rod contouring on the construct strength is still not very well defined in the literature. This work examines the mechanical impact of straight, $20^{\circ}$ kyphotic, and $20^{\circ}$ lordotic rod contouring on rod-screw fixation systems, by forming a corpectomy model. Methods : The corpectomy groups were prepared using ultra-high molecular weight polyethylene samples. Non-destructive loads were applied during flexion/extension and torsion testing. Spine-loading conditions were simulated by load subjections of 100 N with a velocity of $5mm\;min^{-1}$, to ensure 8.4-Nm moment. For torsional loading, the corpectomy models were subjected to rotational displacement of $0.5^{\circ}\;s^{-1}$ to an end point of $5.0^{\circ}$, in a torsion testing machine. Results : Under both flexion and extension loading conditions the stiffness values for the lordotic rod-screw system were the highest. Under torsional loading conditions, the lordotic rod-screw system exhibited the highest torsional rigidity. Conclusion : We concluded that the lordotic rod-screw system was the most rigid among the systems tested and the risk of rod and screw failure is much higher in the kyphotic rod-screw systems. Further biomechanical studies should be attempted to compare between different rod kyphotic angles to minimize the kyphotic rod failure rate and to offer a more stable and rigid rod-screw construct models for surgical application in the kyphotic vertebrae.