• 제목/요약/키워드: torsional effects

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Nonlinear Oscillation Characteristics in Combination Resonance Region Considering Damping Effects (조합공진 영역에서 감쇠의 영향을 고려한 비선형 진동 응답 특성)

  • Jeong, Tae-Gun
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.20 no.9
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    • pp.849-855
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    • 2010
  • Damping may change the response characteristics of nonlinear oscillations due to the parametric excitation of a thin cantilever beam. When the natural frequencies of the first bending and torsional modes are of the same order of magnitude, we can observe the one-to-one combination resonance in the perturbation analysis depending on the characteristic parameters. The nonlinear behavior about the combination resonance reveals a chaotic motion depending on the natural frequencies and damping ratio. We can analyze the chaotic dynamics by using the eigenvalue analysis of the perturbed components. In this paper, we derived the equations for autonomous system and solved them to obtain the characteristic equation. The stability analysis was carried out by examining the eigenvalues. Numerical integration gave the physical behavior of each mode for given parameters.

Chaotic Out-of-Plane Vibration of Curved Pipe Conveying Oscillatory Flow (조화진동유동을 포함한 곡선파이프계의 외평면 혼돈 운동 연구)

  • 홍성철
    • Journal of KSNVE
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    • v.10 no.5
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    • pp.849-858
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    • 2000
  • In this paper the chaotic out-of-plane vibrations of the uniformly curved pipe with pulsating flow are theoretically investigated. The derived equations of motion contain the effects of nonlinear curvature and torsional coupling. The corresponding nonlinear ordinary differential equation is a type of nonhomogenous Hill's equation . this is transformed into the averaged equation by averaging theorem. Bifurcation curves of chaotic motion are obtained by Melnikov's method and plotted in several cases of frequency ratios. The theoretically obtained results are demonstrated by numerical simulation. And strange attractors are shown.

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A Consideration with Load Height Effects for Inelastic Lateral-Torsional Buckling of Stepped Beam Subjected to a Concentration Load (집중하중을 받는 I형 스텝보의 비탄성 횡-비틀림 좌굴강도에 하중고 효과가 미치는 영향 고찰)

  • Park, Yi-Seul;Oh, Jeong-Jae;Park, Jong-Sub
    • Proceedings of the KAIS Fall Conference
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    • 2011.05a
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    • pp.464-467
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    • 2011
  • 본 논문에서는 기존에 수행된 비탄성 영역 내 비지지 길이가 존재하고 균일단면을 가지는 I형 보의 좌굴 강도에 대한 해석적 이론적 연구를 토대로 변단면 I형보의 하중고 효과를 고려한 비탄성 횡-비틀림 좌굴강도에 대한 연구를 수행하였다. 유한요소해석에는 4절점 쉘요소인 S4R요소가 사용되었고, 플랜지 길이방향 비, 너비방향 비, 두께의 비로 스텝보를 나타내었으며, 집중하중을 작용시켰다. 개발된 좌굴강도 제안식은(오정재 등, 2011)과 해석결과를 하중고 효과 평가 시 큰 단면변화를 보이는 경우를 제외하고는 ${\pm}10%$의 오차범위를 나타내었다. 본 연구 결과는 다양한 형식의 I형보가 사용되는 빌딩 및 교량의 경제적이고 합리적인 설계의 근간을 제공해 줄 것이며, 향후 비탄성 횡-비틀림 좌굴강도에 대한 연구에도 많은 도움이 될 것이다.

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Nonlinear Aeroelastic Analysis of a High-Aspect-Ratio Wing with Large Deflection Effects

  • Kim, Kyung-Seok;Lim, In-Gyu;Lee , In;Yoo, Jae-Han
    • International Journal of Aeronautical and Space Sciences
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    • v.7 no.1
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    • pp.99-105
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    • 2006
  • In this study, nonlinear static and dynamic aeroelastic analyses for a high-aspect-ratio wing have been performed. To achieve these aims, the transonic small disturbance (TSD) theory for the aerodynamic analysis and the large deflection beam theory considering a geometrical nonlinearity for the structural analysis are applied, respectively. For the coupling between fluid and structure, the transformation of a displacement from the structural mesh to the aerodynamic grid is performed by a shape function which is used for the finite element and the inverse transformation of force by work equivalent load method. To validate the current method, the present analysis results of a high-aspect-ratio wing are compared with the experimental results. Static deformations in the vertical and torsional directions caused by an angle of attack and gravity loading are compared with experimental results. Also, static and dynamic aeroelastic characteristics are investigated. The comparisons of the flutter speed and frequency between a linear and nonlinear analysis are presented.

Fabrication of the Windmill Type Ultrasonic Its Characteristics of Torque and Bidirectional Revolution (풍차형 초음파 전동기의 제작과 토크 및 정$\cdot$역회전특성)

  • Kim, Young-Gyun;Kim, Jin-Soo
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.50 no.3
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    • pp.105-109
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    • 2001
  • In this paper, the windmill type ultrasonic motors with 11.35 mm diameter, 2.87 mm thickness of metal endcap and 1.47 g weight were fabricated. Effects of slots and thickness on torque characteristic in the windmill type ultrasonic motor were investigated, when stator's slots were changed from 4, 6, 8 and thickness 0.15 mm, respectively. Specially designed metal endcaps with windmill shaped cutting can provide longitudinal and torsional displacements simultaneously as the ceramic disk vibrates radically. The windmill type ultrasonic motor has only three components: a stator element with windmill shape slotted metal endcap, a rotor and bearing. Ultrasonic motor stimulated to ultrasonic oscillations by piezoelectrics to drive a rotor via friction contact. The ultrasonic motor fabricated here was the windmill type ultrasonic motor operated by single-phase AC source. Bidirectional revolution using single-phase high frequency for driving the ultrasonic motor was presented.

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Inelastic response of code-designed eccentric structures subject to bi-directional loading

  • Chandler, A.M.;Correnza, J.C.;Hutchinson, G.L.
    • Structural Engineering and Mechanics
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    • v.5 no.1
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    • pp.51-58
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    • 1997
  • The influence of bi-directional earthquake-induced loading on eccentric (plan-asymmetric) building systems has been investigated. In the first part of the study, comparisons have been made with equivalent results from uni-directional studies. The results are important in developing analytical models appropriate to the formulation of design recommendations. It is concluded that for valid comparisons, both perpendicular horizontal earthquake components must be considered when using models with transversely-orientated elements. In the second part of the study, an assessment has been made of a simplified, unidirectional (lateral) design approach. For stiffness-eccentric systems, the latter approach gives accurate and reasonably conservative estimates of the critical flexible-edge deformation, but may under estimate the stiff-edge element ductility demand by a factor of two in the short-period range.

Soil-structure interaction and axial force effect in structural vibration

  • Gao, H.;Kwok, K.C.S.;Samali, B.
    • Structural Engineering and Mechanics
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    • v.5 no.1
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    • pp.1-19
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    • 1997
  • A numerical procedure for dynamic analysis of structures including lateral-torsional coupling, axial force effect and soil-structure interaction is presented in this study. A simple soil-structure system model has been designed for microcomputer applications capable of reflecting both kinematic and inertial soil-foundation interaction as well as the effect of this interaction on the superstructure response. A parametric study focusing on inertial soil-structure interaction is carried out through a simplified nine-degree of freedom building model with different foundation conditions. The inertial soil-structure interaction and axial force effects on a 20-storey building excited by an Australian earthquake is analysed through its top floor displacement time history and envelope values of structural maximum displacement and shear force.

Investigation of vibration and stability of cracked columns under axial load

  • Ghaderi, Masoud;Ghaffarzadeh, Hosein;Maleki, Vahid A.
    • Earthquakes and Structures
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    • v.9 no.6
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    • pp.1181-1192
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    • 2015
  • In this paper, an analytical method is proposed to study the effect of crack and axial load on vibration behavior and stability of the cracked columns. Using the local flexibility model, the crack has been simulated by a torsional spring with connecting two segments of column in crack location. By solving governing eigenvalue equation, the effects of crack parameters and axial load on the natural frequencies and buckling load as well as buckling load are investigated. The results show that the presents of crack cause to reduction in natural frequencies and buckling load whereas this reduction is affected by the location and depth of the crack. Furthermore, the tensile and compressive axial load increase and decrease the natural frequencies, respectively. In addition, as the compression load approaches to certain value, the fundamental natural frequency reaches zero and instability occurs. The accuracy of the model is validated through the experimental data reported in the literature.

The Effect of Annealing Condition on the Occurrence of the Delamination in Pearlitic Steel Wires (펄라이트 강선의 어닐링 조건이 딜라미네이션 발생에 미치는 영향)

  • Park, D.B.;Lee, J.W.;Nam, W.J.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2007.10a
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    • pp.120-123
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    • 2007
  • The effects of annealing condition on the occurrence of the delamination in cold drawn hyper-eutectoid steel wires, were investigated. Annealing treatment was performed on cold drawn steel wires for temperature range of $425^{\circ}C\sim500^{\circ}C$ with the variation of annealing time from 30sec to 15min. The increase of annealing temperature and time would cause the decrease of tensile strength and the increase of ductility. However, the occurrence of the delamination, representing torsional ductility, showed the different way from the variation of ductility.

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Steel-concrete composite bridge analysis using generalised beam theory

  • Goncalves, Rodrigo;Camotim, Dinar
    • Steel and Composite Structures
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    • v.10 no.3
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    • pp.223-243
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    • 2010
  • This paper reports recent developments concerning the application of Generalised Beam Theory (GBT) to the structural analysis of steel-concrete composite bridges. The potential of GBT-based semi-analytical or finite element-based analyses in this field is illustrated/demonstrated by showing that both accurate and computationally efficient solutions may be achieved for a wide range of structural problems, namely those associated with the bridge (i) linear (first-order) static, (ii) vibration and (iii) lateral-torsional-distortional buckling behaviours. Several illustrative examples are presented, which concern bridges with two distinct cross-sections: (i) twin box girder and (ii) twin I-girder. Allowance is also made for the presence of discrete box diaphragms and both shear lag and shear connection flexibility effects.