• Title/Summary/Keyword: Vibration Displacements

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A hybrid 8-node hexahedral element for static and free vibration analysis

  • Darilmaz, Kutlu
    • Structural Engineering and Mechanics
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    • v.21 no.5
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    • pp.571-590
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    • 2005
  • An 8 node assumed stress hexahedral element with rotational degrees of freedom is proposed for static and free vibration analyses. The element formulation is based directly on an 8-node element. This direct formulation requires fewer computations than a similar element that is derived from an internal 20-node element in which the midside degrees of freedom are eliminated by expressing them in terms of displacements and rotations at corner nodes. The formulation is based on Hellinger-Reissner variational principle. Numerical examples are presented to show the validity and efficiency of the present element for static and free vibration analysis.

Static and free vibration behaviour of orthotropic elliptic paraboloid shells

  • Darilmaz, Kutlu
    • Steel and Composite Structures
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    • v.23 no.6
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    • pp.737-746
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    • 2017
  • In this paper the influence of aspect ratio, height ratio and material angle on static and free vibration behaviour of orthotropic elliptic paraboloid shells is studied by using a four-node hybrid stress finite element. The formulation of the element is based on Hellinger-Reissner variational principle. The element is developed by combining a hybrid plane stress element and a hybrid plate element. A parametric study is carried out for static and free vibration response of orthotropic elliptic paraboloid shells with respect to displacements, internal forces, fundamental frequencies and mode shapes by varying the aspect and height ratios, and material angle.

Experimental Study for Optimizing the Acceleration of AC Servomotor Using Finite Jerk

  • Chung, Won-Jee;Kim, Sung-Hyun;Hwan, Park-Myung;Su, Shin-Ki
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.604-609
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    • 2005
  • This paper presents an experimental study for optimizing the acceleration of AC servomotor using finite jerk (the first derivative of acceleration). The acceleration optimization with finite jerk aims at generating the smooth velocity profile of AC servomotor by experimentally minimizing vibration resulted from the initial friction of servomotor. The stick-slip motion of AC servomotor induced by initial friction can result in the positional errors that are not good for high-precision devices such as the assembly robot arms to be used in a 300mm wafer or a LCD (Liquid Crystal Display) stocker system. In this paper, experiments were made by using a PM (Permanent Magnet) type AC servomotor with MMC(R) (Multi Motion Controller) programmed in Visual C++(R). The experiments have been performed for finding the optimal duration time of finite jerk in terms of the minimization of vibration displacements when both the magnitude of velocity and the allowable acceleration are given. We have compared the proposed control with the conventional control with trapezoidal velocity profile by measuring vibration displacements. The effectiveness of the proposed control has been verified in that the experimental results showed the decrease of vibration displacement by about 24%.

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Condition assessment for high-speed railway bridges based on train-induced strain response

  • Li, Zhonglong;Li, Shunlong;Lv, Jia;Li, Hui
    • Structural Engineering and Mechanics
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    • v.54 no.2
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    • pp.199-219
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    • 2015
  • This paper presents the non-destructive evaluation of a high-speed railway bridge using train-induced strain responses. Based on the train-track-bridge interaction analysis, the strain responses of a high-speed railway bridge under moving trains with different operation status could be calculated. The train induced strain responses could be divided into two parts: the force vibration stage and the free vibration stage. The strain-displacement relationship is analysed and used for deriving critical displacements from theoretical stain measurements at a forced vibration stage. The derived displacements would be suitable for the condition assessment of the bridge through design specifications defined indexes and would show certain limits to the practical application. Thus, the damage identification of high-speed railways, such as the stiffness degradation location, needs to be done by comparing the measured strain response under moving trains in different states because the vehicle types of high-speed railway are relatively clear and definite. The monitored strain responses at the free vibration stage, after trains pass through the bridge, would be used for identifying the strain modes. The relationship between and the degradation degree and the strain mode shapes shows certain rules for the widely used simply supported beam bridges. The numerical simulation proves simple and effective for the proposed method to locate and quantify the stiffness degradation.

Free vibration analysis of a sandwich cylindrical shell with an FG core based on the CUF

  • Foroutan, Kamran;Ahmadi, Habib;Carrera, Erasmo
    • Smart Structures and Systems
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    • v.30 no.2
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    • pp.121-133
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    • 2022
  • An analytical approach for the free vibration behavior of a sandwich cylindrical shell with a functionally graded (FG) core is presented. It is considered that the FG distribution is in the direction of thickness. The material properties are temperature-dependent. The sandwich cylindrical shell with a FG core is considered with two cases. In the first model, i.e., Ceramic-FGM-Metal (CFM), the interior layer of the cylindrical shell is rich metal while the exterior layer is rich ceramic and the FG material is located between two layers and for the second model i.e., Metal-FGM-Ceramic (MFC), the material distribution is in reverse order. This study develops Carrera's Unified Formulation (CUF) to analyze sandwich cylindrical shell with an FG core for the first time. Considering the Principle of Virtual Displacements (PVDs) according to the CUF, the dependent boundary conditions and governing equations are obtained. The coupled governing equations are derived using Galerkin's method. In order to validate the present results, comparisons are made with the available solutions in the previous researches. The effects of different geometrical and material parameters on the free vibration behavior of a sandwich cylindrical shell with an FG core are examined.

Evaluation of Aerodynamic Performance of Solar Wing System (솔라윙 시스템의 풍진동 특성 평가)

  • Kim, Yong Chul;Yoon, Sung-Won
    • Journal of Korean Association for Spatial Structures
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    • v.16 no.1
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    • pp.65-72
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    • 2016
  • Aerodynamic performance of solar wing system has been evaluated through wind tunnel test. The test model has 12 panels, each supported by 2 cables. The panels were installed horizontally flat, and gaps between panels were set constant. Sag ratios of 2% and 5%, and wind directions between $0^{\circ}$ and $90^{\circ}$ were considered. Mass of test model was determined considering the mass of full scale model, and Froude number and Elastic parameter were satisfied by adjusting the mean wind speed. From the wind tunnel test, it was found that the aerodynamic performance of the solar wing system is very dependent on the wind directions and sag ratios. When the sag was 2%, the fluctuating displacements between the wind directions of $0^{\circ}$ and $30^{\circ}$ increase proportionally to the square of the mean wind speed, implying buffeting-like vibration and a sudden increase in fluctuating displacement was found at large mean wind speed for the wind directions larger than $40^{\circ}$. When the wind direction was larger than $60^{\circ}$, a sudden increase was found both at low and large mean wind speed. When the sag ratio is 5%, distribution of mean displacements is different from that of sag ratio of 2%, and the fluctuating displacements show very different trend from that of sag ratio of 2%.

Snap-through Dynamics of Curved Cantilever IPMC Actuator (곡률을 갖는 캔틸레버 IPMC 작동기의 스냅-스루 동적 특성)

  • Jeon, Jin-Han;Park, Joong-Woo;Yeom, Seong-Won;Oh, Il-Kwon
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2008.11a
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    • pp.372-373
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    • 2008
  • The snap-through phenomena of the curved IPMC actuators were investigated according to the initial curvature of the actuators. The curved actuators were fabricated by long time thermal treatments. Cantilevered IPMCs have a constant curvature and their initial tip-displacements are 0, 8, and 16mm, respectively. These actuators were tested in terms of f response. AC response, FRF test for evaluating the effect of initial shape. The hysteresis and instant speed of tip point were measured for observation of the snap-through. Present results show that initial deformation strongly affects the snap-through phenomena, resulting in much larger tip-displacements.

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Response Analysis of 3-dimensional Floating Structure Using Beam Transformation (보 변환 기법을 이용한 3차원 부유체의 응답해석)

  • Kim, Byoung-Wan;Hong, Sa-Young;Kyoung, Jo-Hyun;Cho, Seok-Kyu
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2006.11a
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    • pp.809-814
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    • 2006
  • In this paper, the modified direct method employing beam transformation technique is proposed in order to efficiently calculate hydroelastic responses of floating structure. Since the proposed method expresses the displacements of three-dimensional structure with those of transformed beam which leads to small number of equations of motion, the method is numerically efficient compared to the conventional direct method. To verify the efficiency of the proposed method a 500 m-long floating structure under wave loads is considered in numerical example. Displacements, bending moments, torsion moments and shear forces are calculated and computing tine is examined. The results are also compared with those of the conventional direct method.

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An inverse hyperbolic theory for FG beams resting on Winkler-Pasternak elastic foundation

  • Sayyad, Atteshamuddin S.;Ghugal, Yuwaraj M.
    • Advances in aircraft and spacecraft science
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    • v.5 no.6
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    • pp.671-689
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    • 2018
  • Bending, buckling and free vibration responses of functionally graded (FG) higher-order beams resting on two parameter (Winkler-Pasternak) elastic foundation are studied using a new inverse hyperbolic beam theory. The material properties of the beam are graded along the thickness direction according to the power-law distribution. In the present theory, the axial displacement accounts for an inverse hyperbolic distribution, and the transverse shear stress satisfies the traction-free boundary conditions on the top and bottom surfaces of the beams. Hamilton's principle is employed to derive the governing equations of motion. Navier type analytical solutions are obtained for the bending, bucking and vibration problems. Numerical results are obtained to investigate the effects of power-law index, length-to-thickness ratio and foundation parameter on the displacements, stresses, critical buckling loads and frequencies. Numerical results by using parabolic beam theory of Reddy and first-order beam theory of Timoshenko are specially generated for comparison of present results and found in excellent agreement with each other.

A Study on the Sloshing Characteristics on the Tank Containing the Fluid (유체저장 탱크의 슬로싱 특성 연구)

  • 홍성진;이영신;최명환
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.05a
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    • pp.886-891
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    • 2001
  • This paper present the results of finite element analysis to examine the sloshing characteristics of the cylindrical and rectangular tank partially fluid-filled. The sloshing characteristic for the existence and the non-existence of the baffle are investigated and the results compared with the references. For the rectangular tank, the vertical displacements are used to study of the sloshing characteristics. But for the cylindrical tank, the damping factors obtained from the vertical displacements of free surface with the depth of ring baffle are usedto study of the sloshing characteristics. The adaptive meshing method in the ABAQUS 5.8/Explicit is used for the sloshing analysis.

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