• Title/Summary/Keyword: 2 degrees of freedom

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Dynamic Analysis of Vehicle-Bridge System by the Dynamic Condensation Method (Dynamic Condensation Method를 이용한 차량-교량계의 동적해석)

  • Han, Jae-Ik;Lee, Kyeong-Dong
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.2 no.2
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    • pp.177-184
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    • 1998
  • The equation of motion on the vehicle-bridge system is established as the simultaneous equations which are combined the equation of vehicle and bridge by the interaction elements. A vehicle element is modeled as lumped masses supported by springs and dashpots, and a bridge element with pavement roughness is modeled as beam elements. An interaction element is defined to consist of a bridge element and the suspension units of the vehicle resting on the element. By the dynamic condensation method, the degrees of the freedom are eliminated, and compared with all the degrees of freedom on the bridge, the efforts of calculation is decreased. Thus, although a very small computational error is occured, the present technique appears to be computationally more efficient. It is particularly suitable for the simulation of bridges with a series of vehicles moving on the deck.

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Construction of the reduced system by two-level scheme and time integration in the reduced system under arbitrary loading (2단계 축소기법에 의한 축소시스템의 구성과 동하중에 의한 구조물의 동적 거동에 관한 연구)

  • Kim, Hyun-Gi;Cho, Maeng-Hyo
    • Proceedings of the KSME Conference
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    • 2004.11a
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    • pp.453-458
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    • 2004
  • This study proposes a new two-level condensation scheme for the construction of a reduced system. In the first step, the candidate area is selected for the construction of the reduced system by energy estimation in element-level. In the second step, primary degrees of freedom are selected by sequential elimination from the candidate degrees of freedom linked to the selected elements. Numerical examples demonstrate that the proposed method saves the computational cost effectively and provides a reduced system which predicts the eigenvalues accurately. Moreover, the well-constructed reduced system can present the reliable behavior of the structure under arbitrary dynamic loads comparing to that of global system. Time integration in a reduced system can save the computing time remarkably. Through a few numerical examples, the efficiency and reliability of the proposed scheme are verified.

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A Study on Estimated Stiffness and Mass Matrices from Modal Data at Measured Points (측정 모달 데이터를 이용한 골조의 강성행렬 및 질량행렬 추정에 관한 연구)

  • Han, Dong-Ho;Lee, Chy-Hyoung;Yoon, Sung-Kee
    • Journal of Korean Association for Spatial Structures
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    • v.2 no.2 s.4
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    • pp.59-67
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    • 2002
  • In this study, a method that estimates stiffness and mass matrices of shear building from modal test data is presented. This method applied of building depends on the number of measurement points that are less in number than the total structural degrees of freedom, and on the first two orders of structural mode measured. By means of this method it is possible to use modal data of unmeasurable points to estimate total stiffness and mass matrices of structure. Some examples are studied in this paper, and its result shows that this method is reliable.

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Investigation on flutter mechanism of long-span bridges with 2d-3DOF method

  • Yang, Yongxin;Ge, Yaojun;Xiang, Haifan
    • Wind and Structures
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    • v.10 no.5
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    • pp.421-435
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    • 2007
  • A two-dimensional flutter analysis method (2d-3DOF method) was developed to simultaneously investigate the relationship between oscillation parameters and aerodynamic derivatives of three degrees of freedom, and to clarify the coupling effects of different degrees of freedom in flutter instability. With this method, the flutter mechanism of two typical bridge deck sections, box girder section and two-isolated-girder section, were numerically investigated, and both differences and common ground in these two typical flutter phenomena are summarized. Then the flutter stabilization effect and its mechanism for long-span bridges with box girders by using central-slotting were studied by experimental investigation of aerodynamic stability and theoretical analysis of stabilizing mechanism. Possible explanation of new findings in the evaluation trend of critical wind speed through central vent width is finally presented.

Analytic Design Procedure of Three-mirror Telescope Corrected for Spherical Aberration, Coma, Astigmatism, and Petzval Field Curvature

  • Lee, Jong-Ung;Yu, Seung-Moon
    • Journal of the Optical Society of Korea
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    • v.13 no.2
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    • pp.184-192
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    • 2009
  • There are total eight degrees of freedom in designing a three-mirror system. If we correct four kinds of third order aberrations and the system should have the specified effective focal length, the remaining three degrees of freedom can be used for selecting a suitable configuration for a specific application. We suggest an analytic design procedure for a three-mirror telescope system which has a suitably sized secondary mirror and proper separations between mirrors, and is corrected for four kinds of third order aberrations, spherical aberration, coma, astigmatism, and field curvature. Two design examples are shown. One has a compact configuration with off-axial field, the other has relatively long configuration with annular ring field.

Structural Analysis of Frames with Shear Walls (전단벽(剪斷壁)을 가진 프레임의 구조해석(構造解析)에 관한 연구(研究))

  • Lee, Dong Guen;Kang, Suk Bong
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.6 no.2
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    • pp.77-83
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    • 1986
  • In this paper, an accurate model for structural analysis of frames with shear walls is introduced. Static and dynamic analysis of two example structures has been performed using the computer program SWAN which employes the newly developed 12 degrees of freedom plane stress element and the results are compared to those obtained using SAP IV. The 12 degrees of freedom element resulted in improved shear stress distribution in wall elements and bending moment in beam elements.

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Free vibration analysis of rotating tapered blades using Fourier-p superelement

  • Gunda, Jagadish Babu;Singh, Anuj Pratap;Chhabra, Parampal Singh;Ganguli, Ranjan
    • Structural Engineering and Mechanics
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    • v.27 no.2
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    • pp.243-257
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    • 2007
  • A numerically efficient superelement is proposed as a low degree of freedom model for dynamic analysis of rotating tapered beams. The element uses a combination of polynomials and trigonometric functions as shape functions in what is also called the Fourier-p approach. Only a single element is needed to obtain good modal frequency prediction with the analysis and assembly time being considerably less than for conventional elements. The superelement also allows an easy incorporation of polynomial variations of mass and stiffness properties typically used to model helicopter and wind turbine blades. Comparable results are obtained using one superelement with only 14 degrees of freedom compared to 50 conventional finite elements with cubic shape functions with a total of 100 degrees of freedom for a rotating cantilever beam. Excellent agreement is also shown with results from the published literature for uniform and tapered beams with cantilever and hinged boundary conditions. The element developed in this work can be used to model rotating beam substructures as a part of complete finite element model of helicopters and wind turbines.

Defect-free 4-node flat shell element: NMS-4F element

  • Choi, Chang-Koon;Lee, Phill-Seung;Park, Yong-Myung
    • Structural Engineering and Mechanics
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    • v.8 no.2
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    • pp.207-231
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    • 1999
  • A versatile 4-node shell element which is useful for the analysis of arbitrary shell structures is presented. The element is developed by flat shell approach, i.e., by combining a membrane element with a Mindlin plate element. The proposed element has six degrees of freedom per node and permits an easy connection to other types of finite elements. In the plate bending part, an improved Mindlin plate has been established by the combined use of the addition of non-conforming displacement modes (N) and the substitute shear strain fields (S). In the membrane part, the nonconforming displacement modes are also added to the displacement fields to improve the behavior of membrane element with drilling degrees of freedom and the modified numerical integration (M) is used to overcome the membrane locking problem. Thus the element is designated as NMS-4F. The rigid link correction technique is adopted to consider the effect of out-of-plane warping. The shell element proposed herein passes the patch tests, does not show any spurious mechanism and does not produce shear and membrane locking phenomena. It is shown that the element produces reliable solutions even for the distorted meshes through the analysis of benchmark problems.

Development of Universal Sports Simulator Fusing 5 Senses (범용 오감 융합형 스포츠 시뮬레이터의 개발)

  • Lee, Young-Dae;Lee, Won-Sik;Kang, Jeong-Jin
    • The Journal of the Convergence on Culture Technology
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    • v.1 no.1
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    • pp.73-77
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    • 2015
  • Existing sports simulators on the market focus on the motion of platform or reality expression using basic visual contents, and are limited to entertainment products. Therefore, the stimulus on 5 senses is not good enough to be applied on high virtual reality. Moreover, there are not enough professional contents to be applied to an educational sports simulator. In this paper, we developed a sport platform by separating the multi axis based common platform module and the sports application module. We designed the common platform which has 4 degrees of freedom such as surge, sway, heave and yaw motion. This platform has the purpose of stabilizing motion and minimizing interference. The changeable sport module which is attached to the common module has 2 degrees of freedom such as roll and pitch, so that it can be applied to the various fields of 2 degrees of freedom virtual reality sports such as horse riding and yacht.

Kinematic analysis of POSTECH Hand I with new symbolic notation

  • Choi, H.-R.;Chung, W.-K.;Youm, Y.
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10b
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    • pp.1764-1769
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    • 1991
  • Recently, dexterous mechanical hands have become of interest in the field of robotics. In this paper, a new symbolic C-Y notation is proposed for the kinematic modeling, and we solve the kinematics of a simplified model of POSTECH Hand 1, which is a 5 fingered, 20 degrees of freedom anthropomorphic hand. POSTECH Hand I is designed to have distinctive kinematic structure and the kinematic analysis of the hand is carried out using C-Y notation. To prove the feasibility of C-Y notation, D-H notation is also applied to the POSTECH Hand 1. In the inverse kinematic analysis, we neglect the fingertip geometry and assume the point contact with 3 degrees of freedom constraints. The configurations which optimize manipulability index[2] was obtained based on the simulation experiments on the SUN-4 graphic workstation using SUNPhigs graphic software.

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