• Title/Summary/Keyword: 구속방정식

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Analysis of Spatial Mechanism Using Symbolic Computation (기호예산을 이용한 공간기구의 해석)

  • 이동민;윤용산
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.6
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    • pp.1509-1517
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    • 1993
  • The purpose of this study is to develop a program for the automatic derivation of the symbolic equations necessary for the kinematic and dynamic analyses of the spatial mechanism. For this purpose, a symbolic manipulation package called MCSYMA is used. Every symbolic equation is formulated using relative joint coordinate to obtain the numerically efficient system equations. These equations are produced in FORTRAN statements and linked to a FORTRAN program for numerical analysis. Several examples are taken for comparison with the commercial package called DADS which is using Cartesian coordinate approach. Also, this symbolic formulation approach is compared with a conventional numerical approach for an example. The results show that this symbolic approach with relative joint coordinate system is most efficient in computational time among three and is recommended for the derivation of macro elements frequently used.

Analytical and Experimental Study on the Damping of Vibrating Layered Plates Including the Effects of Shear and Thickness Deformation of the Adhesive Layer (접착제층의 전단과 법선변형 효과를 고려한 적층판의 진동감쇠특성 연구)

  • 김재호;박태학
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.7
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    • pp.1244-1254
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    • 1992
  • This paper investigates the vibrational damping characteristics of laminated plates composed of elastic, viscoelastic and elastic layers by theoretical and experimental methods. Laminated plates are in cylindrical bending and visco-elastic adhesive layer is assumed as the visco-elastic spring which takes damping effect through both shear and normal deformations. Governing equations oof laminated plates are derived in the form of simultaneous first order differential equations, which account for the longitudinal displacements, rotary inertia and shear deformations of elastic base plate and elastic constraining plate. The numerical calculations of the equations are illustrated by the applications to the cantilever beam in transverse vibration. The results of the solutions agree well with the experimental measurements in general. The damping effects due to the shear and thickness deformations in the adhesives are analyzed and it is shown that for thicker adhesives, the damping effect due to thickness deformation becomes significant and for thinner adhesives, due to shear deformation.

Dynamic Analysis of Wave Energy Generation System by Using Multibody Dynamics (다물체 동역학을 이용한 파력발전기의 동적거동 분석)

  • Jang, Jin-Seok;Sohn, Jeong-Hyun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.35 no.12
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    • pp.1579-1584
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    • 2011
  • This paper discusses an energy system that can convert wave energy into electrical energy. This wave energy generation system is movable and has 12 arms and one generator. A multibody dynamic model for this system is established by using kinematic constraints. A gear mechanism, several kinematic constraints, and force elements are included in the model. Wave forces are obtained numerically from the time domain formulation based on the Morison equation. The MSC/ADAMS program is employed to carry out dynamic analysis of the wave energy generation system. The dynamic behavior responses of this system are analyzed for design verification. According to the results of the dynamic analysis, the yaw motion is relatively stable and kinetic energy sufficient to generate electrical energy is obtained when the wave height exceeds 1m.

Long Waves Generated by Short Wave Groups over a Step: Governing Equations (계단지형을 지나는 파군에 의한 장파의 생성: 지배방정식)

  • Jo, Yong-Sik
    • Journal of Korea Water Resources Association
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    • v.34 no.6
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    • pp.651-657
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    • 2001
  • The second-order long waves generated by short wave groups propagating over a step are theoretically investigated. The diffraction of short waves is firstly formulated and the governing equations of second-order long waves are then derived by using a multiple-scale perturbation method. It is observed that free and locked long waves are generated and propagated with different velocities.

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Stability and Post-Buckling Analyses of Thin-Walled Space Frames Using Finite Element Method (박벽 공간뼈대구조의 안정성 및 후좌굴 유한요소해석)

  • 김문영;안성원
    • Computational Structural Engineering
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    • v.10 no.4
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    • pp.205-216
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    • 1997
  • In order to trace the lateral post-buckling behaviors of thin-wafled space frames, a geometrically nonlinear finite element formulation is presented by applying incremental equilibrium equations based on the updated Lagrangian formulation and introducing Vlasov's assumption. The improved displacement field for symmetric thin-walled cross sections is introduced based on inclusion of second order terms of finite rotations, and the potential energy corresponding to the semitangential rotations and moments is consistently derived. For finite element analysis, tangent stiffness matrices of the thinwalled space frame element with 7 degrees of freedom including the restrained warping for each node are derived by using the Hermition polynomials as shape functions. A co-rotational formulation in order to evaluate the unbalanced loads is presented by separating the rigid body rotations and pure deformations from incremental displacements and evaluating the updated direction cosines of the frame element due to rigid body rotations and incremental member forces from pure deformations. Finite element solutions for the spatial buckling and post-buckling analysis of thin-walled space frames are presented and compared with available solutions and other researcher's results.

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Comparative Study on DAE Solution Methods for Effective Multi-Body Dynamics Analysis of Unmanned Military Robot Based on Subsystem Synthesis Method (무인 국방 로봇의 효과적인 다물체 동역학 해석을 위한 부분시스템 합성방법 기반 DAE 해석 기법 비교 연구)

  • Kim, Myoung Ho;Kim, Sung-Soo;Yun, Hong-Seon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.37 no.9
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    • pp.1069-1075
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    • 2013
  • An effective method is necessary for the real-time analysis of an unmanned military robot. To achieve highly efficient simulations, a subsystem synthesis method has been developed. The subsystem synthesis method separately generates equations of motion for the base body and for the subsystem. The equations of motion are expressed by DAE, which consist of differential equations and algebraic equations. To increase the accuracy and efficiency of solutions, DAE solvers such as the Direct, CS (Constraint Stabilization), and GCP (Generalized Coordinate Partitioning) method are employed. In this study, the subsystem synthesis method is applied for effective multi-body dynamics analysis of an unmanned military robot, and a comparative study of three different DAE solvers is carried out.

사다리형태로 변화하는 지형 위를 통과하는 파군에 의한 장파의 생성 (Long Waves Generated by Wave Groups over Trapezoidally Varying Topography)

  • Cho, Yong-Sik;Lee, Jin-Woo;Jung, Tae-Hwa
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.20 no.2
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    • pp.212-218
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    • 2008
  • A possible source of resonant problems in a harbor is long waves generated by incident wave groups. The analytical solutions of the governing equations of second-order long waves derived using a multiple-scale perturbation method consist of the locked and free long waves. The locked long waves propagate at some group velocity, whereas the free long waves propagate at the shallow-water speed. To study the resonance of free long waves, a trapezoidally varying topography is employed. With certain combinations of incident angle, water depth, and ambient current velocity, free long waves can be trapped and resonated.

A study on the analysis and design for VTR deck mechanisms using CAE (CAE를 이용한 VTR Deck기구의 해석 및 설계)

  • 박태원;범진환;한형석;김명규;김광배
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.1
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    • pp.223-235
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    • 1993
  • VTR(Video Tape Recorder) has very complicated mechanisms composed of various cams, links, gears and so on. To satisfy kinematic requirements of VTR components, various geometric constraints between rigid bodies and a translational cam design program are developed. Mechanisms of VTR are divided into functional groups like a control part, a loading part and a tape guide part. Each group is modeled for kinematic and dynamic analysis. Finally, all groups are combined together for a complete VTR model and loads required for each function of VTR controls are studied. Detailed description of developed programs are presented and result are discussed.

Dynamic analysis of constrained multibody systems using Kane's method (케인방법을 이용한 구속 다물체계의 동역학 해석)

  • Park, Jeong-Hun;Yu, Hong-Hui;Hwang, Yo-Ha;Bae, Dae-Seong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.12
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    • pp.2156-2164
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    • 1997
  • A new formulation for the dynamic analysis of constrained multibody systems is presented in this paper. The formulation employs Kane's method along with the null space method. Kane's method reduces the dimension of equations of motion by using partial velocity matrix introduced in this study : it can improve the efficiency of the formulation. Three numerical examples are given to demonstrate the accuracy and efficiency of the formulation.

Developing General Beam Finite Elements with Warping Displacement (뒤틀림 변위를 고려한 일반 빔 유한요소의 개발)

  • Yoon, Kyung-Ho;Lee, Phill-Seung
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2011.04a
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    • pp.764-767
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    • 2011
  • 본 논문에서는 유한요소법을 이용하여 임의의 단면을 가지는 빔의 비틀림 문제를 해석 할 수 있는 방법론을 제시하였다. 빔 유한요소에서 연속적인 뒤틀림함수를 얻기 위해 각 절점에서 뒤틀림자유도를 정의한 후 빔의 길이 방향으로 보간하였다. 이러한 방법의 사용은 뒤틀림구속효과와 비선형문제에 쉽게 접근 할 수 있게 한다. 또한, 임의의 단면에 대한 뒤틀림함수는 각 단면에서 St.Venant 방정식을 유한요소법을 통해 수치적으로 계산된다. 단면에서 계산된 해는 3차원 일반 빔 요소의 변위장에 매핑된다. 위와 같은 절차를 통해 개발된 빔 유한요소를 사용하면 임의의 단면을 가진 빔 구조물을 자유/구속 뒤틀림조건에서 비틀림, 굽힘, 신축 변형이 복합적으로 고려하여 해석해 낼 수 있다. 이렇게 해석된 결과를 검증하기 위하여 사각단면과 L단면에서의 결과 값을 고찰하였다.

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