• 제목/요약/키워드: force formulation

검색결과 366건 처리시간 0.028초

유연보의 동역학 해석에 대한 선형 및 비선형 유한요소 정식화 (Formulations of Linear and Nonlinear Finite Element for Dynamic Flexible Beam)

  • 윤성호
    • 한국정밀공학회지
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    • 제23권2호
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    • pp.113-121
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    • 2006
  • This paper established the dynamic model of a flexible Timoshenko beam capable of geometrical nonlinearities subject to large overall motions by using the finite element method. Equations of motion are derived by using Hamilton principle and are formulated in terms of finite elements using CO elements in which the nonlinear constraint equations are adjoined to the system using Lagrange multipliers. In the final formulation are presented Coriolis and Gyroscopic forces as well as linear and nonlinear stiffnesses effects for the forthcoming numerical computation.

Dynamics modeling of a semi-submersible autonomous underwater vehicle with a towfish towed by a cable

  • Park, Jinmo;Kim, Nakwan
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제7권2호
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    • pp.409-425
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    • 2015
  • In this paper, we employ a dynamics modeling method for investigating a multi-body dynamics system of semi-submersible autonomous underwater vehicles consisting of a towing vehicle operated near the water surface, a tow cable, and a towfish. The towfish, which is towed by a marine cable for the purposes of exploration or mine hunting, is modeled with a Six-Degree-of-Freedom (6-DOF) equation of motion that reflects its hydrodynamics characteristics. The towing cable, which can experience large displacements and deformations, is modeled using an absolute nodal coordinate formulation. To reflect the hydrodynamic characteristics of the cable during motion, the hydrodynamic force due to added mass and the drag force are imposed. To verify the completeness of the modeling, a few simple numerical simulations were conducted, and the results confirm the physical plausibility of the model.

A refined functional and mixed formulation to static analyses of fgm beams

  • Madenci, Emrah
    • Structural Engineering and Mechanics
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    • 제69권4호
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    • pp.427-437
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    • 2019
  • In this study, an alternative solution procedure presented by using variational methods for analysis of shear deformable functionally graded material (FGM) beams with mixed formulation. By using the advantages of $G{\hat{a}}teaux$ differential approaches, a refined complex general functional and boundary conditions which comprises seven independent variables such as displacement, rotation, bending moment and higher-order bending moment, shear force and higher-order shear force, is derived for general thick-thin FGM beams via shear deformation beam theories. The mixed-finite element method (FEM) is employed to obtain a beam element which have a 2-nodes and total fourteen degrees-of-freedoms. A computer program is written to execute the analyses for the present study. The numerical results of analyses obtained for different boundary conditions are presented and compared with results available in the literature.

스탬핑 금형의 성형성 평가를 위한 유한요소/기하학힘평형법 프로그램 개발과 응용 (Development and application of FEM/GEM program for evaluating formability of stamping dies)

  • 김종필;금영탁
    • 한국정밀공학회지
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    • 제13권3호
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    • pp.80-93
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    • 1996
  • A 2-dimensional FEM/GEM program was developed under the plane strain assumption using linear line elements for analyzing stretch/draw forming operations of an arbitrarily shaped draw-die. FEM formulation adopted a new algorithm for solving force equilibrium as well as non-penetration condition simultaneously. Also, a rigid-viscoplastic material model with Hill's normal anisotropic yield condition and rate-sensitive hardening law is assumed, along with the Coulomb friction law in the contact regions. For the case of numerical divergence at nearly final forming stages, geometric force equilibrium method(GEM) is also introduced. The developed program was tested by simulating the forming processes of cylindrical punch/open die, and the drawing processes of automotive oilpan and hood inner panel in order to verify the usefulness and validity of FEM/GEM formulation. The numerical simulation verified the validity and robustness of developed program.

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환편기 편직바늘의 동역학해석 (Dynamic Analysis of the Latch Needle of the Circular Knitting Machine)

  • 정광영
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 추계학술대회논문집A
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    • pp.584-589
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    • 2001
  • The latch needle cam system of circular knitting machines is analysed using multibody dynamics. A formulation is made to obtain the vertical stiffness between the needle and the cam. By implementing this formulation into data of the multibody dynamics program, the motion and the force between the needle and the cam are obtained.

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Force Transmission Analyses with Dimensionally Homogeneous Jacobian Matrices for Parallel Manipulators

  • Kim, Sung-Gaun;Jeha Ryu
    • Journal of Mechanical Science and Technology
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    • 제18권5호
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    • pp.780-788
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    • 2004
  • To avoid the unit inconsistency problem in the conventional Jacobian matrix, new formulation of a dimensionally homogeneous inverse Jacobian matrix for parallel manipulators with a planar mobile platform by using three end-effector points was presented (Kim and Ryu, 2003). This paper presents force relationships between joint forces and Cartesian forces at the three End-Effector points. The derived force relationships can then be used for analyses of the input/output force transmission. These analyses, forward and inverse force transmission analyses, depend on the singular values of the derived unit consistent Jacobian matrix. Using the proposed force relationship, a numerical example is presented for actuator size design of a 3-RRR planar parallel manipulator.

유니트 일치된 자코비안 행렬을 이용한 병렬구조 로봇의 힘전달 해석 (Inverse and Forward Force Transmission Analyses of Parallel Manipulators using Dimensionally Homogeneous Jacobian Matrices)

  • 김성관;류제하
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 추계학술대회
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    • pp.1500-1505
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    • 2003
  • In order to avoid the unit inconsistency problem in the conventional Jacobian matrix, previously we presented new formulation of a dimensionally homogeneous inverse Jacobian matrix for parallel manipulators with a planar mobile platform by using three end-effector points based on the velocity relationship [1]. This paper presents force relationships between joint forces and Cartesian forces at the three End-Effector points. The derived force relationships can then be used for analyses of the input/output force transmission. These analyses, forward and inverse force transmission analyses, depend on the singular values of the derived dimensionally homogeneous Jacobian matrix. Using the proposed force relationship, a numerical example is presented for actuator size design of a 3-RRR planar parallel manipulator.

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부유식 해상 풍력 발전기의 Tower Top 및 Rotor Shaft에 작용하는 동적 하중 계산 (Dynamic Constrained Force of Tower Top and Rotor Shaft of Floating Wind Turbine)

  • 구남국;노명일;이규열
    • 한국전산구조공학회논문집
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    • 제25권5호
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    • pp.455-463
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    • 2012
  • 본 연구에서는 부유식 해상 풍력 발전기의 로터 축과 타워 상단에 작용하는 동적 하중을 계산하였다. 부유식 해상 풍력 발전기는 부유식 플랫폼, 타워, 낫셀, 허브, 그리고 3개의 블레이드로 구성되어 있는 다물체계 시스템이다. 본 연구에서는 이들 모두를 각각 6 자유도를 갖는 강체로 가정하였다. 부유식 해상 풍력 발전기의 타워는 플랫폼에 고정되어 있고, 3개의 블레이드는 허브에 고정되어 있다. 낫셀은 타워의 상부에 회전 관절로 연결되어 있으며, 블레이드와 허브로 구성된 로터는 낫셀과 회전 관절로 연결되어 있다. 본 연구에서 부유식 풍력 발전기의 운동 방정식은 다물체계 동역학을 기반으로 한 운동방정식 구성 방법 중 하나인 recursive formulation을 이용하여 구성하였다. 외력으로는 부유식 플랫폼에 작용하는 비선형 유체 정역학 힘과 선형 유체 동역학적 힘 그리고 계류력을 고려하였고, 블레이드에 작용하는 풍력을 고려하였다. 이와 같이 구성한 운동 방정식을 해를 구하여 풍력 발전기를 구성하고 있는 각 요소들의 각 연결 부위에 작용하고 있는 구속력을 계산하였다. 그 결과, 동적 상태에서 풍력 발전기에 작용하는 하중은 정적 상태에서 풍력 발전기에 작용하는 하중보다 큰 것을 알 수 있으며, 따라서 부유식 풍력 발전기의 구조해석의 입력 값으로서 정적 하중보다 동적 하중을 고려하는 것이 더 엄격한 해석 기준이라고 할 수 있다.

비절삭 저항상수에 따른 절삭력 예측 (Cutting Force Estimation Considering the Specific Cutting Force Constant)

  • 김종도;윤문철
    • 한국기계가공학회지
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    • 제18권10호
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    • pp.75-82
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    • 2019
  • Few studies have been conducted regarding theoretical turning force modelling while considering cutting constant. In this paper, a new cutting force modelling technique was suggested which considers the specific cutting force coefficients for turning. The specific cutting force is the multiplication of the cutting force coefficient and uncut chip thickness. This parameter was used for experimental modelling and prediction of theoretical cutting force. These coefficients, which can be obtained by fitting measured average forces in several conditions, were used for the formulation of three theoretical cutting forces for turning. The cutting force mechanism was verified in this research and its results were compared with each of the experimental and theoretical forces. The deviation of force was incurred by a small amount in this model and the predicted force considering feed rate, nose radius, and radial depth shows a physical behavior in main force, normal force, and feeding force, respectively. Therefore, this modelling technique can be used to effectively predict three turning forces with different tool geometries considering cutting force coefficients.

다물체계 동역학을 기반으로 한 와이어로프와 조선용 블록 외판 사이의 간섭 시뮬레이션 (Simulation of Contacts Between Wire Rope and Shell Plate of a Block for Shipbuilding Industry based on Multibody Dynamics)

  • 조아라;구남국;차주환;박광필;이규열
    • 한국CDE학회논문집
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    • 제17권5호
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    • pp.324-332
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    • 2012
  • In this paper, a method for calculating the contact force and the frictional force caused by contacts between the wire rope and the rigid body is introduced based on multibody dynamics. And the method is applied to a simulation of contacts between the wire rope and the shell plate of a block that can occur during shipbuilding. The wire rope is composed of a number of lumped masses and the wire rope segments that connect the masses. After calculating the position of interference, we inserted a contact node into the wire rope. We then derived the equations of motion of the wire rope and the rigid body using augmented formulation based on multibody dynamics taking into account the constraints between the contact node and the rigid body. Using the equations, we were able to obtain the constraint force between the contact node and the rigid body, and calculate the contact force and the frictional force, based on which the position of the contact node was corrected. Finally, we applied our results to perform simulation of contacts between the wire rope and the shell plate of a block in order to verify the efficacy of the method proposed in this paper.