• Title/Summary/Keyword: force formulation

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

  • Yun Seong-Ho
    • Journal of the Korean Society for Precision Engineering
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    • v.23 no.2 s.179
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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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    • v.7 no.2
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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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    • v.69 no.4
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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.

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

  • Kim, J.P.;Keum, Y.T.
    • Journal of the Korean Society for Precision Engineering
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    • v.13 no.3
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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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Dynamic Analysis of the Latch Needle of the Circular Knitting Machine (환편기 편직바늘의 동역학해석)

  • Jeong, K.Y.
    • Proceedings of the KSME Conference
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    • 2001.11a
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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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    • v.18 no.5
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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.

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

  • Kim, Sung-Gaun;Ryu, Je-Ha
    • Proceedings of the KSME Conference
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    • 2003.11a
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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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Dynamic Constrained Force of Tower Top and Rotor Shaft of Floating Wind Turbine (부유식 해상 풍력 발전기의 Tower Top 및 Rotor Shaft에 작용하는 동적 하중 계산)

  • Ku, Nam-Kug;Roh, Myung-Il;Lee, Kyu-Yeul
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.25 no.5
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    • pp.455-463
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    • 2012
  • In this study, we calculate dynamic constrained force of tower top and blade root of a floating offshore wind turbine. The floating offshore wind turbine is multibody system which consists of a floating platform, a tower, a nacelle, and a hub and three blades. All of these parts are regarded as a rigid body with six degree-of-freedom(DOF). The platform and the tower are connected with fixed joint, and the tower, the nacelle, and the hub are successively connected with revolute joint. The hub and three blades are connected with fixed joint. The recursive formulation is adopted for constructing the equations of motion for the floating wind turbine. The non-linear hydrostatic force, the linear hydrodynamic force, the aerodynamic force, the mooring force, and gravitational forces are considered as external forces. The dynamic load at the tower top, rotor shaft, and blade root of the floating wind turbine are simulated in time domain by solving the equations of motion numerically. From the simulation results, the mutual effects of the dynamic response between the each part of the floating wind turbine are discussed and can be used as input data for the structural analysis of the floating offshore wind turbine.

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

  • Kim, Jong-Do;Yoon, Moon-Chul
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.18 no.10
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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.

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

  • Jo, A-Ra;Ku, Nam-Kug;Cha, Ju-Hwan;Park, Kwang-Phil;Lee, Kyu-Yeul
    • Korean Journal of Computational Design and Engineering
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    • v.17 no.5
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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.