• Title/Summary/Keyword: Newton-Raphson

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Dynamic Elastohydrodynamic Film Thickness in Rocker-Arm Valve Train System (로커암 밸브 트레인의 동적 탄성유체윤활 유막 연구)

  • 장시열;이희락
    • Tribology and Lubricants
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    • v.19 no.4
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    • pp.195-202
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    • 2003
  • Many computational researches have been performed about EHL film thickness in the contact between cam and follower in the engine valve train system. However, those computations do not explain the characteristics of dynamic film thickness which means squeeze film effect. Without the consideration of transient term in the Reynold's equation, the predicted film thickness from steady state condition has large difference from the actual film thickness. In this study, we have investigated the kinematic and dynamic simulations of rocker-arm valve train system. From the dynamic simulation, the applied load and the entraining velocity of the lubricant between cam and follower are obtained and with these values the dynamic film thickness is computed by Newton-Raphson method and compared with the steady state film thickness.

Minimization of consumption energy for a manipulator with nonlinear friction in PPT motion

  • Izumi, T.;Takase, K.
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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    • pp.95-99
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    • 1994
  • Robot engineering is developed mainly in the field of intelligibility such as a manipulation. Considering the popularization of robots in the future, however, a robot should be studied from a viewpoint of saving energy because a robot is a kind of machine with a energy conversion. This paper deals with minimizing an energy consumption of a manipulator which is driven in a point-to-point control method. When a manipulator carries a heavy payload toward gravitation or the links are de-accelerated for positioning, the motors at joints generate electric energy. Since this energy can be regenerated to the source by using a chopper, the energy consumption of a manipulator is only heat loss by an electric and a frictional resistance of the motors. The minimization of the sum of these losses is reduced Lo a two-points boundary-value problem of an non-linear differential equation. The solutions are obtained by the generalized Newton-Raphson method in this paper. The energy consumption due to the optimum angular velocity patterns of two joints of a two-links manipulator is compared with conventional velocity patterns such as quadratic and trapezoid.

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Transient Response of Head Slider with the Head Geometry Change in Magnetic Storage Devices

  • Mongkolwongrojn, M.
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.906-909
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    • 2005
  • In this study, the dynamic flying characteristics of the worn head sliders are investigated theoretically due to the change in head geometry caused by head and disk contact. The film shapes can be approximated as taper- truncated cycloidal-flat film. Two-dimensional time dependent modified Reynolds equation included molecular slip effect are formulated with neglected the roughness effect. The motion of head slider was assumed to have two degree of freedom in this work. Finite difference approximation with Newton Raphson iterative technique and the fourth order Runge-Kutta method were implemented to obtain the transient response of the slider head with various change in head geometry numerically and compared with the transient response of the IBM3380 type head slider. The simulation results show the film shape has affects significantly on the static and dynamic characteristic of slider head in magnetic storage systems.

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A Study on the Optimal Initial Stress-Finding of Structures Stabilized by Cable-Tension (장력안정 구조물의 최적초기응력 탐색에 관한 연구)

  • 최옥훈;한상을;권택진
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1999.04a
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    • pp.287-294
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    • 1999
  • The tensegrity structure by prestressed cable, which may have large freedom in scale and form and therefore are received much attention from the view points of their light weight and aesthetics, is a very flexible and geometrically unstable structure because the cable material has little initial rigidity. For the stable self-equilibrated state of the usually very deformable structure, the method to find the optimal initial stress by the shape analysis is proposed in this paper. The proposed procedure is to derive the nonlinear finite element formula of cable and truss members considering geometric nonlinearity and used to modified load incremental method adding to Newton-Raphson method with the proposed condition for optimal initial stress. The result of the shape analysis for the tensegrity structure with the radius of 30m is shown the almost approximated shape to architectural shape and the changed procedure of initial stress

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Buckling Analysis of the Large Span Spatial Structures by Modal Analysis (Modal Analysis법에 의한 무주대공간 구조물의 좌굴해석)

  • 한상을;권택진
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1996.10a
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    • pp.195-201
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    • 1996
  • This paper is mainly forcused on the application of modal analysis In analyze the geometrically non-linear buckling behaviors of large span spatial structures, and the evaluation of each eigen mode affected post-buckling behaviors and buckling loads. Modal analysis is applied . to derivation of the system matrices transforming actual displacement space into generalized coordinates space represented by coefficients multiplied in the linear combination of eigen modes which are independent and orthogonal each other. By using modal analysis method, it will be expected to save the calculating time by computer extremely. For example, we can obtain the satisfactorily good results by using about 7% of total eigen modes only in case of single layer latticed dome. And we can decrease the possibility of divergence on the bifurcation point in the calculation of post-buckling path. Arc-length method and Newton-Raphson iteration method are used to calculate the nonlinear equilibrium path.

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Optimal Design of Steel Frameworks with Displacement and Stress Constraints (변위 및 응력제약을 받는 철골구조물의 최적설계)

  • 정영식;정진현
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1996.10a
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    • pp.288-295
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    • 1996
  • This work presents an optimality criteria method applicable io the design of plane frames with I-shape sections. All kinds of constraints are treated properly to ensure the mathematical rigour of the method as ever. Among the various properties of a section, the cross-sectional area is chosen as the design variable associated with the member. Then other properties, moment of inertia and depth, are determined from the cross-sectional area using relationships established in advance from the sectional data for AISC standard W shapes. The optimality criteria established in this work is perfect in mathematical terms provided that the relationships between properties of a section are correct. A redesign algorithm is derived relying heavily on the Newton-Raphson method to solve the system of nonlinear constraint equations. A worked example is also Presented.

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Shape Finding and Stress Finding for Pneumatic Membrane Structures by Dynamic Relaxation Method (동적이완법에 의한 공기막구조물의 형태탐색과 응력해석)

  • 문창훈;이경수;배종효;최옥훈;한상을
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1999.04a
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    • pp.268-275
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    • 1999
  • The purpose of this study is to propose the method of determining the initial pneumatic membrane structures surface and stresses and displacements. Tension structure such as pneumatic membrane structures is stabilized by their initial prestress and air pressure. The process to find initial structural overall shape of tension structures produced by initial prestress called shape finding. One of the most important factor for the design of membrane structures is to search initial smooth surface, because unlike steel or concrete building elements which resist loads in bending, all tension structure forces are carried within the surface by membrane stress. The result for initial surface of pneumatic membrane element and maximum displacement in large deformation in analysis is compared with well-known nonlinear numerical method such as Newton-raphson method and dynamic relaxation method

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A Numerical Method for Cam Synthesis (캠 합서에 관한 수치해석적 방법)

  • 심수섭;김창부
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2000.11a
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    • pp.445-450
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    • 2000
  • In this paper, a numerical method is proposed for cam synthesis. kinematics of closed loop system with cam and follower is presented using relative coordinates. The system is transformed into an open loop system by cutting fictitiously higher-pair contact of cam and follower and envelope constraint equations are derived. Follower constraint equations are derived from the motion of the follower ends. The joint variables and follower profile parameters are calculated from the envelope constraint equations and follower constraint equations by using the Newton - Raphson iterative method. Algorithms for cam synthesis are presented and simulations are done to verify the effectiveness of the proposed method.

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Geometrically nonlinear analysis of thin-walled open-section composite beams

  • Vo, Thuc Phuong;Lee, Jae-Hong
    • Proceeding of KASS Symposium
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    • 2008.05a
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    • pp.113-118
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    • 2008
  • This paper presents a flexural-torsional analysis of thin-walled open-section composite beams. A general geometrically nonlinear model for thin-walled composite beams and general laminate stacking sequences is given by using systematic variational formulation based on the classical lamination theory. The nonlinear algebraic equations of present theory are linearized and solved by means of an incremental Newton-Raphson method. Based on the analytical model, a displacement-based one-dimensional finite element model is developed to formulate the problem. Numerical results are obtained for thin-walled composite beams under general loadings, addressing the effects of fiber angle, laminate stacking sequence and loading parameters.

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Position Measuring System Design using Time Difference of Arrival (송신 신호의 도달 시간차(TDOA)를 이용한 위치 측정 시스템의 구현)

  • Kim, Dong-Uk
    • Proceedings of the KIEE Conference
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    • 2001.11c
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    • pp.394-397
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    • 2001
  • There are several methods of measuring position. For example GPS, AOA, TDOA and using radio camera. In this Paper I used TDOA method in position measuring system. TDOA method uses arrival time difference. In position measuring system, three transfers which is placed in different position transfer signal to receiver in fixed time interval and receiver records arrival time of signal. Because receiver knows idle signal's arrival time, receiver can calculate the difference of the signal's arrival time between idle and real. When we obtain time difference we can know the receiver position by Newton Raphson method.

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