• Title/Summary/Keyword: matrix force method

Search Result 301, Processing Time 0.022 seconds

Dynamic Modeling and Analysis of Flexible Mechanism With Joint Clearance (유연한 기구의 틈새관절 모델링 및 해석방법에 관한 연구)

  • 홍지수;김호룡
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.18 no.12
    • /
    • pp.3109-3117
    • /
    • 1994
  • To operate a flexible mechanism in high speed its weight must be reduced as far as the structural strength does not decrease too much, but a light-weighted mechanism causes undesirable elastodynamic responses deteriorating the system performance. Besides, clearance within the connections of mechanisms causes rapid wear, increased noise and vibration. Even if the problems described above must be considered in the initial design stage, there has been no effective design process which takes account of the correlation between dynamic characteristics of flexible mechanism and the clearance effect at the joint. In this study, the generalized elastodynamic governing equations which include dynamic characteristics and boundary conditions of flexible mechanism are derived by variational calculus and solved by using FFM theory. To take the clearance effect at joint into account a new dynamic model is presented and also the method of modified stiffness/damping matrix is proposed to activate the dynamic clearance model, which cooperates with the developed governing equation very easily. As the results of this study, the proposed method(modified stiffness/damping matrix) to calculate clearance effect was proved to be superior to the existing one(force reaction method) in solution convergency and calculation performance. Besides this method can be easily adopted to the complex shape joint without calculation of reaction force direction.

Dynamic Analysis of the Cracked Timoshenko Beam under a Moving Mass using Finite Element Method (유한요소법을 이용한 이동질량 하에 크랙을 갖는 티모센코 보의 동특성 연구)

  • Kang Hwan-Jun;Lee Shi-Bok;Hong Keum-Shik;Jeon Seung-Min
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
    • /
    • 2004.11a
    • /
    • pp.271-276
    • /
    • 2004
  • In this paper. dynamic behavior of the cracked beam under a moving mass is presented using the finite element method (FEM). Model accuracy is improved with the following consideration: (1) FE model with Timoshenko beam element (2) Additional flexibility matrix due to crack presence (3) Interaction forces between the moving mass and supported beam. The Timoshenko bean model with a two-node finite element is constructed based on Guyan condensation that leads to the results of classical formulations. but in a simple and systematic manner. The cracked section is represented by local flexibility matrix connecting two unchanged beam segments and the crack as modeled a massless rotational spring. The inertia force due to the moving mass is also involved with gravity force equivalent to a moving load. The numerical tests for various mass levels. crack sizes. locations and boundary conditions were performed.

  • PDF

Improved Numerical Method Evaluating Exact Static Element Stiffness Matrices of Beam on Elastic Foundations (탄성지반위의 보의 엄밀한 강성계산을 위한 개선된 해석방법)

  • Kim Nam-Il;Lee Jun-Seok;Kim Moon-Young
    • Proceedings of the Computational Structural Engineering Institute Conference
    • /
    • 2006.04a
    • /
    • pp.589-596
    • /
    • 2006
  • An improved numerical method to obtain the exact element stiffness matrix is newly proposed to perform the spatially coupled elastic and stability analyses of non-symmetric thin-walled beam-columns with two-types of elastic foundation. This method overcomes drawbacks of the previous method to evaluate the exact stiffness matrix for the spatially coupled stability analysis of thin-walled beam-column. This numerical technique is firstly accomplished via a generalized eigenproblem associated with 14 displacement parameters by transforming equilibrium equations to a set of first order simultaneous ordinary differential equations. Then exact displacement functions are constructed by combining eigensolutions and polynomial solutions corresponding to non-zero and zero eigenvalues, respectively. Consequently an exact stiffness matrix is evaluated by applying the member force-deformation relationships to these displacement functions.

  • PDF

On Force-Moment Transmission of Parallel Manipulator (병렬형 매니퓰레니타의 힘전달 특성에 관하여)

  • 안병준;홍금식
    • Proceedings of the Korean Society of Precision Engineering Conference
    • /
    • 1995.04b
    • /
    • pp.246-250
    • /
    • 1995
  • This paper presents a method in analyzing the output force/moments transmission form the applied input forces of the paralled manipulator. Like a serial manipulator the Jacobian matrix introduced in the paper plays role in relating the output forces/monents with the input forces. The force/moment manipulability have been investigated by considering the force transmission and momen transmission independently. Sensitivity analysis has been done and an illuatrating example is given.

  • PDF

An Analytical Investigation on Vibrational Characteristics of Turbo Compressor (터보압축기의 진동 특성에 관한 해석적 연구)

  • 이형우;이동환;박노길
    • Journal of KSNVE
    • /
    • v.8 no.6
    • /
    • pp.1069-1077
    • /
    • 1998
  • A dynamic model of turbo compressor having helical gear pairs is developed. The model accounts for the shaft and bearing flexibilities, gyroscopic effects and the force couplings among the transverse, torsion. and axial motions due to gearings. For the mode analysis of turbo compressor, a transfer matrix method is used. The excitation sources caused by the mass unbalances of the rotors and misalignment of the shafts, the transmitted errors of the gearings. and the vane passing frequencies of the Impeller are studied qualitatively. By introducing the perturbation method, the generated forcing frequencies are defined and devided into three groups. With the field data, two critical speeds are analytically found and the corresponding modal characteristics are examined.

  • PDF

A Study on the Forced Torsional Vibration of Engines Shafting Systems with Non-linear Elastic Couplings (비선형 탄성커플링을 갖는 기관축계의 비틀림강제진동에 관한 연구)

  • 박용남
    • Journal of Advanced Marine Engineering and Technology
    • /
    • v.22 no.3
    • /
    • pp.328-336
    • /
    • 1998
  • Marine reduction gears are usually used to increase the propulsion efficiency of propellers for ships powered by medium and small sized high speed diesel engines. Most of shaft systems adopt flexible couplings to absorb the transmitted vibratory torque from the engines to the reduction gears and to prevent the chattering phenomenon of reduction gears. However some elastic couplings show non-linear characteristics due to the variable torque transmitted from the main engines and the change of ambient temperature. In this study dynamic characteristics of flexible couplings sare investigated and their effects upon various vibratory conditions of propulsion systems are clarified. A calculation program of torsional vibration for the propulsion systems are clarified. A calculation program of Results of the program developed are compared with ones of the existing linear method and propulsion systems with the elastic couplings the transfer matrix method is adopted which is found to give satisfied results.

  • PDF

Dynamic stiffness matrix method for axially moving micro-beam

  • Movahedian, Bashir
    • Interaction and multiscale mechanics
    • /
    • v.5 no.4
    • /
    • pp.385-397
    • /
    • 2012
  • In this paper the dynamic stiffness matrix method was used for the free vibration analysis of axially moving micro beam with constant velocity. The extended Hamilton's principle was employed to derive the governing differential equation of the problem using the modified couple stress theory. The dynamic stiffness matrix of the moving micro beam was evaluated using appropriate expressions of the shear force and bending moment according to the Euler-Bernoulli beam theory. The effects of the beam size and axial velocity on the dynamic characteristic of the moving beam were investigated. The natural frequencies and critical velocity of the axially moving micro beam were also computed for two different end conditions.

Generalized optimal active control algorithm with weighting matrix configuration, stability and time-delay

  • Cheng, Franklin Y.;Tian, Peter
    • Structural Engineering and Mechanics
    • /
    • v.1 no.1
    • /
    • pp.119-135
    • /
    • 1993
  • The paper presents a generalized optimal active control algorithm for earthquake-resistant structures. The study included the weighting matrix configuration, stability, and time-delays for achieving control effectiveness and optimum solution. The sensitivity of various time-delays in the optimal solution is investigated for which the stability regions are determined. A simplified method for reducing the influence of time-delay on dynamic response is proposed. Numerical examples illustrate that the proposed optimal control algorithm is advantageous over others currently in vogue. Its feedback control law is independent of the time increment, and its weighting matrix can be flexibly selected and adjusted at any time during the operation of the control system. The examples also show that the weighting matrix based on pole placement approach is superior to other weighting matrix configurations for its self-adjustable control effectiveness. Using the time-delay correction method can significantly reduce the influence of time-delays on both structural response and required control force.

Dynamic characteristics and control of submerged working robot manipulator (수중작업 로봇의 동특성 및 제어에 관한 연구)

  • 강이석;송정섭;조형석
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.15 no.2
    • /
    • pp.488-496
    • /
    • 1991
  • Dynamic chanracterisitcs and control of a submerged working robot manipulator have been investigated for articulated type robot manipulator with three revoluted joints. A dynamic equation of the manipulator has been derived. The dynamic equation includes not only mass matrix, centrifugal and Coriolis terms and gravity terms but also added mass, buoyant force and drag force terms, which are important terms for underwater motion description. A series of simulations using computed torque method have been performed for the cases of straight and circular trajectory motion controls. The results of this study show that the dynamic characteristics of the submerged working robot manipulator are very different from that of the manipulator which works in air. The influences of added mass, buoyant force and drag force terms to the total required torques have been discussed as distribution ratios to the total required torques.

robust independant controller for position, motion-inducing force, internal force of multi-robot system) (다중 로보트 시스템의 위치, 운동야기힘, 내부힘의 강건 독립 제어기)

  • 김종수;박세승;박종국
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 1996.10b
    • /
    • pp.539-542
    • /
    • 1996
  • The forces exerted on an object by the end-effectors of multi-manipulators are decomposed into the motion-inducing force and the internal force. Motion-inducing force effects the motion of an object and internal force can't effect it. The motion of an object can't track exactly the desired motion because of internal force component, therefore internal force component must be considered. In this paper using the resolved acceleration control method and the fact that internal force lies in the null space of jacobian matrix, we construct independently the position, motion-inducing force and internal force controller. Secondly we construct the robust controller to preserve the robustness with respect to the uncertainty of manipulator parameters.

  • PDF