• Title/Summary/Keyword: linearized approach

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On Effects of Large-Deflected Beam Analysis by Iterative Transfer Matrix Approach

  • Sin, Jung-Ho
    • 한국기계연구소 소보
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    • s.18
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    • pp.131-136
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    • 1988
  • A small-deflected beam can be easily solved by assuming a linear system. But a large-deflected beam can not be solved by superposition of the displacements, because the system is nonlinear. The solutions for the large-deflection problems can not be obtained directly from elementary beam theory for linearized systems since the basic assumptions are no longer valid. Specifically, elementary theory neglects the square of the first derivative in the beam curvature formula and provides no correction for the shortening of the moment-arm cause by transverse deflection. These two effects must be considered to analyze the large deflection. Through the correction of deflected geometry and internal axial force, the proposed new approach is developed from the linearized beam theory. The solutions from the proposed approach are compared with exact solutions.

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Linearized Transistor Model Based Automated Biasing Scheme for Analog Integrated Circuits

  • Lacek, Matthew;Nahra, Daniel;Roter, Ben;Lee, Kye-Shin
    • Journal of Multimedia Information System
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    • v.8 no.2
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    • pp.143-146
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    • 2021
  • This work presents an automated transistor biasing scheme for analog integrated circuits. In order to effectively bias the transistor at a desired operating point, the proposed method uses a linearized transistor circuit model along with the curve fitted expressions obtained from the pre-simulated I-V characteristics of the actual transistor. As a result, the transistor size that leads to the desired operating point can be easily determined without heavily relying on the circuit simulator, which will lead to significant design time reduction. Furthermore, the proposed method is applied to an actual amplifier circuit where the design time based on the proposed biasing method showed 10× faster than the conventional design approach using the circuit simulator.

Pseudosteady-State Approach to Calculate Long-Time Performance of Closed Gas Reservoirs (유사정상상태 해법을 이용한 폐쇄 가스저류층의 장기거동 계산)

  • Lee Kun Sang
    • 한국가스학회:학술대회논문집
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    • 1998.09a
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    • pp.241-246
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    • 1998
  • This paper considers the applicability of a pseudosteady-state approach to the long-time behavior of real gas flow in a closed reservoir. The method involves a combination of a linearized gas diffusivity equation using a normalized pseudotime and a material balance equation. Comparison with a commercial reservoir simulator showed that highly accurate values of pseudopressure drawdown and well pressure are obtained by the pseudosteady-state approach with much less computational effort.

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Self-Tuning Pole-Placement Control Of Robotic Manipulators With An Inverse Modela (로보트 매니퓰레이터의 역모델을 갖는 자기동조 극배치 제어)

  • 이은옥;양해원
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10a
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    • pp.50-53
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    • 1988
  • This paper presents an approach to the position control of a robot manipulator by using a self-tuning pole-placement controller with an inverse model. The linearized independent difference equations of manipulator motion are obtained, and the parameters of these models are estimated on line. The controller is composed of two parts, the primary controller obtains desired torques by using an inverse model and the secondary controller computes variational torques on the basis of induced perturbation equations by minimizing a quadratic criterion with a closed-loop pole-placement. Simulation is performed to demonstrate the effectiveness of this approach.

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A Finite Impulse Response Fixed-lag Smoother for Discrete-time Nonlinear Systems (이산 비선형 시스템에 대한 유한 임펄스 응답 고정 시간 지연 평활기)

  • Kwon, Bo-Kyu;Han, Sekyung;Han, Soohee
    • Journal of Institute of Control, Robotics and Systems
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    • v.21 no.9
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    • pp.807-810
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    • 2015
  • In this paper, a finite impulse response(FIR) fixed-lag smoother is proposed for discrete-time nonlinear systems. If the actual state trajectory is sufficiently close to the nominal state trajectory, the nonlinear system model can be divided into two parts: The error-state model and the nominal model. The error state can be estimated by adapting the optimal time-varying FIR smoother to the error-state model, and the nominal state can be obtained directly from the nominal trajectory model. Moreover, in order to obtain more robust estimates, the linearization errors are considered as a linear function of the estimation errors. Since the proposed estimator has an FIR structure, the proposed smoother can be expected to have better estimation performance than the IIR-structured estimators in terms of robustness and fast convergence. Additionally the proposed method can give a more general solution than the optimal FIR filtering approach, since the optimal FIR smoother is reduced to the optimal FIR filter by setting the fixed-lag size as zero. To illustrate the performance of the proposed method, simulation results are presented by comparing the method with an optimal FIR filtering approach and linearized Kalman filter.

Control of Two-Link Manipulator Via Feedback Linearization and Constrained Model Based Predictive Control

  • Son, Won-Kee;Park, Jin-Young;Ryu, Hee-Seb;Kwon, Oh-Kyu
    • Transactions on Control, Automation and Systems Engineering
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    • v.2 no.4
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    • pp.221-227
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    • 2000
  • This paper combines the constrained model predictive control with the feedback linearization to solve a nonlinear system control problem with input constraints. The combined approach consists of two steps: Firstly, the nonlinear model is linearized by the feedback linearization. Secondly, based on the linearized model, the constrained model predictive controller is designed taking input constraints into consideration. The proposed controller is applied to two link robot system, and tracking performances of the controller are investigated via some simulations, where the comparisons are done for the cases of unconstrained, constrained input in feedback linearization.

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Robust design of a steer-by-wire control system using QFT (QFT를 이용한 SBW 시스템의 강인 제어기 설계)

  • Kim, Seok-Woo;Kwon, Hyuk-Lyong;Kim, Young-Chol
    • Proceedings of the KIEE Conference
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    • 1997.07b
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    • pp.504-506
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    • 1997
  • The steer-by-wire (SBW) system has nonlinear dynamics inherently. In classical approach, the controller has been designed on a linearized model which corresponds to only an operating point. In this paper, a set of linearized model that is generated at different operating ranges is replaced by a linear transfer function having parametric uncertainty. Then a design method for robust control using QFT is represented. The Kharitonov like analyses shows that the proposed controller satisfies the given robust performance specifications well.

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Dynamic Stability Analysis of a Single Cam Drive Mechanism (단일 캠 구동기구의 동 안정성 해석)

  • 김홍보;전혁수;이종원;박윤식
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.3
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    • pp.526-533
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    • 1990
  • The dynamic stability of a single cam drive mechanism is investigated by an analytical approach. The nonlinear differential equation describing the motion of a single cam drive mechanism is linearized with respect to the imput power angle, and results a linear parametric differential equation. The instability region is examined by applying the harmonic balance method to linearized parametric equation having periodicity. Through the dynamic stability analysis of a single cam drive mechanism, it is observed that the parametric resonances exist and the instability regions tend to become wide as increasing the drive speed and follower mass.

Instability of pipes and cables in non-homogeneous cross-flow

  • Riera, Jorge D.;Brito, J.L.V.
    • Wind and Structures
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    • v.1 no.1
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    • pp.59-66
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    • 1998
  • The vibrations of bodies subjected to fluid flow can cause modifications in the flow conditions, giving rise to interaction forces that depend primarily on displacements and velocities of the body in question. In this paper the linearized equations of motion for bodies of arbitrary prismatic or cylindrical cross-section in two-dimensional cross-flow are presented, considering the three degrees of freedom of the body cross-section. By restraining the rotational motion, equations applicable to circular tubes, pipes or cables are obtained. These equations can be used to determine stability limits for such structural systems when subjected to non uniform cross-flow, or to evaluate, under the quasi static assumption, their response to vortex or turbulent excitation. As a simple illustration, the stability of a pipe subjected to a bidimensional flow in the direction normal to the pipe axis is examined. It is shown that the approach is extremely powerful, allowing the evaluation of fluid-structure interaction in unidimensional structural systems, such as straight or curved pipes, cables, etc, by means of either a combined experimental-numerical scheme or through purely numerical methods.

Linearized instability analysis of frame structures under nonconservative loads: Static and dynamic approach

  • Hajdo, Emina;Mejia-Nava, Rosa Adela;Imamovic, Ismar;Ibrahimbegovic, Adnan
    • Coupled systems mechanics
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    • v.10 no.1
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    • pp.79-102
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    • 2021
  • In this paper we deal with instability problems of structures under nonconservative loading. It is shown that such class of problems should be analyzed in dynamics framework. Next to analytic solutions, provided for several simple problems, we show how to obtain the numerical solutions to more complex problems in efficient manner by using the finite element method. In particular, the numerical solution is obtained by using a modified Euler-Bernoulli beam finite element that includes the von Karman (virtual) strain in order to capture linearized instabilities (or Euler buckling). We next generalize the numerical solution to instability problems that include shear deformation by using the Timoshenko beam finite element. The proposed numerical beam models are validated against the corresponding analytic solutions.