• Title/Summary/Keyword: One-degree-of-freedom-system

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A Study on the Control of Multi-Input Hydraulic System for Robot Leg using LQR Technique (LQR 기법을 이용한 로봇다리의 다중입력 유압시스템 제어에 관한 연구)

  • Yoo, Sam-Hyeon;Lim, Soo-Chul
    • Journal of the Korea Institute of Military Science and Technology
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    • v.12 no.4
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    • pp.540-547
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    • 2009
  • In the near future, military robots are likely to be substituted for military personnel in the field of battle. The power system of a legged robot is considerably more complex than the one used for a land vehicle because of the coordination and stability issues due to the large number of degree of freedom. In this paper, a servovalve-piston combination system for a straight-line motion of robot leg is modeled as three degree of freedom based on double inputs and single output transfer function. The output is the displacement of piston from neutral. The inputs are valve displacement from neutral and arbitrary load force in this system. LQR(Linear Quadratic Regulator) technique is applied in order to achieve robust stability and fast responses of the system. The Kalman filter loop, rejection of disturbance and noise, riccati equation, filter gain matrix, and frequency domain equality are analyzed and designed.

Dynamic Analysis of Vehicle Steering System Including Gear Backlash (기어의 백래쉬를 고려한 승용차 조향계의 동특성 연구)

  • 김종관
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.5 no.3
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    • pp.40-49
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    • 1996
  • The problem related to the rotational vibration at steering wheel end of passenger cars during high speed driving is investigated. to analyze vibration of steering wheel, a steering system of passenger car is modelled in twelve degrees of freedom including backlash effect of rack and pinion gear system. The one degree of freedom system with backlash in investigated by the analytical method. Consequently the skeleton curve and the frequency response curves are computed. The steering system is analyzed by the numerical simulation using the 4th order Runge-Kutta method, the obtained results are compared with the experimental data. Also the effects of the change of rack gear tooth stiffness and backlash on the acceleration level of steering wheel are investigated. As a result, it can be found that the acceleration level of steering wheel becames lower as the rack gear tooth stiffness becames higher, and that acceleration level becames high as the magnitude of backlash between rack and pinion gear increase.

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Assessment of Code-specified Ground Motion Selection Criteria with Accurate Selection and Scaling Methods - II Seismic Response (구조물 동적해석을 위한 현행 내진설계기준의 입력 지반 운동 선정 조건 타당성 평가 - II 지진응답)

  • Ha, Seong Jin;Han, Sang Whan;Oh, Jang Hyun
    • Journal of the Earthquake Engineering Society of Korea
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    • v.21 no.4
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    • pp.181-188
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    • 2017
  • Current seismic design provisions such as ASCE 7-10 provide criteria for selecting ground motions for conducting response history analysis. This study is the sequel of a companion paper (I - Ground Motion Selection) for assessment of the ASCE 7-10 criteria. To assess of the ASCE 7-10 criteria, nonlinear response history analyses of twelve single degree of freedom (SDF) systems and one multi-degree of freedom (MDF) system are conducted in this study. The results show that the target seismic demands for SDF can be predicted using the mean seismic demands over seven and ten ground motions selected according to the proposed method within an error of 30% and 20%, respectively

Design of Two-Degree-of-Freedom PI Controllers using the Mixed $H_2/H_{\infty}$ Methods ($H_2 / H_{\infty}$ 혼합 기법을 이용한 2자유도 PI 제어기의 설계)

  • 조용석;박기헌
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.33B no.6
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    • pp.12-22
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    • 1996
  • A numerous designs of PI controllers have been suggested to solve out trade-off between tracing and regulating problems. We constructed the PI controller system with two-degree-of-freedom that is more analytic and a better approach to a practical one. In the conventional H$_{2}$ design of optimal PI controllers, the cost function includes only the plant output terms due to the divergent problems. Since the platn input temr is not considered in PI controller design, occasionally, the plant input thends to be either very large or saturated. To solve the prior mentioned problems, we employed a mixed $H_2/H_{\infty}$ method that combines the H$_{2}$ design method to decide optimal parameters of PI controller and the $H_2/H_{\infty}$ design method to minimize the maximum amplitude of plant input. The calculation time of the H$_{infty}$ norm was considerably reduced by the simple scalar function obtained by the wiener-hopf factorization of non-scalar functions.

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A study on the efficient simulation methods for an automatic power transmission system applying dynamic torque constraint (동적 구속조건을 적용한 자동변속장치의 효과적인 시뮬레이션방법에 관한 연구)

  • Jeong, Heon-Sul;Lee, Kyo-Ill
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.22 no.3
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    • pp.504-518
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    • 1998
  • Degree-Of-Freedom(DOF) for most power transmission system varies according to the operation status which consists of friction elements to change the power flow or to adjust the speed ratio such as clutches, brakes or one-way clutches. To simulate the dynamic characteristics of automatic power transmission system which is a typical example of such a variable DOF systems, many sets of governing equations and complicated phase decision routines are necessary. In this paper dynamic constraint theorem is derived explaining the torque transmission characteristics during the clutch engagement process and a robust stable algorithm is developed describing this phase transition phenomenon effectively by introducing the concept of direct torque and virtual damping. Finally, applying this algorithm to a passenger car automatic transmission gear consisting of several friction elements, an efficient simulation methods for such a complex system will be suggested that is very simple and systematic.

Dynamic Behaviors of a Bridge under Seismic Excitations Considering Stiffness Degradation with Various Abutment-Soil Conditions (교대인접토체의 특성에 따른 강성저하를 고려한 교량시스템의 지진거동분석)

  • 김상효;마호성;경규혁;이상우
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2000.04b
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    • pp.347-354
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    • 2000
  • The seismic behaviors of a bridge system with several simple spans are examined to see the effects of the longitudinal stiffness degradation due to abutment-soil interaction. The abutment-backfill system is modeled as one degree-of-freedom-system with nonlinear spring and linear damper. various soil-conditions surrounding the abutment such as loose sand, medium dense sand, and dense sand are considered in the bridge seismic analysis. The idealized mechanical model for the whole bridge system is modeled by adopting the multiple-degree-of-freedom system, which can consider components such as pounding phenomena, friction at the movable supports, rotational and translational motions of foundations, and the nonlinear pier motions. The stiffness of the abutment is found to be rapidly reduced at the beginning of the earthquakes, and to be converged to constant values shortly after the displacement approaches to the Predefined critical values. It is observed that the maximum relative distanced an maximum relative displacements are generally Increased as the relative density of a soil decreases As the peak ground acceleration increases, the response ratio of the case considering stiffness degradation to the case considering constant stiffness decreases.

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A study of the Modeling of Paramenters in End-Mill System (End - Mill 절삭계의 파라메터 모델링에 관한 연구)

  • 백대균;김희술
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.10a
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    • pp.173-178
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    • 1995
  • This paper presents a new method to obtain parameters of end-mill cutting system. For high speed milling and precision surface finish, we have to predict the deflection of tool and the critical depth of cut. The cutting system can be modeled to a vibratory system to obtain the deflection of tooll and the critical depth of cut. A new method of the modeling of one degree of freedom system was developed using bisection method, ARMA(Autoregressive Moving average) and impact test.

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Theoretical Analysis at One Degree-at-Freedom Model for Rolling at Ships with Focus on Capsize (횡동요에 기인하는 전복에 대한 1-자유도계 모형의 이론해석)

  • Lee, Seung-Joan
    • Journal of the Society of Naval Architects of Korea
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    • v.43 no.1 s.145
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    • pp.22-31
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    • 2006
  • Recent studies have shown that the short time solution of the equation of motion for the rolling of ships is important in deciding the possibility of capsize of ships due to the excessive heel. Since most of known solutions for nonlinear equations of motion are long time or steady periodic solutions, here a simple way is described to get the short time solutions of the Duffing equation, which was chosen for deriving a criterion for the capsize of the ship. With the small external rolling moment, we first assume the state of the small damping and near resonance. Then, for cases when the frequency of the external moment is higher than the resonant one, an inequality was derived as a criterion for the capsize. This gives the range of the initial condition and the magnitude of the external moment which should be avoided for a ship to be safe from capsize. Furthermore, from the linearized equation, it is also shown that a simple and self-explanatory solution can be obtained consistent with that for the case of no damping, which yields the well-known linear growth with time.

Robust Control Design for Robots with Flexible Joint and Link

  • Jung, Eui-Jin;Ha, In-Chul;Kim, Chang-Gyul;Han, Myung-Chul
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.113.5-113
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    • 2001
  • In this work, we consider the flexible manipulator system. Generally, the manipulator system may often be made on the base of the imperfect modeling, joint friction, payload change, and external disturbances. These elements are uncertain factors. These uncertainties and flexibility make difficult to control the system. To overcome these defects, a class of robust control law is proposed for the flexible manipulator system and the singular perturbation approach is applied. To show the effectiveness of this control law, simulation is presented for one degree of freedom flexible joint and flexible link system.

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Use of equivalent spring method for free vibration analyses of a rectangular plate carrying multiple three-degree-of-freedom spring-mass systems

  • Wu, Jia-Jang
    • Structural Engineering and Mechanics
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    • v.21 no.6
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    • pp.713-735
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    • 2005
  • Due to the complexity of mathematical expressions, the literature concerning the free vibration analysis of plates carrying multiple three-degree-of-freedom (dof) spring-mass systems is rare. In this paper, the three degrees of freedom (dof's) for a spring-mass system refer to the translational motion of its lumped mass in the vertical ($\bar{z}$) direction and the two pitching motions of its lumped mass about the two horizontal ($\bar{x}$ and $\bar{y}$) axes. The basic concept of this paper is to replace each three-dof spring-mass system by a set of equivalent springs, so that the free vibration characteristics of a rectangular plate carrying any number of three-dof spring-mass systems can be obtained from those of the same plate supported by the same number of sets of equivalent springs. Since the three dof's of the lumped mass for each three-dof spring-mass system are eliminated to yield a set of equivalent springs, the total dof of the entire vibrating system is not affected by the total number of the spring-mass systems attached to the rectangular plate. However, this is not true in the conventional finite element method (FEM), where the total dof of the entire vibrating system increases three if one more three-dof spring-mass system is attached to the rectangular plate. Hence, the computer storage memory required by using the presented equivalent spring method (ESM) is less than that required by the conventional FEM, and the more the total number of the three-dof spring-mass systems attached to the plate, the more the advantage of the ESM. In addition, since manufacturing a spring with the specified stiffness is much easier than making a three-dof spring-mass system with the specified spring constants and mass magnitude, the presented theory of replacing a three-dof spring-mass system by a set of equivalent springs will be also significant from this viewpoint.