• Title/Summary/Keyword: nonlinear friction

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$H_{\infty}$ Position Controller Design for Servo Systems Containing Resonance Effects and Coulomb Friction (공진효과 및 클롱마찰이 있는 서보 시스템의 $H_{\infty}$ 위치 제어기 설계)

  • Hong, Kook-Nam;Lim, Dong-Jin
    • Proceedings of the KIEE Conference
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    • 1995.07b
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    • pp.720-725
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    • 1995
  • The most important problems which should be considered in designing servo controllers are resonance effects and nonlinear friction. These problems exist in almost all the servo systems, especially for the robotic maniplators and numerical control systems and cause difficulties in designing controllers. In this paper, controller design procedure which employs $H_{\infty}$ control theory is proposed for the servo systems with these problems. Sometimes, for these systems, there is a possibility of limit cycles due to the interation between the nonlinear friction and integrator. To check the possibility of limit cycles, describing fuction method is used.

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Improvement of the Performance Based Seismic Design Method of Cable Supported Bridges with Resilient-Friction Base Isolation Systems (II-Proposal for the Seismic Design Procedure) (마찰복원형 지진격리장치가 설치된 케이블교량의 성능 기반 내진설계법 개선(II-내진설계 절차 제안))

  • Gil, Heungbae;Park, Sun Kyu;Han, Kyoung Bong;Yoon, Wan Seok
    • Journal of the Earthquake Engineering Society of Korea
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    • v.24 no.4
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    • pp.169-178
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    • 2020
  • In a previous paper, ambient vibration tests were conducted on a cable stayed bridge with resilient-friction base isolation systems (R-FBI) to extract the dynamic characteristics of the bridge and compare the results with a seismic analysis model. In this paper, a nonlinear seismic analysis model was established for analysis of the bridge to compare the difference in seismic responses between nonlinear time history analysis and multi-mode spectral analysis methods in the seismic design phase of cable supported bridges. Through these studies, it was confirmed that the seismic design procedures of the "Korean Highway Bridge Design Code (Limit State Design) for Cable Supported Bridges" is not suitable for cable supported bridges installed with R-FBI. Therefore, to reflect the actual dynamic characteristics of the R-FBI installed on cable-supported bridges, an improved seismic design procedure is proposed that applies the seismic analysis method differently depending on the seismic isolation effect of the R-FBI for each seismic performance level.

Advanced Sorting Conditions Modeling of Frictional Force

  • Cho, Yong-Hee;Lee, Jeong-Wook;Chang, Yong-Hoon;Kim, Jung-Ha
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.439-443
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    • 2004
  • In this research, we describe the sorting conditions modeling by friction force. As in any mechanism which is required to provide good dynamic performance and high accuracy, performance evaluation of optimal control. To understand friction it is necessary to investigate the topography of the sliding surfaces in contact. Any surfaces, even apparently smooth surfaces, are microscopically rough. When two surfaces come into contact, the true contact takes place only at point where asperities come together. The sorting conditions of sorting mechanism with friction force is sorting force must be equal with force can sorting one highest veneer among loaded veneer. This is just a thing being sorted veneer have friction with under veneer and this friction disturb sorting at the same time. Hence, the sorting conditions evaluation is important to sorting one veneer must get under control friction with veneer.

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A Study on the Intelligent Position Control System Using Sliding Mode and Friction Observer (슬라이딩 모드와 마찰관측기를 이용한 강인한 지능형 위치 제어시스템 연구)

  • Han, Seong-Ik;Lee, Yong-Jin;Lee, Kwon-Soon;Nam, Hyun-Do
    • The Transactions of the Korean Institute of Electrical Engineers P
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    • v.59 no.2
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    • pp.163-172
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    • 2010
  • A robust positioning control system has been studied using a friction parameter observer and a recurrent fuzzy neural network based on the sliding model. To estimate a nonlinear friction parameters of the LuGre friction model, a dual friction model-based observer is introduced. In addition, an approximating method for a system uncertainty has been developed using a recurrent fuzzy neural network technique to improve positioning performance. Experimental results have been presented to validate the performance of a proposed intelligent compensation scheme.

Influence of Spring Dynamics and Friction on Dynamic Responses in a Spring-Driven Cam (스프링구동 캠에서 마찰과 스프링운동이 동적응답에 미치는 영향)

  • Ahn, Kil-Young;Kim, Soo-Hyun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.2
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    • pp.247-254
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    • 2003
  • The paper presents the influence of spring dynamics and friction on dynamic responses in a spring-driven cam system. The characteristics of the friction on the camshaft are analyzed using the nonlinear pendulum experiment while the parameters of the friction model are estimated using the optimization technique. The analysis reveals that the friction of the camshaft depends on stick-slip, Stribeck effect and viscous damping. Spring elements are found to have much influence on the dynamic characteristics. Hence, they are modeled as four-degree-of-freedom lumped masses with equivalent springs. The appropriateness of the derived friction model and spring model is verified by its application to a vacuum circuit breaker mechanism of the cam-follower type.

Improved seismic performance of steel moment frames using rotational friction dampers

  • Ali Banazadeh;Ahmad Maleki;Mohammad Ali Lotfollahi Yaghin
    • Earthquakes and Structures
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    • v.25 no.4
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    • pp.223-234
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    • 2023
  • The use of displacement-dependent rotational friction dampers (RFD) as fuses or interchangeable elements in the moment-resisting frames (MRF) is one of the newest methods for improving seismic performance. In the present study, the performance of rotational friction dampers in MRF has been investigated. Evaluation of MRF with and without RFD models was performed using the finite element method by ABAQUS. For validation, an MRF and MRF with rotational friction dampers were modeled that had been experimentally tested and reported in previous experimental research and a good agreement was observed. The behavior of these dampers in frames of 3-, 6-, and 9-story was studied by modeling the damper directly. Nonlinear time history dynamic analysis was used. It was observed that by increasing the number of stories in the buildings, rotational friction dampers should be used to perform properly against earthquakes. The installation of rotational friction dampers in steel moment-resisting frames shows that the drift ratio between the floors is reduced and the seismic performance of these frames is improved.

Numerical calculation method for response of friction pendulum system when XY shear keys are sheared asynchronously

  • Wei, Biao;Fu, Yunji;Jiang, Lizhong;Li, Shanshan
    • Structural Engineering and Mechanics
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    • v.81 no.5
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    • pp.591-606
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    • 2022
  • When the friction pendulum system and shear keys work together to resist the ground motion, which inclined inputs (non 45°) to the bridge structure, the shear keys in XY direction will be sheared asynchronously, endowed the friction pendulum system with a violent curvilinear motion on the sliding surface during earthquakes. In view of this situation, firstly, this paper abandons the equivalent linearization model of friction and constructs a Spring-Coulomb friction plane isolation system with XY shear keys, and then makes a detailed mechanical analysis of the movement process of friction pendulum system, next, this paper establishes the mathematical model of structural time history response calculation by using the step-by-step integration method, finally, it compiles the corresponding computer program to realize the numerical calculation. The results show that the calculation method in this paper takes advantage of the characteristic that the friction force is always µmg, and creatively uses the "circle making method" to express the change process of the friction force and resultant force of the friction pendulum system in any calculation time step, which can effectively solve the temporal nonlinear action of the plane friction; Compared with the response obtained by the calculation method in this paper, the peak values of acceleration response and displacement response calculated by the unidirectional calculation model, which used in the traditional research of the friction pendulum system, are smaller, so the unidirectional calculation model is not safe.

High Performance Position Control of a Pneumatic System (공기압 위치 제어 시스템의 성능 향상에 관한 연구)

  • Jang, J.S.
    • Journal of Power System Engineering
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    • v.2 no.2
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    • pp.60-66
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    • 1998
  • Positioning performance with a normal pneumatic positioning system, is mainly affected by friction force on the actuator and nonlinear characteristics of the control valve. We proposed a positioning system which is composed of a pneumatic actuator and high speed control valve. for accurate and speedy positioning. Driving piston on the actuator is mounted with externally pressurized air bearings to clear the friction force. This paper studies a method in order that improves positioning ability of the pneumatic positioning system considering the nonlinear characteristics of the control valve and the actuator.

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Vibration Control of Shear Wall-Frame System using Energy Dissipation Devices (에너지 소산형 감쇠기를 이용한 철근콘크리트 전단벽-골조 시스템의 진동제어)

  • Park, Ji-Hun;Kim, Gil-Hwan
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.05a
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    • pp.578-581
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    • 2007
  • In this study, the seismic control performance of energy dissipation devices installed in a shear all-frame structure is investigated through nonlinear time history analysis of a 12-story building. Inelastic shear walls are modeled using the multiple vertical line element model (MVLEM) and inelastic columns and girders were modeled using fiber beam elements. For a seismic load increased by 38% compared to the design load, the seismic control performance was analyzed based on the results of a nonlinear time history analysis in terms of the inter-story drift, the story shear and the flexural strain. Friction type dampers was found to performs best if they are installed in the form of a brace adjacent to the shear wall with the friction force of 15 % of the maximum story shear force induced in the original building structure without dampers.

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Design of sliding-type base isolators by the concept of equivalent damping

  • Yang, Yeong-Bin;Chen, Yi-Chang
    • Structural Engineering and Mechanics
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    • v.8 no.3
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    • pp.299-310
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    • 1999
  • One problem with base isolators of the sliding type is that their dynamic responses are nonlinear, which cannot be solved in an easy manner, as distinction must be made between the sliding and non-sliding phases. The lack of a simple method for analyzing structures installed with base isolators is one of the obstacles encountered in application of these devices. As an initial effort toward simplification of the analysis procedure for base-isolated structures, an approach will be proposed in this paper for computing the equivalent damping for the resilient-friction base isolators (R-FBI), based on the condition that the sum of the least squares of errors of the linearized response with reference to the original nonlinear one is a minimum. With the aid of equivalent damping, the original nonlinear system can be replaced by a linear one, which can then be solved by methods readily available. In this paper, equivalent damping curves are established for all ranges of the parameters that characterize the R-FBI for some design spectra.