• Title/Summary/Keyword: Nonlinear Damping

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A Study on the Dynamic Characteristics of Free-Friction Stroke Damper by Finite Element Method (유한요소법을 이용한 Free-Friction Stroke 댐퍼의 동특성 해석)

  • Ku, Hi-Chun;Lee, Jae-Wook;Yoo, Wan-Suk
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.33 no.12
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    • pp.1417-1426
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    • 2009
  • Various types of damper are usually applied to reduce noise and vibration for mechanical systems. Especially, for washing machines, the free-friction stroke damper is installed. The behavior of the free-friction stroke damper has nonlinear characteristics such as hysteresis and viscoelastic properties because of its foam material. First of all, the dynamic experiments were carried out by using a MTS machine to find characteristics of the free-friction stroke damper. And the simulation model of the free-friction stroke damper and characteristics of a foam material were evaluated by using optimization technique. To make a good simulation model which can show the dynamic characteristics, it is important to understand the working mechanism of the damper. The Finite Element Method (FEM) technique can help us instinctively understand the damping phenomenon under operating conditions, because we can observe the condition of damper at every step in the simulation by using it. Also, by changing factors, we can comprehend the variation of characteristics of damper. So, in this paper, a study on the dynamic characteristics of free-friction stroke damper by FEM is focused on. Finally, the possibility which physical experiments can be replaced into simulations is shown.

Position and load-swing control of a 2-dimensional overhead crane (2차원 천정크레인의 위치 및 이송물의 흔들림제어)

  • Lee, Ho-Hoon;Cho, Sung-Kun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.10
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    • pp.1683-1693
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    • 1997
  • In this paper, a new nonlinear dynamic model is derived for a 2-dimensional overhead crane based on a new definition of 2-degree-of-freedom swing angle, and a new anti-swing control law is proposed for the crane. The dynamic model and control law take simultaneous travel and traverse motions of the crane into consideration. The model is first linearized for small motions of the crane load about the vertical stable equilibrium. Then the model becomes decoupled and symmetric with respect to the travel and traverse axes of the crane. From this result, a decoupled anti-swing control law is proposed based on the linearized model via the loop shaping and root locus methods. This decoupled method guarantees not only fast damping of load-swing but also zero steady state position error with optimal transient response for the 2-dimensional motion of the crane. Finally, the proposed control method is evaluated by controlling the simultaneous travel and traverse motions of a 2-dimensional prototype overhead crane. The effectiveness of the proposed control method is then proven by the experimental results.

A friction compensation scheme based on the on-line estimation with a reduced model (축소 모델을 이용한 마찰력의 마찰력의 온라인 추정 및 보상기법)

  • Choi, Jae-Il;Yang, Sang-Sik
    • Journal of Institute of Control, Robotics and Systems
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    • v.2 no.3
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    • pp.174-180
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    • 1996
  • The friction is one of the nonlinearities to be considered in the precise position control of a system which has electromechanical components. The friction has complicated nonlinear characteristics and depends on the velocity, the position and the time. The conventional fixed friction compensator and the controller based on linear control theory may cause the steady state position error or oscillation. The plant to be controlled in this study is a positioning system with a linear brushless DC motor(LBLDCM). The system behaves like a 4th-order model including the compliance and the friction. In this study, the plant model is simplified to a 2nd-order model to reduce the computation in on- line estimation. Also, to reduce the computation time, only the friction is estimated on-line while the mass and the viscous damping coefficient are fixed to the values obtained from off-line estimation. The validity of the proposed scheme is illustrated with the computer simulation and the experiment where the friction is compensated by using the estimation.

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Determination of Structural Performance Point Utilizing The Seismic Isolation Rubber Bearing Design Method (면진격리 고무베어링 설계법을 이용한 구조물의 성능점 예측)

  • 김창훈;좌동훈
    • Journal of the Earthquake Engineering Society of Korea
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    • v.7 no.3
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    • pp.23-30
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    • 2003
  • The seismic base isolation design approach has been reviewed and modified to fit the nonlinear static analysis procedure for determination of the performance point of structures in a simpler way, such an adaptation may be possible for the fact that a structural system under development of damage due to earthquake loading keeps softening to result in period shifting toward longer side. The superiority of the proposed method to the state-of-the-practice approach is that the reasonably accurate performance point can be obtained without constructing the so-called acceleration displacement response spectrum required in application of capacity spectrum method. The validity of the proposed approach was verified by comparing the predicted values to the exact ones presented in the literature.

A Study on the Behaviour of Nonlinear Dynamic Absorber (비선형 동흡진기의 동적거동에 관한 연구)

  • 박철희;송석홍;신현재
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1992.10a
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    • pp.55-58
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    • 1992
  • 일반적으로 기계계 또는 기계요소가 외력을 받아 진동할 때 공진이 문제시 되는 경우가 많다. 이러한 계의 공진 제어에는 주로 댐핑재료(damping material)의 사용이 일반화 되어왔다. 그러나 댐핑재료를 사용한 제어에 있어 서는 계의 특성이나 규모등에 따라 많은 제한요소가 따르는데 특히 구조물 의 규모가 커지거나 복잡해지면, 제어 위치선정에도 어려움이 따르며 그 효 과도 기대하기 어렵다. 다른 방법으로는 기계계의 동적 특성치에 변화를 주 는 것이나, 이를 허용하지 않는 계가 많다. 따라서 이러한 단점들을 보완하 기 위해서 고안된 것이 동흡진기(dynamic absorber)이다. 기존의 선형 동흡 진기[1]는 주공진 부근영역에서 가진되는 계에만 적용이 가능하기 때문에, 흡진기와 기계계의 크기비(ratio)의 결정이 제한적이다. 이런 제한을 극복하 여 비교적 넓은 범위의 가진 주파수에 대해서 최대의 응답을 최소화하기 위 해서는 비선형 동흡진기[5]의 해석이 요구되고 있다. 제어대상의 최적응답을 얻기 위해 흡진기의 크기를 변화시키는 과정을 tuning이라 하는데, 이 과정 을 통해 최적의 감쇠값을 결정할 수 있다. 비선형 흡진기의 장점은 tuning 과정시 비선형 파라미터 변화에 의해 제어가 가능한 영역을 확장할 수 있다. 따라서 본 연구에서는 동흡진기의 tuning 과정시 흡진기의 크기비와 비선형 파라미터비에 따른 효과를 정규모우드를 활용하여 고찰한 후, 최적의 응답을 통해 비선형 동흡진기의 동적 거동을 연구하였다.

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Design and Performance Test of Silencers with Ring-shaped Resonators (환형 공명기가 설치된 소음기 설계 및 성능 시험)

  • Kim, Bong-Ki;Kim, Sang-Ryul;Lee, Seong-Hyun;Lee, Jong-Hwa;Lee, Hae-Seong
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.21 no.4
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    • pp.357-364
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    • 2011
  • In this study, ring-shaped acoustic resonators were proposed to be installed in a silencer to increase the acoustic performance of silencer in the low-frequency range. Evaluation of noise reduction performance of acoustic resonator arrays was carried out by measuring the random-incidence absorption coefficient. It was found that the absorption coefficient of resonator array was measured up to 1 at 125 Hz of 1/3-octave band center frequency. Insertion losses of silencers with ring-shaped acoustic resonator arrays were measured based on ISO 7235. The results were shown that the ring-shaped resonator could increase the insertion loss up to 13 dB without flow, whereas 7 dB when flow speed reached 15 m/s. As increasing the flow speed above 15 m/s, the effect of acoustic resonator decreased due to the effect of nonlinear air damping of the resonator. It was also found that the increment of pressure drop by the presence of resonator arrays was about 9 % at flow speed of 25 m/s.

Design and Scrutiny of Maiden PSS for Alleviation of Power System Oscillations Using RCGA and PSO Techniques

  • Falehi, Ali Darvish
    • Journal of Electrical Engineering and Technology
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    • v.8 no.3
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    • pp.402-410
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    • 2013
  • In this paper, a novel and robust Power System Stabilizer (PSS) is proposed as an effective approach to improve stability in electric power systems. The dynamic performance of proposed PSS has been thoroughly compared with Conventional PSS (CPSS). Both the Real Coded Genetic Algorithm (RCGA) and Particle Swarm Optimization (PSO) techniques are applied to optimum tune the parameter of both the proposed PSS and CPSS in order to damp-out power system oscillations. Due to the high sufficiency of both the RCGA and PSO techniques to solve the very non-linear objective, they have been employed for solution of the optimization problem. In order to verify the dynamic performance of these devices, different conditions of disturbance are taken into account in Single Machine Infinite Bus (SMIB) power system. Moreover, to ensure the robustness of proposed PSS in damping the power system multi-mode oscillations, a Multi Machine (MM) power system under various disturbances are considered as a test system. The results of nonlinear simulation strongly suggest that the proposed PSS significantly enhances the power system dynamic stability in both of the SMIB and MM power system as compared to CPSS.

Seismic responses of asymmetric steel structures isolated with the TCFP subjected to mathematical near-fault pulse models

  • Tajammolian, H.;Khoshnoudian, F.;Bokaeian, V.
    • Smart Structures and Systems
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    • v.18 no.5
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    • pp.931-953
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    • 2016
  • In this paper, the effects of mass eccentricity of superstructure as well as stiffness eccentricity of isolators on the amplification of seismic responses of base-isolated structures are investigated by using mathematical near-fault pulse models. Superstructures with 3, 6 and 9 stories and aspect ratios equal to 1, 2 and 3 are mounted on a reasonable variety of Triple Concave Friction Pendulum (TCFP) bearings considering different period and damping ratio. Three-dimensional linear superstructure mounted on nonlinear isolators are subjected to simplified pulses including fling step and forward directivity while various pulse period ($T_p$) and Peak Ground Velocity (PGV) amounts as two crucial parameters of these pulses are scrutinized. Maximum isolator displacement and base shear as well as peak superstructure acceleration and drift are selected as the main engineering demand parameters. The results indicate that the torsional intensification of different demand parameters caused by superstructure mass eccentricity is more significant than isolator stiffness eccentricity. The torsion due to mass eccentricity has intensified the base shear of asymmetric 6-story model 2.55 times comparing to symmetric one. In similar circumstances, the isolator displacement and roof acceleration are increased 49 and 116 percent respectively in the presence of mass eccentricity. Furthermore, it is demonstrated that torsional effects of mass eccentricity can force the drift to reach the allowable limit of ASCE 7 standard in the presence of forward directivity pulses.

Study of central buckle effects on flutter of long-span suspension bridges

  • Han, Yan;Li, Kai;Cai, C.S.
    • Wind and Structures
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    • v.31 no.5
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    • pp.403-418
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    • 2020
  • To investigate the effects of central buckles on the dynamic behavior and flutter stability of long-span suspension bridges, four different connection options between the main cable and the girder near the mid-span position of the Aizhai Bridge were studied. Based on the flutter derivatives obtained from wind tunnel tests, formulations of self-excited forces in the time domain were obtained using a nonlinear least square fitting method and a time-domain flutter analysis was realized. Subsequently, the influences of the central buckles on the critical flutter velocity, flutter frequency, and three-dimensional flutter states of the bridge were investigated. The results show that the central buckles can significantly increase the frequency of the longitudinal floating mode of the bridge and have greater influence on the frequencies of the asymmetric lateral bending mode and asymmetric torsion mode than on that of the symmetric ones. As such, the central buckles have small impact on the critical flutter velocity due to that the flutter mode of the Aizhai Bridge was essentially the symmetric torsion mode coupled with the symmetric vertical mode. However, the central buckles have certain impact on the flutter mode and the three-dimensional flutter states of the bridge. In addition, it is found that the phenomenon of complex beat vibrations (called intermittent flutter phenomenon) appeared in the flutter state of the bridge when the structural damping is 0 or very low.

Study on the Frame Structure Modeling of the Beam Element Formulated by Absolute Nodal Coordinate Approach

  • Takahashi Yoshitaka;Shimizu Nobuyuki;Suzuki Kohei
    • Journal of Mechanical Science and Technology
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    • v.19 no.spc1
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    • pp.283-291
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    • 2005
  • Accurate seismic analyses of large deformable moving structures are still unsolved problems in the field of earthquake engineering. In order to analyze these problems, the nonlinear finite element method formulated by the absolute nodal coordinate approach is noticed. Because, this formulation has several advantages over the standard procedures on mass matrix, elastic forces and damping forces in the case of large displacement problems. But, it has not been fully studied to build frame structure models by using beam elements in the absolute nodal coordinate formulation. In this paper, we propose the connecting method of the beam elements formulated by the absolute nodal coordinate. The coordinate transformation matrix of this element is introduced into the frame structure. This beam element has the characteristic that the mass matrix and bending stiffiness matrix are constant even if in the case of large displacement problems, and this characteristic is being kept after the transformation. In order to verify the proposed method, we show the numerical simulation results of frame structures for a vibration problem and a large displacement problem.