• Title/Summary/Keyword: motion decoupling

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Practical formula for determining peak acceleration of footbridge under walking considering human-structure interaction

  • Cao, Liang;Zhou, Hailei;Chen, Y. Frank
    • Structural Engineering and Mechanics
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    • v.83 no.6
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    • pp.729-744
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    • 2022
  • In this paper, an analytical formulation is proposed to predict the vertical vibration response due to the pedestrian walking on a footbridge considering the human-structure interaction, where the footbridge and pedestrian are represented by the Euler beam and linear oscillator model, respectively. The derived coupled equation of motion is a nonlinear fourth-order partial differential equation. An uncoupled solution strategy based on the combined weighted residual and perturbation method) is proposed to reduce the tedious computation, which allows the separate integration between the bridge and pedestrian subsystems. The theoretical study demonstrates that the pedestrian subsystem can be treated as a structural system with added mass, damping, and stiffness. The analysis procedure is then applied to a case study under the conditions of single pedestrian and multi pedestrians, and the results are validated and compared numerically. For convenient vibration design of a footbridge, the simplified peak acceleration formula and the idea of decoupling problem are thus proposed.

Dynamic Analysis of A High Mobility Tracked Vehicle Using Compliant Track Link Model (유연성 궤도 모델을 사용한 고기동성 궤도차량의 동역학 해석)

  • 백운경;최진환;배대성
    • Journal of KSNVE
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    • v.9 no.6
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    • pp.1259-1266
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    • 1999
  • The objective of this investigation is to develop a compliant track link model and apply this model to the multi-body dynamic analysis of high mobility tracked vehicles. Two major difficulties encountered in developing the compliant track models. The first one is that the integration step size must be kept small in order to maintain the numerical stability of the solution. This solution deals with high oscillatory signals resulting from the impulsive contact forces and stiff compliant elements to represent the joints between the track links. The second difficulty is due to the large number of the system equations of motion of the three dimensional multibody tracked vehicle model. This problem was sloved by decoupling the equations of motion of the chassis subsystem and the track subsystems. Recursive methods are used to obtain a minimum set of equations for the chassis subsystem. Several simulation scenarios were tested for the high mobility tracked vehicle including accelaeration, high speed cruising, braking, and turning motion in order to demonstrate the effectiveness and validity of the methods proposed in this investigation.

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Fuzzy Nonlinear Adaptive Control of Overhead Cranes for Anti-Sway Trajectory Tracking and High-Speed Hoisting Motion (고속 권상운동과 흔들림억제 궤적추종을 위한 천정주행 크레인의 퍼지 비선형 적응제어)

  • Park, Mun-Soo;Chwa, Dong-Kyoung;Hong, Suk-Kyo
    • Journal of the Korean Institute of Intelligent Systems
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    • v.17 no.5
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    • pp.582-590
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    • 2007
  • Nonlinear adaptive control of overhead cranes is investigated for anti-sway trajectory tracking with high-speed hoisting motion. The sway dynamics of two dimensional underactuated overhead cranes is heavily coupled with the trolley acceleration, hoisting rope length, and the hoisting velocity which is an obstacle in the design of decoupling control based anti-sway trajectory tracking control law To cope with this obstacle. we propose a fuzzy nonlinear adaptive anti-sway trajectory tracking control law guaranteeing the uniform ultimate boundedness of the sway dynamics even in the presence of uncertainties in such a way that it cancels the effect of the trolley acceleration and hoisting velocity on the sway dynamics. In particular. system uncertainties, including system parameter uncertainty unmodelled dynamics, and external disturbances, are compensated in an adaptive manner by utilizing fuzzy uncertainty observers. Accordingly, the ultimate bound of the tracking errors and the sway angle decrease to zero when the fuzzy approximation errors decrease to zero. Finally, numerical simulations are performed to confirm the effectiveness of the proposed scheme.

Efficient MCS for random vibration of hysteretic systems by an explicit iteration approach

  • Su, Cheng;Huang, Huan;Ma, Haitao;Xu, Rui
    • Earthquakes and Structures
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    • v.7 no.2
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    • pp.119-139
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    • 2014
  • A new method is proposed for random vibration anaylsis of hysteretic systems subjected to non-stationary random excitations. With the Bouc-Wen model, motion equations of hysteretic systems are first transformed into quasi-linear equations by applying the concept of equivalent excitations and decoupling of the real and hysteretic displacements, and the derived equation system can be solved by either the precise time integration or the Newmark-${\beta}$ integration method. Combining the numerical solution of the auxiliary differential equation for hysteretic displacements, an explicit iteration algorithm is then developed for the dynamic response analysis of hysteretic systems. Because the computational cost for a large number of deterministic analyses of hysteretic systems can be significantly reduced, Monte-Carlo simulation using the explicit iteration algorithm is now viable, and statistical characteristics of the non-stationary random responses of a hysteretic system can be obtained. Numerical examples are presented to show the accuracy and efficiency of the present approach.

Control of Heavy Duty Robot using Robust Proportional Integral Sliding Mode (강인한 비례적분 슬라이딩 모드를 이용한 초중량물 로봇의 제어)

  • Ko, Chang-Min;Park, Seong-Hun;Lee, Hyun-Seok;Kim, Min-Chan;Park, Seung-Kyu;Kim, Doo-Hyeong;Chung, Gwang-Jo
    • Proceedings of the KIEE Conference
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    • 2009.07a
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    • pp.1729_1730
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    • 2009
  • This paper presents comparative experimental results of PI sliding mode control and PI control for a heavy duty robot which can handle an object of 600kg, The gains of the PI control was determined by TAE(Trial and Error) method. This paper presents a novel approach for the decoupling of the states cross-coupling using sliding mode control. The sliding mode control methode is based on the error between reference speeds and the actual speed. The proposed method has the advantages of PI control performance and the sliding mode control robustness. Its first step is to design PI controller, then the sliding mode control input term is added to it. This makes actual implementation of the controller easier. The robot and motion controllers were designed and made by author. The good control performance of the heavy duty robot was obtained by using simple algorithm. This means that the robot was designed very well in control respect.

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Decoupling of Thrust Force and Levitation Force of Transverse Flux Linear Induction Motor by the Active Compensation of Magnetic force across the Air-Gap (공극력의 능동적 보상을 통한 횡자속 선형 유도 구동기의 추력과 부상력의 비연성화)

  • 정광석;백윤수
    • Journal of the Korean Society for Precision Engineering
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    • v.21 no.11
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    • pp.91-98
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    • 2004
  • TFLIM(Transverse Flux Linear Induction Motor), making its closed magnetic path with the direction of the traveling field orthogonal, had been developed to decrease an edge effect of the general induction motor. To control the levitation force and the thrust force on the secondary part of TFLIM independently, the various methodologies have been presented. When we try to achieve the independent control using only the multi-phase inputs assigned in the stator coils as an approach, in which condition we can minimize the coupling effect between two forces\ulcorner In this paper, we show the qualitative influence of a slip frequency, an ac magnitude, a dc offset superposed in the ac power, and a major parameter of TFLIM on the couple through the computer simulation. And to realize the independent motions between levitation and thrust motion without any auxiliary means fur isolation of the secondary part of TFLIM, the decouple compensator is suggested, including the experimental results.

Investigation of the interaction between spin density wave and superconductivity in two band high temperature iron based superconductor Ba1-xNaxFe2As2

  • Teklie Lissanu Tegegne
    • Progress in Superconductivity and Cryogenics
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    • v.26 no.2
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    • pp.9-18
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    • 2024
  • The current study deals with the possible interplay between superconductivity and spin density wave in two band model high temperature iron based superconductor (FeBSC) Ba1-xNaxFe2As2. The electron and hole bands in the presence of the inter-band interaction between the two bands is becoming a vital issue to deal with the high temperature physics of the iron-based superconductors. In this research work, a model Hamiltonian appropriate for the system under consideration has been developed and the temperature dependent Green's function technique has been employed to get the solution for the equations of motion constructed for the two band model high temperature FeBSC Ba1-xNaxFe2As2. By making use of the decoupling procedure, the equations of motion for the dependence of superconducting transition temperature (TC) on spin density wave(SDW) order parameter (ΔSDW) in the electron intra-band (Δsc(e)) , hole intra-band (Δsc(h)) and inter-band (Δsc(eh)) for Ba1-xNaxFe2As2 have been obtained. We have also obtained the expression for the dependence of spin density wave transition temperature(TSDW) on ΔSDW for Ba1-xNaxFe2As2. Using some plausible approximations and appropriate experimental values for the parameters in the obtained equations of motion, phase diagrams of TC versus Δsc(e), Δsc(h) and Δsc(eh) are plotted. Furthermore, a phase diagram of TSDW versus ΔSDW is plotted for the material under consideration. Finally, using the above mentioned phase diagrams, the interplay between superconductivity and spin density wave in the two band model high temperature FeBSC Ba1-xNaxFe2As2 has been demonstrated to be a very distinct possibility. The agreement of the current finding with the experimental observations is quite commendable.

Infulence of Spacer and Degree of Esterification on Thermotropic Liquid Crystalline Properties of Amyloses Bearing Cholesteryl Group (스페이서와 에스터화도가 콜레스테릴 그룹을 지닌 아밀로오스들의 열방성 액정 특성에 미치는 영향)

  • Jeong, Seung-Yong;Ma, Yung-Dae
    • Polymer(Korea)
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    • v.31 no.4
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    • pp.356-367
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    • 2007
  • Three kinds of amylose derivatives such as: cholesteryloxycarbonated amyloses(CAMs) with degree of esterification(DE) ranging from 1.8 to 3, (6-cholesteryloxycarbonyl)pentanoated amyloses(PAMs) with DE ranging from 0.3 to 3, and fully cholesteryloxycarbonated PAMs(CPAMs) were synthesized, and their thermotropic liquid crystalline properties were investigated. CAMs with $DE{\geq}2.6$, PAM with DE=1.6 and all the CPAMs formed enantiotropic cholesteric phases, whereas PAM with $DE{\geq}2.2$ exhibited monotropic cholesteric phases. PAM with $DE{\geq}2.2$ and CPAMs with (6-cholesteryloxycarbonyl)pentanoyl DE (DS) more than 1.0 formed cholesteric phases with left-handed helical structures whose optical pitches (${\lambda}_{m'}s$) decrease with increasing temperature. However, the ${\lambda}_{m'}s$ of these samples decreased with increasing DS at the same temperature. On the other hand, CAMs, PAM with DE=1.6, and CPAM with DS=0.3 did not display reflection colors over the full cholesteric range, suggesting that the helicoidal twisting power of the cholesteryl group highly depends on the length of the spacer joining the cholesteryl group to the main chain and DS. The thermal stability and degree of order in the mesophase observed for the amylose derivatives highly depended on DE or DS. The results were discussed in terms of the difference ul the hydrogen bond, the internal plasticization, and the decoupling of the motion of side group with the main chain.