• Title/Summary/Keyword: Boundary mode method

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Precise Control for Servo Systems Using Sliding Mode Observer and Controller (슬라이딩 모드 관측기와 제어기를 이용한 서보시스템의 정밀제어)

  • Han, Seong-Ik;Gong, Jun-Hui;Sin, Dae-Wang;Kim, Jong-Sik
    • Journal of the Korean Society for Precision Engineering
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    • v.19 no.7
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    • pp.154-162
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    • 2002
  • The effect of nonlinear friction in the low velocity is dominant in precise controlled mechanisms and it is difficult to model. This paper is concerned with the compensation for friction using the variable structure system approach as nonmodel based method. The problem of chattering in the sliding mode controller is suppressed by the implementation of the boundary layer concept. And the estimation for friction using sliding mode observer makes the upper bound of matched uncertainty reduced. Accordingly, the effect of chattering can be more suppressed. And the sliding surface is constructed by adding an integral component to the switching function that is made by using error dynamics. This sliding surface guarantees the good tracking performance. Experimental results for a XY table system show that the proposed method has a good performance especially in the low velocity.

Dynamic Response Analysis of Top-tensioned Riser Under Sheared Current Load (전단류 하중을 받는 상부장력 라이저의 동적 응답 해석)

  • Kim, Kookhyun
    • Journal of Ocean Engineering and Technology
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    • v.27 no.4
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    • pp.83-89
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    • 2013
  • A numerical scheme based on a mode superposition method is presented for the dynamic response analysis of a top-tensioned riser (TTR) under sheared current loads. The natural frequencies and mode shapes of the TTR have been calculated analytically for a beam with a slowly varying tension and pinned-pinned boundary conditions at the top and bottom ends. The lift coefficients and corresponding amplitudes used to estimate the vortex-induced modal force and damping for each mode were predicted via iterative calculations based on the input and output power balancing concept. Here, the power-in regions were controlled by the normal distribution function, for which the center was coincident with the lock -in location by local vortex-shedding, and the range was defined by the constant standard deviation for the reduced velocity by the local current speed. Finally, dynamic responses such as root-mean-squared displacement and stress were calculated using the mode superposition technique. In order to verify the presented scheme, a numerical calculation was performed for a TTR under an arbitrary linearly sheared current and linearly varying tension. A comparison with the results of the existing software showed that the presented scheme could give reliable and feasible solutions. Case studies were performed to investigate the effects of various current loads and tensions.

Buckling analysis of tapered BDFGM nano-beam under variable axial compression resting on elastic medium

  • Heydari, Abbas;Shariati, Mahdi
    • Structural Engineering and Mechanics
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    • v.66 no.6
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    • pp.737-748
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    • 2018
  • The current study presents a new technique in the framework of the nonlocal elasticity theory for a comprehensive buckling analysis of Euler-Bernoulli nano-beams made up of bidirectional functionally graded material (BDFGM). The mechanical properties are considered by exponential and arbitrary variations for axial and transverse directions, respectively. The various circumstances including tapering, resting on two-parameter elastic foundation, step-wise or continuous variations of axial loading, various shapes of sections with various distribution laws of mechanical properties and various boundary conditions like the multi-span beams are taken into account. As far as we know, for the first time in the current work, the buckling analyses of BDFGM nano-beams are carried out under mentioned circumstances. The critical buckling loads and mode shapes are calculated by using energy method and a new technique based on calculus of variations and collocation method. Fast convergence and excellent agreement with the known data in literature, wherever possible, presents the efficiency of proposed technique. The effects of boundary conditions, material and taper constants, foundation moduli, variable axial compression and small-scale of nano-beam on the buckling loads and mode shapes are investigated. Moreover the analytical solutions, for the simpler cases are provided in appendices.

Sliding mode control based on neural network for the vibration reduction of flexible structures

  • Huang, Yong-An;Deng, Zi-Chen;Li, Wen-Cheng
    • Structural Engineering and Mechanics
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    • v.26 no.4
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    • pp.377-392
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    • 2007
  • A discrete sliding mode control (SMC) method based on hybrid model of neural network and nominal model is proposed to reduce the vibration of flexible structures, which is a robust active controller developed by using a sliding manifold approach. Since the thick boundary layer will reduce the virtue of SMC, the multilayer feed-forward neural network is adopted to model the uncertainty part. The neural network is trained by Levenberg-Marquardt backpropagation. The design objective of the sliding mode surface is based on the quadratic optimal cost function. In course of running, the input signal of SMC come from the hybrid model of the nominal model and the neural network. The simulation shows that the proposed control scheme is very effective for large uncertainty systems.

The Effect of Liquid Level on the Natural Frequencies of a Partially Liquid-Filled Circular Cylindrical Shell (유체로 채워진 원통형 쉘의 고유진동수에미치는 수위의 영향)

  • 정경훈;이성철
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.04b
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    • pp.314-319
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    • 1995
  • The effect of liquid level on the natural frequencies and mode shapes of a partially liquid-filled circular cylindrical shell with various boundary conditions is investigated by means of a theoretical analysis based upon Fourier series expansion method and a finite element analysis using ANSYS computer program. Two dimensional mode shapes of the liquid-coupled shell structure are obtained by the ANSYS finite element analysis and show that the liquid level affect the nodal point movement. It is found that the variation of normalized naturalfrequencies (natural frequencies of liquid-filled shell/antural frequencies ofempty shell) to the liquid level is depend on the axial mode numbers and circumferential wave numbers. Additionally, it is found that the number of variational steps of normalized natural frequencies is identicial to that of axial nodal points of the mode shape.

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Chatter Mode and Stability Boundary Analysis in Turning (선반가공시 채터 모드 및 안정영역 분석)

  • Oh Sang-Lok;Chin Do-Hun;Yoon Moon-Chul;Ryoo In-Il;Ha Man-Kyun
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.14 no.5
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    • pp.7-12
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    • 2005
  • This paper presents several time series methods to analyze the chatter mechanics by using the power spectrum of these algorithms considering the cutting dynamics. In this study, several time series models such as AR(burg, forwardbackward, geometric lattice, instrument variable, least square, Yule Walker), ARX(1s, iv4), ARMAX, ARMA, Box Jenkins, Output Error were modeled and compared with one another. Finally, it was proven that time series modelings are also a desirable and reliable algorithm than the other conventional methods(FFT) for the calculation of the chatter mode in turning operation. Also, the spectrum of times series methods is a little bit more powerful than the FFT fer the detection of a high noisy and weak chatter mode. The radial cutting force Fy has been used for spectrum and chatter stability lobe analysis in this study.

Mode Matching Technique in a Cylindrical Cavity with Center Wire

  • Han, Dae Hyun
    • Journal of Multimedia Information System
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    • v.5 no.2
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    • pp.143-146
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    • 2018
  • The eigen value problem of a coaxial cavity and a modified pill box cavity is investigated using the mode matching technique. The coaxial cavity has a cylindrical cavity with beam ports and center conductor. The pill box cavity is the same as a coaxial cavity without center conductor. The electric field and magnetic field are formulated in propagation region and resonance region. The boundary and orthogonal conditions are applied to the electric and magnetic fields. We derived the eigen value equation by the proposed procedure in a coaxial cavity and a modified pill box cavity. The electromagnetic field of the real structure is disturbed by the coaxial wire. The effect of the coaxial wire in pill box cavity with beam ports increase the dominant resonant frequency. The coaxial line method of the coupling impedance is not adequate for a cylindrical cavity. The results of the mode matching technique and simulation agree well. The results confirm the proposed formulation is valid.

Fast I Slice Encoding/Decoding Method in H.264/AVC (H.264/AVC에서 고속 I Slice 부호화/복호화 방법)

  • Oh, Hyung-Suk;Shin, Dong-In;Kim, Won-Ha
    • Journal of the Institute of Electronics Engineers of Korea CI
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    • v.46 no.2
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    • pp.1-9
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    • 2009
  • This paper develops a fast method performing intra prediction which only restores block boundary pixels without decoding all blocks in an I slice of H.264/AVC. To accomplish this, we develop a fast integer inverse DCT scheme that quickly decodes residual block boundary which can be consisted of references pixels. we add the restored block boundary pixels and appropriate calculated prediction pixels for each intra prediction mode and consist of needed reference pixels. The experiments showed that the proposed method produces the reliable performance with reducing the computational complexity, compared to conventional method when applied to H.264/AVC integer DCT.

A Study on Distinct Element Modelling of Dilatant Rock Joints (팽창성 암석절리의 개별요소 모델링에 관한 연구)

  • 장석부;문현구
    • Tunnel and Underground Space
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    • v.5 no.1
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    • pp.1-10
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    • 1995
  • The behavior of a jointed rock mass depends mainly on the geometrical and mechanical properties of joints. The failure mode of a rock mass and kinematics of rock blocks are governed by the orientation, spacing, and persistence of joints. The mechanical properties such as dilation angle, shear strength, maximum closure, strength of asperities and friction coeffiient play important roles on the stability and deformation of the rock mass. The normal and shear behaviour of a joint are coupled due to dilation, and the joint deformation depends also on the boundary conditions such as stiffness conditons. In this paper, the joint constitutive law including the dilatant behaviour of a joint is numerically modelled using the edge-to-edge contact logic in distinct element method. Also, presented is the method to quantify the input parameters used in the joint law. The results from uniaxial compression and direct shear tests using the numeical model of the single joint were compared to the analytic results from them. The boundary effect on the behaviour of a joint is verified by comparing the results of direct shear test under constant stress boundary condition with those under constant stiffness boundary condition. The numerical model developed is applied to a complex jointed rock mass to examine its performance and to evaluate the effect of joint dilation on tunnel stability.

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Non linear vibrations of stepped beam systems using artificial neural networks

  • Bagdatli, S.M.;Ozkaya, E.;Ozyigit, H.A.;Tekin, A.
    • Structural Engineering and Mechanics
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    • v.33 no.1
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    • pp.15-30
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    • 2009
  • In this study, the nonlinear vibrations of stepped beams having different boundary conditions were investigated. The equations of motions were obtained by using Hamilton's principle and made non dimensional. The stretching effect induced non-linear terms to the equations. Natural frequencies are calculated for different boundary conditions, stepped ratios and stepped locations by Newton-Raphson Method. The corresponding nonlinear correction coefficients are also calculated for the fundamental mode. At the second part, an alternative method is produced for the analysis. The calculated natural frequencies and nonlinear corrections are used for training an artificial neural network (ANN) program which has a multi-layer, feed-forward, back-propagation algorithm. The results of the algorithm produce errors less than 2.5% for linear case and 10.12% for nonlinear case. The errors are much lower for most cases except clamped-clamped end condition. By employing the ANN algorithm, the natural frequencies and nonlinear corrections are easily calculated by little errors, and the computational time is drastically reduced compared with the conventional numerical techniques.