• 제목/요약/키워드: first-order approximation

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The Meshfree Method Based on the Least-Squares Formulation for Elasto-Plasticity (탄소성 최소 제곱 수식화와 이를 이용한 무요소법)

  • Youn Sung-Kie;Kwon Kie-Chan
    • Transactions of the Korean Society of Mechanical Engineers A
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    • 제29권6호
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    • pp.860-875
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    • 2005
  • A new meshfree method for the analysis of elasto-plastic deformations is presented. The method is based on the proposed first-order least-squares formulation, to which the moving least-squares approximation is applied. The least-squares formulation for the classical elasto-plasticity and its extension to an incrementally objective formulation for finite deformations are proposed. In the formulation, the equilibrium equation and flow rule are enforced in least-squares sense, while the hardening law and loading/unloading condition are enforced exactly at each integration point. The closest point projection method for the integration of rate-form constitutive equation is inherently involved in the formulation, and thus the radial-return mapping algorithm is not performed explicitly. Also the penalty schemes for the enforcement of the boundary and frictional contact conditions are devised. The main benefit of the proposed method is that any structure of cells is not used during the whole process of analysis. Through some numerical examples of metal forming processes, the validity and effectiveness of the method are presented.

Limit Cycle Application to Friction Identification and Compensation (한계사이클을 이용한 마찰력의 규명 및 보상)

  • Kim Min-Seok;Kim Myoung-Zoo;Chung Sung-Chong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • 제29권7호
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    • pp.938-946
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    • 2005
  • Friction is a dominant nonlinear factor in servomechanisms, which seriously deteriorates system accuracy. A friction compensator is indispensable to fabricate high-performance servomechanisms. In order to compensate for the friction in the servomechanism, identification of the friction elements is required. To estimate the friction of the servomechanism, an accurate linear element model of the system is required first. Tn this paper, a nonlinear friction model, in which static, coulomb and viscous frictions as well as Stribeck effect are included, is identified through the describing function approximation of the nonlinear element. A nonlinear element composed of two relays is intentionally devised to induce various limit cycle conditions in the velocity control loop of the servomechanism. The friction coefficients are estimated from the intersection points of the linear and nonlinear elements in the complex plane. A Butterworth filter is added to the velocity control loop not only to meet the assumption of the harmonic balance method but also to improve the accuracy of the friction identification process. Validity of the proposed method is confirmed through numerical simulations and experiments. In addition, a model-based friction compensator is applied as a feedforward controller to compensate fur the nonlinear characteristics of the servomechanism and to verify the effectiveness of the proposed identification method.

Thermodynamic Analysis of the Diabatic Efficiency of Turbines and Compressors (터빈과 압축기의 비단열 효율에 대한 열역학적 해석)

  • Park, Kyoung Kuhn
    • Transactions of the Korean Society of Mechanical Engineers B
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    • 제40권3호
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    • pp.139-148
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    • 2016
  • Thermodynamic analysis is conducted on the first-order approximation model for turbines and compressors. It is shown that the adiabatic efficiency could be greater than unity, depending on the entropic mean temperature, entropy generation, thermal reservoir temperature, and heat transfer. Therefore, adiabatic efficiency applied to a diabatic control volume results in an error overestimating its performance. To resolve this overestimation, it is suggested that a reversible diabatic process be referred to as an ideal process to evaluate diabatic efficiency. The diabatic efficiency suggested in this work is proven to always be less than unity and it is smaller than the exergy efficiency in most cases. The diabatic efficiency could be used as a more general definition of efficiency, which would include adiabatic efficiency.

A Study on the Strain Measurement of Structure object by Electronic Process and Laser Interferometry (전자처리 및 Laser간섭에 의한 구조물의 Strain 측정에 관한 연구)

  • Jung, W.K.;Kim, K.S.;Yang, S.P.;Jung, H.C.;Kim, J.H.
    • Journal of the Korean Society for Precision Engineering
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    • 제12권10호
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    • pp.40-49
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    • 1995
  • This paper presents the performance and problems in analysis method and testing system of Electronic Speckle Pattern Interferometry (ESPI) method, in measuring two - dimensional in-plane displacement. The anyalysis result of measurement by ESPE is quite comparable to that tof measurement by strain gauge method. This implies that the method of ESPE is a very effective tool in non-contact two-dimensional in-plane strain analysis. But there is a controversal point, measurment error. This error is discussed to be affected not by ESPE method itself, but by its analysis scheme of the interference fringe, where the first-order interpolation has been applied to the points of strain measured. In this case, it is turned out that the more errors would be occurred in the large interval of fringe. And so this paper describes a computer method for drawing when the height is available only for some arbitrary collection of points. The method is based on a distance-weighted, last- squares approximation technique with the weight varying with the distance of the data points.

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Self-compensation of the phase change upon reflection in two-wavelength white light interferometry for step height measurement (두 파장 백색광 간섭계를 이용한 금속물질의 단차 측정)

  • 김승우
    • Korean Journal of Optics and Photonics
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    • 제11권5호
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    • pp.317-322
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    • 2000
  • We present a compensation method of the phase change upon reflection in the scannll1g whIte light interferometry. which pracl1cally allows precIse 3-D profIle mappmg for compo~Ite target surfaces comprising of multipledissinular matenals. The compensation method estimates the vanatlon 01 pbase change with the spectral distribution of the light source through first-order approximation, and then diIectly compensates the measurement errors by perIormmg two-wavelength white light intetferomctric measurements. Experimental results prove that the proposed self-compensatIOn mcthod is capable of reducing the measmement error in step height gauging within $\pm2nm$..

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(Continuous-Time Queuing Model and Approximation Algorithm of a Packet Switch under Heterogeneous Bursty Traffic) (이질적 버스트 입력 트래픽 환경에서 패킷 교환기의 연속 시간 큐잉 모델과 근사 계산 알고리즘)

  • 홍석원
    • Journal of KIISE:Information Networking
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    • 제30권3호
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    • pp.416-423
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    • 2003
  • This paper proposes a continuous-time queuing model of a shared-buffer packet switch and an approximate algorithm. N arrival processes have heterogeneous busty traffic characteristics. The arrival processes are modeled by Coxian distribution with order 2 that is equivalent to Interruped Poisson Process. The service time is modeled by Erlang distribution with r stages. First the approximate algorithm performs the aggregation of N arrival processes as a single state variable. Next the algorithm discompose the queuing system into N subsystems which are represented by aggregated state variables. And the balance equations based on these aggregated state variables are solved for by iterative method. Finally the algorithm is validated by comparing the results with those of simulation.

Calculation on Electronic Structure of ZnO with Impurities Belonging to III and IV Family (III, IV족 불순물이 첨가된 ZnO의 전자상태계산)

  • Lee, Dong-Yoon;Kim, Hyun-Ju;Koo, Bo-Kun;Lee, Won-Jae;Song, Jae-Sung
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 한국전기전자재료학회 2004년도 하계학술대회 논문집 Vol.5 No.1
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    • pp.309-312
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    • 2004
  • The electronic structure of ZnO oxide semiconductor having high optical transparency and good electric conductivity was theoretically investigated by $DV-X_{\alpha}$(the discrete variation $X_{\alpha}$) method, which is a sort of the first principle molecular orbital method using Hatre-Fock-Slater approximation. The electrical and optical properties of ZnO are seriously affected by the addition of impurities. The imnurities are added to ZnO in order to increase the electric conductivity of an electrode without losing optical transparency. In this study, the effect of impurities of III and IV family on the band structure, impurity levels and the density of state of ZnO were investigated. The cluster model used for calculations was $[MZn_{50}O_{53}]^{-2}$(M=elements belonging to III and IV family).

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Numerical Analysis on the Wave Resistance by the Theory of Slender Ships (세장선 이론에 의한 조파저항의 수치 해석)

  • 김인철
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • 제23권3호
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    • pp.111-116
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    • 1987
  • The accurate prediction of the ship wave resistance is very important to design ships which operate satisfactorily in a wave environment. Thus, work should continue on development and validation of methods to compute ship wave patterns and wave resistance. Research efforts to improve the prediction of ship waves and wavemaking resistance are categorized in two major areas. First is the development of higher-order theories to take account of the nonlinear effect of the free surface condition and improved analytical treatment of the body boundary condition. Second is the development of direct numerical methods aimed at solving body and free-surface boundary conditions as accurately as possible. A new formulation of the slender body theory for a ship with constant speed is developed by Maruo. It is quite different from the existing slender ship theory by Vossers, Maruo and Tuck. It may be regarded as a substitute for the Neumann-Kelvin approximation. In present work, the method of asymptotic expansion of the Kelvin source is applied to obtain a new wave resistance formulation in fluid of finite depth. It takes a simple form than existing theory.

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The continuous-discontinuous Galerkin method applied to crack propagation

  • Forti, Tiago L.D.;Forti, Nadia C.S.;Santos, Fabio L.G.;Carnio, Marco A.
    • Computers and Concrete
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    • 제23권4호
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    • pp.235-243
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    • 2019
  • The discontinuous Galerkin method (DGM) has become widely used as it possesses several qualities, such as a natural ability to dealing with discontinuities. DGM has its major success related to fluid mechanics. Its major importance is the ability to deal with discontinuities and still provide high order of approximation. That is an important advantage when simulating cracking propagation. No remeshing is necessary during the propagation, since the crack path follows the interface of elements. However, DGM comes with the drawback of an increased number of degrees of freedom when compared to the classical continuous finite element method. Thus, it seems a natural approach to combine them in the same simulation obtaining the advantages of both methods. This paper proposes the application of the combined continuous-discontinuous Galerkin method (CDGM) to crack propagation. An important engineering problem is the simulation of crack propagation in concrete structures. The problem is characterized by discontinuities that evolve throughout the domain. Crack propagation is simulated using CDGM. Discontinuous elements are placed in regions with discontinuities and continuous elements elsewhere. The cohesive zone model describes the fracture process zone where softening effects are expressed by cohesive zones in the interface of elements. Two numerical examples demonstrate the capacities of CDGM. In the first example, a plain concrete beam is submitted to a three-point bending test. Numerical results are compared to experimental data from the literature. The second example deals with a full-scale ground slab, comparing the CDGM results to numerical and experimental data from the literature.

A Probabilistic Tensor Factorization approach for Missing Data Inference in Mobile Crowd-Sensing

  • Akter, Shathee;Yoon, Seokhoon
    • International Journal of Internet, Broadcasting and Communication
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    • 제13권3호
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    • pp.63-72
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    • 2021
  • Mobile crowd-sensing (MCS) is a promising sensing paradigm that leverages mobile users with smart devices to perform large-scale sensing tasks in order to provide services to specific applications in various domains. However, MCS sensing tasks may not always be successfully completed or timely completed for various reasons, such as accidentally leaving the tasks incomplete by the users, asynchronous transmission, or connection errors. This results in missing sensing data at specific locations and times, which can degrade the performance of the applications and lead to serious casualties. Therefore, in this paper, we propose a missing data inference approach, called missing data approximation with probabilistic tensor factorization (MDI-PTF), to approximate the missing values as closely as possible to the actual values while taking asynchronous data transmission time and different sensing locations of the mobile users into account. The proposed method first normalizes the data to limit the range of the possible values. Next, a probabilistic model of tensor factorization is formulated, and finally, the data are approximated using the gradient descent method. The performance of the proposed algorithm is verified by conducting simulations under various situations using different datasets.