• Title/Summary/Keyword: Matrix-free

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A Jacobian Update-Free Newton's Method for Efficient Real-Time Vehicle Simulation (효율적인 실시간 차량 시뮬레이션을 위한 자코비안 갱신이 불필요한 뉴턴 적분방법)

  • Kang, Jong Su;Lim, Jun Hyun;Bae, Dae Sung
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.23 no.4
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    • pp.337-344
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    • 2014
  • While implicit integration methods such as Newton's method have excellent stability for the analysis of stiff and constrained mechanical systems, they have the drawback that the evaluation and LU-factorization of the system Jacobian matrix required at every time step are time-consuming. This paper proposes a Jacobian update-free Newton's method in order to overcome these defects. Because the motions of all bodies in a vehicle model are limited with respect to the chassis body, the equations are formulated with respect to the moving chassis-body reference frame instead of the fixed inertial reference frame. This makes the system Jacobian remain nearly constant, and thus allows the Newton's method to be free from the Jacobian update. Consequently, the proposed method significantly decreases the computational cost of the vehicle dynamic simulation. This paper provides detailed generalized formulation procedures for the equations of motion, constraint equations, and generalized forces of the proposed method.

Measurement of Normal Incidence Surface Impedance of Absorbing Materials Using the Improved Beamforming Method in a Free Field (자유 음장 조건에서 개선된 빔형성 방법을 이용한 흡음재의 수직 입사 표면 임피던스 측정)

  • Shin, Chang-Woo;Sun, Jong-Choen;Kang, Yeon-June;Paik, Soon-Kwon
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.18 no.6
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    • pp.598-605
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    • 2008
  • An improved beamforming method is proposed to measure the surface impedance of absorbing materials in a free field. It is possible to estimate the surface impedance by decomposing measured signals into incident and reflected signals by using the spatial filter matrix of the beamforming method. Wavelet do-noising techniques which reduce the white Gaussian noise are applied to improve the results. Phase calibration method is also used to improve the results of the measured surface impedance in a low frequency range. The results of the normal incidence experiments that are performed in a semi-anechoic chamber are verified by comparing with those of the standard test method that is presented in ASTM E1050. The proposed method is found to be reliable to measure the surface impedance for frequencies higher than 400 Hz.

Dynamic stiffness analysis of steel-concrete composite beams

  • Li, Jun;Huo, Qiji;Li, Xiaobin;Kong, Xiangshao;Wu, Weiguo
    • Steel and Composite Structures
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    • v.16 no.6
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    • pp.577-593
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    • 2014
  • An exact dynamic stiffness method is introduced for investigating the free vibration characteristics of the steel-concrete composite beams consisting of a reinforced concrete slab and a steel beam which are connected by using the stud connectors. The elementary beam theory is used to define the dynamic behaviors of the two beams and the relative transverse deformation of the connectors is included in the formulation. The dynamic stiffness matrix is formulated from the exact analytical solutions of the governing differential equations of the composite beams in undamped free vibration. The application of the derived dynamic stiffness matrix is illustrated to predict the natural frequencies and mode shapes of the steel-concrete composite beams with seven boundary conditions. The present results are compared to the available solutions in the literature whenever possible.

Free vibration and harmonic response of cracked frames using a single variable shear deformation theory

  • Bozyigit, Baran;Yesilce, Yusuf;Wahab, Magd Abdel
    • Structural Engineering and Mechanics
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    • v.74 no.1
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    • pp.33-54
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    • 2020
  • The aim of this study is to calculate natural frequencies and harmonic responses of cracked frames with general boundary conditions by using transfer matrix method (TMM). The TMM is a straightforward technique to obtain harmonic responses and natural frequencies of frame structures as the method is based on constructing a relationship between state vectors of two ends of structure by a chain multiplication procedure. A single variable shear deformation theory (SVSDT) is applied, as well as, Timoshenko beam theory (TBT) and Euler-Bernoulli beam theory (EBT) for comparison purposes. Firstly, free vibration analysis of intact and cracked frames are performed for different crack ratios using TMM. The crack is modelled by means of a linear rotational spring that divides frame members into segments. The results are verified by experimental data and finite element method (FEM) solutions. The harmonic response curves that represent resonant and anti-resonant frequencies directly are plotted for various crack lengths. It is seen that the TMM can be used effectively for harmonic response analysis of cracked frames as well as natural frequencies calculation. The results imply that the SVSDT is an efficient alternative for investigation of cracked frame vibrations especially with thick frame members. Moreover, EBT results can easily be obtained by ignoring shear deformation related terms from governing equation of motion of SVSDT.

Implementation of real-time free-space optical interconnection using spatial light modulator (공간광변조기를 이용한 실시간 자유공간 광연결 구현)

  • Lee, Deug-Ju;Kang, Bong-Gyun;Kim, Nam;Suh, Ho-Hyung
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.22 no.5
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    • pp.956-966
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    • 1997
  • Dynamic free-space optical interconnection system is experimented by a holographic crossbar with single-state switching architecture. For dynamic operation, electrically addressed liquid-crystal spatial light modulator and diffraction gratings are used in place of passive holograms of matrix-matrix crossbar. Diffraction gratings are consisted of regular cells which have different phase delays. This pixelated phase grating array displayed on SLM(Spatial Light modulator) deflects an input beam toward a wanted direction or splits an input beam into many beams and then steers them to desired positions. Through the experimental results, free-space optical interconnection is dynamically perfomed using a computer, SLM and phase diffraction gratings.

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New anti-wrinkle cosmetics

  • Lee, Kang-Tae;Lee, Sun-Young;Jeong, Ji-Hean;Jo, Byoung-Kee
    • Journal of the Society of Cosmetic Scientists of Korea
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    • v.28 no.1
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    • pp.71-79
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    • 2002
  • In the aged skin especially in the face and eyelid, deep and slight wrinkles are one of the remarkable phenomena of aging and the cause of wrinkle is various. Among the cause of wrinkles an oxidative stress plays an important roles in wrinkle formation process. It caused the lipid peroxidation of cell membrane, the increase of the MMPs(MatrixMetalloProteinase) gene expression and cellular DNA damage. These ROS induced materials may cause the degradation of collagen matrix system in the dermis and cause the formation of skin wrinkle. So, it is very important for protecting skin wrinkle formation to regulate ROS activity. In this study, we developed one active ingredient having multi functional activities such as activation of collagen synthesis, inhibition of MMPs activity, lipid peroxidation and free radical scavenging activity and inhibition of free radical induced DNA damage in vitro. Pericarpium castaneae extracts showed collagen synthesis increase in Normal Human Fibroblast and the inhibition of elastase activity (IC$\_$50/ of Elastase: 43.9$\mu\textrm{g}$/㎖). It showed also anti-oxidative activity (IC$\_$50/ : 48$\mu\textrm{g}$/㎖) and free radical scavenging activity(IC$\_$50/: 7.6$\mu\textrm{g}$/㎖). Conclusively, Pericarpium castaneae extracts may be used as an ingredient for new anti-wrinkle cosmetics.

Vibro-acoustic modelling of immersed cylindrical shells with variable thickness

  • Wang, Xianzhong;Lin, Hongzhou;Zhu, Yue;Wu, Weiguo
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.12 no.1
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    • pp.343-353
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    • 2020
  • Based on the Precise Transfer Matrix Method (PTMM), the dynamic model is constructed to observe the vibration behaviour of cylindrical shells with variable thickness by solving a set of first-order differential equations. The free vibration of stiffened cylindrical shells with variable thickness can be obtained to compare with the exact solution and FEM results. The reliability of the present method of free vibration is well proved. Furthermore, the effect of thickness on the vibration responses of the cylindrical shell is also discussed. The acoustic response of immersed cylindrical shells is analyzed by a Pluralized Wave Superposition Method (PWSM). The sound pressure coefficient can be gained by collocating points along the meridian line to satisfy the Neumann boundary condition. The mode convergence analysis of the cylindrical shell is carried out to guarantee calculation precision. Also, the reliability of the present method on sound radiation is verified by comparing with experimental results and numerical results.

Reanalysis for Correlating and Updating Dynamic Systems Using Frequency Response Functions (FRF를 이용한 동적 구조 시스템의 구조추정 및 재해석)

  • 한경봉;박선규
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2004.04a
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    • pp.49-56
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    • 2004
  • Model updating is a very active research field, in which significant efforts has been invested in recent years. Model updating methodologies are invariably successful when used on noise-free simulated data, but tend to be unpredictable when presented with real experimental data that are-unavoidably-corrupted with uncorrected noise content. In this paper, Reanalysis using frequency response functions for correlating and updating dynamic systems is presented. A transformation matrix is obtained from the relationship between the complex and the normal frequency response functions of a structure. The transformation matrix is employed to calculate the modified damping matrix of the system. The modified mass and stiffness matrices are identified from the normal frequency response functions by using the least squares method. One simulated system is employed to illustrate the applicability of the proposed method. The result indicate that the damping matrix of correlated finite element model can be identified accurately by the proposed method. In addition, the robustness of the new approach uniformly distributed measurement noise Is also addressed.

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Prediction of operational strains using displacement-strain transformation matrix and its application (변위-변형율 변환행렬을 이용한 운전중 변형율 예측 및 응용)

  • 서순우;김광준
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1996.04a
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    • pp.355-360
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    • 1996
  • When the operational strains of a structure can not be directly measured in order to predict the life of the structure due to the problem of the attachment, those must be obtained indirectly. Since the displacement and the strain are interrelated, the strain can be predicted from the measured displacement and displacement-strain transformation matrix. The transformation matrix is dependent on the boundary condition, unfortunately, and it is also difficult to know exactly that of the operational system. In this study, for the structure with arbitrary boundary condition under the operation, the approximate method is proposed in order to predict the operational strains using the transformation matrix obtained by using free boundary conditions. And the method is applied to predict the strains of leads of surface mount component under the vibration of the printed circuit board.

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The Construct of Service Error Matrix for the Effective Service Fail-Safe : Focusing Y Hotel in Daejeon (효과적인 서비스실패방지를 위한 서비스오류 매트릭스의 구성 : 대전지역 Y 호텔의 사례를 중심으로)

  • Oh, Se-Gu;Kim, Sun-Hyo
    • Journal of the Korean Operations Research and Management Science Society
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    • v.36 no.4
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    • pp.29-41
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    • 2011
  • As industires are evolving into a more advanced type industrial system, service economy has been more emphasized. But with the expansion of the service economy, the failure of the service has also increased. Customers flee caused by the service failure leads to from simple problems like financial loss to serious problems like damaging corporate image. Therefore, if possible, the system providing defect-free service should be established. If this is not possible, preventive measures should be taken in order to minimize the failure. The study as a tool to prevent service failure presents the concepts "service error matrix." And to confirm whether this idea is practical or not, this study investigated the hotel, one of the leading service industries, about actually occurring service failure and applied to service error matrix suggested in this study. Finally service blueprint and Poka-yoke are completed in order to reduce service failure of Y hotel which was the object of the interview for this study.