• Title/Summary/Keyword: reduced system method

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Study on the Efficient Dynamic System Condensation (동적 해석의 효율적 축소기법에 관한 연구)

  • Baek, Seung-Min;Kim, Ki-Ook;Cho, Maeng-Hyo
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.3
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    • pp.347-352
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    • 2007
  • Eigenvalue reduction schemes approximate the lower eigenmodes that represent the global behavior of the structures. In the previous study, we proposed a two-level condensation scheme (TLCS) for the construction of a reduced system. In the first step, the selection of candidate elements by energy estimation, Rayleigh quotient, through Ritz vector calculation. In the second step, the primary degrees of freedom are selected by the sequential elimination method from the degrees of freedom connected to the candidate elements in the first step. In the present study, we propose TLCS combined with iterative improved reduced system (IIRS) to increase accuracy of the higher modes in the intermediate range. Also, it is possible to control the accuracy of the eigenvalues and eigenmodes of the reduced system. Finally, numerical examples demonstrate the performance of the proposed method.

A Study of the Linear Analysis of an Equivalently Reduced System from the Original Torsional System (회전 시스템의 수학적 모델과 간소화된 시스템의 선형 특성 연구)

  • Ahn, Min-Ju;Yoon, Jong-Yun;Qi, Zhang;Ahn, In-Hyo;Lyu, Sung-Ki
    • Journal of the Korean Society of Safety
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    • v.25 no.3
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    • pp.7-14
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    • 2010
  • In order to analyze the vibro-impacts in the torsional system, several clearance types of nonlinearities should be included with the analytical or numerical method. These kinds of nonlinear factors can cause the errors while the system is calculated specifically with the numerical method, also it might take too long to get right answers with the every nonlinearity in the original system. Therefore, there are several methods developed for the sake of overcoming the deficiency of the analysis with the original system and saving the calculating time. The original system can be reduced by keeping the system characteristics such as from 14 to 6 DOF. Especially, since the torque flow in the torsional system is connected with the specific gear ratios, the original system can be transferred into the simpler system corresponding to each gear ratio rather than the original system, which can also show the same system characteristics such as the natural frequencies and the mode shapes. By using the reduced system, the calculating time can be saved and the redundant nonlinear effects for the system analysis can be ignored without any numerical errors.

Effective Strategies to Reduce Sodium Intake among Consumers: Pork Cutlet Sauce as a Model Food System

  • Lee, Hyun;Lee, Mi Young;Kim, Eui-Su;Chung, Seo-Jin
    • Journal of the Korean Society of Food Culture
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    • v.33 no.5
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    • pp.426-436
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    • 2018
  • This study assessed effective strategies to reduce the sodium intake among consumers using pork cutlet sauce as a model food system. Original pork cutlet sauce and sodium-reduced sauce (29% reduced by a salt substitute) were analyzed to characterize the sensory properties using descriptive analysis. The effects of sodium-reduction of the sauce, consumer type (nutrition teachers vs. general consumers), information related to the sodium content, serving method, and consumer's health, taste and sodium-related attitudes on the consumer's preference, perception, and intake of the sauce were analyzed using a consumer test. In descriptive analysis, the original and sodium-reduced sauce showed similar sensory characteristics but did not differ in saltiness. In the consumer test, there were no significant differences in the overall preference levels between the two sauces. On the other hand, there were significant differences in preference and perception between nutrition teachers and general consumer groups, which were due largely to their age as well as the health and sodium-related attitudes and nutritional knowledge differences. Sodium-reduced information decreased the perceived saltiness intensity. In addition, reducing sodium intake by serving pork cutlet sauce in a bottle can be an effective strategy because this serving method increased the acceptance and induced the smaller intake of sauce.

JACOBI DISCRETE APPROXIMATION FOR SOLVING OPTIMAL CONTROL PROBLEMS

  • El-Kady, Mamdouh
    • Journal of the Korean Mathematical Society
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    • v.49 no.1
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    • pp.99-112
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    • 2012
  • This paper attempts to present a numerical method for solving optimal control problems. The method is based upon constructing the n-th degree Jacobi polynomials to approximate the control vector and use differentiation matrix to approximate derivative term in the state system. The system dynamics are then converted into system of algebraic equations and hence the optimal control problem is reduced to constrained optimization problem. Numerical examples illustrate the robustness, accuracy and efficiency of the proposed method.

DIRICHLET BOUNDARY VALUE PROBLEM FOR A CLASS OF THE ELLIPTIC SYSTEM

  • Jung, Tacksun;Choi, Q-Heung
    • Journal of the Chungcheong Mathematical Society
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    • v.27 no.4
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    • pp.707-720
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    • 2014
  • We get a theorem which shows the existence of at least three solutions for some elliptic system with Dirichlet boundary condition. We obtain this result by using the finite dimensional reduction method which reduces the infinite dimensional problem to the finite dimensional one. We also use the critical point theory on the reduced finite dimensioal subspace.

A Study on the Transient Measurement of the Effective Thermal Diffusivity of Insulation Materials by NPE Method (NPE법을 이용한 절연재료의 유효열확산계수의 과도측정에 관한 연구)

  • Lim, Dong Joo;Bae, Sin Chul
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.2 no.3
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    • pp.243-255
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    • 1990
  • The objective of this study is to present an efficient measurement method of the effective thermal diffusivity for the fibrous insulation material. The non-linear parameter estimation (NPE) method is adapted for this analysis because of its accuracy and its results are compared with those by other direct methods such as CTP, CHP and STD method. A experimental system is constructed with bell-jar vaccum chamber, diffusion pump, tube type furnace, control unit and data acquisition system included with A/D converter and IBM XT/AT personal computer. The typical results obtained from this study are as follows; 1) NPE method can be recommended as an useful and accurate method to measure the effective thermal diffusivity of insuation material because it is shown that the measurement error compared with those by other direct methods is reduced for standard material, NBS-1450b. 2) NPE method can minimize the effects of ill-measured temperature due to external disturbance, because the final value is found by point to point estimating. 3) NPE method dose not depend on the kinds of heat flux, since the surfac temperature are used to estimate the thermal diffusivity. 4) With NPE method, compared with the steady state method, a measuring time and a sample size could be reduced.

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The analysis of the Type-1 positioning servomechanism by the Z-transform method (Z-변환법에 의한 제1형위치 써어보메카니슴의 해석)

  • 한만춘;임광선
    • 전기의세계
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    • v.17 no.1
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    • pp.11-20
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    • 1968
  • A typical type-1 positioning servomechanism is theoretically analyzed as a multirate sampled-data system which contains two or more signals sampled at different rates by the Z-transform method. And also it is analyzed as a continuous system by using the Younsei 101 Electronic Analog Computer. Comparing the solution of the multirate sampled data system with that of the continuous system to a step input, it is concluded that the response time of the output of the multirate sampled-data system is reduced by a multirate controller, the ripple between samples is lessened and all the transients are diminished within one period.

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Interconnected AC/DC System (문직운전계통을 포함한 전럭계통에서의 상태주정에 관한 연구)

  • 김준현;박건수;이종범
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.37 no.1
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    • pp.1-9
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    • 1988
  • This paper descibes a method for the state estimation in power systems with interconnected AC/DC system. The state values in interconnected AC/DC system are estimated using measurement values with the pseudo measurement so that the number of telemetering measurement can be reduced. Especially, the state values in AC system are estimated through hierarchical method after system decomposition including superposition bus was formed for the state estimation in large-scale power systems. The results of the application to the two model power systems show the dffectiveness of the presented algorithms.

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A Study on the Dynamics of Train Using Equivalent System (등가계를 적용한 열차의 동적거동에 관한 연구)

  • 조동현;임진수
    • Journal of KSNVE
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    • v.10 no.1
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    • pp.117-122
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    • 2000
  • The dynamics of train has recently been analysed in many cases and very complex nonlinear creep theories have been developed by many engineers. But much calculation time is spent and latest complex creep theories cannot be adapted in train analysis. In this study efficient and fast train analysis method was suggested. Many of degree of freedom were reduced in multi-vehicle system using equivalent system and fast calculation time was achieved. And the accuracy of equivalent system method was proved by linear and nonlinear dynamic analysis.

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Iterated Improved Reduced System (IIRS) Method Combined with Sub-Structuring Scheme (II) - Nonclassically Damped Structural Systems - (부구조화 기법을 연동한 반복적인 동적 축소법 (II) - 비비례 감쇠 구조 시스템 -)

  • Choi, Dong-Soo;Kim, Hyun-Gi;Cho, Maeng-Hyo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.31 no.2 s.257
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    • pp.221-230
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    • 2007
  • An iterated improved reduced system (IIRS) procedure combined with sub-structuring scheme for nonclassically damped structural systems is presented. For dynamic analysis of such systems, complex eigenproperties are required to incorporate properly the nonclassical damping effect. In complex structural systems, the equations of motion are written in the state space from. Thus, the number of degrees of freedom of the new equations of motion and the size of the associated eigenvalue problem required to obtain the complex eigenvalues and eigenvectors are doubled. Iterated IRS method is an efficient reduction technique because the eigenproperties obtained in each iteration step improve the condensation matrix in the next iteration step. However, although this reduction technique reduces the size of problem drastically, it is not efficient to apply this technique to a single domain finite element model with degrees of freedom over several thousands. Therefore, for a practical application of the reduction method, accompanying sub-structuring scheme is necessary. In the present study, iterated IRS method combined with sub-structuring scheme for nonclssically damped structures is developed. Numerical examples demonstrate the convergence and the efficiency of a newly developed scheme.