• 제목/요약/키워드: Sum of Square

검색결과 326건 처리시간 0.028초

Robust design of liquid column vibration absorber in seismic vibration mitigation considering random system parameter

  • Debbarma, Rama;Chakraborty, Subrata
    • Structural Engineering and Mechanics
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    • 제53권6호
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    • pp.1127-1141
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    • 2015
  • The optimum design of liquid column dampers in seismic vibration control considering system parameter uncertainty is usually performed by minimizing the unconditional response of a structure without any consideration to the variation of damper performance due to uncertainty. However, the system so designed may be sensitive to the variations of input system parameters due to uncertainty. The present study is concerned with robust design optimization (RDO) of liquid column vibration absorber (LCVA) considering random system parameters characterizing the primary structure and ground motion model. The RDO is obtained by minimizing the weighted sum of the mean value of the root mean square displacement of the primary structure as well as its standard deviation. A numerical study elucidates the importance of the RDO procedure for design of LCVA system by comparing the RDO results with the results obtained by the conventional stochastic structural optimization procedure and the unconditional response based optimization.

On the Mordell-Weil Groups of Jacobians of Hyperelliptic Curves over Certain Elementary Abelian 2-extensions

  • Moon, Hyun-Suk
    • Kyungpook Mathematical Journal
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    • 제49권3호
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    • pp.419-424
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    • 2009
  • Let J be the Jacobian variety of a hyperelliptic curve over $\mathbb{Q}$. Let M be the field generated by all square roots of rational integers over a finite number field K. Then we prove that the Mordell-Weil group J(M) is the direct sum of a finite torsion group and a free $\mathbb{Z}$-module of infinite rank. In particular, J(M) is not a divisible group. On the other hand, if $\widetilde{M}$ is an extension of M which contains all the torsion points of J over $\widetilde{\mathbb{Q}}$, then $J(\widetilde{M}^{sol})/J(\widetilde{M}^{sol})_{tors}$ is a divisible group of infinite rank, where $\widetilde{M}^{sol}$ is the maximal solvable extension of $\widetilde{M}$.

역문제를 이용한 음향장내의 소음해석 (The Analysis of Noise using of Inverse Problem in Acoustic Field)

  • 박성완
    • 한국생산제조학회지
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    • 제8권3호
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    • pp.66-75
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    • 1999
  • This paper is concerned with a analysis of noise by inverse problem available for analyzing the two and three-dimensional acoustic field problems. The noise of analysis considered in this study can be reduced to an optimum problem to find the optimal set of parameters defining the vibrating state of noise source surfaces. The optimal set of parameters are searched by the standard optimization procedure minimizing the square sum of the residuals between the measured and computed quantities of sound pressure at some points in the acoustic field. Computation is carried out for typical examples in which the noise sources are located on the infinite plane. It is demonstrated that the noise of analysis can be effectively made by using the sensitive reference data.

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ON NONLINEARITY AND GLOBAL AVALANCHE CHARACTERISTICS OF VECTOR BOOLEAN FUNCTIONS

  • Kim, Wan-Soon;Hwang, Hee-Sung
    • Journal of applied mathematics & informatics
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    • 제16권1_2호
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    • pp.407-417
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    • 2004
  • It is well known that the nonlinearity of vector Boolean functions F on n-dimensional vector space $GF(2)^n$ to $GF(2)^m$ is bounded above by $2^{n-1} - 2 ^{\frac{n}{2}-1}$. In this paper we derive upper bounds and a lower bound on the nonlinearity of vector Boolean functions in terms of auto-correlations. Strengths and weaknesses of each bounds are examined. Also, we modify the notions of the sum-of-square indicator and absolute indicator for Boolean functions to the case of vector Boolean functions to measure global avalanche characteristics of vector Boolean functions. Using those indicators we compare the global avalanche characteristics of DES (Data Encryption System) and Rijndael.

피로수명예측을 위한 잔류강도 저하모델의 파라미터 결정법 제안(II) (A Proposal of parameter Determination Method in the Residual Strength Degradation Model for the Prediction of Fatigue Life(II))

  • 김상태;장성수
    • 대한기계학회논문집A
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    • 제25권9호
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    • pp.1452-1460
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    • 2001
  • A new method of parameter determination in the fatigue residual strength degradation model is proposed. The new method and minimization technique is compared experimentally to account for the effect of tension-compression fatigue loading of spheroidal graphite cast iron and graphite/epoxy laminate. It is shown that the correlation between the experimental results and the theoretical prediction on the fatigue life and residual strength distribution using the proposed method is very reasonable. Therefore, the proposed method is more adjustable in the determination of the parameter than minimization technique for the prediction of the fatigue characteristics.

Confidence region of identified parameters and optimal sensor locations based on sensitivity analysis

  • Kurita, Tetsushi;Matsui, Kunihito
    • Structural Engineering and Mechanics
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    • 제13권2호
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    • pp.117-134
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    • 2002
  • This paper presents a computational method for a confidence region of identified parameters which are affected by measurement noise and error contained in prescribed parameters. The method is based on sensitivities of the identified parameters with respect to model parameter error and measurement noise along with the law of error propagation. By conducting numerical experiments on simple models, it is confirmed that the confidence region coincides well with the results of numerical experiments. Furthermore, the optimum arrangement of sensor locations is evaluated when uncertainty exists in prescribed parameters, based on the concept that square sum of coefficients of variations of identified results attains minimum. Good agreement of the theoretical results with those of numerical simulation confirmed validity of the theory.

Extraction of Geometric Primitives from Point Cloud Data

  • Kim, Sung-Il;Ahn, Sung-Joon
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2005년도 ICCAS
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    • pp.2010-2014
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    • 2005
  • Object detection and parameter estimation in point cloud data is a relevant subject to robotics, reverse engineering, computer vision, and sport mechanics. In this paper a software is presented for fully-automatic object detection and parameter estimation in unordered, incomplete and error-contaminated point cloud with a large number of data points. The software consists of three algorithmic modules each for object identification, point segmentation, and model fitting. The newly developed algorithms for orthogonal distance fitting (ODF) play a fundamental role in each of the three modules. The ODF algorithms estimate the model parameters by minimizing the square sum of the shortest distances between the model feature and the measurement points. Curvature analysis of the local quadric surfaces fitted to small patches of point cloud provides the necessary seed information for automatic model selection, point segmentation, and model fitting. The performance of the software on a variety of point cloud data will be demonstrated live.

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수중운동이 재가 뇌졸중 환자의 재활에 미치는 효과 (An Effects of Aquatic Exercise on in Home Stroke Patients)

  • 박상연
    • 성인간호학회지
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    • 제18권5호
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    • pp.798-808
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    • 2006
  • Purpose: The purpose of this study was to investigate the effects of aquatic exercise on rehabilitation in home stroke patients. Method: A quasi-experimental pretest and posttest design was used to examine the change of balance, ADL, IADL, pain, depression and self-efficacy atthe completion of 6-weeks aquatic exercise program. The subjects consisted of 25 adults who had a stroke. Thirteen experimental and twelve control subjects completed pre and post test measures. Outcome variables were balance, ADL, IADL, pain, depression and self-efficacy. Chi-Square test(Fisher's exact method) was used to examine the equality of the subjects and Wilcoxon Rank Sum Test used to examine the group difference by using SAS. Results: There was no significant difference in balance and depression between the two groups. However, there was a significant difference in ADL, IADL, pain and self-efficacy between the two groups. Conclusion: Aquatic exercise can improve ADL, IADL, self-efficacy and reduce pain. Therefore, further research is recommended by increasing the length of aquatic exercise and number of subjects, so that its effects can be more generalizable.

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Optimal shape design of a polymer extrusion die by inverse formulation

  • Na, Su-Yeon;Lee, Tai-Yong
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1995년도 Proceedings of the Korea Automation Control Conference, 10th (KACC); Seoul, Korea; 23-25 Oct. 1995
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    • pp.315-318
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    • 1995
  • The optimum design problem of a coat-hanger die is solved by the inverse formulation. The flow in the die is analyzed using three-dimensional model. The new model for the manifold geometry is developed for the inverse formulation. The inverse problem for the optimum die geometry is formed as the optimization problem whose objective function is the linear combination of the square sum of pressure gradient deviation at die exit and the penalty function relating to the measure of non-smoothness of solution. From the several iterative solutions of the optimization problem, the optimum solution can be obtained automatically while producing the uniform flow rate distribution at die exit.

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Machine Vision을 이용한 기둥형 물체의 3차원 측정 (3-Dimensional Measurement of the Prismatic Polyhedral Object using Machine Vision.)

  • 조철규;이석희
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1996년도 추계학술대회 논문집
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    • pp.733-737
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    • 1996
  • This paper presents a method to measure tile position and orientation of a prismatic polyhedral object (of unknown width, length, height, and number of vertices) using machine vision. The width, length, and origin of workplace where an object is lying are defined as Preliminary operation. The edges of an object are detected from captured image using least sum of square error. The information of an object is determined from the geometric relationships between edges. As an user interface, a versatile image processing program is developed in several modules, and renders a very useful 3D measurement at a limited constraints when adopted in automation of production process. The flexibility of camera position from the algorithm developrf can be used for automated pick and place operations and feeding workpiece u: ;ing assembly robot.

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