• Title/Summary/Keyword: Second Order Property

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A virtual parameter to improve stability properties for an integration method

  • Chang, Shuenn-Yih
    • Earthquakes and Structures
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    • v.11 no.2
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    • pp.297-313
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    • 2016
  • A virtual parameter is introduced into the formulation of the previously published integration method to improve its stability properties. It seems that the numerical properties of this integration method are almost unaffected by this parameter except for the stability property. As a result, it can have second order accuracy, explicit formulation and controllable numerical dissipation in addition to the enhanced stability property. In fact, it can have unconditional stability for the system with the instantaneous degree of nonlinearity less than or equal to the specified value of the virtual parameter for the modes of interest for each time step.

THE NUMBERS OF PERIODIC SOLUTIONS OF THE POLYNOMIAL DIFFERENTIAL EQUATION

  • Zhengxin, Zhou
    • Journal of applied mathematics & informatics
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    • v.16 no.1_2
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    • pp.265-277
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    • 2004
  • This article deals with the number of periodic solutions of the second order polynomial differential equation using the Riccati equation, and applies the property of the solutions of the Riccati equation to study the property of the solutions of the more complicated differential equations. Many valuable criterions are obtained to determine the number of the periodic solutions of these complex differential equations.

Structural Dynamics Optimization by Second Order Sensitivity with respect to Finite Element Parameter (유한요소 구조 인자의 2차 민감도에 의한 동적 구조 최적화)

  • Kim, Yong-Yun
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.15 no.3
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    • pp.8-16
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    • 2006
  • This paper discusses design sensitivity analysis and its application to a structural dynamics modification. Eigenvalue derivatives are determined with respect to the element parameters, which include intrinsic property parameters such as Young's modulus, density of the material, diameter of a beam element, thickness of a plate element, and shape parameters. Derivatives of stiffness and mass matrices are directly calculated by derivatives of element matrices. The first and the second order derivatives of the eigenvalues are then mathematically derived from a dynamic equation of motion of FEM model. The calculation of the second order eigenvalue derivative requires the sensitivity of its corresponding eigenvector, which are developed by Nelson's direct approach. The modified eigenvalue of the structure is then evaluated by the Taylor series expansion with the first and the second derivatives of eigenvalue. Numerical examples for simple beam and plate are presented. First, eigenvalues of the structural system are numerically calculated. Second, the sensitivities of eigenvalues are then evaluated with respect to the element intrinsic parameters. The most effective parameter is determined by comparing sensitivities. Finally, we predict the modified eigenvalue by Taylor series expansion with the derivatives of eigenvalue for single parameter or multi parameters. The examples illustrate the effectiveness of the eigenvalue sensitivity analysis for the optimization of the structures.

The Potential Energy Surfaces and Dipole Moment Functions of $NH_2$ by ab initio Effective Valence Shell Hamiltonian

  • 윤승훈;윤영속;박종근;선호성
    • Bulletin of the Korean Chemical Society
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    • v.19 no.9
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    • pp.985-993
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    • 1998
  • The second order effective valence shell Hamiltonian ($H^v$), which is based on quasidegencrate many-body perturbation theory, is applied to determining the potential energy surfaces and the dipole moment functions of the various valence states of $NH_2$. The $H^v$ calculated values are found to be in good agreement with those of other ab initio calculations or experiments. It signifies the fact that the $H^v$ is a good ab initio method to describe the energies and properties of various valence states with a same chemical accuracy. Furthermore, it is shown that the lowest (second order for energy and the first order for property) order $H^v$ method is very accurate for small molecules like $NH_2$ and the matrix elements of Hv which are computed only once are all we need to accurately describe all the valence states simultaneously.

Axis-Slope-Rotatable Designs for Experiments With Mixture

  • Park, Sung H.;Kim, Joo H.
    • Journal of the Korean Statistical Society
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    • v.11 no.1
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    • pp.36-44
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    • 1982
  • A new design concept, called axis-slope-rotatability, is presented for the design of experiments with mixtures. This is an analogue of the Box-Hunter (1957) rotatability for second order response surface designs. By choice of design, it is possible to make the variance of the estimated slopes along the component axes constant for all axial points equidistant from the center point of the factor space. This property is called axis-slope-rotatability for mixture experiments. When the Scheffe's second degree polynomial is used, it is shown that some symmetry conditions are sufficient for axis-slope-rotatability. Several designs having this property are illustrated.

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A Study on the Comparison of Test Methods of Fabric Drapaability (직물의 드레이프성 실험방법에 관한 비교 평가 연구)

  • Choi, In-Ryu;Bang, Hey-Kyong
    • Journal of the Korea Fashion and Costume Design Association
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    • v.16 no.2
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    • pp.189-194
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    • 2014
  • Drape property, one of the dynamic properties, is significant element of appearance and silhouette of garment. There are two methods of measuring drape property: objective method and subjective method. The purpose of this study is to search convenient method of measuring drape property which affects the appearance of garment. The method of this study was as below: First, the drape properties of ten various fabrics were measured within both of professional paper ring and visual handy measuring instrument. Second, Pearson's correlation coefficient was analyzed in order to analyze the correlation of two results of the experiments. This study used professional paper ring and visual handy measuring instrument on ten samples. Both of the results from the paper ring and visual handy measuring instrument were very similar in terms of drape property. Significant correlation between results of the professional paper ring and visual handy method indicates the efficiency of the visual handy measuring at school or work environment etc.

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A Study on the Seller's Liability under Article 42(1) of the CISG (CISG 제42조 (1)항의 매도인의 책임에 관한 소고)

  • Heo, Kwang Uk
    • THE INTERNATIONAL COMMERCE & LAW REVIEW
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    • v.60
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    • pp.47-77
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    • 2013
  • The way for seller to procure the goods for selling is to produce the goods at his own factory and to buy the manufactured goods from the other company. In order to produce the goods for selling the seller have to obtain the resource from the domestic company or overseas. In the middle of producing the goods to sell, seller may breach the right of a third party based on intellectual property rights. That is to say, seller may use the machine that has not itself been patented and use a process which has been patented by a third party. Seller may manufacture the goods which themselves are subject to the third party industrial property rights. Nowadays it is stressed the importance of intellectual property rights such as a patent, brand, and design. These factors consist of the core elements of the competitiveness of the goods. Many embedded software have been used in the various sector. So the disputes regarding to the intellectual property rights is gradually increasing in number. Article 42 of CISG defines the seller's delivery obligations and liabilities in respect to third party intellectual property rights and claims. It contains a special rule for this similar kind of defective in title, which tries to provide an proper solution to the complex problems caused by such rights and claims in international transactions. When seller will apply this clause to the business fields, there are several points to which seller should give attention. First, Intellectual property is general terms in intangible property rights, encompassing both copyright and industrial property. Which matter fall within the scope of intellectual property? The scope of intellectual property can be inferred from the relevant international conventions, which are based on broad international consensus. Second, Article 42 of CISG governs the relationship between the seller and the buyer, that is to say, questions of who has to bear the risk of third party intellectual property rights. The existence of such intellectual property rights, the remedies available and the question of acquiring goods free of an encumbrances in good faith are outside the scope of the CISG. The governing law regarding to the abovementioned matters is needed.

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An Analysis of Elementary School Students과 Personality, Scientific Attitude and Correlation Analysis of between Them (초등학생의 성격특성과 과학적 태도 분석과 이들의 상관관계 연구)

  • 배진호;김언경;김재영
    • Journal of Korean Elementary Science Education
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    • v.23 no.1
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    • pp.1-7
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    • 2004
  • The purpose of this study is to analyze elementary school students' personality, scientific attitude and to find the correlation between elementary school students' personality and scientific attitude. To determine this, the distribution of sixth graders' personality and scientific attitude was examined and correlation between the lower categories of each one was analyzed. The test tools and the subject were decided through the two preliminary examination, personality test and scientific attitude test were investigated appling to a total of 354 sixth-grade students at eight elementary schools in this study. The test results were analyzed with averages, standard deviations, correlations, ANOVA using SPSS/PC/sup +/. The major results of analysis are as follows. First, the distribution of scientific attitude proved that the average of boys' curiosity was higher than that of girls' curiosity, but girls' average was higher than boys' average in criticalness property, cooperation property, preparation property, continuation property and patience property. The distribution of upper group and lower group in personality properties revealed that the ratio of upper group was higher than that of lower group in activity property, social property, but the ratio of lower group was higher than that of upper group in responsibility and reflective property. Second, the socio-populational variables affecting 6th graders' personality' and science attitude were a sex, a sibling order. The cognition variables affecting 6th graders' personality and science attitude were preference, extent of usability to practical life and interest of science. Third, analyzing the correlation between lower categories of personality and lower categories of science attitude revealed that activity property of personality rather highly correlated to willingness property, critical property at .399(p<.01), .351(p<.01) respectively. and that consideration property of personality highly correlated to curiosity, critical property at .451 (p<.01), .415(p<.01) respectively.

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A Study of the Development of Disposable Diapers for the Elderly in Need(II) (거동 부자유 노인을 위한 일회용 기저귀 개발에 관한 연구(II))

  • 조진숙;최진희;허은영
    • Journal of the Korean Home Economics Association
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    • v.38 no.12
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    • pp.73-84
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    • 2000
  • This article is a continuing report about a development of disposable diapers for the elderly in need. In previous report, the first prototypes of disposable diapers in two different categories have been developed. One was a panty type and the other was a pad type. These prototypes were results of property test and wear test of existing disposable diapers in each categories. Yet, in order to develop useable products, the second property and wear tests using the first prototype diapers were carried out. Considering the resets of the second tests, enhancements to the first prototypes were made to refine the second prototypes. The panty type diaper were altered to be longer to prevent evacuation from leaking and fit better. The pad type diapers were altered to reduce thickness for comfort and wearing appearance when get dressed. Ultimately a lot more disposable diapers will be required in future. Resulting suggestions are as follows. Anthropometric data around hip area of elderly in both sexes have to be collected to give meaningful information to diaper manufacturers, so that they can manufacture for different sizes and different sexes. Also we suggests that diapers for specific disease such as diabetics have to be designed accordingly.

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A Class of Multi-Factor Designs for Estimating the Slope of Response Surfaces

  • Park, Sung H.
    • Journal of Korean Society for Quality Management
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    • v.14 no.1
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    • pp.26-32
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    • 1986
  • A class of multi-factor designs for estimating the slope of second order response surfaces is presented. For multi-factor designs the variance of the estimated slope at a point is a function of the direction of measurement of the slope and the design. If we average the variance over all possible directions, the averaged variance is only a function of the point and the design. By choice of design, it is possible to make this variance constant for all points equidistant from the design origin. This property is called "slope-rotatability over all directions", and the necessary and sufficient conditions for a design to have this property are given and proved. The class of design with this property is mainly discussed.

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