• 제목/요약/키워드: spherical functions

검색결과 103건 처리시간 0.031초

초탄성고무 물성평가용 미소압입시험법 개발 및 검증 (Development and Verification of Micro-indentation Technique for Material Property Evaluation of Hyper-elastic Rubber)

  • 이형일;이진행
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2004년도 춘계학술대회
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    • pp.132-137
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    • 2004
  • In this work, effects of hyper-elastic rubber material properties on the indentation load-deflection curve and subindenter deformation are first examined via [mite element (FE) analyses. An optimal data acquisition spot is selected, which features maximum strain energy density and negligible frictional effect. We then contrive two normalized functions. which map an indentation load vs. deflection curve into a strain energy density vs. first invariant curve. From the strain energy density vs. first invariant curve, we can extract the rubber material properties. This new spherical indentation approach produces the rubber material properties in a manner more effective than the common uniaxial tensile/compression tests. The indentation approach successfully measures the rubber material properties and the corresponding nominal stress.strain curve with an average error less than 3%.

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Calculation of NMR Chemical Shift for 5d$^n$ Systems (Ⅰ). Application of the Expansion Method for Spherical Harmonics for Computation of Overlap and Dipole Moment Matrix Elements

  • Ahn, Sang-Woon;Oh, Se-Woung;Park, Eui-Suh
    • Bulletin of the Korean Chemical Society
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    • 제6권1호
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    • pp.3-7
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    • 1985
  • The general formulas for SCF atomic orbitals |5s > and |6p > have been derived separately by expressing the spherical harmonics part in terms of the coordinate($r_1,\;$r_2$) of the reference point, and by translating the exponential part, $r^4\;exp\;(-{\beta}r)$), in terms of $r_1,\;and\;r_2$ and the modified Bessel functions. Master formulas for overlap and dipole moment matrix elements are derived. The computed values of overlap and dipole moment matrix elements for hypothetical NO molecule are exactly in agreement with those for the previous methods.

Spherical Indentation 실험을 이용한 재료 소성 물성치 측정방법 (A Method of Measuring the Plastic Properties of Materials using Spherical Indentation)

  • 이광하;강윤식;;박대효
    • 한국전산구조공학회논문집
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    • 제23권4호
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    • pp.353-360
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    • 2010
  • 본 논문에서는 단 한번 만의 간단한 구형 인덴테이션 임프레션 실험을 통하여 재료 소성 물성치를 측정함에 있어서 효율적인 알고리즘이 개발되었다. 본 논문에서는 레프리젠터티브 스트레인의 새로운 정의를 기반으로 연구가 수행되어 예전의 연구와 비교할 때 상당한 량의 피팅 매개변수의 개수를 줄이게 됨으로서 계산 량이 대폭 줄어들면서 연구가 쉽게 진행될 수 있었다. 또한 레프리젠터티브 스트레인에 대한 새로운 정의는 보다 명확한 물리적 임의를 부여하였다. 역 해석의 신뢰성을 증명하기 위하여 본 논문에서는 거의 모든 공학적 금속과 합금이 포함되는 재료 세트들을 사용하여 해석을 진행하였다. 수치 해석 모델링을 통하여 얻은 P-${\delta}$ 그래프를 바탕으로 하여 인덴테이션 반응 특성과 재료의 탄소성 물성치가 양 함수에 의하여 연계되었고, 역 해석방법을 적용시켜 재료의 항복응력과 power-law 경화 지수가 얻어진다. 마지막으로, 역 해석을 통하여 얻어진 재료 물성 치와 실제 실험을 통하여 얻어진 재료 물성치가 좋은 일치성을 가진다는 것을 보여준다.

MODIFIED SLOPE ROTATABLE CENTRAL COMPOSITE DESIGNS

  • VICTOR BABU B. RE.
    • Journal of the Korean Statistical Society
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    • 제34권2호
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    • pp.153-160
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    • 2005
  • In this paper, modified second order slope rotatable designs are introduced and modified slope rotatable central composite designs (SRCCD) are constructed for $2 {\le} v {\le} 17$ (v: the number of factors). Further, it can be shown for certain values of 'v', the modified SRCCD can be viewed as SRCCD constructed as with the technique of augmentation of second order rotatable design (SORD) using central composite design to SRCCD. These designs are useful in parts to estimate responses and slopes with spherical variance functions.

쉘 구조물의 경계적분법 (A Boundary Integral Method for Elastic Shallow Shell)

  • 김진우
    • 한국군사과학기술학회지
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    • 제7권3호
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    • pp.157-164
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    • 2004
  • This is a boundary integral formulation for elastic shallow shell structures subjected to both membrane and bending loads. Fundamental solutions for shell actions are determined from the plate solutions and, finally the corresponding kernel functions for shell BIEs can be constructed. It is illustrated by solving an example of uniform load of spherical cap.

고무풍선의 일반화 팽창 및 분기 해석 (General inflation and bifurcation analysis of rubber balloons)

  • 박문식
    • 한국산학기술학회논문지
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    • 제19권12호
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    • pp.14-24
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    • 2018
  • 몇 가지 전형적인 기존 및 진보된 초탄성 구성모델들의 고무패치 이축인장 및 구형 또는 원통형 풍선 팽창에서의 불안정성에 대해서 밝힌다. 적용할 구성모델은 neo-Hookean 모델, Mooney-Rivlin 모델, Gent 모델, Arruda-Boyce 모델, Fung 모델, Pucci-Saccomandi 모델 등이다. 팽창 및 분기 해석은 이들 변형에너지 함수들의 막 방정식을 이용하여 수행할 수 있다. 해석에는 사각패치에 대한 Kearsley의 분기현상, 고무풍선의 일반화 한 팽창현상, 고무풍선의 분기현상을 다룬다. 이들 변형에너지 함수들 중에서도 오직 Mooney-Rivlin 모델에서만 Kearsley의 분기현상이 일어남을 확인하였다. 팽창 방정식은 구형풍선과 원통형 풍선을 함께 다룰 수 있도록 일반화 시켰다. 팽창해석에 의하여 극한점과 임계 물성치들을 무차원 압력 및 팽창 부피의 항들로 구하였다. 그렇게 구해진 결과들로부터 분기현상을 구할 수 있었다. 또한 유한요소법을 사용하여 고무류의 구조적 불안정 문제들을 다룰 때 필요한 특별한 조처에 대해서 제안하였다. 결론적으로 고무류의 불안정성을 포함하는 문제를 다룰 때는 해석기법은 물론 구성모델의 선택에 따라 결과가 달라질 수 있으므로 신중한 처리가 요구된다.

Sensitivity analysis of variable curvature friction pendulum isolator under near-fault ground motions

  • Shahbazi, Parisa;Taghikhany, Touraj
    • Smart Structures and Systems
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    • 제20권1호
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    • pp.23-33
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    • 2017
  • Variable Curvature Friction Pendulum (VCFP) bearing is one of the alternatives to control excessive induced responses of isolated structures subjected to near-fault ground motions. The curvature of sliding surface in this isolator is varying with displacement and its function is non-spherical. Selecting the most appropriate function for the sliding surface depends on the design objectives and ground motion characteristics. To date, few polynomial functions have been experimentally tested for VCFP however it needs comprehensive parametric study to find out which one provides the most effective behavior. Herein, seismic performance of the isolated structure mounted on VCFP is investigated with two different polynomial functions of the sliding surface (Order 4 and 6). By variation of the constants in these functions through changing design parameters, 120 cases of isolators are evaluated and the most proper function is explored to minimize floor acceleration and/or isolator displacement under different hazard levels. Beside representing the desire sliding surface with adaptive behavior, it was shown that the polynomial function with order 6 has least possible floor acceleration under seven near-field ground motions in different levels.

다중산란 환경에서의 두개의 산란 위상함수 비교 (COMPARISON OF TWO SCATTERING PHASE FUNCTIONS IN MULTIPLE SCATTERING ENVIRONMENT)

  • 선광일
    • 천문학논총
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    • 제25권4호
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    • pp.113-118
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    • 2010
  • The Henyey-Greenstein (H-G) phase function, which is characterized by a single parameter, has been generally used to approximate the realistic dust-scattering phase function in investigating scattering properties of the interstellar dust. Draine (2003) proposed a new analytic phase function with two parameters and showed that the realistic phase function is better represented by his phase function. If the H-G and Draine's phase functions are significantly different, using the H-G phase function in radiative transfer models may lead to wrong conclusions about the dust-scattering properties. Here, we investigate whether the H-G and Draine's phase functions would indeed produce significant differences in radiative transfer calculations for two simple configurations. For the uniformly distributed dust with an illuminating star at the center, no significant difference is found. However, up to ~ 20% of difference is found when the central star is surrounded by a spherical-shell dust medium and the radiation of $\lambda$ < $2000\;{\AA}$ is considered. It would mean that the investigation of dust-scattering properties using the H-G phase function may produce errors of up to ~ 20% depending on the geometry of dust medium and the radiation wavelength. This amount of uncertainty would be, however, unavoidable since the configurations of dust density and radiation sources are only approximately available.

Application of the Empirical Orthogonal Functions on the GRACE Spherical Harmonic Solutions

  • Eom, Jooyoung;Seo, Ki-Weon
    • 한국지구과학회지
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    • 제39권5호
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    • pp.473-482
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    • 2018
  • During the period of 2002 to 2017, the Gravity Recovery And Climate Experiment (GRACE) had observed time-varying gravity changes with unprecedented accuracy. The GRACE science data centers provide the monthly gravity solutions after removing the sub-monthly mass fluctuation using geophysical models. However, model misfit makes the solutions to be contaminated by aliasing errors, which exhibits peculiar north-south stripes. Two conventional filters are used to reduce the errors, but signals with similar spatial patterns to the errors are also removed during the filtering procedure. This would be particularly problematic for estimating the ice mass changes in Western Antarctic Ice Sheet (WAIS) and Antarctic Peninsula (AP) due to their similar spatial pattern to the elongated north-south direction. In this study, we introduce an alternative filter to remove aliasing errors using the Empirical Orthogonal Functions (EOF) analysis. EOF can decompose data into different modes, and thus is useful to separate signals from noise. Therefore, the aliasing errors are effectively suppressed through EOF method. In particular, the month-to-month mass changes in WAIS and AP, which have been significantly contaminated by aliasing errors, can be recovered using EOF method.

Molecular Dynamics Simulation Studies of Physico Chemical Properties of Liquid Pentane Isomers

  • 이승구;이송희
    • Bulletin of the Korean Chemical Society
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    • 제20권8호
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    • pp.897-904
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    • 1999
  • We have presented the thermodynamic, structural and dynamic properties of liquid pentane isomers - normal pentane, isopentane, and neopentane - using an expanded collapsed atomic model. The thermodynamic properties show that the intermolecular interactions become weaker as the molecular shape becomes more nearly spherical and the surface area decreases with branching. The structural properties are well predicted from the site-site radial, the average end-to-end distance, and the root-mean-squared radius of gyration distribution func-tions. The dynamic properties are obtained from the time correlation functions - the mean square displacement (MSD), the velocity auto-correlation (VAC), the cosine (CAC), the stress (SAC), the pressure (PAC), and the heat flux auto-correlation (HFAC) functions - of liquid pentane isomers. Two self-diffusion coefficients of liquid pentane isomers calculated from the MSD's via the Einstein equation and the VAC's via the Green-Kubo relation show the same trend but do not coincide with the branching effect on self-diffusion. The rotational re-laxation time of liquid pentane isomers obtained from the CAC's decreases monotonously as branching increases. Two kinds of viscosities of liquid pentane isomers calculated from the SAC and PAC functions via the Green-Kubo relation have the same trend compared with the experimental results. The thermal conductivity calculated from the HFAC increases as branching increases.