• Title/Summary/Keyword: Trial Functions

검색결과 236건 처리시간 0.026초

Mesh distortion sensitivity of 8-node plane elasticity elements based on parametric, metric, parametric-metric, and metric-parametric formulations

  • Rajendran, S.;Subramanian, S.
    • Structural Engineering and Mechanics
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    • 제17권6호
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    • pp.767-788
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    • 2004
  • The classical 8-node isoparametric serendipity element uses parametric shape functions for both test and trial functions. Although this element performs well in general, it yields poor results under severe mesh distortions. The distortion sensitivity is caused by the lack of continuity and/or completeness of shape functions used for test and trial functions. A recent element using parametric and metric shape functions for constructing the test and trial functions exhibits distortion immunity. This paper discusses the choice of parametric or metric shape functions as the basis for test and/or trial functions, satisfaction of continuity and completeness requirements, and their connection to distortion sensitivity. Also, the performances of four types of elements, viz., parametric, metric, parametric-metric, and metric-parametric, are compared for distorted meshes, and their merits and demerits are discussed.

Mesh distortion, locking and the use of metric trial functions for displacement type finite elements

  • Kumar, Surendra;Prathap, G.
    • Structural Engineering and Mechanics
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    • 제29권3호
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    • pp.289-300
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    • 2008
  • The use of metric trial functions to represent the real stress field in what is called the unsymmetric finite element formulation is an effective way to improve predictions from distorted finite elements. This approach works surprisingly well because the use of parametric functions for the test functions satisfies the continuity conditions while the use of metric (Cartesian) shape functions for the trial functions attempts to ensure that the stress representation during finite element computation can retrieve in a best-fit manner, the actual variation of stress in the metric space. However, the issue of how to handle situations where there is locking along with mesh distortion has never been addressed. In this paper, we show that the use of a consistent definition of the constrained strain field in the metric space can ensure a lock-free solution even when there is mesh distortion. The three-noded Timoshenko beam element is used to illustrate the principles. Some significant conclusions are drawn regarding the optimal strategy for finite element modelling where distortion effects and field-consistency requirements have to be reconciled simultaneously.

속도기전력을 갖는 전자력 방정식의 유한요소 해석 (Finite Element Analysis of Electromagnetic Field Equation with Speed E.M.E)

  • Hahn, Song-Yop
    • 대한전기학회논문지
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    • 제36권4호
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    • pp.252-258
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    • 1987
  • Time periodic finite element solutions for sinusoidally excited electromagnetic field problems in moving media are presented. Solutions by the Galerkin method contain spurious oscillations when grid Peclet number is more than one. To suppress these oscillations an upwind finite element method using two different time periodic test functions is introduced. One is multiplied to second and first-order space derivative terma and the other to the time derivative term. Test functions are obtained from trial functions by adding or subtracting quadratic bias functions with appropriate scaling factors. Phase differences are considered between trial functions and bias functions. For simple interpretations of the phase differences, complex scaling factors are used. The proposed method is developed to give nodally exact solutions for uniform grid spacing in one dimensional problems. Based on the one dimensional results, a two dimensional upwinding scheme is also derived.

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VLBI상관서브시스템 시작품의 개발에 관한 연구 (A STUDY ON DEVELOPMENT OF VLBI CORRELATION SUBSYSTEM TRIAL PRODUCT)

  • 오세진;노덕규;염재환;정현수;이창훈
    • 천문학논총
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    • 제24권1호
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    • pp.65-81
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    • 2009
  • We present the performance test results of VLBI Correlation Subsystem (VCS) trial product which was being developed for 1 year from August 2007. It is a core component of Korea-Japan Joint VLBI Correlator (KJJVC). The aim for developing VCS trial product is to improve the performance of VCS main product to reduce the efforts and cost, and to solve the design problems by performing the preliminary test of the manufactured trial product. The function of VCS trial product is that it is able to process the 2 stations-1 baseline, 8 Gbps/station speed, 1.2 Gbps output speed with FX-type. VCS trial product consists of Read Data Control Board (RDC), Fourier Transform Board (FTB), and Correlation and Accumulation Board (CAB). Almost main functions are integrated in the FTB and CAB board. In order to confirm the performance of VCS trial product functions, the spectral analysis, delay compensation and correlation processing experiments were carried out by using simulation and real observation data. We found that the overflow problem of re-quantization after FFT processing was occurred in the delay compensation experiment. We confirmed that this problem was caused by valid bit-expression of the re-quantized data. To solve this problem, the novel method will be applied to VCS main product. The effectiveness of VCS trial product has been verified through the preliminary experimental results, but the overflow problem was occurred.

비균질 탄성 기초위에 놓여있는 직사각형 평판의 고유 진동수 (Natural Frequency of a Rectangular Plate on Non-homogeneous Elastic Foundations)

  • 황주익;김용철;이택순
    • 한국해양공학회지
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    • 제3권2호
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    • pp.570-570
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    • 1989
  • The natural frequencies of a rectangular plate on non-homogeneous elastic foundations were obtained by using the Ritz method and Galerkin method. The results of both methods using the different type of trial functions were also compared. Furthermore, the effects of the variation of boundary conditions, the stiffness of the foundation spring, the dimension ratio of the plate were investigated. As a result, the Galerkin method can be used to obtain the accurate solution and can be effectively used to design the foundation bed.

비균질 탄성 기초위에 놓여있는 직사각형 평판의 고유 진동수 (Natural Frequency of a Rectangular Plate on Non-homogeneous Elastic Foundations)

  • 황주익;김용철;이택순
    • 한국해양공학회지
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    • 제3권2호
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    • pp.70-76
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    • 1989
  • The natural frequencies of a rectangular plate on non-homogeneous elastic foundations were obtained by using the Ritz method and Galerkin method. The results of both methods using the different type of trial functions were also compared. Furthermore, the effects of the variation of boundary conditions, the stiffness of the foundation spring, the dimension ratio of the plate were investigated. As a result, the Galerkin method can be used to obtain the accurate solution and can be effectively used to design the foundation bed.

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A HYBRID METHOD FOR NCP WITH $P_0$ FUNCTIONS

  • Zhou, Qian;Ou, Yi-Gui
    • Journal of applied mathematics & informatics
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    • 제29권3_4호
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    • pp.653-668
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    • 2011
  • This paper presents a new hybrid method for solving nonlinear complementarity problems with $P_0$-functions. It can be regarded as a combination of smoothing trust region method with ODE-based method and line search technique. A feature of the proposed method is that at each iteration, a linear system is only solved once to obtain a trial step, thus avoiding solving a trust region subproblem. Another is that when a trial step is not accepted, the method does not resolve the linear system but generates an iterative point whose step-length is defined by a line search. Under some conditions, the method is proven to be globally and superlinearly convergent. Preliminary numerical results indicate that the proposed method is promising.

효과적인 법정 프레젠테이션을 위한 비주얼커뮤니케이션 디자인 연구 (A Study on Visual Communication Design for Effective Trial Presentation)

  • 백서영
    • 한국콘텐츠학회논문지
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    • 제16권5호
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    • pp.601-611
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    • 2016
  • 구술심리주의의 확산, 국민참여재판의 도입 등 빠른 변화의 흐름 가운데 놓여있는 한국의 법정 환경은 구술주의의 단점을 효과적으로 보완할 수 있는 법정 프레젠테이션의 체계적인 도입을 필요로 하고 있다. 이에 본 연구에서는 한국의 법정 환경을 토대로 법정 프레젠테이션의 개념과 유형, 그리고 효용성을 정리 및 분석하였다. 또한 법정 프레젠테이션의 특수성을 고려하여 미국과 한국에서 가장 범용으로 사용되는 법정 프레젠테이션 도구들을 비교 분석하였다. 이러한 분석을 토대로, 한국의 법정 환경에 최적화된 프레젠테이션 도구가 갖춰야할 요소로서 1. 다양한 형태 매체의 삽입 용이성, 2. 그래픽 스타일 스펙트럼의 적절한 제한, 3. 그래픽 도구의 사용 편의성, 4. 시스템적 기능성 등의 요소를 제안하였다. 이와 같은 제안은 주장 전개와 내용 전달에 있어서 명료성, 정확성, 효율성 등을 강화할 뿐만 아니라 프레젠테이션 비주얼커뮤니케이션 측면의 심미성과 통일성을 증진하기 위한 것이다.

캐비테이션 터널의 시운전시험 및 캐비테이션 시험법개발에 관한 연구 (On the Trial Operation of Cavitation Tunnel and Development of Testing Techniques)

  • 이창섭;김기섭;현범수;송인행
    • 한국기계연구소 소보
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    • 통권10호
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    • pp.79-97
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    • 1983
  • This report includes the general descriptions on the Cavitation Tunnel, newly installed at the Ship Research Station, KIMM, and also on the functions and operating procedures of the major measuring equipments. It also includes the results of the trial operation of the Tunnel and testing techniques in the Cavitation Tunnel.

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월경부조환자의 피부저항변이도에 관한 연구 (A study on Skin Resistance Variability(SRV) of Women with Abnormal Menstrual cycle)

  • 안지선;손영주
    • 대한한방부인과학회지
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    • 제20권2호
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    • pp.176-187
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    • 2007
  • Purpose: Recent studies show that Skin Resistance Variability(SRV) could be related to the functions of Hypothalamus-Pituitary-Ovary(H-P-O) axis. 7-Zone-Diagnostic System is oriental medicine measuring system using SRV. To know the differences of SRV of normal and abnormal menstrual cycle groups, we research the SRV of the two groups. Methods: We measured SRV of two groups that were consist of 126 women who took CP-6000A test in Sangji Oriental Medical Hospital from Mar. 2004 to Feb. 2006. After detection of SRV, we performed correlation analysis by SPSS 12.0. Results: The SRV was measured twice in 7 areas. By the results of 1st trial on Factor AA of the SRV, the patient group's results were lower than normal group's results in all 7 areas. And there were remarkable differences in 1, 2, 3, 4, 5, 7 areas between two groups. By the results of 2nd trial on Factor AA of the SRV, the patient group's results were lower than normal group's results in all 7 areas similar to 1st trial results. And there were remarkable differences in 2, 3 areas between two groups. Conclusion: Comparing normal group with patient group, these results may reflect the relations of abnormal menstrual cycle and H-P-O axis functions. Because patient's results were lower than normal's in all 7 areas. And remarkable different results in 2, 3 areas were repeated by twice trial all. Further study will be needed.

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