• Title/Summary/Keyword: Geometric analysis

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Development of a Wheel/Rail Geometric Contact Simulation Program (차륜/레일 기하학적 접촉 시뮬레이션 프로그램 개발)

  • 한형석;이은호;김재철
    • Journal of the Korean Society for Railway
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    • v.6 no.1
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    • pp.58-65
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    • 2003
  • Wheel/Rail geometric constraint relationships, such as effective conicity and gravitational stiffness, strongly influence the lateral dynamics of railway vehicles. In general, these geometric contact characteristics are nonlinear functions of the wheelset lateral displacement. There is a need to develop a wheel/rail geometric contact simulation program for wheels and rails with arbitrary profiles for the prediction of the dynamic behavior of railway vehicles. An algorithm to simulate any combination of wheels and rails is employed and a GUI for easy analysis is constructed. The simulation program is applied to KTX which will run on both KTX and conventional rails, two rail standards having different rail profiles. The results show that the two rail systems have different geometric contact characteristic

GEOMETRIC ANALYSIS ON THE DIEDERICH-FORNÆSS INDEX

  • Krantz, Steven George;Liu, Bingyuan;Peloso, Marco Maria
    • Journal of the Korean Mathematical Society
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    • v.55 no.4
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    • pp.897-921
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    • 2018
  • Given bounded pseudoconvex domains in 2-dimensional complex Euclidean space, we derive analytical and geometric conditions which guarantee the Diederich-$Forn{\ae}ss$ index is 1. The analytical condition is independent of strongly pseudoconvex points and extends $Forn{\ae}ss$-Herbig's theorem in 2007. The geometric condition reveals the index reflects topological properties of boundary. The proof uses an idea including differential equations and geometric analysis to find the optimal defining function. We also give a precise domain of which the Diederich-$Forn{\ae}ss$ index is 1. The index of this domain can not be verified by formerly known theorems.

A Survey: application of geometric modeling techniques to ship modeling and design

  • Ko, Kwang-Hee
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.2 no.4
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    • pp.177-184
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    • 2010
  • In this study, geometric modeling techniques and their application to ship modeling and design are presented. Traditionally the hull shape is defined by using curves called the lines and various necessary computations are performed based on the discrete points obtained from the lines. However, some applications find difficulty in using the lines such as seakeeping analysis, which requires the computation of wetted part that is changing dynamically over time. To overcome such a problem and increase accuracy and efficiency in computation, two essential geometric modeling techniques, surface modeling and surface-to-surface intersection, are introduced and their application to ship modeling and analysis including hydrostatic computation, slamming and seakeeping analyses is presented.

Error Estimation for the Semi-Analytic Design Sensitivity Using the Geometric Series Expansion Method (기하급수 전개법을 이용한 준해석 민감도의 오차 분석)

  • Dan, Ho-Jin;Lee, Byung-Chai
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.2
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    • pp.262-267
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    • 2003
  • Error of the geometric series expansion method for the structural sensitivity analysis is estimated. Although the semi-analytic method has several advantages, accuracy of the method prevents it from practical application. One of the promising remedies is the use of geometric series formula for the matrix inversion. Its result of the sensitivity analysis converges that of the global difference method which is known as reliable one. To reduce computational efforts and to obtain reliable results, it is important to know how many terms need to expand. In this paper, the error formula is presented and Its usefulness is illustrated through numerical experiments.

Nonlinear Numerical Analysis and Experiment of Composite Laminated Plates (복합재 적층판재의 비선형 수치해석 및 실험)

  • 조원만;이영신;윤성기
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.12
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    • pp.2915-2925
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    • 1993
  • A finite element program using degenerated shell element was developed to solve the geometric, material and combined nonlinear behaviors of composite laminated plates. The total Lagrangian method was implemented for geometric nonlinear analysis. The material nonlinear behavior was analyzed by considering the matrix degradation due to the progressive failure in the matrix and matrix-fiber interface after initial failure. The results of the geometric nonlinear analyses showed good agreements with the other exact and numerical solutions. The results of the combined nonlinear analyses considered both geometric and material nonlinear behaviors were compared to the experiments in which a concentrated force was applied to the center of the square laminated plate with clamped four edges.

Geometric Error Analysis of Contact Type Three Points Supporting Method for Inner Diameter Measurement (접촉식 3점지지법에 의한 내경측정의 기하학적 오차 해석)

  • Kim, Min-Ho;Kim, Tae-Young
    • Journal of the Korean Society for Precision Engineering
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    • v.25 no.5
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    • pp.69-76
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    • 2008
  • Inner diameter of bearing race is automatically measured by complete inspection system after grinding process. Contact type three points supporting method is widely applied to automatic inner diameter measurement because of its excellent stability. However, the geometric consideration regarding three points supporting method is not sufficient. In this study, the error equation from geometric error analysis of three points supporting method is found. The effect of factors in the error equation is also investigated. The error equation is linear for difference of diameter in sample and master on range of tolerance. An error becomes more and more larger, when the distance of two supporting balls or the diameter of supporting ball are increased. In the result, some considerations are proposed for measurement of inner diameter by the three points supporting method.

Path Analysis of Geometric Psychology type, Positive Psychological Capital, and Communication Competence for University Students (대학생의 도형심리 유형, 긍정심리자본, 의사소통능력 간의 경로분석)

  • Kim, Myoung-Sook;SEO, Ho-Chan
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.19 no.6
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    • pp.355-364
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    • 2018
  • The objective of this study is to conduct basic research for the development of programs for improving university students' communication competence. As such, it seeks to determine if positive psychological capital can mediate the relationship between the geometric psychology type and communication competence. To that end, 321 Korean university students were surveyed using a questionnaire, and the data underwent scale reliability analysis, regression analysis, and path analysis. Regression analysis revealed the consistent regression results of variables, including geometric psychology type, positive psychological capital, and communication competence. Path analysis confirmed that positive psychological capital mediated the relationship between the geometric psychology type and communication competence, and the results suggested different patterns according to type of geometric psychology. The circle type mediated the sub-variable resilience vis-a-vis communication competence, and directly influenced the latter. The triangle type mediated the sub-factors of positive psychological capital - self-efficacy and resilience -vis-a-vis communication competence, and thus influencing the latter. The square type mediated the sub-factor of positive psychological capital - self-efficacy - vis-a-vis communication competence, and directly influenced the latter. The S type did not mediate positive psychological capital vis-a-vis communication competence, but directly influenced the latter. Thus, considering the above findings, in order to develop university students communication improvement programs, programs should be developed with the application of positive psychological capital considering geometric psychology type.

EOMETRIC ANALYSIS OF NET PRESENT VALUE AND INTERNAL RATE OF RETURN

  • GABRIEL FILHO, L.A.;CREMASCO, C.P.;PUTTI, F.F.;GOES, B.C.;MAGALHAES, M.M.
    • Journal of applied mathematics & informatics
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    • v.34 no.1_2
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    • pp.75-84
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    • 2016
  • The objective of this work is to perform a geometric analysis of the net present value (NPV) and Internal Rate of Return (IRR), defining analytics and in verifying the relationship between geometric properties of such functions. For this simulation, was used the values of the cash flows for each period identical and equal to US$ 200.00 cash, the initial investment US$ 1,000.00 and investments of each identical and equal to US$ 50.00 period. In addition, the discount rate and time were considered a maximum of 2 years (24 months) at a rate between 0 and 100%. The geometric analysis of the characteristics obtained from the expressions of the Net Present Value and Internal Rate of Return possible to observe that besides the analytical dependence between these quantities , the geometric relationships are relevant when studied in relation to the zero NPV and expressed a great contribution the sense of a broad vision for the administrator in the analysis of analytical variables that in uences the balance sheet of the company.

A new hierarchic degenerated shell element for geometrically non-linear analysis of composite laminated square and skew plates

  • Woo, Kwang-Sung;Park, Jin-Hwan;Hong, Chong-Hyun
    • Structural Engineering and Mechanics
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    • v.17 no.6
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    • pp.751-766
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    • 2004
  • This paper extends the use of the hierarchic degenerated shell element to geometric non-linear analysis of composite laminated skew plates by the p-version of the finite element method. For the geometric non-linear analysis, the total Lagrangian formulation is adopted with moderately large displacement and small strain being accounted for in the sense of von Karman hypothesis. The present model is based on equivalent-single layer laminate theory with the first order shear deformation including a shear correction factor of 5/6. The integrals of Legendre polynomials are used for shape functions with p-level varying from 1 to 10. A wide variety of linear and non-linear results obtained by the p-version finite element model are presented for the laminated skew plates as well as laminated square plates. A numerical analysis is made to illustrate the influence of the geometric non-linear effect on the transverse deflections and the stresses with respect to width/depth ratio (a/h), skew angle (${\beta}$), and stacking sequence of layers. The present results are in good agreement with the results in literatures.

Serviceability reliability analysis of cable-stayed bridges

  • Cheng, Jin;Xiao, Ru-Cheng
    • Structural Engineering and Mechanics
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    • v.20 no.6
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    • pp.609-630
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    • 2005
  • A reliability analysis method is proposed in this paper through a combination of the advantages of the response surface method (RSM), finite element method (FEM), first order reliability method (FORM) and the importance sampling updating method. The accuracy and efficiency of the method is demonstrated through several numerical examples. Then the method is used to estimate the serviceability reliability of cable-stayed bridges. Effects of geometric nonlinearity, randomness in loading, material, and geometry are considered. The example cable-stayed bridge is the Second Nanjing Bridge with a main span length of 628 m built in China. The results show that the cable sag that is part of the geometric nonlinearities of cable-stayed bridges has a major effect on the reliability of cable-stayed bridge. Finally, the most influential random variables on the reliability of cable-stayed bridges are identified by using a sensitivity analysis.