• 제목/요약/키워드: 1-dimensional distribution

검색결과 1,319건 처리시간 0.034초

Metal Deposit Distribution in Barrel Plating of Partially Conductive Load

  • 이완구
    • 기술사
    • /
    • 제16권3호
    • /
    • pp.68-73
    • /
    • 1983
  • IC전자부품 중 DIP계 종류를 바렐을 사용하여 주석도금 할 때에 그 전착현상을 조사하여 부분전류의 동태를 설명할 수 있는 변화인자를 알아보려 하였다. DIP와 같은 모양인 IC부품은 부분전도체로 구분되어지며 그 전착상태를 one-dimensional model로 분석하였을때, 가입전류밀도, 바렐의 회전속도, 용액중 금속이온 농도와 깊은 관계가 있음을 보인다. 다공질과 같은 것으로 간주한 one-dimensional model로서 의 이론식은 J=$\delta$'/$\beta$-{-c$^3$/${\gamma}$-exp-(1-$\alpha$)n$\Phi$}로 표현된다.

  • PDF

A combined stochastic diffusion and mean-field model for grain growth

  • Zheng, Y.G.;Zhang, H.W.;Chen, Z.
    • Interaction and multiscale mechanics
    • /
    • 제1권3호
    • /
    • pp.369-379
    • /
    • 2008
  • A combined stochastic diffusion and mean-field model is developed for a systematic study of the grain growth in a pure single-phase polycrystalline material. A corresponding Fokker-Planck continuity equation is formulated, and the interplay/competition of stochastic and curvature-driven mechanisms is investigated. Finite difference results show that the stochastic diffusion coefficient has a strong effect on the growth of small grains in the early stage in both two-dimensional columnar and three-dimensional grain systems, and the corresponding growth exponents are ~0.33 and ~0.25, respectively. With the increase in grain size, the deterministic curvature-driven mechanism becomes dominant and the growth exponent is close to 0.5. The transition ranges between these two mechanisms are about 2-26 and 2-15 nm with boundary energy of 0.01-1 J $m^{-2}$ in two- and three-dimensional systems, respectively. The grain size distribution of a three-dimensional system changes dramatically with increasing time, while it changes a little in a two-dimensional system. The grain size distribution from the combined model is consistent with experimental data available.

A Distribution of Terminal Time Value and Running Maximum of Two-Dimensional Brownian Motion with an Application to Barrier Option

  • Lee, Hang-Suck
    • 한국통계학회:학술대회논문집
    • /
    • 한국통계학회 2003년도 추계 학술발표회 논문집
    • /
    • pp.73-78
    • /
    • 2003
  • This presentation derives a distribution function of the terminal value and running maximum of two-dimensional Brownian motion {X(t) = (X$_1$(t), X$_2$(T))', t > 0}. One random variable of the joint distribution is the terminal time value of the Brownian motion {X$_1$(t), t > 0}. The other random variable is the partial-time running maximum of the Brownian motion {X$_2$(t), t > 0}. With this distribution function, this presentation also derives an explicit pricing formula for a barrier option whose monitoring period of the option starts at an arbitrary date and ends at another arbitrary date before maturity.

  • PDF

Evaluation of Carbon Fiber distribution in Unidirectional CF/Al Composites by Two-Dimensional Spatial Distribution Method

  • Lee, Moonhee;Kim, Sungwon;Lee, Jongho;Hwang, SeungKuk;Lee, Sangpill;Sugio, Kenjiro;Sasaki, Gen
    • 한국산업융합학회 논문집
    • /
    • 제21권1호
    • /
    • pp.29-36
    • /
    • 2018
  • Low pressure casting process for unidirectional carbon fiber reinforced aluminum (UD-CF/Al) composites which is an infiltration route of molten Al into porous UD-CF preform has been a cost-effective way to obtain metal matrix composites (MMCs) but, easy to cause non-uniform fiber distribution as CF clustering. Such clustered CFs have been a problem to decrease the density and thermal conductivity (TC) of composites, due to the existence of pores in the clustered area. To obtain high thermal performance composites for heat-sink application, the relationship between fiber distribution and porosity has to be clearly investigated. In this study, the CF distribution was evaluated with quantification approach by using two-dimensional spatial distribution method as local number 2-dimension (LN2D) analysis. Note that the CFs distribution in composites sensitively changed by sizes of Cu bridging particles between the CFs added in the UD-CF preform fabrication stage, and influenced on only $LN2D_{var}$ values.

Two-dimensional rod theory for approximate analysis of building structures

  • Takabatake, Hideo
    • Earthquakes and Structures
    • /
    • 제1권1호
    • /
    • pp.1-19
    • /
    • 2010
  • It has been known that one-dimensional rod theory is very effective as a simplified analytical approach to large scale or complicated structures such as high-rise buildings, in preliminary design stages. It replaces an original structure by a one-dimensional rod which has an equivalent stiffness in terms of global properties. If the structure is composed of distinct constituents of different stiffness such as coupled walls with opening, structural behavior is significantly governed by the local variation of stiffness. This paper proposes an extended version of the rod theory which accounts for the two-dimensional local variation of structural stiffness; viz, variation in the transverse direction as well as longitudinal stiffness distribution. The governing equation for the two-dimensional rod theory is formulated from Hamilton's principle by making use of a displacement function which satisfies continuity conditions across the boundary between the distinct structural components in the transverse direction. Validity of the proposed theory is confirmed by comparison with numerical results of computational tools in the cases of static, free vibration and forced vibration problems for various structures.

단 1차형 양측식 선형 유도 전동기의 2차원 자속 분포 해석에 관한 연구 (A study on the 2-dimensional flux distribution analysis of a double sided linear induction machine wi th a short primary type)

  • 임달호;조윤현;김동진
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 1988년도 추계학술대회 논문집 학회본부
    • /
    • pp.333-336
    • /
    • 1988
  • This paper is presented the two dimensional flux distribution analysis of a double sided linear induction moter with the end effects and the transeverse edge effects, which is caused by the finite length and width of the stator iron. The results are expected to be used to increased the understanding of DLIM characteristics and design

  • PDF

Prediction of ions migration behavior in mortar under 2-D ALMT application to inhibit ASR

  • Liu, Chih-Chien;Kuo, Wen-Ten
    • Computers and Concrete
    • /
    • 제14권3호
    • /
    • pp.263-277
    • /
    • 2014
  • This study investigated four electric field configurations of two-dimensional accelerate lithium migration technique (ALMT), including line-to-line, plane-to-line, contour-to-line and plane-to-plane, and analyzed the ion migration behavior and efficiency. It was found that the free ion distribution diagram and voltage distribution diagram were similar, and ions migrated in the power line direction. The electrode modules were used for the mortar specimen with w/c ratio of 0.5. The effectively processed areas accounted for 14.1%, 39.0%, 49.4% and 51.4% of total area respectively on Day 28. Larger electrode area was more advantageous to ion migration. In addition, it was proved that the two-dimensional electric field could be divided into different equifield line active regions, and regarded as affected by one-dimensional electric field, and the ion migration results in various equifield line active regions were predicted by using the duration analysis method based on the theoretical model of ion migration obtained from one-dimensional test.

Analysis of Three Dimensional Crack Growth by Using the Symmetric Galerkin Boundary Element Method

  • Kim, Tae-Soon;Park, Jai-Hak
    • International Journal of Safety
    • /
    • 제2권1호
    • /
    • pp.17-22
    • /
    • 2003
  • In order to analyze general three dimensional cracks in an infinite body, the symmetric Galerkin boundary element method formulated by Li and Mear is used. A crack is modelled as distribution of displacement discontinuities, and the governing equation is formulated as singularity-reduced integral equations. With the proposed method several example problems for three dimensional cracks in an infinite solid, as well as their growth under fatigue, are solved and the accuracy and efficiency of the method are demonstrated.

Cooperative Communication with Different Combining Techniques in One-Dimensional Random Networks

  • Duy, Tran Trung;Kong, Hyung-Yun
    • Journal of electromagnetic engineering and science
    • /
    • 제12권1호
    • /
    • pp.13-19
    • /
    • 2012
  • In this paper, we investigate cooperative transmission in one-dimensional random wireless networks. In this scheme, a stationary source communicates with a stationary destination with the help of N relays, which are randomly placed in a one-dimensional network. We derive exact and approximate expressions of the average outage probability over Rayleigh fading channels. Various Monte-Carlo simulations are presented to verify the accuracy of our analyses.

Two-Dimensional Probability Functions of Morphological Dilation and Erosion of a Memoryless Source

  • Sangsin Na;Park, Tae-Young
    • Journal of Electrical Engineering and information Science
    • /
    • 제1권1호
    • /
    • pp.151-155
    • /
    • 1996
  • This paper derives the two-dimensional probability distribution and density functions of morphological dilation and erosion of a one-dimensional memoryless source and reports numerical results for a uniform source, thus providing methodology for joint distributions for other morphological operations. The joint density functions expressed in closed forms contain the Dirac delta functions due to the joint discontinuity within the dilation and erosion. They also exhibit symmetry between these two morphological density functions of dilated and/or eroded sources, in the computation of other higher moments thereof, and in multidimensional quantization.

  • PDF