• Title/Summary/Keyword: backward difference

Search Result 255, Processing Time 0.021 seconds

A ROENTGENOCEPHALOMETRIC STUDY ON THE REST POSITION OF THE MANDIBLE IN MALOCCLUSION (부정교합자의 하악안정위에 관한 두부 X선학적 연구)

  • Lee, June-Kyu
    • The korean journal of orthodontics
    • /
    • v.4 no.1
    • /
    • pp.13-19
    • /
    • 1974
  • In orthodontic view points, there were a few attempts to describe on the mandibular rest position with roentgenocephalometric studies for the persons with malocclusion. The purpose of the present study was to evaluate and interpret the difference in each of the Angle's classification of the malocclusion. The author has selected 115 malocclusion patients of the both sexes as subjects, whose dental ages were from III A. Two lateral cephalometric head films were taken mandible at rest and with the teeth in occlusion utilizing the Broadbent-Bolton cephalometer. Their linear and angular measurements were made directly. The author obtained the following results: 1) The change in the incisal overbite was of $-2.32\~-3.36mm$, and the overjet decreased similiarly in each class of the malocclusion. 2) The range of free-way space was of $1.97\~3.56mm$, and showed prominent in the Angle's class III malocclusion. 3) In the rest position, the mandible showed backward displacement, and it was prominent in the Angle's class III malocclusion. 4) In the change of Ar-Gn, the class I and II showed more increase of distance-than the class III. 5) In the change of ${\angel}SNL_1L_1'$, the class III showed smaller angle than the class I and II. 6) There was no significant difference between the male and female in each class of the malocclusion.

  • PDF

An Imprevement of the Approximate-Factorization Scheme and Its Application to the Analysis of Incompressible Viscous Flows (근사인자화법의 개량과 비압축성 유동해석에의 응용)

  • 신병록
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.19 no.8
    • /
    • pp.1950-1963
    • /
    • 1995
  • A modification of the approximate-factorization method is made to accelerate the convergency rate and to take sufficiently large Courant number without loss of accuracy. And a stable implicit finite-difference scheme for solving the incompressible Navier-Stokes equations employed above modified method is developed. In the present implicit scheme, the volume fluxes with contravariant velocity components and the pressure formulation in curvilinear coordinates is adopted. In order to satisfy the continuity condition completely and to remove spurious errors for the pressure, the Navier-Stokes equations are solved by a modified SMAC scheme using a staggered gird. The upstream-difference scheme such as the QUICK scheme is also employed to the right hand side. The implicit scheme is unconditionally stable and satisfies a diagonally dominant condition for scalar diagonal linear systems of implicit operator on the left hand side. Numerical results for some test calculations of the two-dimensional flow in a square cavity and over a backward-facing step are obtained using both usual approximate-factorization method and the modified one, and compared with each other. It is shown that the present scheme allows a sufficiently large Courant number of O(10$^{2}$) and reduces the computing time.

Three-Dimensional Transition in the Wake of a Circular Cylinder By Direct Numerical Simulation (DNS에 의한 원주 후류에서의 3차원 천이)

  • Knag, S.J.;Tanahashi, M.;Miyauchi, T.;Mo, J.O.;Lee, Y.H.
    • Proceedings of the KSME Conference
    • /
    • 2001.11b
    • /
    • pp.570-577
    • /
    • 2001
  • Three-dimensional time-dependent flow past a circular cylinder is numerically investigated using direct numerical simulation for Reynolds number 280 and 300. The higher-order finite difference scheme is employed for the spatial distributions along with the second order Adams-Bashforth and the first order backward-Euler time integration. In x-y plane, the convection term is applied by the 5th order upwind scheme and the pressure and viscosity terms are applied by the 4th order central difference. And in spanwise, Navier-Stokes equation is distributed using of Spectral Method. At Reynolds number 259 the two-dimensional wake becomes linearly unstable to a second branch of modes with wavelength about 1.0 diameters at onset (B-mode). Present results of three-dimensional effects of in wake of a circular cylinder is represented with spanwise and streamwise vorticity contours as Reynolds numbers.

  • PDF

Analysis of Flexible Media Behavior by Dynamic Elastica (Dynamic Elastica에 의한 유연매체의 거동해석)

  • Hong, Sung-Kwon;Jee, Jung-Geun;Jang, Yong-Hoon;Park, No-Cheol;Park, Young-Pil
    • Transactions of the Korean Society for Noise and Vibration Engineering
    • /
    • v.15 no.2 s.95
    • /
    • pp.206-212
    • /
    • 2005
  • In many machines handling lightweight and flexible media, such as magnetic tape drives, xerographic copiers and sewing machines, the media must transit an open space. It is important to predict the static and dynamic behavior of the sheets with a high degree of reliability. The nonlinear theory of the dynamic elastica has often been used to a nonlinear dynamic deflection model. In this paper, the governing equation is derived and simulated by the finite difference method. The parametric cubic curve is applied for defining the guide shape. The dynamic contact conditions suggested by Klarbring is used to predict the direction of the flexible media according to the initial velocity and the friction coefficient. The analysis is also compared to the conventional model, showing that after contacting a $45^{\circ}$ wall, the directions of flexible media of two models are different.

Transient heat transfer of unidirectional (1D) and multidirectional (2D/3D) functionally graded panels

  • Samarjeet Kumar;Vishesh Ranjan Kar
    • Steel and Composite Structures
    • /
    • v.49 no.5
    • /
    • pp.587-602
    • /
    • 2023
  • This article presents the numerical modelling of transient heat transfer in highly heterogeneous composite materials where the thermal conductivity, specific heat and density are assumed to be directional-dependent. This article uses a coupled finite element-finite difference scheme to perform the transient heat transfer analysis of unidirectional (1D) and multidirectional (2D/3D) functionally graded composite panels. Here, 1D/2D/3D functionally graded structures are subjected to nonuniform heat source and inhomogeneous boundary conditions. Here, the multidirectional functionally graded materials are modelled by varying material properties in individual or in-combination of spatial directions. Here, fully spatial-dependent material properties are evaluated using Voigt's micromechanics scheme via multivariable power-law functions. The weak form is obtained through the Galerkin method and solved further via the element-space and time-step discretisation through the 2D-isoparametric finite element and the implicit backward finite difference schemes, respectively. The present model is verified by comparing it with the previously reported results and the commercially available finite element tool. The numerous illustrations confirm the significance of boundary conditions and material heterogeneity on the transient temperature responses of 1D/2D/3D functionally graded panels.

An Analysis of Aerosol Mass Concentrations and Elemental Constituents Measured at Cheongwon depending on the Backward Trajectories of Air Parcel in East Asia in 2011 (2011년 동아시아에서 기류의 이동 경로에 따른 청원에서 측정한 에어로졸 질량 농도 및 원소 성분 분석)

  • Kim, Hak-Sung;Byun, Kwang-Tae;Chung, Yong-Seung;Choi, Hyun-Jung;Kim, Min-Jung
    • Journal of Environmental Science International
    • /
    • v.21 no.7
    • /
    • pp.855-863
    • /
    • 2012
  • This study analyzed mass concentrations of TSP, PM10 and PM2.5 and elemental constituents according to the isentropic backward trajectories of air parcel from Cheongwonin East Asia during the period January - October, 2011. Mass concentrations of the continental polluted airflow (CP) showed levels of TSP and PM10 mass concentrations higher than the continental background airflow (CB). Also, PM2.5 mass concentrations of anthropogenic fine particles ran higher in CP than in CB. The elemental constituents and elemental constituent ratio ended up varying depending on the origin of atmospheric aerosols generated. The average absolute content of elemental constituents reached its height in CB, the ratio of anthropogenically originating elements (PE) among the all elements (AE) analyzed marked a high in CP, and Mg+Na/AE reached its height in the oceanic airflow (OA). At the same time, TSP, PM10 and PM2.5 mass concentrations, the ratio of PM2.5/TSP and PE/AE element ratio ran higher in CP than CB. Episodes of large-scale transport of atmospheric pollutants as observed at Cheongwon were 8 cases and 22 days. The ratios of PM10, PM2.5 among TSP mass concentrations showed different results and the ratios of PM2.5 showed an increasing trend in the episodes of anthropogenic air pollution transport. Overall, dustfall episodes show a level of elemental constituents higher than those of anthropogenic air pollution.Dustfall episodes were observed to contain more of Fe, Al and Ca originating from continental soils and those of air pollution were observed to contain more of Zn, Mn, Cu and Pb. By difference in contents of absolute elemental constituents, episodes of anthropogenic air pollution showed a high PE/AE rate, and dustfall episodes a high SE/AE rate.

A study on the relationship of the mandibular symphysis and anterior alveolar and skeletal morphology according to the rotational growth pattern of mandible in skeletal Class III malocclusion (하악골 회전성장 양상에 따른 골격성 III급 부정교합자의 이부 및 상하악 절치부의 형태적 특성에 관한 연구)

  • Kim, Seok-Jun;Son, Woo-Sung
    • The korean journal of orthodontics
    • /
    • v.29 no.3 s.74
    • /
    • pp.303-315
    • /
    • 1999
  • The aim of this study was to evaluate the morphology of the mandibular symphysis and anterior alveolar and skeletal relationship under the influence of the rotational growth pattern of mandible in skeletal Class III malocclusion. A total of U untreated adult subjects were divided into two groups-forward rotational growth pattern group, backward rotational growth pattern group-according to the suggestion of Skieller et al.. The antero-posterior position, vertical relationship, mandibular symphysis and anterior alveolar and skeletal relationship were assessed on lateral cephalometric radiographs. Mandibular symphysis and anterior alveolar and skeletal relationship in each subject were studied and the following conclusions were drawn : 1. Concerning the antero-posterior position, forward rotational growth pattern group showed significantly larger SNA, SNB. Conceming the vertical relationship, all measurements showed statistically significant differences. 2. Forward rotatioal growth pattern group showed significantly larger IMPA, MnAD, backward rotational growth pattern group showed significantly larger MxABH. 3. There was no statistically significant difference in symphysis ratio to mandibular plane between forward and backward rotational growth pattern group. 4. In the correlative analysis of rotational growth pattern of mandible and mandibular symphysis, anterior alveolar and skeletal relationship, statistically significant correlations in overbite, IMPA, MnAD, symphysis width were showed.

  • PDF

Comparison of Simulated PEC Probe Performance for Detecting Wall Thickness Reduction

  • Shin, Young-Kil;Choi, Dong-Myung;Jung, Hee-Sung
    • Journal of the Korean Society for Nondestructive Testing
    • /
    • v.29 no.6
    • /
    • pp.563-569
    • /
    • 2009
  • In this paper, four different types of pulsed eddy current(PEC) probe are designed and their performance of detecting wall thickness reduction is compared. By using the backward difference method in time and the finite element method in space, PEC signals from various thickness and materials are numerically calculated and three features of the signal are selected. Since PEC signals and features are obtained by various types and sizes of probe, the comparison is made through the normalized features which reflect the sensitivity of the feature to thickness reduction. The normalized features indicate that the shielded reflection probe provides the best sensitivity to wall thickness reduction for all three signal features. Results show that the best sensitivity to thickness reduction can be achieved by the peak value, but also suggest that the time to peak can be a good candidate because of its linear relationship with the thickness variation.

Mathematical analysis on thermal regeneration of ceramic monolith filter in diesel engine (CI기관에서 세라믹 모노리스 필터의 열재생에 관한 수학적 해석)

  • 강호인;조재명;한영출
    • Journal of the korean Society of Automotive Engineers
    • /
    • v.14 no.6
    • /
    • pp.60-66
    • /
    • 1992
  • This study describes a theoretical analysis for the wall temperature of ceramic filter trap and pressures of inlet and outlet channel in the filter trap. In this study, the maximum wall temperature through filter trap length with time during the regeneration period showed a tendency moving from forward to backward. The pressure change of filter trap increased at the initial combustion but decreased with the combustion to be activated. So the pressure difference between initial and end regeneration at the inlet channel showed about 2kPa. The thermal regeneration period of this filter trap in the theoretical analysis showed about 200seconds in which the wall temperature was similar to the case of initial condition and the pressure showed about 1 kPa.

  • PDF

Development of the Position Control Algorithm for Nonlinear Overhead Crane Systems (비선형 천장 크레인시스템의 위치제어 알고리즘 개발)

  • 이종규;이상룡
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.17 no.4
    • /
    • pp.142-147
    • /
    • 2000
  • An overhead crane system which transports an object by girder motion, trolley motion, and hoist motion becomes a nonlinear system because the length of a rope changes. To develope the position control algorithm for the nonlinear crane systems, we apply a nonlinear optimal control method which uses forward and backward difference methods and obtain optimal inputs. This method is suitable for the overhead crane system which is characterized by the differential equation of higher degree and swing motion. From the results of computer simulation, it is founded that the position of the overhead crane system is controlled, and the swing of the object is suppressed.

  • PDF