• 제목/요약/키워드: Closed curve

검색결과 181건 처리시간 0.026초

푸리에 급수를 이용한 엔드밀링 절삭력 및 공구변형 표현 (Closed Form Expression of Cutting Forces and Tool Deflection in End Milling Using Fourier Series)

  • 류시형
    • 한국정밀공학회지
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    • 제23권9호
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    • pp.76-83
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    • 2006
  • Machining accuracy is closely related with tool deflection induced by cutting forces. In this research, cutting forces and tool deflection in end milling are expressed as a closed form of tool rotational angle and cutting conditions. The discrete cutting fores caused by periodic tool entry and exit are represented as a continuous function using the Fourier series expansion. Tool deflection is predicted by direct integration of the distributed loads on cutting edges. Cutting conditions, tool geometry, run-outs and the stiffness of tool clamping part are considered together far cutting forces and tool deflection estimation. Compared with numerical methods, the presented method has advantages in prediction time reduction and the effects of feeding and run-outs on cutting forces and tool deflection can be analyzed quantitatively. This research can be effectively used in real time machining error estimation and cutting condition selection for error minimization since the form accuracy is easily predicted from tool deflection curve.

폐쇄형 풍동 시험부내의 진동하는 익형 주위 유동에 대한 비정상 벽면효과 연구 (UNSTEADY WALL INTERFERENCE EFFECT ON FLOWS AROUND AN OSCILLATING AIRFOIL IN CLOSED TEST-SECTION WIND TUNNELS)

  • 강승희;권오준;홍승규
    • 한국전산유체공학회지
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    • 제10권2호
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    • pp.60-68
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    • 2005
  • For study on the unsteady wall interference effect, flows around a forced oscillating airfoil in closed test-section wind tunnels have been numerically investigated by solving compressible Navier-Stokes equations. The numerical scheme is based on a node-based finite-volume method with the Roe's flux-difference splitting and an implicit time-integration method coupled with dual time-step sub-iteration. The Spalart-Allmaras one-equation model is employed for the turbulence effect. The computed results of the oscillating airfoil having a thin wake showed that the lift curve slope is increased and the magnitude of hysteresis loop is reduced by the interference effects. Since the vortex around the airfoil is generated and convected downstream faster than the free-air condition, the phase of lift, drag and pitching moment coefficients was shifted. The pressure on the test section wall shows harmonic terms having the oscillating frequency contained in the wail effect.

스퍼어 기어의 밀폐단조에 관한 상계해석 (An upper bound analysis for closed-die forging of spur gear forms)

  • Park, J.C.;Hur, K.D.;Park, J.U.
    • 한국정밀공학회지
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    • 제11권4호
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    • pp.26-37
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    • 1994
  • A kinematically admissible velocity field for the numerical analysis of closed-die forging process of spur gear is proposed. The velocity field is divided into three regions of deformation. In the analysis, the involute curve is approximated to be straight line and the upper-bound method is used to calculate energy dissipation rate. A constant frictional frictional factor has been assumed on the contacting surfaces. The effects of root diameter, number of teeth, and friction factor are determined on the relative forging pressure. The frictionless relative pressure is independent of root diameter for the same number of teeth, but increases with the number of teeth on a given root diameter. In the presence of friction, the relative forging presure increasing root diameter at the start of forging, but decreases with increasing root diameter in the processing of forging.

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베벨기어 페쇄단조의 유한요소해석 (FEM Analysis of Closed-Die Forging of a Bevel Gear)

  • 박종진;이정환;이영선
    • 대한기계학회논문집A
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    • 제20권8호
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    • pp.2458-2467
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    • 1996
  • The rigid-plastic finite element analysis was performed for analysis of ofhot forging and cold sizing of a bevel gear. Two dimensional analysis was carried out to investigate the defect occurrence on vertical symmetric planes during hot forging and three dimensional analysis was to understand the filling behavior on horizontal planes during cold sizing. The involute curve of a tooth was approximated by a circle for convenience in the present analysis. In order to estimate the elastic deformation of the gear and dies during cold sizing, linear elastic finite element analysis was performed. Results of the analysis can be used to predict grain flows and strength distributions in the forged gear, and to design dies and an appropriate preform for the cold sizing.

HOLONOMY DISPLACEMENTS IN THE HOPF BUNDLES OVER $\mathcal{C}$Hn AND THE COMPLEX HEISENBERG GROUPS

  • Choi, Young-Gi;Lee, Kyung-Bai
    • 대한수학회지
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    • 제49권4호
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    • pp.733-743
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    • 2012
  • For the "Hopf bundle" $S^1{\rightarrow}S^{2n,1}{\rightarrow}\mathbb{C}H^n$, horizontal lifts of simple closed curves are studied. Let ${\gamma}$ be a piecewise smooth, simple closed curve on a complete totally geodesic surface $S$ in the base space. Then the holonomy displacement along ${\gamma}$ is given by $$V({\gamma})=e^{{\lambda}A({\gamma})i}$$ where $A({\gamma})$ is the area of the region on the surface $S$ surrounded by ${\gamma}$; ${\lambda}=1/2$ or 0 depending on whether $S$ is a complex submanifold or not. We also carry out a similar investigation for the complex Heisenberg group $\mathbb{R}{\rightarrow}\mathcal{H}^{2n+1}{\rightarrow}\mathbb{C}^n$.

Simple P-I diagram for structural components based on support rotation angle criteria

  • Kee, Jung Hun;Park, Jong Yil
    • Advances in concrete construction
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    • 제10권6호
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    • pp.509-514
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    • 2020
  • In the preliminary design phase of explosion-proof structures, the use of P-I diagram is useful. Based on the fact that the deformation criteria at failure or heavy damage is significantly larger than the yield deformation, a closed form solution of normalized P-I diagram is proposed using the complete plastic resistance curve. When actual sizes and material properties of RC structural component are considered, the complete plasticity assumption shows only a maximum error of 6% in terms of strain energy, and a maximum difference of 9% of the amount of explosives in CWSD. Thru comparison with four field test results, the same damage pattern was predicted in all four specimens.

원호필렛-인벌류트 스퍼어 기어의 밀폐단조에 관한 상계해석 (An Upper-Bound Analysis for Closed-Die Forging of the Involute Spur Gears with Circular Arc Fillet)

  • 최재찬;허관도;김창호;최영
    • 소성∙가공
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    • 제3권1호
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    • pp.97-109
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    • 1994
  • Closed-die forging of the spur gears with circular are fillet has been analyses by using the upper-bound method. A kinematically admissible velocity field has been developed, wherein, the tooth profile consists of the involute curve and the circular arc fillet. In the analysis, the deformation regions have been divided into eight zones. A constant frictional stress has been assumed on the contacting surfaces Utilizing the formulated velocity field, numerical calculations have been carried out to investigate the effects of various parameters, such as module, number of teeth, addendum modification coefficient and friction factor, on the relative forging pressure of spur gears. As the result of numerical calculations, the relative forging pressure does not change so much against the variation of module. On the other hand, the relative forging pressure increases at the final filling stage as the addendum modification coefficient increases.

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STT(Skid-to-Turn)미사일의 매개변수화 어파인 모델링 및 제어 (New Parametric Affine Modeling and Control for Skid-to-Turn Missiles)

  • 좌동경;최진영;김진호;송찬호
    • 제어로봇시스템학회논문지
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    • 제6권8호
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    • pp.727-731
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    • 2000
  • This paper presents a new practical autopilot design approach to acceleration control for tail-controlled STT(Skid-to-Turn) missiles. The approach is novel in that the proposed parametric affine missile model adopts acceleration as th controlled output and considers the couplings between the forces as well as the moments and control fin deflections. The aerodynamic coefficients in the proposed model are expressed in a closed form with fittable parameters over the whole operating range. The parameters are fitted from aerodynamic coefficient look-up tables by the function approximation technique which is based on the combination of local parametric models through curve fitting using the corresponding influence functions. In this paper in order to employ the results of parametric affine modeling in the autopilot controller design we derived a parametric affine missile model and designed a feedback linearizing controller for the obtained model. Stability analysis for the overall closed loop sys-tem is provided considering the uncertainties arising from approximation errors. the validity of the proposed modeling and control approach is demonstrated through simulations for an STT missile.

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특이점분포법의 표면적분항의 해석적 계산 (Analytical Evaluation of the Surface Integral in the Singularity Methods)

  • 서정천
    • 대한조선학회논문집
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    • 제29권1호
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    • pp.14-28
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    • 1992
  • 평면판 요소에 균일한 혹은 선형적인 세기를 갖는 쏘오스 또는 다이폴이 분포된 경우, Stokes 정리를 이용하여, 표면 특이점 분포방법에서 나타나는 표면 적분식을 선적분 형태로 변환할 수 있다. 더우기 판요소가 다각형인 경우, 유기 포텐시얼과 유기속도를 구하기 위한 이 선적분의 closed-forms을 유도하였다. 이들 적분식의 해석적 계산을 통해 계산시간을 단축하고 수치해의 정도를 향상시킬 수 있을 것이다. 몇개의 계산예를 통해 해석적 적분 계산이 수치적 적분보다 우수함을 알 수 있다.

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Signature 기법을 이용한 면의 특징 표현 및 분할 기법 (Surface Segmentation and Feature Description using the Signature Technique)

  • 이보형;한헌수
    • 전자공학회논문지S
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    • 제34S권12호
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    • pp.90-97
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    • 1997
  • This paper presents a new algorithm for surface segmentation and feature description. The algorithm extracts the signature of an edge image based on the signature technqique[12] in the first stage. If there exists a range in the angle axis where more than two signatures form a closed curve, we can conclude there is a surface inside the range. Using this feature of the signature, surfaces can be segmented. The surface features such as number of vertices, number of edges, and type of surfaces can also be extracted by finding the signatures of individual surfaces. This algorithm has distinguished advantages: it can easily recover the lost part occuring in the edge iage using the curve fitting method and it can extract surface features even when surfaces are rotated in 3-D space.

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