• Title/Summary/Keyword: spline function

Search Result 247, Processing Time 0.024 seconds

A study on programming Development Forming Design Automated of CAM for Spring using Car (자동차용 스프링 성형용 CAM의 성형설계자동화 프로그램 개발)

  • Park C.H.;Lee J.H.;Kim Y.H.
    • Proceedings of the Korean Society of Precision Engineering Conference
    • /
    • 2005.06a
    • /
    • pp.1353-1357
    • /
    • 2005
  • A CAM program for forming design Automated of CAM for Spring using car was developed in this study. This program was written in AUTO-LISP on the AUTO-CAD system with a personal. An approach to the system is based on the kinemateic of the object function. We make a determination of an cam programming. A cam spline is continuous in displacement, velocity and acceleration. The best cam curve is obtained by changing the kinemateic of the object function. The result has improved all characteristics such as velocity, acceleration and displacement compared with that of the modified cycloid curve.

  • PDF

Friction Model to Realize Self-Excited Vibration of Multi-body Systems (다물체계의 자려진동 구현을 위한 마찰 모델링)

  • Roh, Hyun-Young;Yoo, Hong-Hee
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 2007.05a
    • /
    • pp.103-108
    • /
    • 2007
  • This paper presents a friction model to realize self-excited vibration of multi-body systems. The friction coefficient is modeled with a spline function in most commercial codes. Even if such a function resolves the problem of discontinuity in friction force, it cannot realize self-excited vibration phenomena. Furthermore, as the relative velocity approaches zero, the friction coefficient approaches zero with the conventional model. So, slip occurs when small force is applied to the system. To avoid these problems a new friction model is proposed in this study. With the new friction model, the self-excited vibration can be realized since the friction coefficient changes with the relative velocity. Furthermore, the slip phenomena could be reduced significantly with the proposed model.

  • PDF

A study on real-time path planning and visual tracking of the micro mobile robot (소형 이동 로봇의 실시간 경로계획과 영상정보에 의한 추적제어)

  • 김은희;오준호
    • Proceedings of the Korean Society of Precision Engineering Conference
    • /
    • 1997.04a
    • /
    • pp.25-29
    • /
    • 1997
  • In this thesis, we construct the microrobot succor system and navigate the real-time path planning and visual tracking of each robot. The system consists robots, vision system and a host computer. Because the robots are free-ranging mobile robot, it is needed to make and gallow the path. The path is planned and controlled by a host computer, ie. Supervisory control system. In path planning, we suggest a cost function which consists of three terms. One is the smoothness of the path, another is the total distance or time, and the last one is to avoid obstacles. To minimize the cost function, we choose the parametric cubic spline and update the coefficients in real time. We perform the simulation for the path planing and obstacle avoidance and real experiment for visual tracking

  • PDF

A FRAMEWORK TO UNDERSTAND THE ASYMPTOTIC PROPERTIES OF KRIGING AND SPLINES

  • Furrer Eva M.;Nychka Douglas W.
    • Journal of the Korean Statistical Society
    • /
    • v.36 no.1
    • /
    • pp.57-76
    • /
    • 2007
  • Kriging is a nonparametric regression method used in geostatistics for estimating curves and surfaces for spatial data. It may come as a surprise that the Kriging estimator, normally derived as the best linear unbiased estimator, is also the solution of a particular variational problem. Thus, Kriging estimators can also be interpreted as generalized smoothing splines where the roughness penalty is determined by the covariance function of a spatial process. We build off the early work by Silverman (1982, 1984) and the analysis by Cox (1983, 1984), Messer (1991), Messer and Goldstein (1993) and others and develop an equivalent kernel interpretation of geostatistical estimators. Given this connection we show how a given covariance function influences the bias and variance of the Kriging estimate as well as the mean squared prediction error. Some specific asymptotic results are given in one dimension for Matern covariances that have as their limit cubic smoothing splines.

An Automatic Drafting of the Apparel Pattern for an Easy Order System - Drawing of Full Pleated Skirt Design and Development of a Curve Function - (Easy Order System을 위한 의류 패턴의 자동 제도 연구 -Full pleated skirt 디자인의 제도 및 곡선 함수 설계-)

  • 전은경;김혜경
    • Journal of the Korean Society of Clothing and Textiles
    • /
    • v.22 no.3
    • /
    • pp.303-311
    • /
    • 1998
  • We developed a pattern drafting computer program using a popular CAD program for the purpose of the automatic manufacturing and education based on the concept of the easy -order-system which can easily reflect body characteristics and design favors of individuals to the ready-made clothing. The programs were written in Auto LISP which can utilise most of frictions of the Auto CAD, and the result of the design for an full-pleated skirt was shown. Also, we devised an easy way to set the location of reference points by inputting of tangential angle only for the use of the cubic spline curve which can represent body shape very well. Finally, by marking down all of symbols needed in manufacturing process, we completed the automatic pattern drafting program to make it useful as an industrial pattern without any amendment or correction in cutting and sewing operation.

  • PDF

First-Order Shear Deformable Subdivision Shell Element Consistent with Loop-Subdivision Surface (루프 서브디비전 곡면의 1차 전단 변형 쉘 요소)

  • 김형길;조맹효
    • Proceedings of the Computational Structural Engineering Institute Conference
    • /
    • 2002.10a
    • /
    • pp.55-61
    • /
    • 2002
  • In the present study, a first order shear deformable Loop-subdivision triangular element which can handle transverse shear deformation of moderately thick shell and composite laminated or sandwich shells are developed. The developed element is more general than the previous one based on classical shell theory, since it includes the effect of transverse shell deformation and has standard five degrees of freedom per node. The quartic box spline function is employed as the interpolation basis function. Numerical examples for the benchmark static shell problems are analyzed to assess the performance of the developed subdivision shell element and locking trouble.

  • PDF

Application of multi objective genetic algorithm in ship hull optimization

  • Guha, Amitava;Falzaranoa, Jeffrey
    • Ocean Systems Engineering
    • /
    • v.5 no.2
    • /
    • pp.91-107
    • /
    • 2015
  • Ship hull optimization is categorized as a bound, multi variable, multi objective problem with nonlinear constraints. In such analysis, where the objective function representing the performance of the ship generally requires computationally involved hydrodynamic interaction evaluation methods, the objective functions are not smooth. Hence, the evolutionary techniques to attain the optimum hull forms is considered as the most practical strategy. In this study, a parametric ship hull form represented by B-Spline curves is optimized for multiple performance criteria using Genetic Algorithm. The methodology applied to automate the hull form generation, selection of optimization solvers and hydrodynamic parameter calculation for objective function and constraint definition are discussed here.

Application of Multivariate Adaptive Regression Spline-Assisted Objective Function on Optimization of Heat Transfer Rate Around a Cylinder

  • Dey, Prasenjit;Das, Ajoy K.
    • Nuclear Engineering and Technology
    • /
    • v.48 no.6
    • /
    • pp.1315-1320
    • /
    • 2016
  • The present study aims to predict the heat transfer characteristics around a square cylinder with different corner radii using multivariate adaptive regression splines (MARS). Further, the MARS-generated objective function is optimized by particle swarm optimization. The data for the prediction are taken from the recently published article by the present authors [P. Dey, A. Sarkar, A.K. Das, Development of GEP and ANN model to predict the unsteady forced convection over a cylinder, Neural Comput. Appl. (2015) 1-13]. Further, the MARS model is compared with artificial neural network and gene expression programming. It has been found that the MARS model is very efficient in predicting the heat transfer characteristics. It has also been found that MARS is more efficient than artificial neural network and gene expression programming in predicting the forced convection data, and also particle swarm optimization can efficiently optimize the heat transfer rate.

Friction Model to Realize Self-excited Vibration of Multi-body Systems (다물체계의 자려진동 구현을 위한 마찰 모델링)

  • Roh, Hyun-Young;Yoo, Hong-Hee
    • Transactions of the Korean Society for Noise and Vibration Engineering
    • /
    • v.17 no.6 s.123
    • /
    • pp.524-530
    • /
    • 2007
  • This paper presents a friction model to realize self-excited vibration of multi-body systems. The friction coefficient is modeled with a spline function in most commercial codes. Even if such a function resolves the problem of discontinuity in friction force, it cannot realize self-excited vibration phenomena. Furthermore, as the relative velocity approaches zero, the friction coefficient approaches zero with the conventional model. So, slip occurs when small force is applied to the system. To avoid these problems a new friction model is proposed in this study. With the new friction model, the self-excited vibration can be realized since the friction coefficient changes with the relative velocity. Furthermore, the slip phenomena could be reduced significantly with the proposed model.

Material distribution optimization of 2D heterogeneous cylinder under thermo-mechanical loading

  • Asgari, Masoud
    • Structural Engineering and Mechanics
    • /
    • v.53 no.4
    • /
    • pp.703-723
    • /
    • 2015
  • In this paper optimization of volume fraction distribution in a thick hollow cylinder with finite length made of two-dimensional functionally graded material (2D-FGM) and subjected to steady state thermal and mechanical loadings is considered. The finite element method with graded material properties within each element (graded finite elements) is used to model the structure. Volume fractions of constituent materials on a finite number of design points are taken as design variables and the volume fractions at any arbitrary point in the cylinder are obtained via cubic spline interpolation functions. The objective function selected as having the normalized effective stress equal to one at all points that leads to a uniform stress distribution in the structure. Genetic Algorithm jointed with interior penalty-function method for implementing constraints is effectively employed to find the global solution of the optimization problem. Obtained results indicates that by using the uniform distribution of normalized effective stress as objective function, considerably more efficient usage of materials can be achieved compared with the power law volume fraction distribution. Also considering uniform distribution of safety factor as design criteria instead of minimizing peak effective stress affects remarkably the optimum volume fractions.