Design and Manufacturing Analyses for Integrated CAD/CAM of Cams

1989 ◽  
Vol 111 (4) ◽  
pp. 307-314 ◽  
Author(s):  
Z. Gal-Tzur ◽  
M. Shpitalni ◽  
S. Malkin
Keyword(s):  
Thermal Damage ◽  
Spline Interpolation ◽  
Analytical Form ◽  
Design Stage ◽  
Cubic Spline Interpolation ◽  
Analytical Functions ◽  
Cnc Grinding ◽  
Design And Manufacturing ◽  
Cad Cam ◽  
Data Points

Design and manufacturing analyses are presented which are the basis for an integrated CAD/CAM system for cams. The design analysis begins with the lift schedule specified either by analytical functions or by discrete data points which are transformed to an analytical form by cubic spline interpolation. The required cam contour and its curvature at each point on the cam periphery are then derived. Machining of the required cam shape is analyzed for NC jig grinding, CNC grinding, and rocker grinding. For NC jig grinding only the geometrical aspects of the process are analyzed, but for CNC and rocker grinding both the geometrical and physical aspects of the process are considered for control of cam geometry and thermal damage. Integration of design and maufacturing tasks in this way allows for manufacturing characteristics and limitations to be taken into account in the design stage.

A cubic spline interpolation of unequally spaced data points

1984 ◽  
Vol 35 ◽  
pp. C-531-C-532
Author(s):  
J. Anderson ◽  
R.W.B. Ardill ◽  
K.J.M. Moriarty ◽  
R.C. Beckwith
Keyword(s):  
Spline Interpolation ◽  
Cubic Spline ◽  
Cubic Spline Interpolation ◽  
Unequally Spaced ◽  
Data Points

scholarly journals VLSI Architecture of Cubic SP line Interpolation on FPGA

2019 ◽  
Vol 8 (4) ◽  
pp. 4014-4017
Keyword(s):  
Spline Interpolation ◽  
Vlsi Architecture ◽  
Cubic Spline ◽  
Intrinsic Mode Functions ◽  
Cubic Spline Interpolation ◽  
Hilbert Huang Transform ◽  
Time Frequency ◽  
Data Points ◽  
Previous Proposal ◽  
Natural Cubic Spline

A novel time frequency analysis method was proposed by N.E.Huang known as Hilbert Huang Transform which, can be used for analyzing and processing real world signals. The Intrinsic Mode Functions (IMF) is the key part of this algorithm, in this part the empirically decomposed signal data points uses the cubic spline interpolation for connecting maximum and minimum points to connect lower and upper envelope of the processed signal. This paper presents the real time architecture for hardware implementation of natural cubic spline interpolation. The architecture of proposed cubic spline is using the properties of continuous cubic and linear polynomials. The experimental results showed that our proposed architecture gets better result than previous proposal implemented on Spartan 6 based FPGA board.

A cubic spline interpolation of unequally spaced data points

1979 ◽  
Vol 16 (2) ◽  
pp. 199-206 ◽  
Author(s):  
J. Anderson ◽  
R.W.B. Ardill ◽  
K.J.M. Moriarty ◽  
R.C. Beckwith
Keyword(s):  
Spline Interpolation ◽  
Cubic Spline ◽  
Cubic Spline Interpolation ◽  
Unequally Spaced ◽  
Data Points

Interpolation and extrapolation

2018 ◽  
Author(s):  
Joseph F. Boudreau ◽  
Eric S. Swanson
Keyword(s):  
Public Transportation ◽  
Spline Interpolation ◽  
Lattice Gauge Theory ◽  
Human Vision ◽  
Physical Sciences ◽  
One Dimensional ◽  
Lattice Gauge ◽  
Multidimensional Problems ◽  
Data Points ◽  
Lagrange Interpolating Polynomial

This chapter deals with two related problems occurring frequently in the physical sciences: first, the problem of estimating the value of a function from a limited number of data points; and second, the problem of calculating its value from a series approximation. Numerical methods for interpolating and extrapolating data are presented. The famous Lagrange interpolating polynomial is introduced and applied to one-dimensional and multidimensional problems. Cubic spline interpolation is introduced and an implementation in terms of Eigen classes is given. Several techniques for improving the convergence of Taylor series are discussed, including Shank’s transformation, Richardson extrapolation, and the use of Padé approximants. Conversion between representations with the quotient-difference algorithm is discussed. The exercises explore public transportation, human vision, the wine market, and SU(2) lattice gauge theory, among other topics.

Sign in / Sign up

Export Citation Format

Share Document