COMPENSATION FOR THE BACKLASH AND ALIGNMENT ERRORS IN A NUMERICALLY CONTROLLED MACHINE TOOL BY A DIGITAL COMPUTER PROGRAMME

Author(s):  
D. FRENCH ◽  
S.H. HUMPHRIES
1965 ◽  
Vol 5 (41) ◽  
pp. 567-587 ◽  
Author(s):  
J. F. Nye

AbstractThe theory developed in previous papers to represent the response of a glacier to changes in the rate of accumulation and ablation has been used for a number of applications. A method of integrating the differential equations for a fixed frequency was programmed for a high-speed digital computer. This provides a better way of finding the frequency response than the earlier method which used series approximations or high and low frequencies. Results are given for (a) an artificial glacier showing varying amounts of diffusion of the kinematic waves, (b) South Cascade Glacier, Washington, U.S.A., as a check on previous results, and (c) Storglaciären, Kebrekaise, Sweden. The response curves of Storglaciären are very similar in shape In those of South Cascade Glacier but, since. Storglaciären moves more slowly, the curves are shifted in frequency (by a factor of two). The phase of the response at the terminus of Storglaciären plotted against frequency shows a double peak.Certain mathematical results for the artificial case of no diffusion are given in an Appendix.A computer programme was also written for calculatingλandμcoefficients and applied to South Cascade Glacier and Storglaciären.


1960 ◽  
Vol 13 (2) ◽  
pp. 278 ◽  
Author(s):  
AK Head

A digital computer programme for finding the equilibrium positions of a group of dislocations is applied to two problems of a different type from those considered previously. These are:


Sensors ◽  
2020 ◽  
Vol 20 (20) ◽  
pp. 5916
Author(s):  
Hyungjin Jeong ◽  
Jiwon Yu ◽  
Donghun Lee

This paper describes a method for calibrating in-plane center alignment error (IPCA) that occurs when installing the circular motion slide (CMS). In this study, by combini ng the moving carriage of the CMS and the planar PKM (parallel kinematic mechanism) with the machine tool, the small workspace of the PKM is expanded, and the workpiece is placed on the table with the CMS installed is processed through the machine tool. However, to rigidly mount the CMS on the table, the preload between the guide and the support bearings must be adjusted with the eccentric bearing, and in this process, the IPCA occurs. After installing a reflective marker on the PKM, the PKM is slowly rotated along with the ring guide in the way of stop-and-go without the PKM’s own motion. Then, using a machine vision camera installed at the top of the CMS, the IPCA, which is the difference between the actual center position and the nominal center position of the CMS with respect to the camera, can be successfully calibrated through the circular fitting process. Consequently, it was confirmed that the IPCA of 0.37 mm can be successfully identified with the proposed method.


1972 ◽  
Vol 186 (1) ◽  
pp. 595-602
Author(s):  
P. McAree

A number of authors, e.g. Peck (1)† and Wood and Marlow (2), have recently presented papers considering, in detail, specific phases in the design of centrifugal pumps. This paper, which is intended to be complementary to those papers, presents an analytical method for planning a range of centrifugal pumps based on a cost analysis of the models in the range. The method, which seeks to determine the number, size and spacing of the models to cover the specified, continuous range of duties, is based on adequate performance of each of the models in the range at minimum production cost for the total number of units to be produced. To show that meaningful results can be obtained by using this method, a numerical example is presented. The method is applied to the planning of a range of centrifugal pumps in which each model operates at constant rotational speed with constant impeller diameter. The Fortran IV digital computer programme used in the solution of this example is included.


1965 ◽  
Vol 5 (41) ◽  
pp. 567-587 ◽  
Author(s):  
J. F. Nye

AbstractThe theory developed in previous papers to represent the response of a glacier to changes in the rate of accumulation and ablation has been used for a number of applications. A method of integrating the differential equations for a fixed frequency was programmed for a high-speed digital computer. This provides a better way of finding the frequency response than the earlier method which used series approximations or high and low frequencies. Results are given for (a) an artificial glacier showing varying amounts of diffusion of the kinematic waves, (b) South Cascade Glacier, Washington, U.S.A., as a check on previous results, and (c) Storglaciären, Kebrekaise, Sweden. The response curves of Storglaciären are very similar in shape In those of South Cascade Glacier but, since. Storglaciären moves more slowly, the curves are shifted in frequency (by a factor of two). The phase of the response at the terminus of Storglaciären plotted against frequency shows a double peak.Certain mathematical results for the artificial case of no diffusion are given in an Appendix.A computer programme was also written for calculating λ and μ coefficients and applied to South Cascade Glacier and Storglaciären.


Author(s):  
R.A. Ploc ◽  
G.H. Keech

An unambiguous analysis of transmission electron diffraction effects requires two samplings of the reciprocal lattice (RL). However, extracting definitive information from the patterns is difficult even for a general orthorhombic case. The usual procedure has been to deduce the approximate variables controlling the formation of the patterns from qualitative observations. Our present purpose is to illustrate two applications of a computer programme written for the analysis of transmission, selected area diffraction (SAD) patterns; the studies of RL spot shapes and epitaxy.When a specimen contains fine structure the RL spots become complex shapes with extensions in one or more directions. If the number and directions of these extensions can be estimated from an SAD pattern the exact spot shape can be determined by a series of refinements of the computer input data.


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