Cam Motion Synthesis Using Spline Functions: Part I — Basic Theory and Elementary Applications

1987 ◽  
Author(s):  
D. M. Tsay ◽  
C. O. Huey
Keyword(s):  
Basic Theory ◽  
Spline Functions ◽  
Motion Synthesis ◽  
Automated Method ◽  
Motion Characteristics ◽  
General Synthesis

Abstract The application of spline functions to the general synthesis of cam motion programs is presented. The approach provides a single, systematic, easily automated method of accommodating discrete constraints on follower displacements, velocities, and accelerations, even when the set of constraints becomes large. It also allows the designer to develop refined motion characteristics while still satisfying the discrete constraints. A series of examples is presented to illustrate application of the method and to compare it to the more traditional techniques.

Cam Motion Synthesis Using Spline Functions

1988 ◽  
Vol 110 (2) ◽  
pp. 161-165 ◽  
Author(s):  
D. M. Tsay ◽  
C. O. Huey
Keyword(s):  
Spline Functions ◽  
Motion Synthesis ◽  
Traditional Methods ◽  
Automated Method ◽  
General Synthesis

The application of spline functions to the general synthesis of cam motion programs is presented. The approach provides a single, systematic, easily automated method of accommodating discrete constraints on follower displacements, velocities, and accelerations, even when the set of constraints becomes large. Yet, it is as easily applied in simple cases as are the more traditional methods of syntheses. It also allows the designer to refine the motion program by locally influencing characteristics of the motion while still satisfying the discrete constraints. A series of examples is presented to illustrate application of the method and to compare it to the more traditional techniques.

Spline Functions: Basic Theory.

1982 ◽  
Vol 38 (158) ◽  
pp. 652
Author(s):  
P. W. Smith ◽  
Larry Schumaker
Keyword(s):  
Basic Theory ◽  
Spline Functions

Cam Motion Synthesis Using Spline Functions: Part II — Applications

1987 ◽  
Author(s):  
D. M. Tsay ◽  
C. O. Huey
Keyword(s):  
User Interaction ◽  
Spline Functions ◽  
Spline Method ◽  
Motion Synthesis ◽  
Kinematic Constraints ◽  
B Spline ◽  
Synthesis Technique

Abstract A series of examples is presented to illustrate the application of B-spline functions in cam motion synthesis. The use of spline functions affords a systematic, easily automated approach to the development of cam motion programs. It permits sufficient user interaction to allow refined motion programs to be obtained. It is applicable when the motion requirements can be stated as a set of discretely defined kinematic constraints. The examples indicate the versatility of the spline method by showing how it can be used for both routing and demanding cases and for an array of tasks that ordinarily cannot be accomplished by single motion synthesis technique.

Cam Motion Synthesis Using Cubic Splines

1991 ◽  
Author(s):  
Kooyoung Yoon ◽  
S. S. Rao
Keyword(s):  
General Procedure ◽  
Cubic Splines ◽  
Spline Functions ◽  
Minimum Norm ◽  
Peak Acceleration ◽  
Minimum Potential Energy ◽  
Cam Follower ◽  
Minimum Potential ◽  
General Synthesis ◽  
Norm Principle

Abstract The application of minimum norm principle, similar to the principle of minimum potential energy, is presented for the general synthesis of cam motion. The approach involves the use of piecewise cubic spline functions for representing the follower displacement. The cubic splines are more convenient and simpler to use compared to general spline functions and also result in smaller peak acceleration and jerk due to the application of the minimum norm principle. A general procedure is presented for application to any cam-follower system. The effectiveness of the approach is illustrated by comparing the results given by the present method with those given by other approaches for a disk cam-translating follower.

SPLINE FUNCTIONS: Basic Theory

1982 ◽  
Vol 14 (2) ◽  
pp. 175-175 ◽  
Author(s):  
R. F. Churchhouse
Keyword(s):  
Basic Theory ◽  
Spline Functions

Cam Motion Synthesis Using Cubic Splines

1993 ◽  
Vol 115 (3) ◽  
pp. 441-446 ◽  
Author(s):  
K. Yoon ◽  
S. S. Rao
Keyword(s):  
General Procedure ◽  
Cubic Splines ◽  
Spline Functions ◽  
Minimum Norm ◽  
Peak Acceleration ◽  
Minimum Potential Energy ◽  
Cam Follower ◽  
Minimum Potential ◽  
General Synthesis ◽  
Norm Principle

The application of minimum norm principle, similar to the principle of minimum potential energy, is presented for the general synthesis of cam motion. The approach involves the use of piecewise cubic spline functions for representing the follower displacement. The cubic splines are more convenient and simpler to use compared to general spline functions and also result in smaller peak acceleration and jerk due to the application of the minimum norm principle. A general procedure is presented for application to any cam-follower system. The effectiveness of the approach is illustrated by comparing the results given by the present method with those given by other approaches for a disk cam-translating follower.

Computer Indexing of Electron Diffraction Patterns Including the Effects of Lattice Symmetry

1977 ◽  
Vol 35 ◽  
pp. 22-23
Author(s):  
J. S. Lally ◽  
R. J. Lee
Keyword(s):  
Electron Diffraction ◽  
Zone Axis ◽  
Crystal Thickness ◽  
Double Diffraction ◽  
Automated Method ◽  
Lattice Symmetry ◽  
Intensity Calculations ◽  
Unknown Structure ◽  
Diffraction Patterns ◽  
Orientation Parameters

In the 50 year period since the discovery of electron diffraction from crystals there has been much theoretical effort devoted to the calculation of diffracted intensities as a function of crystal thickness, orientation, and structure. However, in many applications of electron diffraction what is required is a simple identification of an unknown structure when some of the shape and orientation parameters required for intensity calculations are not known. In these circumstances an automated method is needed to solve diffraction patterns obtained near crystal zone axis directions that includes the effects of systematic absences of reflections due to lattice symmetry effects and additional reflections due to double diffraction processes.Two programs have been developed to enable relatively inexperienced microscopists to identify unknown crystals from diffraction patterns. Before indexing any given electron diffraction pattern, a set of possible crystal structures must be selected for comparison against the unknown.

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