Analysis and Synthesis of Mechanical Error in Geneva Mechanisms—A Stochastic Approach. Part 2: Internal Geneva Mechanism

1982 ◽  
Vol 104 (1) ◽  
pp. 72-77 ◽  
Author(s):  
S. S. Rao ◽  
S. S. Gavane
Keyword(s):  
Probability Theory ◽  
Nonlinear Programming ◽  
Stochastic Approach ◽  
Analysis Procedure ◽  
Numerical Examples ◽  
Kinematic Characteristics ◽  
Analysis And Synthesis ◽  
Programming Techniques ◽  
Synthesis Procedure

Because of error of manufacture and assembly, the output kinematic characteristics of a Geneva mechanism will be different from the desired ones. In this paper an analysis procedure is developed to find the error in acceleration and jerk of internal Geneva mechanisms from the viewpoint of probability theory. A synthesis procedure, using nonlinear programming techniques, of distributing tolerances and clearances in the mechanism for specified maximum allowable errors in acceleration and jerk is discussed. The application of analysis and synthesis procedures is demonstrated by means of numerical examples.

Analysis and Synthesis of Mechanical Error in Geneva Mechanisms—A Stochastic Approach. Part 1: External Geneva Mechanism

1982 ◽  
Vol 104 (1) ◽  
pp. 63-71 ◽  
Author(s):  
S. S. Rao ◽  
S. S. Gavane
Keyword(s):  
Probability Theory ◽  
Nonlinear Programming ◽  
Stochastic Approach ◽  
Analysis Procedure ◽  
View Point ◽  
Numerical Examples ◽  
Kinematic Characteristics ◽  
Analysis And Synthesis ◽  
Programming Techniques ◽  
Synthesis Procedure

Because of error of manufacture and assembly, the output kinematic characteristics of a Geneva mechanism will be different from the desired ones. In this paper an analysis procedure is developed to find the error in acceleration and jerk of external Geneva mechanisms from the view-point of probability theory. A synthesis procedure, using nonlinear programming techniques, of distributing tolerances and clearances in the mechanism for specified maximum allowable errors in acceleration and jerk is discussed. The application of analysis and synthesis procedures is demonstrated by means of numerical examples.

Analysis and Synthesis of Mechanical Error in Cam-Follower Systems

1982 ◽  
Vol 104 (1) ◽  
pp. 52-62 ◽  
Author(s):  
S. S. Rao ◽  
S. S. Gavane
Keyword(s):  
Nonlinear Programming ◽  
Dynamic Response ◽  
Confidence Level ◽  
Manufacturing Cost ◽  
System Parameters ◽  
Analysis And Synthesis ◽  
Cam Follower ◽  
Programming Techniques ◽  
Allowable Error ◽  
Synthesis Procedure

A method of evaluating the mechanical error in the kinematic and dynamic response of cam-follower systems is presented based on probability principles. The error is analyzed for the three-sigma band of confidence level. A synthesis procedure, using nonlinear programming techniques, of distributing tolerances on geometrical and other system parameters is discussed. The objective of the synthesis problem is to minimize a measure of the manufacturing cost for specified maximum allowable error in the kinematic or dynamic response of the cam-follower system. The application of analysis and synthesis procedures is demonstrated with reference to a disc cam with translating roller follower.

Error Analysis of Cam-Follower Systems: A Probabilistic Approach

1984 ◽  
Vol 198 (3) ◽  
pp. 155-162 ◽  
Author(s):  
S S Rao
Keyword(s):  
Error Analysis ◽  
Probabilistic Approach ◽  
Random Variables ◽  
Stochastic Approach ◽  
Geometrical Parameters ◽  
Manufacturing Costs ◽  
Actual Output ◽  
Analysis And Synthesis ◽  
Cam Follower ◽  
Synthesis Procedure

The actual output kinematic characteristics of a cam-follower system will be different from the theoretical (desired) ones due to errors in manufacture and assembly. A method of evaluating the mechanical error in the kinematic response of cam-follower systems is presented using a stochastic approach. The tolerances on cam profiles and other geometrical parameters are treated as random variables that influence the mechanical error. The equations necessary for the mechanical error analysis of a planar cam-follower system (disc cam with translating roller follower) are derived. The equations for a spatial cam-follower system (globoidal cam with oscillating cylindrical follower) are also given at the end. An optimal synthesis procedure is outlined for the allocation of tolerances so as to minimize the manufacturing costs while satisfying a constraint on the maximum mechanical error in the kinematic response of cam-follower systems. The application of analysis and synthesis procedure is demonstrated with reference to a disc cam with translating roller follower.

ANALYSIS AND SYNTHESIS OF RADIATION PATTERNS FROM CIRCULAR APERTURES

1960 ◽  
Vol 38 (1) ◽  
pp. 78-99 ◽  
Author(s):  
A. Ishimaru ◽  
G. Held
Keyword(s):  
Radiation Pattern ◽  
Traveling Wave ◽  
Design Method ◽  
Source Distribution ◽  
Circular Aperture ◽  
Narrow Beam ◽  
Wave Type ◽  
Numerical Examples ◽  
Analysis And Synthesis ◽  
Improved Design

Part I considers the problem of determining the source distribution over a circular aperture required to produce a prescribed radiation pattern. In particular, the problem of optimizing the narrow broadside pattern from a circular aperture is discussed in detail and an improved design method over Taylor's for line source is devised. Numerical examples are given.Part II deals with the analysis of the radiation pattern from a circular aperture from γ1 to γ2 with the traveling wave type source functions. Expressions suitable to the analysis and the synthesis are obtained and the narrow-beam and shaped-beam synthesis are discussed.

Acceleration Analysis of Platform-Type Manipulators

1996 ◽  
Author(s):  
Maher G. Mohamed
Keyword(s):  
Stewart Platform ◽  
Algebraic Manipulation ◽  
Analysis Procedure ◽  
Compact Form ◽  
Numerical Examples ◽  
Acceleration Field ◽  
Center Point ◽  
Planar Manipulators ◽  
Acceleration Analysis ◽  
Special Case

Abstract The screw algebra is used to efficiently derive expressions in compact form for both the angular accelerations of the moving links and the linear accelerations of points on the links of platform-type manipulators. The analysis employs the property that the acceleration state of the manipulator platform can be determined by considering the acceleration states of the links of only one — any one — of the manipulator legs. The obtained expressions provide an ease in symbolic and algebraic manipulation. The analysis is then extended to specify the acceleration center point of ithe nstantaneous motion of the manipulator platform. The acceleration center point is then used in expressing the distribution of the acceleration field of the platform instant motion which is important in manipulator synthesis. The special case of planar manipulators is studied and simpler expressions are derived. Numerical examples are presented for the analysis of a 3-DOF planar platform-type and of a 6-DOF spatial “Stewart Platform” manipulators to illustrate the analysis procedure.

Computerized Selection of Optimum Machining Conditions for a Job Requiring Multiple Operations

1978 ◽  
Vol 100 (3) ◽  
pp. 356-362 ◽  
Author(s):  
S. S. Rao ◽  
S. K. Hati
Keyword(s):  
Nonlinear Programming ◽  
Mathematical Programming ◽  
Machine Tools ◽  
Machining Conditions ◽  
Coupling Constraints ◽  
Programming Techniques ◽  
Mathematical Programming Problems ◽  
The Individual ◽  
The Cost ◽  
Selection Of

The problem of determining the optimum machining conditions for a job requiring multiple operations has been investigated. Three objectives, namely, the minimization of the cost of production per piece, the maximization of the production rate and, the maximization of the profit are considered in this work. In addition to the usual constraints that arise from the individual machine tools, some coupling constraints have been included in the formulation. The problems are formulated as standard mathematical programming problems, and nonlinear programming techniques are used to solve the problems.

SIXPAQ: A Comprehensive Software Package for Analysis and Synthesis of Six-Bar Dwell Linkages

1991 ◽  
Author(s):  
Max Antonio González-Palacios ◽  
Jorge Angeles
Keyword(s):  
Software Package ◽  
Input Output ◽  
Robust Algorithms ◽  
Interactive Analysis ◽  
Analysis And Synthesis ◽  
Synthesis Procedure ◽  
Linkage Synthesis

Abstract SIXPAQ is a software package that was created for the interactive analysis and synthesis of six-bar dwell linkages. The package is structured so that any six-bar dwell planar linkage can be designed by simply choosing a reduced number of parameters. Robust algorithms are introduced that allow an accurate and reliable construction of the two loci on which the linkage synthesis procedure is based. Input-output plots and animation are available within the package as visualization aids. The package allows the user to interact with the program to satisfy the dwell and geometry conditions. Animation is achieved using a powerful graphics workstation.

Analysis and Synthesis of Overconstrained Mechanism

1994 ◽  
Author(s):  
Constantinos Mavroidis ◽  
Bernard Roth
Keyword(s):  
Input Output ◽  
Systematic Method ◽  
Numerical Examples ◽  
Single Loop ◽  
Analysis And Synthesis ◽  
Overconstrained Mechanisms

Abstract This paper presents a new systematic method for dealing with overconstrained mechanisms, and describes how the method was used to discover new overconstrained mechanisms and correct errors in several previously published overconstraint conditions. With this one method we are able to verify all previously known overconstrained mechanisms. In addition, this method yields the input-output equations of any single-loop overconstrained mechanism. For all new and corrected overconstrained mechanisms, numerical examples of input-output curves are presented.

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