Improved Centerpoint Curve Generation Techniques for Four-Precision Position Synthesis Using the Complex Number Approach

1985 ◽  
Vol 107 (3) ◽  
pp. 370-376 ◽  
Author(s):  
T. R. Chase ◽  
A. G. Erdman ◽  
D. R. Riley
Keyword(s):  
Complex Number ◽  
Independent Parameter ◽  
Trial And Error ◽  
Sequential Order ◽  
Automatic Computation ◽  
Theory Result ◽  
Generate Solution ◽  
Position Synthesis

A method for predetermining the properties of a centerpoint curve of the Burmester curve pair which will result from an arbitrary set of four precision positions is introduced. The method is based on the discovery that the shape of any Burmester curve is dependent on the Grashof type of the associated compatibility linkage. Three improvements over the existing theory result. First, the exact range of the independent parameter which will generate solution dyads may be determined, eliminating the need to search for solutions on a trial-and-error basis. Second, the composition of the centerpoint curve may be predicted in advance, enabling improved plotting techniques. Third, the points comprising the centerpoint curve can be generated in their natural sequential order. These techniques may be readily programmed for automatic computation.

Geometric Characteristics of the Center-Point Curve Based on the Kinematics of the Compatibility Linkage

1992 ◽  
Author(s):  
J. A. Schaaf ◽  
J. A. Lammers
Keyword(s):  
Complex Number ◽  
Change Point ◽  
Double Point ◽  
Classification Scheme ◽  
Center Point ◽  
Degenerate Form ◽  
Point Curve ◽  
Position Synthesis ◽  
Point Form

Abstract In this paper we develop a method of characterizing the center-point curves for planar four-position synthesis. We predict the five characteristic shapes of the center-point curve using the kinematic classification of the compatibility linkage obtained from a complex number formulation for planar four-position synthesis. This classification scheme is more extensive than the conventional Grashof and non-Grashof classifications in that the separate classes of change point compatibility linkages are also included. A non-Grashof compatibility linkage generates a unicursal form of the center-point curve; a Grashof compatibility linkage generates a bicursal form; a single change point compatibility linkage generates a double point form; and a double or triple change point compatibility linkage generates a circular-degenerate or a hyperbolic-degenerate form.

Circuit Rectification for Four Precision Position Synthesis of Four-Bar and Watt Six-Bar Linkages

1992 ◽  
Author(s):  
John A. Mirth ◽  
Thomas R. Chase
Keyword(s):  
Complex Number ◽  
Sequential Analysis ◽  
Design Space ◽  
Circuit Defects ◽  
Position Synthesis

Abstract The circuit defect arises when a linkage can not be moved between all precision positions without disassembly. The synthesis of linkages by precision position methods is simplified by reducing the design space to include only those linkages that are free of the circuit defect. Solutions for four-bar and Watt six-bar mechanisms are developed here. Multiple circuits in the Watt six-bar chain arise from circuits within a four-bar chain of the linkage or from the limits of motion that are imposed on the entire linkage by the two four-bar subchains. The circuit defects that are introduced by these conditions are eliminated through the sequential analysis of the Burmester curves for four-position synthesis. The points on the Burmester curves where the circuit attributes change are found. The curve segments yielding mechanisms that exhibit the circuit defect are then eliminated from consideration. The process is numerical and based on the complex number formulation of Burmester theory.

Moving Pivot Specification for Three Precision Position Planar Linkage Synthesis

2008 ◽  
Author(s):  
John T. Wanner ◽  
Andrew E. Sherman ◽  
Benjamin J. Fisher ◽  
Thomas R. Chase
Keyword(s):  
Analytical Solution ◽  
Complex Number ◽  
Vehicle Suspension ◽  
Graphical Construction ◽  
Position Synthesis ◽  
Linkage Synthesis

An analytical solution to moving pivot specification of motion generating dyads at three precision positions is derived using the complex number formulation. This solution enables replicating the functionality of a well-known graphical construction for three position synthesis. It complements an existing complex number based solution for ground pivot specification. The solution is demonstrated by a practical example of designing a vehicle suspension linkage. The example also demonstrates how moving pivot specification can be applied to synthesize multiloop linkages.

A Complex Number Approach for Absolute Precision Position Synthesis for Three Precision Positions

1992 ◽  
Author(s):  
John A. Mirth
Keyword(s):  
Closed Form ◽  
Complex Number ◽  
Closed Form Solution ◽  
Form Solution ◽  
Path Generation ◽  
Motion Generation ◽  
The Absolute ◽  
Position Problem ◽  
Position Synthesis

Abstract Dyads can be synthesized by prescribing the precision point coordinates and the absolute planar orientations of one dyad vector at each of three precision positions. This differs from traditional complex number methods wherein the vector orientations are described relative to one another. Absolute precision position synthesis can be performed for both motion generation, and path generation with prescribed timing. The method presented uses vector loop equations and complex number notation to produce a closed form solution for the three absolute precision position problem. Absolute precision position synthesis is applicable to cases that require specific coupler geometries. The synthesis of flat-folding mechanisms is an example of one such application.

Trial and Error

1994 ◽  
Vol 12 (2) ◽  
pp. 160-167 ◽  
Author(s):  
Mark K. Briggs ◽  
Bruce A. Roundy ◽  
William W. Shaw
Keyword(s):  
Trial And Error

"It Was All Trial and Error"—The Perspective of Parents of Emerging Adults with Type 1 Diabetes during the Transition to Independence

Diabetes ◽  
2018 ◽  
Vol 67 (Supplement 1) ◽  
pp. 719-P
Author(s):  
ANASTASIA ALBANESE-O'NEILL ◽  
SARAH C. WESTEN ◽  
NICOLE T. THOMAS ◽  
MICHAEL J. HALLER ◽  
DESMOND SCHATZ
Keyword(s):  
Type 1 Diabetes ◽  
Emerging Adults ◽  
Trial And Error ◽  
Transition To Independence

CONTEXTUAL SUBTEXT INFORMATION OF A FOREIGN LANGUAGE TEXT: HERMENEUTIC APPROACH

2020 ◽  
Vol 2020 (30) ◽  
pp. 75-87
Author(s):  
Lidiya Derbenyova
Keyword(s):  
Foreign Language ◽  
Optimal Solution ◽  
Decision Making Process ◽  
Trial And Error ◽  
Transmission Of Information ◽  
Hermeneutic Approach ◽  
Trial And Error Method ◽  
Problems Of Translation ◽  
Error Method ◽  
Language Text

The article focuses on the problems of translation in the field of hermeneutics, understood as a methodology in the activity of an interpreter, the doctrine of the interpretation of texts, as a component of the transmission of information in a communicative aspect. The relevance of the study is caused by the special attention of modern linguistics to the under-researched issues of hermeneutics related to the problems of transmission of foreign language text semantics in translation. The process of translation in the aspect of hermeneutics is regarded as the optimum search and decision-making process, which corresponds to a specific set of functional criteria of translation, which can take many divergent forms. The translator carries out a number of specific translation activities: the choice of linguistic means and means of expression in the translation language, replacement and compensation of nonequivalent units. The search for the optimal solution itself is carried out using the “trial and error” method. The translator always acts as an interpreter. Within the boundaries of a individual utterance, it must be mentally reconstructed as conceptual situations, the mentally linguistic actions of the author, which are verbalized in this text.

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