Abstract

Structural synthesis creates a structural scheme according to the given structural characteristics - the degree of abnormality of the structure S and the degree of its irrationality s. Structural scheme is created at the first stage of synthesis, containing only rotational kinematic pairs and corresponds to a given degree of abnormality, which is ensured by the ratio of structural units – plus monads, minus monads and null monads. At the second stage, the independence of structural characteristics makes it possible to bring the obtained scheme to a given degree of irrationality by downgrading the class of kinematic pairs. The proposed algorithm makes it possible to synthesize structural schemes of both normal structure and adaptive (with redundant motions), as well as indifferent (with redundant links). Monadic approach to structure research allows to formalize the structural features of the circuit and to create a knowledge base for automated design of structural circuits with given structural properties.

Highlights

  • The existing structural theories of synthesis are exclusively limited to layering of normal structure groups [1,2,3], the same L.V

  • Pp1 - the number of kinematic pairs of class 1; pp0 - the number of input links superimposed on the input elements and marked by an arrow; this should be simplified, leaving in the formula only kinematic pairs of the fifth class, and converting it to the following form p =(3n - S - p0)/2

  • To successfully solve the synthesis problem, it is necessary to increase the number of structural dependences due to formalization of structural features that are not included in the number of basic structural parameters, such as: the number of rigid and movable circuits, that can be internal and external; multiplicity of kinematic pairs; number of stationary pairs linking the elements with the rack, and so on

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Summary

Monads as structural units

The existing structural theories of synthesis are exclusively limited to layering of normal structure groups [1,2,3], the same L.V. To solve the problem of synthesis of any structures, including abnormal (non-Assur type) structures, it is necessary to distinguish elementary structural units, that, like molecules from atoms, comprise structural groups of different abnormalities For this purpose the abnormality degree formula [6]. Pp1 - the number of kinematic pairs of class 1 (point); pp0 - the number of input links superimposed on the input elements and marked by an arrow; this should be simplified, leaving in the formula only kinematic pairs of the fifth class, and converting it to the following form p =(3n - S - p0)/2 According to this formula, the simplest single element chain of normal structure S=0 will be a null monad, or an input element, more precisely, the element with one turning pair, on which an input link is superimposed The regular structure groups are formed by equal numbers of plus and minus monads, while abnormal structure chains are formed by combining unequal numbers of plus and minus monads

Formalization of structural features
Stages and algorithms of structural synthesis
I I Artobolevsky Theory of Mechanisms and Machines
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