Graph-Analytic Modification of the Method of Upper Estimation (Method of Energetic Geometry)

Abstract:

Graph-analytic modification of the known method of upper estimation is presented here. This method gives possibility to get easily and quickly the result of graphic design of process and speed godograph (locus). The given modification allows realize graphic calculation of speeds and efforts of deformation through ratio l/h excluding design of speed godograph. This process does not only simplify and formalize all solutions but also gives possibility to optimize results and find defined parameters. Depending on the type of presented ratio l/h the given modification of this method attracts different kinds of graphic and analytic solutions. The results of calculation according to specific efforts coincide with known graph-analytic solution attained by the method of upper estimation with identical representation of the center of deformation. The usage of graphanalytic method in solution of energy expenses on the bases of geometric ratio allows find ways to the definition of conformity deformation processes applying to as forging as other fields of mechanics. The given method of defining energetic expenditure during the process of deformation gives the possibility of seeing interaction between some parts of deformed body, caused by selforganization of the process. Stating laws of self-organization of deforming processes is the necessary task of mechanic as a whole, mechanics of a solid deformed body and its appliances.

• Periodical: Key Engineering Materials (Volumes 291-292)
• Pages: 637-642
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.291-292.637
• Online since: August 2005
• Authors: A.A. Alexandrov, V.V. Evstifeev
• Keywords: Effort Destinity, Geometric Sense, Method of Lower Estimations, Method of Upper Estimations, Minimum Energy, Optimization

References

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[3] Alexandrov A.A. Graph-analytical modification of the method of upper estimation. Mechanics of deformed rigid body and forging, (Tula State Technical University, 2004), No 2, pp.51-59.