Zhdanovа N.N. MODIFICATION OF APPROACH TO EXTREME PARAMETERS ASSESSMENT FOR LOAD STRATIFIED ELASTIC DEFORMATION OF SPHERICAL VESSEL
Zhdanovа Natalya Nikolaevna
Candidate of Physical and Mathematical Sciences, Associate Professor, Department of Higher and Applied Mathematics, Moscow State University of Communication Means, Volgograd Branch
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Bukhantseva St., 48, 400120 Volgograd, Russian Federation
Abstract. The article suggests the modified approach to solving the problem of spherical composite elasticity consisting of selectable number of layers, which allows estimate the correlation between parameters of the whole structure at the beginning of plastic flow.
With the advent of the powerful computer equipment the problem of search of axisymmetric spherical composite structure and construction intense the deformed condition of this design could be solved by means of full search of all design parameters. However, computer search of structure and creation of its intense deformed state encounters rather serious difficulties. It is known that a large number of the databases containing the fullest data on structure and properties (including mechanical, both thermal, and other properties) the most various materials from which it is possible to create new layered composites is developed in recent years. And also it is known that with increase in quantity of layers from which the preliminary structure of a composite can be designed, complexity of the numerical solution of a task about intense the deformed condition of a design grows at all in a geometrical progression, and is exponential, that the task passes into the category hardly solved for which it is established that the most high-speed modern computer performs such tasks for years.
In this work one of options of such creation of the decision on elastic deformation of a multilayered spherical composite which allows avoid long and bulky computer calculations for an assessment as a first approximation quantity of layers, parameters of loading, properties, the sizes, materials of layers both at elastic deformation of all design, and at the time of the beginning of a plastic current is offered.
Key words: coupling condition, boundary of layers, modification of sweep method, tridiagonal system of linear algebraic equations, beginning of plastic flow.
MODIFICATION OF APPROACH TO EXTREME PARAMETERS ASSESSMENT FOR LOAD STRATIFIED ELASTIC DEFORMATION OF SPHERICAL VESSEL by Zhdanovа N.N. is licensed under a Creative Commons Attribution 4.0 International License.
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