The Principles for Development and Visualization of Analytical Surfaces’ Objects and Perspectives for Their Using at Architecture and Building Constructions

Abstract

In 1960, the University of friendship of peoples was created by the Soviet government’s decision. In 1962 at the University’s faculty of engineering started the "Resistance of Materials, and Structural Analysis" chair. It was headed by doctor of engineering, professor Vladimir Germanovich Rekach. Simultaneously with the educational process at the chair was opened the postgraduate education in the field of study "Structural Mechanics". One of the main tasks set by V.G. Rekach before graduate students was developing of methods for calculating of shells for new complex forms. It was necessary to begin this work with the study of available in the scientific literature information on the considered class of surfaces, derivation of equations for the surfaces of considered forms, derivation of formulas for the quadratic forms’ coefficients, drawings for this class of surfaces and the concrete calculated construction. Currently, the work in this field of study at the “Resistance of Materials” chair (since 2006 the “Strength of Materials and Structures” chair) is carried out under the supervision of doctors of engineering, professors V.N. Ivanov and S.N. Krivoshapko – the disciples of V.G. Rekach. In 1990–2016 have been prepared and defended 12 dissertations on analysis of shells for surfaces with non-canonical forms. A large amount of material on surfaces geometry that has been accumulated at the RUDN University’s “Resistance of Materials” chair, and works variety in world literature has necessitated to systematize available materials, to create a reference manual on analytical surfaces. In 2006 has been published the 1st version of such reference manual. In 2011 has been published “Encyclopedia of Analytical Surfaces” [10]. This paper gives a short history of the encyclopedia creation, as well as its main tasks and principles of formation, the character of treatment for materials on surfaces classes and the concrete surfaces, and examples for classes and surfaces from encyclopedia. The possibilities for encyclopedia materials usage at architecture, building constructions, machine manufacturing and other areas of science and techniques are considered too.