hybrid polymetallic structures, phase materials, distribution topology, specific densities and costs of phase materials, elastic modulus, limits of elasticity and strength, maximum permissible elastic deformations (first), onset of softening (second) and onset of local destruction (third), load-bearing capacity and flexibility of hybrid designs, relative material costs and relative costs of hybrid designs, reference designs

The problem of rational (optimal) design of high-rise or administrative and management structures with the active use of hybrid polymetallic standardized elements, created on the basis of various reliably developed technologies, is considered. The purpose of solving the problem is the selection and redistribution of materials, in which, with the provision of the required comfortable and safe conditions of existence, the economic indicators of the project being created will be significantly improved. Three differences in the deformability criterion of phase materials under conditions of specified types and fields of external loads, developed by the author, were used as guaranteed requirements for comfortable existence. The first criterion: "maximum permissible elastic state when none of the phase materials will deform beyond the elastic limit. The second criterion: "maximum permissible hardening deformations when phase materials do not pass into a softening state. The third criterion: "maximum permissible fracture strains when any of the phase materials will "locally"fail. The calculations take into account that a number of physical characteristics of materials in a wide range of technological processing rather stably retain their values and are used as data known in advance from the reference literature. These include the limits of elasticity and strength, Young’s moduli, specific densities and costs of phase materials. Such a low-sensitivity technological stability made it possible for all phase materials to use a uniform dependence in the form of a cubic parabola for approximating the deformation diagram of various metallic materials, the coefficients of which and the above three maximum permissible deformations are expressed in terms of stable characteristics - the limits of elasticity, strength and Young’s modulus. On the basis of the known kinematic and static hypotheses of the description of inelastic deformation of rod systems for all types of maximum permissible deformations, uniform systems of equations are obtained that allow for the given conditions of external action to determine the geometric parameters and the topological structure of the distribution of all phase materials over the structure. Traditional wind loads with a given law of variation along the vertical axis, given moments and forces on the upper vertical cut, and mass loads varying during topological redistributions are considered as external influences on the structure of a high-rise structure. The degree of improvement of the project is estimated based on the analysis of changes in the entered relative characteristics of bearing capacity, flexibility and cost of the project. For comparison, a reference design from a homogeneous material is used.

Nemirovskii Yuri Vladimirovich,

Dr. Sci. Phys. & Math., Professor, Leading Research Worker, S. Khristianovich Institute of Theoretical and Applied Mechanics of the Siberian Branch of the RAS, Novosibirsk, Russia, Novosibirsk state technical University, Novosibirsk, Russia.