# Kyiv school of the theory of structures

## DOI:

https://doi.org/10.32347/2410-2547.2020.104.3-88## Keywords:

bar systems, stability, shells, structural mechanics, finite difference method, finite element method, calculation model## Abstract

The paper presents a review of more than a century-long history of Kyiv school of the theory of structure, the foundation of which was laid by world-famous scientists V.L. Kirpichov and S.P. Tymoshenko. The birth of the Kyiv scientific school of the Theory of structures is associated in this paper with the establishment at the Kyiv Polytechnic Institute the Strength of Materials Department. It is noted that further formation and development of the theory of structures was facilitated by the creation in 1918 of the Ukrainian Academy of Sciences, the Institute of Mechanics of the NAS of Ukraine, expansion of relevant research in higher education institutions, creation of new academic and sectoral research institutions, most of which is located in Kyiv. The contribution of Kiev scientists to the development of methods for analyzing spatial structures of bar and shell type, their inelastic behavior, as well as dynamics and stability is reflected.

Particular attention is paid to the fundamentally new opportunities for the development of the theory of structures in the era of numerical analysis. The successes of Kiev mechanics in the field of development and improvement of structure analysis numerical methods, such as the finite difference method and various modifications of finite element methods, are emphasized. Kiev engineers and scientists are also known for their developments in the field of design and calculation of modern cable-stayed structures, as well as optimal design. The activities of the scientific school of structural mechanics of the Kyiv National University of Construction and Architecture are also covered in the review.

In the final part of the paper the new issues connected with the justification of calculation models and the analysis of reliability of constructions are considered. Some of this problems are dictated by the demands of practice, in particular those that arosed in the process of Chernobyl New Safe Confinement designing.

The publication contains a wide bibliography.

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Goncharenko V.M. To the determination of the probability of shell stability loss [in Russian] Bulletin of the USSR Academy of Sciences. Mechanics and Mechanical Engineering, 1962, No. 1. – P. 157-158.

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Gorbunov B.N. Calculation of spatial frames from thin-walled bars [in Russian] Applied Mathematics and Mechanics, 1943. Volume 7. No.1.

Gorbunov B.N. Calculation of the overall stability of special through beams. The collection devoted to the seventy-fifth anniversary of the birth and fifty years of scientific activity of Evgeny Oskarovich Paton [in Russian]. – K.: AN UkrSSR, 1946. – P. 369-376.

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Gorbunov B.N., Krotov Yu.V. The basics of the calculation of spatial frames [in Russian]. – M.: ONTI, 1936. – 140 p.

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Gordeiev V.N. Search for Close-to-Optimal Structures Set // Spatial Structures: Heritage, Present and Future. Proceeding of the IASS International Symposium, June 5-9, 1995. Milano, Italia, Vol.1. – Р. 47-54. SG Editoriali, Padova.

Gordeiev V.N., Dzhur Yu., Shimanovsky A.Determining disadvantageous combinations of loads in analysis of linearly deformable systems // International Symposium on Theory, Design and Realization of Shell and Spatial Structures, October 9-13, 2001, Nagoya, Japan.-international Association for Shell and Spatial Structures, Architectural Institute of Japan, – P. 38-39.

Gordeiev V.N., Grinberg M.L. The choice of optimal parameters of structural coatings [in Russian]. Structural Mechanics and Analysis of Constructions, 1977, No. 3. – P. 12-18.

Gordeiev V., Shymanovska M. Analysis of spatial nets allowing for slippery ropes // Proceedings of the International Symposium on Shell and Spatial Structures, – Bucharest, Poiana Brasov (Romania), 2005, Vol 1. – Р. 161-168.

Gordeiev V.H., Dinkevich P.Z., Perelmuter A.V. On the use of a complex basic system [in Russian]. Structural Mechanics and Analysis of Constructions, 1975, No. 3. – P. 63-65.

Gordeiev V.M. Equations for the calculation of tissue shells [Ukrainian]. Prikladna Mekhanika, 1962, v.8, №6. – P. 613-618.

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Gordeiev V.M., Perelmuter A.V. Equation of the force method for the calculation of cable-rod systems. Strength of Materials and Theory of Structures [in Ukrainian]. No. IV – Kyiv, Budivelnyk, 1966. – P. 113-126.

Gordeiev V.N. An algorithm for calculating systems with one-way redundant connections // The use of electronic computers in structural mechanics [in Russian], Naukova Dumka, – Kyiv, 1968.

Gordeiev V.N. Calculation of tensile roofs for some types of loads. Theory of plates and shells. Proceedings of the 2nd All-Union Conference on the Theory of Shells and Plates. [in Russian]. – K.: Publishing House of the Academy of Sciences of the Ukrainian SSR, 1962.

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Gordeiev V.N. The study of many similar structures with parameters close to optimal [in Russian]. Series VII, Design of metal structures. No.8 (55) .– M.: TSNIPIASS, 1974. – P. 12-15.

Gordeiev V.N., Artemenko V.V., Minkovich E.I. The selection of adverse combinations of loads as a solution to the problem of multicriteria optimization. Computational methods for calculating and optimizing building structures. [in Russian]. – M.: TSNIISK im. Kucherenko, 1989. – P. 26-32.

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Gordeiev V.N., Iliev K.N., Perelmuter A.V., Pritsker A.Ya. The study of the joint work of a flat membrane flooring and a flexible side element. Structural Mechanics and Analysis of Constructions, 1972, No. 3. – P. 50-54.

Gordeiev V.N., Mikitarenko M.A., Perelmuter A.V. On the calculation of a spiral multilayer pressure vessel in the elastic-plastic stage. [in Russian]. Problems of Strength, 1979, No. 7. – P. 99-104.

Gordeiev V.N., Minkovich E.I. Construction of a system of finite elements with extreme properties [in Russian]. Computational methods for solving problems of structural mechanics. – K.: KISI, 1978. – P. 16-20.

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