Solution of constructions on an elastic foundation was formulated as the contact problem [1], [2]. With such a formulation the stress and strain state is investigated at the contact of construction and foundation. Therefore, we can not evaluate the influence of elastic foundation dead weight for stress and strain distribution in the soil. The aim of this article is to solve this pressing problem, which allows to define in more precise way the stress and strain state in the system, and to evaluate not only the dead weight of the construction, but also the dead weight of foundation. The system “construction-substructure-foundation” is investigated as an interaction of separate bodies. Such a formulation allows to go over from solving contact problems to the solution of qualitatively new problems in which the distribution of stresses and strains in foundation along the depth is evaluated. Mathematical models in this article are realised by computer programme COSMOS/M. The stress-strain state is determined by describing the system “wall-substructure-foundation” of elements with different physical-mechanical indices.
Straipsnyje pateikiama akademiko Aleksandro Čyro (g. 1927 03 15 Merkinėje) mokslinės, kūrybinės ir pedagoginės veiklos apžvalga. A.Čyras 1950 m. baigė Kauno Vytauto Didžiojo universiteto Statybos fakultetą. 1954 ir 1965 metais apgynė technikos mokslų kandidato ir habilituoto daktaro disertacijas. Pirmosios Vilniuje aukštosios techniškosios mokyklos—Vilniaus inžinerinio statybos instituto (VISI)—įkūrimo 1969 metais iniciatorius. Pirmasis ir ilgametis VISI rektorius (1969–1990). Nuo 1985 metų—Lietuvos mokslų akademijos tikrasis narys. 1994 m. išrenkamas Lenkijos MA užsienio nariu. Pagrindinė mokslinių tyrimų kryptis—tampriųjų-plastinių sistemų optimizacijos teorija ir metodai, iš jų ir taikant matematinį programavimą. Vadovaujant prof. A.Čyrui Vilniuje periodiškai vyko optimizacijos ir patikimumo statybinėje mechanikoje problemų tarptautinės konferencijos. Skaitytos paskaitos JAV, Italijoje, Kanadoje, Vokietijoje ir kitose šalyse. Vadovaujant akademikui A.Čyrui 27 jo mokiniai apgynė mokslo kandidatų, o penketas—ir habilituotų mokslo daktarų disertacijas. Bibliografiniai duomenys: 8 monografijos (trys iš jų išleistos anglų kalba užsienyje), 4 vadovėliai, per 180 mokslinių straipsnių.
Moderniosios statybinės mechanikos mokslinės mokyklos pagrindėjas akademikas A.Čyras už nuopelnus Lietuvai 1996 metais apdovanotas Didžojo Lietuvos kunigaikščio Gedimino 3-ojo laipsnio ordinu.
Abstract. Up to now in many works a construction on elastic foundation was modelled by the Winkler's hypothesis. In this paper the flexible plate-foundation system is investigated as an interaction of separate elastic bodies, which lie on the contact surface. Such a problem formulation allowed to make more exact the stress and strain distribution in the construction and the contact surface, to estimate the dead weight of the foundation. The presented numerical examples are realised using computer programme COSMOS/M. The obtained results show evidently the expediency of the new method application in practice.
Up to now in many works a construction on elastic foundation was modelled by the Winkler's hypothesis. In this paper the flexible plate-foundation system is investigated as an interaction of separate elastic bodies, which lie on the contact surface. Such a problem formulation allowed to make more exact the stress and strain distribution in the construction and the contact surface, to estimate the dead weight of the foundation. The presented numerical examples are realised using computer programme COSMOS/M. The obtained results show evidently the expediency of the new method application in practice.
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