Abstract:
Competitive enhancement of the current state of the art is related to the creation of new technologies, construction of buildings and structures. Flat elements are constituents of many up-to-date designs operating in complex non-steady-state conditions. Creation of general and approximate equations of various types of flat elements oscillation based on the first one is a topical issue in the development of theoretical bases for the calculation of building structures and construction in general. Such problems cover the objectives of improving models of instable behavior of constructions, structures and their elements including materials of complex mechanical, rheological and other properties inherent in various building structures under the impact of various external factors, such as the action of complex non-steady-state efforts and loads: seismic, power , temperature and other.
The existing approximate theories for calculating the stress and strain state of structural elements and constructions such as plates are based on a number of well-known hypotheses and assumptions of a mechanical and geometric nature. The hypotheses introduced led to the derivation of the approximate oscillation equations which often differ from each other both by the coefficients of the derivatives of the desired functions and by the type of these equations, while, as a rule, the order of the equation did not exceed the fourth one.
