FEATURES OF MODELING OF ENERGY PORTRAIT OF CONSTRUCTION

Abstract

Presentation and realization of the task of rationalization of structural parameters of reinforced concrete shells is presented. As a criterion for this task an energy principle is adopted, according to which it is assumed that from the whole set of possible values of the desired parameters of the system with a constant volume of material, the number of external and internal connections, the potential energy of deformation (DER) after the perestroika will reach the lower limit on a rational combination of values of geometric parameters.

The energy principle is taken as a criterion for this task, according to which it is believed that out of numerous possible values of the searched parameters of the system with the constant amount of material, number of external and internal connections, the strain potential energy (SPE) after the reconstruction will reach the lower limit on the rational connection of the geometrical parameters describing the system, i.e.:

,          

where k – is the comparison variant number; α -  M, M – geometrical parameters tolerance range.

In this case, the approach realization presupposes the construction of interconnection between the system energy deformation value and one or group of the geometrical parameters. The suggested procedure allows automatic establishment of the connection between the system SPE and any geometrical parameters which describes it.

Autodesk software bunch was taken as an instrumentarium for the solution of the task set. The key role here belongs to the script recorded in the Dynamo visual programming, which allows automatic formation of the shell geometry through specifying all necessary parameters of {x}.

The determined interconnection of the rational parameters of the constructive anisotropic shell between SPE of the system of internal and external rational parameters: with ribs step value of about l ≈ 1000 mm SPE reaches the lower limit. The obtained results of the external parameters are verified through the analysis of the frequencies of the systems natural vibration frequencies for all values of rise Н and maximum shell bearing capacity (q_max). It was determined that for the conditions at the camber of arch Н ≈ 3,8 m SPE reaches the lower limit.

Keywords: stress-deformed state, mathematical modeling, rationalization of structural parameters, reinforced concrete anisotropic shell.