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Direct integration of the equations of motion in the researches of cylindrical mesh roofs

Abstract

Direct integration of the equations of motion in the researches of cylindrical mesh roofs

Siyanov A.I., Yaroshevich D.K.

Incoming article date: 03.12.2022

The article considers the method of applying dynamic effects on cylindrical mesh roofs. The necessity of taking into account oscillatory processes from operating devices and in case of mechanical failure of the attached equipment is justified. The features of the construction of structures and the location of static loads are taken into account. A specific numerical example is given in the framework of application software application. A rational grid shape with a diagonal element in the middle is adopted and acceptable ratios of geometric parameters are obtained. The defining mathematical dependencies are indicated and the dynamic load modeling process is shown. Direct integration of the equations of motion is carried out. The regularities of the influence of oscillatory processes on the operation of the roof are revealed and a visual visualization of the results is obtained. Extreme values of force factors and parameters of deformation of the structure at a given time interval are recorded.

Keywords: cylindrical mesh roof, direct integration of equations of motion, dynamic impact, force factor, deformation parameter