МАТЕМАТИЧЕСКАЯ МОДЕЛЬ БАЗОВЫХ КОНЕЧНЫХ ЭЛЕМЕНТОВ В КОНЕЧНО-ЭЛЕМЕНТНОЙ ТЕОРИИ ПОРТОВЫХ ПОДЪЕМНЫХ СООРУЖЕНИЙ

Abstract

The problem of computational analysis of the seismic safety of lifting cranes specified by the regulatory systems (FPP "Safety Rules for dangerous production facilities using Lifting mechanisms" for standard industrial application cranes; Regulation 31.1.02-2004 "Technical operation rules for carrying and lifting equipment in the sea merchant harbors" for harbor cranes; Code of Design-031-01 "Codes of Design of antiseismic atomic power stations" and Code of Design-043-11 "Rules of Design and safe operating hoisting cranes for objects of use of atomic energy" for cranes used at the nuclear facilities) is currently under discussion, despite the emphasis on the part of scientific community. All this has led to carrying out the research which presented a vision of the problems of designing cranes in earthquake-proof design as a finite element theory of structures, and on the basis of methods of the theory of seismic stability of structures - the linear spectral method, according to the Code 14.13330.2014 "Building in earthquake areas" and the method of dynamic analysis, according to Guidelines 1.5.2.05.999.0025-2011 "Calculation and design of earthquake resistant nuclear power plants". The article highlights the trend of recent years of the increasing complexity of calculated finite element models of structures, often combining both finite element models of buildings and supporting structures, and cranes. A computational analysis of such constructions leads to a combination in the design model of finite elements of different dimensions. The article points out that both the choice of the type of finite elements and the way they are connected together within the framework of one calculation model directly affect the reliability of the results obtained. Based on the practical experience of computational analysis of complex spatial engineering structures, the article proposes stiffness and mass matrices for one-, two- and three-dimensional basic finite elements for calculating port lifting structures.