Abstract
Aim . To analyse the possibilities of various computational methods (primarily numerical) in terms of investigating the stress-strain state of complex multi-dimensional vertical loadbearing systems. Methods . The fundamental essence of the finite-difference method (grids) and the finite element method is revealed, their advantages and disadvantages are described in terms of solving the plane problem of elasticity theory, in particular, in calculating the stress-strain state of panelframe structures united in a single vertical multi-connected system. Results . The obtained results can be used to optimize the methodology of theoretical stress-strain state analysis of complex multiconnected systems, taking into account available computer equipment and licensed software packages for automated calculation of building structures. Conclusion . The conducted analysis shows that, provided there is a sufficiently powerful computer, the finite element method is the most versatile and effective method. This method was the basis of a large number of software packages permitting analysis of the stress-strain state of any designs characterized by the complexity of form, topology, load, etc.
Highlights
The obtained results can be used to optimize the methodology of theoretical stress-strain state analysis of complex multiconnected systems, taking into account available computer equipment and licensed software packages for automated calculation of building structures
В связи с быстро возрастающими в последние годы возможностями вычислительной техники, напряженное состояние балок-стенок, опертых на рамы и работающих в составе многопроёмных стеновых конструкций, предпочтительнее исследовать с помощью автоматизированных расчетных комплексов с использованием метода конечных элементов, если технические характеристики наличных ЭВМ позволяют решать полученную в результате математического моделирования систему линейных алгебраических уравнений высокого порядка
Summary
The obtained results can be used to optimize the methodology of theoretical stress-strain state analysis of complex multiconnected systems, taking into account available computer equipment and licensed software packages for automated calculation of building structures. При решении первой краевой задачи, когда требуется определить напряженное состояние пластинки по заданным усилиям на контуре, необходимо составить уравнение типа (2) для каждого внутреннего узла области (например, пластинки) и решить полученную систему уравнений. При решении третьей (смешанной) краевой задачи, когда требуется определить напряженное состояние пластины по условиям на контуре, заданным частично в напряжениях и частично в перемещениях, также может быть использован метод сеток.
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