Methodological aspects of research into the stress-strain state of panel-frame vertical load-bearing systems

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.

Keywords

• plane problem of elasticity theory
• grid method
• finite element method
• multiconnected panel-frame systems
• frame analogy
• biharmonic equation
• difference analogs
• stress-strain state