Stress state analysis of an equal slope shell under uniformly distributed tangential load by different methods
Journal: Structural Mechanics of Engineering Constructions and Buildings (Vol.17, No. 1)Publication Date: 2021-04-03
Authors : Olga Aleshina; Vyacheslav Ivanov; David Cajamarca-Zuniga;
Page : 51-62
Keywords : thin shell theory; analytical method; momentless state; torse shell; surface of equal slope; finite element method; variational-difference method; SCAD Office computing system; Mathcad system;
Abstract
Nowadays there are various calculation methods for solving a wide range of problems in construction, hydrodynamics, thermal conductivity, aerospace research and many other areas of industry. Analytical methods that make up one class for solving problems, and numerical calculation methods that make up another class, including those implemented in computing complexes, are used for the design and construction of various thin-walled structures such as shells. Due to the fact that thin-walled spatial structures in the form of various shells are widely used in many areas of human activity it is useful to understand and know the capabilities of different calculation methods. Research works on the study of the stress-strain state of the torse shell of equal slope with an ellipse at the base are not widely available at the moment. For the first time the derivation of the differential equations of equilibrium of momentless theory of shells to determine the normal force Nu from the action of uniformly distributed load tangentially directed along rectilinear generatrixes to the middle surface of the torse of equal slope with a directrix ellipse is presented in this article. The parameters of the stress state of the studied torse are also obtained by the finite element method and the variational-difference method. The SCAD software based on the finite element method and the program SHELLVRM written on the basis of the variational-difference method are used. The numerical results of the parameters of the stress state of the studied torse are analyzed, and the advantages and disadvantages of the analytical method and two numerical calculation methods are determined.
Other Latest Articles
- Modeling and visualizing of the formation of a snub dodecahedron in the AutoCAD system
- Seismic stability of vibration-insulated turbine foundations depending on the frequency composition of seismic impact
- Calculated assessment of the impact of geometric deviations from the design on the parameters of mechanical safety of building metal structures within the framework of scientific and technical support for construction
- Geometrically nonlinear analysis of the stability of the stiffened plate taking into account the interaction of eigenforms of buckling
- The Possible Interaction of Mahanarayana Thaila with Inflammatory Mediators and Associated Blood Flow in Response to Photon Emission
Last modified: 2021-04-03 02:56:18