Abstract
A methodology for computer modeling of the buckling process for shell structures, taking into account creep of the material, is presented in this work. A mathematical model of shell deformation, accounting for transverse shears, geometric nonlinearity and presence of stiffeners, is provided. The process of creep is modeled according to a linear theory based on the Boltzmann–Volterra heredity theory. The model is written in the form of the functional of full potential deformation energy. The calculation algorithm is based on the Ritz method and iteration method. Calculation results for several options of shallow shells of double curvature, square of base, made of plexiglass, are presented. Contour fixation—fixed pin joints; uniformly distributed load is directed along the normal to the surface. “Deflection–time” relations are plotted for different load magnitudes. Values of critical time of buckling as a result of creep deformation are found. Curves of critical load decline over time as a result of creep development are obtained.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
