Abstract
The dynamic stability problem of an anisotropic fiber-reinforced plate under increasing compressing load is considered in a geometrically nonlinear formulation using the Kirchhoff-Love’s shell theory. The problem is solved using the Bubnov-Galerkin method based on a polynomial approximation of the deflections in combination with a numerical method based on quadrature formulas. For a wide range of variations of physical, mechanical, and geometrical parameters, the dynamic behavior of the plate is studied.
Highlights
During the intense development of the modern industry, a reduction in the materials consumption of machine structures is one of the main problems of mechanical and civil engineering
The greater the critical time, the more stable it is to dynamic loads
The results show that an increase in plate rigidity due to an increase in plate thickness leads to a proportional increase in the critical time value
Summary
During the intense development of the modern industry, a reduction in the materials consumption of machine structures is one of the main problems of mechanical and civil engineering. The thinner the element, and the more flexible it is, the more strongly its susceptibility to buckling and loss of stability is manifested. The latter is accompanied by a catastrophic development of deformations and, as a rule, by a structural failure. From this standpoint, in the production of lightweight, durable and reliable structures, it is reasonable to use the materials that make it possible to improve their operating characteristics and to create the structures unfeasible with traditional materials. The problems with a similar mathematical formulation were considered in [1-12]
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