Refined model of stress-strain state of the reinforced shell
Keywords:
Theory of elasticity, Lagrange variational principle, Reinforced shell, Transverse normal stressesAbstract
The article presents an option to improve accuracy in determining the stress-strain state of ribbed thin shells. The displacements of the shell are decomposed into higher order polynomials than the classical Kirchhoff – Love theory. Based on the relations of the theory of elasticity and the Lagrange variational principle, a refined mathematical model of reinforced shells is constructed. The mathematical model includes the equations of equilibrium in displacements and the corresponding boundary conditions. The influence of the types of load, parameters of the ribs on the stress state of the shell have been investigated. A comparison between the results of the calculation of the stress state of the shell according to the classical and refined theories is given. The calculation results show that in the region of the joint, the transverse normal stresses are in the same order as the main stresses.
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