Vibrations of Reinforced Cylindrical Shells with Initial Deflections under Nonstationary Loads

The paper addresses dynamic problems for discretely reinforced shells with initial deflections. Timoshenko theory is used. A numerical method of solving such problems is developed and theoretically justified. Numerical results for a specific problem are presented__________Translated from Prikladnaya Mekhanika, Vol. 41, No. 1, pp. 60–68, January 2005.     

Analysis of the nonaxisymmetric vibrations of flexible ellipsoidal shells discretely reinforced with transverse ribs under nonstationary loads

The problem of forced nonaxisymmetric vibrations of reinforced ellipsoidal shells under nonstationary loads is formulated. A numerical algorithm of solving it is developed and the results obtained are analyzed Translated from Prikladnaya Mekhanika, Vol. 44, No. 10, pp. 63–73, October 2008.     

Dynamic Design of Compound Shell Structures of Revolution Under Nonstationary Loads*

International Applied Mechanics - A technique for solving dynamic problems of the behavior of compound shell structures (solving the equations of motion subject to appropriate boundary and initial...     

Solving axisymmetric dynamic problems for reinforced shells of revolution on an elastic foundation

The dynamic behavior of reinforced shells of revolution in an elastic medium is modeled. Pasternak’s model is used. A problem of vibration of discretely reinforced shells of revolution is formulated and a numerical algorithm is developed to solve it. Results from an analysis of the dynamic behavior of a reinforced spherical shell on an elastic foundation are presented as an example Translated from Prikladnaya Mekhanika, Vol. 45, No. 2, pp. 99–106, February 2009.     

Comparative Analysis of the Dynamic Responses of Transiently Loaded Sandwich Shells Predicted by Various Applied Theories

The stress–strain state of sandwich shells of revolution under nonstationary loads is analyzed numerically by the Timoshenko and Kirchhoff–Love theories that treat the stack of layers as a whole and by a theory that deals with each layer individually. In a particular case, the results are compared with known analytical solutions and experimental data     

Dynamic problems for and stress–strain state of inhomogeneous shell structures under stationary and nonstationary loads

This paper reviews studies and analyzes results on the effect of discrete ribs on the dynamic characteristics of rectangular plates and cylindrical shells. Use is made of the vibration equations derived from the classical theories of beams, plates, and shells. The effect of Pasternak’s elastic foundation on the critical velocities of a structurally orthotropic model of a ribbed cylindrical shell is determined. Nonstationary problems are solved for perforated and ribbed shells of revolution filled with a fluid or resting on an elastic foundation and subjected to moving or impulsive loads. Results from studies of the behavior of sandwich shell structures under impulsive loads of various types are presented