собственные частоты

Application of Generalized Differential Quadrature Method to Two-dimensional Problems of Mechanics

Authors: Barulina M. A.
The application of the generalized differential quadrature method to the solution of two-dimensional problems of solid mechanics is discussed by an example of the sample analysis of vibrations o f a rectangular plate under various types of boundary cond itions. The dif ferential quadrature method (DQM) is known as an effective method for resolving differential equations, both ordinary an d partial.

Impulsive Action on the Three-layered Circular Cylindrical Shells in Elastic Media

Authors: Leonenko D. V., Starovoitov E. I.

The paper considers oscillations of three-layered cylindrical shells filled by an elastic medium. External loads are impulsive. The Kirchhoff – Love’s hypotheses are assumed for thin isotropic bearing layers. The work of the transverse shear and thickness reduction in the thick filler is taken into account. Variations in displacements in the transverse coordinate are assumed to be linear. The conditions of continuous displacements are used on the contact boundary. The reaction of the inertia-free elastic filler is described in terms of the Winkler’s model.