Abstract
The theory of complex variables is used to construct an approximate solution for the stationary vibrations of an isotropic rectangular cylinder with longitudinal curvilinear cavities. Numerical calculations are presented for a cylinder with one elliptical cavity.
Similar content being viewed by others
REFERENCES
V. G. Zhitnyaya, “Two-dimensional stationary vibrations of isotropic bodies with cavities, ” Teor. Prikl. Mekh., 24, 69–74 (1993).
V. G. Zhitnyaya, “Stationary stressed state of an elliptical cylinder, ” Teor. Prikl. Mekh., 30, 132–137 (1999).
A. S. Kosmodamianskii, Two-Dimensional Problem in the Theory of Elasticity for Plates with Holes, Cuts, and Protuberances [in Russian], Kiev (1975).
A. N. Guz', V. D. Kubenko, and M. A. Cherevko, Diffraction of Elastic Waves [in Russian], Kiev (1978).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Zhitnyaya, V.G. Stationary Stressed State of a Multiply Connected Rectangular Isotropic Cylinder. Journal of Mathematical Sciences 103, 386–388 (2001). https://doi.org/10.1023/A:1011326631579
Issue Date:
DOI: https://doi.org/10.1023/A:1011326631579