Axisymmetric oscillations of a cupola-shaped shell

作者:Gavrilyuk Ivan; Hermann Martin; Trotsenko Volodymyr; Trotsenko Yuriy; Timokha Alexander*
来源:Journal of Engineering Mathematics, 2010, 68(2): 165-178.
DOI:10.1007/s10665-010-9372-1

摘要

A spectral boundary problem on axisymmetric eigenoscillations of a cupola-shaped shell is considered with emphasis on small shell thickness. The problem deals with a singularly perturbed system of ordinary differential equations. The paper examines analytical properties of the solution and, based on that, constructs an appropriate functional basis for Ritz' method. Employing this basis provides fast convergence in the C(3)-metrics.

  • 出版日期2010-10