Cylindrical vibration of an elastic cusped plate under the action of an incompressible fluid in case of N = 0 approximation of I. Vekuas hierarchical models

Abstract

This article deals with the study of an interaction between an elastic plate and an incompressible fluid when in the elastic plate part, the N = 0 approximation of Vekuas hierarchical models for cusped elastic plates is used.

Keywords:

• Hierarchical models
• Cusped plates
• Prismatic shells
• Incompressible fluid
• Interaction problem
• Mathematics Subject Classifications 2000: 74F10
• 74H45
• 74K20
• 35Q72

Acknowledgments

The research described in this publication was made possible in part by Award No. GTFP-11 of the Georgian Research and Development Foundation (GRDF) and the U.S. Civilian Research & Development Foundation for the Independent States of the Former Soviet Union (CRDF).

Notes

Dedicated to Prof. Dr Heinrich Begehr in admiration and friendship on his 65th birthday.

Additional information

Notes on contributors

R. P. Gilbert

Dedicated to Prof. Dr Heinrich Begehr in admiration and friendship on his 65th birthday.