On mathematical and analytical methods for solving problems on vibrations of membranes and plates

Authors

  • G.A. Yessenbayeva
  • D.N. Yesbayeva
  • D. Bauyrzhankyzy
  • D.A. Nurgali

DOI:

https://doi.org/10.31489/2018m1/113-120

Keywords:

boundary value problem, membrane, plate, vibrations, spectrum problem, orthonormal system of functions, deflection function

Abstract

The problems about determination of the frequencies and forms of natural vibrations of plates and shells lead to the necessity of partial differential equations integration. The well - researched cases are those where it is possible to separate the variables. In particular, these include the vibrations of a rectangular plate hinged on opposite sides, umbrella and fan vibration of circular axisymmetric plates and vibrations of cylindrical shells, closed or hinged along generating curves. In this work, the vibration of a flat homogeneous membrane is investigated for the general case of boundary conditions.

Downloads

Published

2018-03-30

Issue

Section

MECHANICS