THE EFFECT OF WALL ELASTICITY AND SURFACE TENSION ON THE FORCED OSCILLATIONS OF A LIQUID IN A CYLINDRICAL CONTAINER. PART 1. ANALYSIS

Abstract

The stability of a fluid contained in a circular cylindrical tank with a flat, flexible bottom under a periodic axial excitation was studied. An analytical difficulty for the solution of the linearized equations in the form of infinite series was discussed. A variational approach is formulated. An approximate solution results in a pair of coupled ordinary differential equations with periodic coefficients. A method of handling the stability of the solutions of such a system of equation is presented. Numerical results will be discussed in a later article.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1964
Accession Number
AD0608548

Entities

People

  • P. Tong
  • Y. C. Fung

Organizations

  • California Institute of Technology

Tags

Communities of Interest

  • Air Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Aeronautical Laboratories
  • Air Force
  • Calculus Of Variations
  • Coefficients
  • Computational Science
  • Differential Equations
  • Equations
  • Fluid Mechanics
  • Fluids
  • Frequency
  • Infinite Series
  • Mathematical Analysis
  • Mechanics
  • Membranes
  • Surface Properties
  • Surface Tension
  • Variational Principles

Fields of Study

  • Mathematics

Readers

  • Structural Dynamics.