Some Approximate Methods for the Study of Nonlinear Oscillations of a Liquid in Vessels of Complex Geometrical Form,

Abstract

The problem of nonlinear oscillations of a liquid in a moving vessel of complicated geometric form is considered. An approximate method for the solution of the nonlinear boundary value problems is suggested which is based on representing the perturbed free surface in a form that essentially takes advantage of the geometric characteristics of the cavity. The nonlinear boundary-value problem is reduced to solving weighted linear eigenvalue problems with boundary conditions involving a parameter. Approximate methods for solving these eigenvalue problems are proposed.

Document Details

Document Type
Technical Report
Publication Date
Jan 20, 1974
Accession Number
ADA001487

Entities

People

  • I. A. Lukovskii

Organizations

  • United States Army Foreign Science and Technology Center

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Eigenvalues
  • Equations
  • Geometric Forms
  • Mathematical Analysis
  • Oscillation

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Fluid Mechanics and Fluid Dynamics.