A Study of Single-Frequency Oscillations in Mechanical Systems Described by One-Dimensional Boundary Value Problems with Non-Linear Boundary Conditions,

Abstract

In the study of single-frequency oscillations the technique of constructing the appropriate solutions is developed for one-dimensional mixed and boundary value problems described by the quasiwave equation with two non-linear boundary conditions. The asymptotic methods of N. N. Bogolyubov and Y. A. Mitropolskiy are extended to the class of problems mentioned above. This technique can be applied with some modifications to the study of single-frequency regimes of stationary and non-stationary rod oscillations, for which the corresponding boundary value problems may contain, in the general case, four quasilinear boundary conditions.

Document Details

Document Type
Technical Report
Publication Date
Feb 22, 1974
Accession Number
AD0785975

Entities

People

  • B. I. Moseenkov

Organizations

  • United States Army Foreign Science and Technology Center

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Equations
  • Frequency
  • Oscillation
  • Stationary

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.