A Study of Single-Frequency Oscillations in Mechanical Systems Described by One-Dimensional Boundary Value Problems with Non-Linear Boundary Conditions,
ARMY FOREIGN SCIENCE AND TECHNOLOGY CENTER CHARLOTTESVILLE VA
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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.