Damped oscillating systems modeled by hyperbolic differential equations with slowly varying coefficients

Author:

Arya J. C.,Bojadziev G. N.

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Computational Mechanics

Reference9 articles.

1. Krylov, N. N., Bogoliubov, N. N.: Introduction to nonlinear mechanics. Acad. Sci. Ukr. SSR (1937). (English translation: Princeton: Princeton University Press 1947.)

2. Bogoliubov, N. N., Mitropolskii, Yu. A.: Asymptotic methods in the theory of nonlinear oscillations. Moscow: 1958. (English translation: New York: Gordon and Breach 1961.)

3. Mitropolskii, Yu. A., Moseenkov, B. J.: Lectures on the application of asymptotic methods to the solution of equations with partial derivatives. Acad. Sci. Ukr. SSR, Kiev (1968). (In Russian.)

4. Bojadziev, G. N., Lardner, R. W.: Monofrequent oscillations in mechanical systems governed by second order hyperbolic differential equations with small nonlinearities. Int. J. Nonlinear Mechanics8, 289?302 (1973).

5. Bojadziev, G. N., Lardner, R. W.: Second order hyperbolic equations with small nonlinearities in the case of internal resonance. Int. J. Nonlinear Mechanics9, 397?407 (1974).

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