Qualitative Methods for the Investigation of a Mathematical Model of Nonlinear Vibrations of a Conveyer Belt
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We describe a procedure used for the qualitative investigation of the solution of a mathematical model of vibrations of a conveyer belt based on the general approaches of the theory of nonlinear boundary-value problems. We consider the behavior of a vibrating system at a time fairly distant from the initial moment. The proposed procedure is based on the application of the method of monotonicity and Galerkin’s method and enables us to prove the correctness of the solution of the problem and use various approximate methods for its investigation.
KeywordsNonlinear Vibration Conveyer Belt Qualitative Investigation Nonlinear Hyperbolic Equation Nonlinear Mathematical Model
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- 1.M. O. Kolin’ko, S. P. Lavrenyuk, and P. Ya. Pukach, “Fourier problem for a nonlinear second-order hyperbolic equation,” Visn. L’viv. Univ. Ser. Mekh.-Mat., Issue 62, 67–79 (2003).Google Scholar
- 3.Ya. G. Panovko, Introduction to the Theory of Mechanical Vibrations [in Russian], Nauka, Moscow (1991).Google Scholar
- 5.B. I. Sokil, “Investigation of nonlinear vibrations of conveyer belts,” Optym. Vyrobn. Prots. Tekhnol. Kontr. Mashynobud. Pryladobud., No. 394, 101–104 (2000).Google Scholar