Applicability of the Fourier Expansion Method of Separation of Variables in the Linear Discrete-Continuous Systems with Distributional Coefficients |
| S. Kasprzyk
Katedra Mechaniki i Wibroakustyki, AGH - UST, al. A. Mickiewicza 30, 30-059 Kraków, Poland |
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| The analytical examination of mechanical systems in the aspect of their vibro-isolation can be limited to the construction of a computational system. The analytical description of the adopted appropriate computational model may be executed with the help of a set of differential equations of the second order, differential equations with partial derivatives or of both types at the same time. The latest description is associated with the so-called discrete-continuous systems. It is the most convenient to analyze the vibrations of the linear discrete-continuous systems in the class of functions generalized with the Fourier method of separation of variables. Until now it was possible to execute only for a small set of parameters of the system's structure. In the work the author presents a computational model that covers all the structural parameters of the system. |
| DOI: 10.12693/APhysPolA.119.981 PACS numbers: 46.70.De, 46.40.-f |