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Some Applications of Structural Mathematical Modeling Methods
Abstract
The application of structural mathematical modeling methods in various fields is considered, including the problems of vibration isolation and protection of technical objects. Attention is paid to the concept of a lever and its manifestation in mechanical oscillatory systems. Dynamic interactions in mechanical systems are described, where partial systems reflect the properties of solids making angular vibrations. In such cases, the lever is realized in the form of levers of the first and second kind, their various forms of simple and complex connections. Examples of the use of two-wire groups in problems of dynamics of flat mechanisms are given. Peculiarities of lever development in mechanical chains and mechanisms are discussed, which requires development of specific methods for construction of mathematical models of technical objects and analysis of their dynamic properties.
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