An analysis of discrete-continuous mechanical systems with conjugations

Purpose: The main purpose of this work is developing a methodology, using non-classical methods, of modelling the complex mechanical systems with the continuous and discrete-continuous distribution of parameters. A simple task of dynamics can be solved by using this method, without limitations deriving from the type and number of the elements of a mechanical system. Design/methodology/approach: By using the non-classical methods of modelling, it was possible to develop a method of determining the matrices (flexibilities) of multi-link vibration mechanical systems with the continuous distribution of parameters that are able to perform longitudinal and flexural vibrations. The method is focused on broadening graphs method by mechanical systems and improving their description and design methods so that the mathematical formalism can reflect the essence of the problem involved in the designation of dynamic characteristics of such systems. Findings: The knowledge of the dynamic characteristics of a system determined for any inputs and outputs in form of kinematic and dynamic excitations is underlying the determination of frequency characteristics of the class of the systems under consideration. Research limitations/implications: The class of the systems considered refers to investigating into the dynamic and vibration characteristics of mechanical systems with the discrete-continuous distribution of parameters performing small vibrations around the adopted state of equilibrium. Practical implications: The presented method of this study is that the main point can be the introduction to e.g. additional kinematic excitations in form of a function of speed and accelerations or extending the method presented to cover the investigation of non-linear systems. Originality/value: The modelling and analysis of discrete-continuous vibration systems with conjugations using the non-classical method is a more general approach as compared to modelling and analysis in classical terms.