The sensitivity as a criterion of synthesis of discrete vibrating fixed mechanical system

Abstract

In this paper, an attempt at designing discrete vibrating systems as machine subsystems of the required dynamical properties and at assessing the sensitivity of the obtained system in view of the values of the derived synthesised parameters has been made. A fundamental advantage of the graph and structural numbers method is a possibility of a topological isolation of the sensitivity edges in the polar graph and their algebraic representation by the structural numbers. The isolation of the sensitivity edge makes it possible to trace the impact of the changes in a given parameter on the behaviour of the system. The parametric sensitivity does not change the graph structure, these are only the edge weigh values that are subjected to the change. Thus, it is possible to generate a sequence of the system models with diverse nominal values of the parameters, while preserving the graph structure. Also, it is possible to test the structural sensitivity by a modification of the prime graph structure