Using the Symmetries in the Civil Engineering. An overview

Abstract Structural symmetries existing in real engineering systems can be used in a dynamic analysis to the calculus of vibrations of these systems. In this paper will be presented two types of mechanical systems, some with concentrated masses, others continuous. For these types of structure with symmetries, specific properties that could be used to facilitate analysis of such a system will be presented. Properties of eigenvalues and eigenmodes have been demonstrated to facilitate and simplify the design of a real structure. In the field of engineering, both in civil engineering and in other fields such as the machine or machinery industry, automotive industry, aerospace industry there are machines, and machine components with identical, repetitive elements, which have their composition with symmetries of different types.