Abstract
A method has been developed to dynamically characterize complex structures’ interfaces at low frequencies. The aim is to optimize vibration isolation of a main structure subjected at its junctions to forces generated by connected substructures. An eigenvalue problem is formulated by minimizing the average dissipated power flow of the system. Hence, the derived eigenvalues and eigenvectors describe the energy pattern at each given frequency. It is then possible to characterize the real interface forces and, for example, to control them by determining the appropriated external forces to apply to the structure. This method has been studied on an academic system and applied to a simple coupled structure.
Highlights
Industrial structures are often referred to as complex structures
This study presents a power flow mode method that comes within a general approach aiming at minimizing the response level of a substructure by minimizing the power flow dissipated at the interfaces with other substructures
The averaged power P transmitted in a cycle through a multiple point, n degreeof-freedom, interface subjected to interface forces is given by
Summary
Industrial structures are often referred to as complex structures. They are composed of an assembly of several substructures, whose mechanical properties generally differ, joined at their interfaces by different junction types. By considering a continuous formulation of wave propagation in structures like infinite beams or plates, representing simple machinery foundations, mobility and impedance methods have been introduced to compute the averaged dissipated power (Pinnington et al, 1981) These are derived from the concept of electric impedance (Gardonio et al, 2002) and make the link between the force applied to an element and its dynamic response at a particular observation point. The general idea is to optimize the junction parameters in order to project the interface forces, generated by a given external loading, onto the power flow subspace that is orthogonal to the most dissipative directions Following this introduction, the theoretical formulation of the problem is exposed in section 2 and the concept of power flow mode is introduced. The proposed optimization method is applied to a simple multimode coupled structure in section 5, before ending with some general conclusions
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