POWER FLOW ANALYSIS OF COMPLEX COUPLED SYSTEMS BY PROGRESSIVE APPROACHES

✍ Scribed by Y.P. XIONG; J.T. XING; W.G. PRICE

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 240 KB
• Volume: 239
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.2000.3159

✦ Synopsis

A generalized mobility/impedance-power #ow mathematical model is developed to analyze the dynamical behaviour of a complex coupled system consisting of any number of substructures with various con"gurations and multiple interaction interfaces. The coupled system is subject to multiple excitations and selected boundary conditions. Generalized mobility/impedance matrix formulations for three-dimensional rigid and elastic structures of general con"guration are "rst derived allowing the construction of equivalent mobility (EMM) and equivalent impedance (EIM) matrices to describe the dynamical behaviour of a substructure or a subsystem assembled from several inter-connected substructures within the overall system. Based on these two proposed matrices, two progressive approaches are developed to predict the force vectors and velocity response vectors as well as the power #ows into and transmission between substructures in the complex coupled system. The developed mathematical model avoids the generalized inverse process associated with rectangular matrices when dealing with multi-input/multi-output (MIMO) systems in which the dimensions of input and output are di!erent. It is also very #exible and conveniently extended if additional substructures are further connected to the original dynamic system without involving much additional computational e!ort. The proposed methods are shown to reduce the complexity of the power #ow analysis applied to complex dynamic coupled systems and they are applicable to a very large class of dynamical systems in engineering. To illustrate and demonstrate their usage, the dynamics of a #exible raft vibration isolation system is investigated; this comprises two machines, #exible raft, and #exible foundation with connecting isolator attachments.