AN INVESTIGATION OF POWER FLOW CHARACTERISTICS OF L-SHAPED PLATES ADOPTING A SUBSTRUCTURE APPROACH

• Published in: Journal of sound and vibration 2002-02, Vol.250 (4), p.627-648
• Main Authors: WANG, Z.H., XING, J.T., PRICE, W.G.
• Format: Article
• Language: English
• Subjects: Exact sciences and technology; Fundamental areas of phenomenology (including applications); Physics; Solid mechanics; Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Vibrations and mechanical waves
• ISSN: 0022-460X; 1095-8568
• DOI: 10.1006/jsvi.2001.3956

A substructure approach with free–free interface condition is formulated to investigate the power flow characteristics of an L-shaped plate. This is achieved by complementing the normal dynamic equations with geometric compatibility equations allowing the assessment of power flow dynamic characteristics applied to and excited within the system. The displacement contribution of the external and boundary coupling forces is deduced, permitting determination of the power flow between the interfaces of substructures. A power flow density vector is defined and the corresponding power flow lines illustrate the flow of power in the plate. Numerical examples demonstrate the applicability of the method and detailed configurations display the power flow characteristics associated with L-shaped plates. The proposed method can calculate the higher modes easily and efficiently to ensure convergence of solution as well as readily taking into account variations in substructure damping.