ENERGY FLOW ANALYSIS OF COUPLED BEAMS

✍ Scribed by P.E. Cho; R.J. Bernhard

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 256 KB
• Volume: 211
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1997.1350

✦ Synopsis

Energy flow analysis (EFA) is an analytical tool for prediction of the frequency-averaged vibrational response of built-up structures at high audible frequencies. The procedure is based on two developments; first, the derivation of the partial differential equations that govern the propagation of energy-related quantities in simple structural elements such as rods, beams, plates, and acoustic cavities; and second, the derivation of coupling relationships in terms of energy-related quantities that describe the transfer of energy for various joints (e.g., beam-to-beam, rod-to-beam, plate-to-plate, structure-to-acoustic field coupling). In this investigation, the energy flow coupling relationships at these joints for rods and beams are derived. EFA is used to predict the frequency-averaged vibrational response of a frame structure with a three-dimensional joint, where four wave types propagate in the structure. The predicted results of EFA are shown to be a good approximation of the frequency-averaged ''exact'' energetics, which are computed from classical displacement solutions.