Flexural wave mechanics—An analytical approach to the vibration of periodic structures forced by convected pressure fields
✍ Scribed by A.L. Abrahamson
- Publisher
- Elsevier Science
- Year
- 1973
- Tongue
- English
- Weight
- 550 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0022-460X
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✦ Synopsis
It has been demonstrated previously that the concept of flexural waves may be used to simplify computation of the response of periodic structures under aero-acoustic excitation. Due to its formulation to date this work fias been limited, practically, to structures where exact solutions of the differential equations are derivable. Here, new formulations are considered with particular reference to energy methods and it is indicated that all approxi-: mate methods for deriving normal modes become special cases of general methods for deriving free flexural waves in infinite periodic structures. Wave propagation constants are introduced via "propagation selection conditions". The extended Hamilton's Principle is used to study the aero-acoustic induced response of infinite periodic systems in terms of series of free flexural waves, and equations of motion analogous to those of Powell's normal mode theory are established.