General expressions for the modal density of one- and two-dimensional periodic structures are derived in terms of the phase constants which are associated with propagating wave motion. The energy flow in such structures is then considered, and it is formally proved that the energy velocity is always
INFLUENCES OF SMALL CURVATURES ON THE MODAL CHARACTERISTICS OF THE JOINED HERMETIC SHELL STRUCTURES
β Scribed by D.T. HUANG
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 415 KB
- Volume
- 238
- Category
- Article
- ISSN
- 0022-460X
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β¦ Synopsis
From a practical engineering point of view, there is interest in understanding the in#uences of small curvatures on the modal characteristics of a plate}shell combination. However, research reports in this area are rarely found in literature. This paper is the "rst one to study the in#uences of small curvatures on free vibration of a plate}shell combined structure, consisting of a circular barrel-like shell and two spherically curved end plates, using the line receptance concepts and approximate frequency equations of barrel-shaped shell and spherically curved plate. It illustrates in detail information about natural frequencies and mode shapes of the combined structure under di!erent geometric con"gurations. Consequently, it provides useful information for setting up criteria for designing hermetic plate-shell joined structures, such as the hermetic shell of a refrigeration compressor. The receptance method, which is basically a component mode synthesis technique, is adopted as the solution procedure in this study. It predicts the responses and frequencies of a combined system in terms of the responses and frequencies of its subsystems. This technique, for cases to which it can be applied successfully, is a powerful tool in creating an understanding of the physics of combined structures.
2000 Academic Press D. T. HUANG
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