High-frequency vibration of extended complex structures
An approach based on the representation of a complex structure in the form of a random-heterogeneous one-dimensional solid is offered. It is shown that for each structure, characterized by a relative density of the eigenfrequency spectrum and a damping, there is a certain critical frequency. If it i...
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| Published in | Probabilistic engineering mechanics Vol. 8; no. 1; pp. 15 - 24 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
1993
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| Online Access | Get full text |
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| Summary: | An approach based on the representation of a complex structure in the form of a random-heterogeneous one-dimensional solid is offered. It is shown that for each structure, characterized by a relative density of the eigenfrequency spectrum and a damping, there is a certain critical frequency. If it is exceeded (high-frequency region), then the structure acts as a mechanical system with a continuous spectrum of eigenfrequencies. The Dyson integral equation is used to find the mean vibrational field of an essentially heterogeneous structure. The three main reasons for the considerable spatial absorption of high-frequency vibration are revealed: (i) backward influence of the secondary systems' vibration on the general vibrational field of the structure, (ii) dispersional processes and multiple scattering in the case of essentially heterogeneous structure, (iii) inherent material damping and dry friction between the components of the structure. |
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| Bibliography: | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
| ISSN: | 0266-8920 1878-4275 |
| DOI: | 10.1016/0266-8920(93)90026-R |