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The natural oscillations of an elastic body with a heavy rigid spike-shaped inclusion

โœ Scribed by S.A. Nazarov


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
601 KB
Volume
72
Category
Article
ISSN
0021-8928

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โœฆ Synopsis


It is established that oscillations in the low-frequency range are characteristic for a body with a heavyrigid spike-shaped inclusion, and corresponding modes mainly occur as flexural deformations of the tip of the spike, localized close to its vertex.


๐Ÿ“œ SIMILAR VOLUMES


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โœ Giuseppe Buttazzo; Alfred Wagner ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 117 KB

Clearly, if a portion of the body is above zero level, this would give a positive contribution to the potential energy, so that removing it would be more performant for the minimization problem. In other words, we may limit ourselves to consider only functions ' โ‰ค 0 and constraints c โ‰ค 0, so that Eq