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Relationship between the fundamental frequency and the static response of elastic systems

✍ Scribed by C. Sundararajan

Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
291 KB
Volume
51
Category
Article
ISSN
0022-460X

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✦ Synopsis

An approximate relationship between the fundamental frequency and the static response of undamped, linearly elastic systems is derived. The relationship is used to calculate the fundamental frequencies of membranes and plates of different geometries and boundary conditions.

πŸ“œ SIMILAR VOLUMES

LETTER TO THE EDITOR: ON THE RELATIONSHI
LETTER TO THE EDITOR: ON THE RELATIONSHIP BETWEEN THE FUNDAMENTAL FREQUENCY AND STATIC DEFLECTIONS OF THIN ELASTIC PLATES
✍ G. Radhakrishnan; B. Nageswara Rao; M.S. Sarma πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 168 KB

The precise determination of the frequencies of elastic plates of arbitrary geometry and boundary conditions involves considerable difficulties in the integration of the fourth order partial differential equation. From the point of view of practical application, approximate methods of determination

Relationship Between Fundamental Natural
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✍ C.W. Bert πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 236 KB

It is shown that the fundamental natural frequency of a wide variety of discrete and continuous systems is inversely proportional to the gravitational acceleration divided by the maximum static deflection, raised to the \(1 / 2\) power. The value of the constant of proportionality is determined for