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Evaluation of natural vibration frequency and buckling loading of bending bar by searching zeros of a target function

โœ Scribed by Chen, R. S.

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
131 KB
Volume
13
Category
Article
ISSN
1069-8299

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โœฆ Synopsis

In this paper, the problem for evaluating the eigenvalues in the buckling problem and the natural vibration problem of the bending bar is reduced to ยฎnding zeros of a function, which is called the target function To in this paper. The explicit forms of the target functions can be obtained for all possible boundary value problems. The functions depend on the numerical solution of the fundamental problems. The zeros of the target functions will be the required eigenvalues. Finally, several numerical examples are given to demonstrate the use of the suggested method.

๐Ÿ“œ SIMILAR VOLUMES

Target function method for evaluating na
Target function method for evaluating natural vibration frequency of bending beam with adhesive mass
โœ Chen, Y. Z. ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 97 KB

The natural vibration frequency of a bending beam with the adhesive mass is investigated in this paper. From the numerical solution of the governing equation under the relevant boundary conditions, we can de"ne a function which is called the target function. It is proved that the problem for evaluat