An exact solution of the title problem is presented. The overall situation is of great interest in many engineering applications. Three combinations of boundary conditions for the structural element are considered: simply supported, simply supported - clamped and clamped at both ends. An analysis of
Natural Vibrations of Cracked Shafts Carrying Elastically Mounted End Masses
โ Scribed by E.H. El-Dannanh; S.H. Farghaly
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 350 KB
- Volume
- 170
- Category
- Article
- ISSN
- 0022-460X
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โฆ Synopsis
The effects of a transverse open crack on the modal frequency parameters of stationary shafts carrying elastically mounted end masses are presented. Dimarogonas' crack model has been considered in the problem formulation. This is a (2 \times 2) local flexibility matrix with coupling terms. Most of the shaft configurations with classical and non-classical support conditions can be studied using the model presented. The modal frequency parameters for different design configurations and crack locations have been computed in order to clarify the vibrational behaviour and to specify the locations in which the crack becomes dangerous from the dynamic design point of view. Modal frequency graphs are provided for some engineering applications which may be of immediate use in design as identification tools for crack diagnosis and analysis.
๐ SIMILAR VOLUMES
The natural frequencies and the corresponding mode shapes of a uniform cantilever beam carrying ''any number of'' elastically mounted point masses are determined by means of the analytical-and-numerical-combined method (ANCM). One of the key points for the present method is to replace each spring-ma