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UNCOUPLED FLEXURAL VIBRATIONS OF STRAIGHT BEAMS WITH ALL POSSIBLE BOUNDARY CONDITIONS TREATED BY A TRANSFER MATRIX METHOD

✍ Scribed by K.B. Subrahmanyam; A.K. Garg


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
271 KB
Volume
204
Category
Article
ISSN
0022-460X

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✦ Synopsis


A computer code is developed to furnish the details of the frequencies, mode shapes (displacement, slope, shear force and bending moment) and generalized masses for the uncoupled flexural vibrations of straight beams with all possible boundary conditions, accounting for complicating effects such as shear deformation, rotary inertia, variable axial loading and flexibility of supports. A transfer matrix procedure has been used in developing the code. The results produced by the presently developed code are validated by comparison with exact solutions developed in this paper for certain cases, and also with the results available in the published literature. The code is shown to produce results of excellent accuracy, and it is believed that it will be useful to the designer in obtaining dependable results for fairly complex beam geometries with discontinuities in mass and stiffness distributions, support flexibilities and variable axial loads.