Vibration analysis of continuous systems by differential transformation

This paper demonstrates the application of the technique of differential transformation to free vibration of continuous systems. The specific problem chosen for this purpose is that of thin beams. The transformation technique is employed for deriving frequency equations and mode functions. The frequ...

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Bibliographic Details
Published in:Applied mathematics and computation 1998-10, Vol.96 (1), p.17-26
Main Authors: Malik, Moinuddin, Huy Dang, Hao
Format: Article
Language:English
Subjects:
Bernoulli-Euler beam
Classical and quantum physics: mechanics and fields
Classical mechanics of continuous media: general mathematical aspects
Continuous system vibration
Differential transformation
Exact sciences and technology
Function theory, analysis
Mathematical methods in physics
Ordinary differential equations
Physics
Vibrations and mechanical waves
Waves and wave propagation: general mathematical aspects
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Summary:This paper demonstrates the application of the technique of differential transformation to free vibration of continuous systems. The specific problem chosen for this purpose is that of thin beams. The transformation technique is employed for deriving frequency equations and mode functions. The frequencies and mode shapes obtained from the differential-transformation solutions are compared with the exact analytical solutions. It is shown that the solutions obtained from the technique have a very high degree of accuracy.
ISSN:0096-3003
1873-5649
DOI:10.1016/S0096-3003(97)10076-5