A method of analysis of the free vibration of a three-layer sandwich beam with an elastic or viscoelastic core and arbitrary boundary conditions is presented. The characteristic equation of the free vibration is derived by applying the Green function which is obtained as a discrete solution of diffe
Vibration analysis of composite sandwich beams with viscoelastic core by using differential transform method
β Scribed by Aytac Arikoglu; Ibrahim Ozkol
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 688 KB
- Volume
- 92
- Category
- Article
- ISSN
- 0263-8223
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β¦ Synopsis
This paper deals with the vibration analysis of a three layered composite beam with a viscoelastic core. First, the equations of motion that govern the free vibrations of the sandwich beam are derived by applying Hamilton's principle. Then, these equations are solved by using differential transform method (DTM) in the frequency domain. The variation of modal loss factor with system parameters is evaluated and presented graphically. Also, the results obtained with DTM are checked against the findings of previous studies and a good agreement is observed. It is the first time that DTM is used for the eigenvalue analysis of a sandwich structure.
π SIMILAR VOLUMES
method a b s t r a c t In this paper, free vibration analysis of sandwich beams with functionally graded material as core material is investigated. For the analysis, the element free Galerkin method and Galerkin formulation for two dimensional elasticity problems are considered. Penalty method is us
In this paper, an analytical method for the free vibration of a three-layer, continuous sandwich beam with an elastic or viscoelastic core and arbitrary boundary conditions is presented. The characteristic equation for finding the natural frequencies and modes is derived by introducing a discrete-ty