Development of MATLAB Codes to Find the Natural Frequencies of a Composite Structure

Kumar G.A. Yashavantha; K.M. Sathish Kumar

doi:10.4028/www.scientific.net/AMM.895.319

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Development of MATLAB Codes to Find the Natural Frequencies of a Composite Structure
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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 895Development of MATLAB Codes to Find the Natural...

Development of MATLAB Codes to Find the Natural Frequencies of a Composite Structure

Abstract:

Modal analysis is a method to describe the dynamic properties of structure such as natural frequency, mode shape and damping ratio. These properties are important for design and analysis of structure in dynamic condition. MATLAB is a high-performance numerical computation and visualization software package. It provides an interactive environment with hundreds of built-in functions for technical computation, graphics, and animation. In present analysis, use of MATLAB is done for finding the free vibrational characteristics of a structure made of composite material. The study involves finding the natural frequencies of structure made of Glass-epoxy, Carbon-epoxy and Graphite fiber reinforced polyamide materials. In this case Euler’s-Bernoulli beam theory is used for analytical solution and to construct MATLAB codes. The structure considered here is a beam with fixed-free condition. The results obtained from the MATLAB are accurate comparatively, the results obtained shows that the MATLAB can be further used to write programs which involve complicated iterations and cannot be done manually. The further work can be extended for writing the programs of much more complex equations in MATLAB and obtains exact solution.

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Periodical:

Applied Mechanics and Materials (Volume 895)

Pages:

319-323

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.895.319

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Online since:

November 2019

Authors:

Kumar G.A. Yashavantha*, K.M. Sathish Kumar

Keywords:

Composite Structure, MATLAB, Mode Shape, Natural Frequency

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