Analyzing the frequency band gap in functionally graded materials with harmonically varying material properties

M.h. Ansari; M. Amin Karami

doi:10.1117/12.2260296

5 April 2017 Analyzing the frequency band gap in functionally graded materials with harmonically varying material properties

M.h. Ansari, M. Amin Karami

Author Affiliations +

Proceedings Volume 10170, Health Monitoring of Structural and Biological Systems 2017; 101701J (2017) https://doi.org/10.1117/12.2260296
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2017, Portland, Oregon, United States

Abstract

The design and modeling of a bar made of functionally graded materials are studied in this paper. The material properties of the bar are harmonically varied along the bar. The bar is mathematically modeled and its governing equation is derived. The mode shapes and the natural frequencies of the system are calculated analytically using the boundary conditions at the two ends of the bar. The wave propagation in the bar is studied and the frequency band gap of the system is found. It is shown that by varying the material properties of the bar, we can design a system with a desired frequency band gap.

Citation Download Citation

M.h. Ansari and M. Amin Karami "Analyzing the frequency band gap in functionally graded materials with harmonically varying material properties", Proc. SPIE 10170, Health Monitoring of Structural and Biological Systems 2017, 101701J (5 April 2017); https://doi.org/10.1117/12.2260296

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