V ibration of three - layered cylindrical shell with functionally graded middle layer for various volume fraction laws
Journal Title: International Journal of Scientific Research and Management - Year 2015, Vol 3, Issue 3
Abstract
ibration of cylindrical shell s is accomplished for their in volvement in various areas of engineering and technology . Shell vibration behavior depends upon on geometrical material parameters. M aterials in functionally graded form s are more progressive ones. They provide the maximum stability of a physical system. The re is graduation distribution of constituent materials in functionally graded materials and is controlled by polynomial, exponential and t rigonometric volume exponent fracti on laws. In the present study a cylindrical s hell is composed of three layers whereas the middle layer consists of functionally graded material and the extreme layer are of isotropic nature. Material composition of the FG layer is governed by polynomial, e xponential and trigonometric volume fraction exponent laws. Impact of these laws is examined on shell vibration frequencies for different physical parameters. Love’s thin shell theory is adopted for shell motion equations. T he Rayleigh - Ritz technique is ap plied to form the shell frequency equation which is solved by MATLAB software. The validity and accuracy of this method is investigated for a number of comparisons of numerical results
Authors and Affiliations
Zermina Gull B hutta
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