Abstract
The dynamic response of functionally graded skew shell is investigated using a C0 finite element formulation. Reddy's higher order theory has been employed to perform the analysis and the volume fractions of the ceramic and metallic components are assumed to follow simple linear distribution law. The present study attempts to focus mainly on the influence of skew angle on frequency parameter and displacement of shell panel with various geometries. Comprehensive numerical results are demonstrated for cylindrical, spherical and hypar shells for different boundary conditions and skew angles.The findings obtained for functionally graded skew shell panels are new and can be used as bench mark for researchers in this field.
Highlights
Due to commodious applications of functionally graded material (FGM) in various fields of engineering, it enthralled the attention of many researchers worldwide
Owing to the above reasons, a large number of works have been devoted to conceive the vibration characteristics and dynamic response of functionally graded plates and shells exposed to thermomechanical loads
First order shear deformation theory (FSDT) which neglects the effects of transverse shear strain is used to accomplish the linear as well as non linear response of shells
Summary
Due to commodious applications of functionally graded material (FGM) in various fields of engineering, it enthralled the attention of many researchers worldwide. Zhao et al.[6] carried out static and vibration analysis of functionally graded cylindrical shell using element-free kp-Ritz method and found that the volume fraction exponent plays significant role in predicting the response of the shell; Kim et al [4] presented the. Yang and Shen [18] analyzed the effect of thermal field on free and forced vibration analysis of functionally graded plates that combines the Reddy’s higher order shear deformation plate theory with Galerkin technique. Reddy’s higher order theory, Galerkin technique and Blotin’s method are applied to study the response of the shell panels under static and periodic loads. Setareh and Isvandzibaei[8] studied the vibration characteristics of functionally graded cylindrical shell using Reddy’s higher order shear deformation theory. It is anticipated that the present results paves the way for researchers who are involved in the area of functionally graded skew shells
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