A general vibration analysis of functionally graded porous structure elements of revolution with general elastic restraints

2019 ◽  
Vol 209 ◽  
pp. 277-299 ◽  
Author(s):  
Xianlei Guan ◽  
Kyongjin Sok ◽  
Ailun Wang ◽  
Cijun Shuai ◽  
Jinyuan Tang ◽  
...  
Keyword(s):  
Porous Structure ◽  
Vibration Analysis ◽  
Functionally Graded ◽  
Elastic Restraints

Modified Fourier–Ritz Approximation for the Free Vibration Analysis of Laminated Functionally Graded Plates with Elastic Restraints

2015 ◽  
Vol 07 (05) ◽  
pp. 1550073 ◽  
Author(s):  
Zhu Su ◽  
Guoyong Jin ◽  
Xueren Wang ◽  
Xuhong Miao
Keyword(s):  
Free Vibration ◽  
Boundary Conditions ◽  
Vibration Analysis ◽  
Free Vibration Analysis ◽  
Functionally Graded ◽  
Functionally Graded Plates ◽  
Lamina Thickness ◽  
Volume Fractions ◽  
Elastic Restraints ◽  
Benchmark Solutions

Free vibration analysis of moderately thick laminated functionally graded rectangular plates with elastic restraints is presented using the modified Fourier–Ritz method in conjunction with the first-order shear deformation plate theory. The material properties are assumed to change continuously through the lamina thickness according to a power-law distribution of volume fractions of the constituents. Each of the displacements and rotations of the laminated functionally graded plates, regardless of boundary conditions, is represented by a modified Fourier series which is constructed as the linear superposition of a standard Fourier cosine series and several closed-form auxiliary functions. The accuracy, convergence and reliability of the current solutions are demonstrated by numerical examples and comparison of the present results with those available in the literature. New results for free vibration of laminated functionally graded plates are presented, which may serve as benchmark solutions. The effects of the boundary conditions, volume fractions and lamina thickness ratios on the frequencies of the plates are investigated.

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