A novel approach for free vibration of axially functionally graded beams with non-uniform cross-section based on Chebyshev polynomials theory

2017 ◽  
Vol 168 ◽  
pp. 277-284 ◽  
Author(s):  
Yang Zhao ◽  
Yixin Huang ◽  
Mingquan Guo
Keyword(s):  
Free Vibration ◽  
Cross Section ◽  
Chebyshev Polynomials ◽  
Functionally Graded ◽  
Novel Approach ◽  
Uniform Cross Section

scholarly journals Free Vibration of AFG Circular Arch with Symmetric and Anti-symmetric Boundary Conditions at Mid-Arc

Symmetry ◽  
2020 ◽  
Vol 12 (3) ◽  
pp. 417 ◽  
Author(s):  
Joon Kyu Lee ◽  
Byoung Koo Lee
Keyword(s):  
Free Vibration ◽  
Boundary Conditions ◽  
Cross Section ◽  
Solution Method ◽  
Regular Polygon ◽  
Axial Direction ◽  
Functionally Graded ◽  
Material Parameters ◽  
Finite Element Software ◽  
Uniform Cross Section

This paper studies the in-plane free vibration of axially functionally graded (AFG) circular arches with non-uniform cross-section. The geometric and material properties of circular arches with regular polygon cross-section vary symmetrically about the mid-arc along the axial direction in quadratic polynomial form. The governing differential equations of the motion are derived, and the symmetric and anti-symmetric boundary conditions of the arches are developed for applying initial and boundary value problems in the solution method. The computed results agree well with the results of the finite element software ADINA. The effects of geometrical and material parameters on the natural frequency and mode shape of AFG circular arches are investigated.

Free Vibration Behavior of Exponential Functionally Graded Beams with Varying Cross-section

2010 ◽  
Vol 17 (2) ◽  
pp. 311-318 ◽  
Author(s):  
Hassen Ait Atmane ◽  
Abdelouahed Tounsi ◽  
Sid Ahmed Meftah ◽  
Hichem Abdesselem Belhadj
Keyword(s):  
Free Vibration ◽  
Cross Section ◽  
Functionally Graded ◽  
Vibration Behavior
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