Large amplitude vibration and post-buckling analysis of variable cross-section composite beams on nonlinear elastic foundation

2014 ◽  
Vol 79 ◽  
pp. 47-55 ◽  
Author(s):  
H. Asadi ◽  
M.M. Aghdam
Keyword(s):  
Elastic Foundation ◽  
Cross Section ◽  
Large Amplitude ◽  
Variable Cross Section ◽  
Composite Beams ◽  
Variable Cross ◽  
Amplitude Vibration ◽  
Post Buckling ◽  
Large Amplitude Vibration ◽  
Nonlinear Elastic

scholarly journals Dynamic Analysis of Single-Layered Graphene Nano-Ribbons (SLGNRs) with Variable Cross-Section Resting on Elastic Foundation

2019 ◽  
Vol 6 (1) ◽  
pp. 132-145 ◽  
Author(s):  
Subrat Kumar Jena ◽  
S. Chakraverty
Keyword(s):  
Elastic Foundation ◽  
Cross Section ◽  
Differential Quadrature Method ◽  
Beam Theory ◽  
Nonlocal Elasticity Theory ◽  
Variable Cross Section ◽  
Variable Cross ◽  
Winkler Elastic Foundation ◽  
The Cross ◽  
Euler Bernoulli Beam

AbstractThis article deals with free vibration of the variable cross-section (non-uniform) single-layered graphene nano-ribbons (SLGNRs) resting on Winkler elastic foundation using the Differential Quadrature Method (DQM). Here characteristic width of the cross-section is varied exponentially along the length of the nano-ribbon while the thickness of the cross section is kept constant. Euler–Bernoulli beam theory in conjunction with Eringen nonlocal elasticity theory is considered in this study. The numerical as well as graphical results are reported by using MATLAB codes developed by authors. Convergence of present method is explored and our results are compared with known results available in literature showing excellent agreement. Further, effects various parameters on frequency parameters are studied comprehensively.

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