scholarly journals Nonlinear Vibration Analysis Of Prebuckling And Postbuckling In Laminated Composite Beams

2015 ◽  
Vol 61 (2) ◽  
pp. 161-178 ◽  
Author(s):  
G. Abdollahzadeh ◽  
M. Ahmadi
Keyword(s):  
Analytical Solution ◽  
Nonlinear Vibration ◽  
Vibration Analysis ◽  
Nonlinear Vibrations ◽  
Natural Frequencies ◽  
Oscillation Amplitude ◽  
Laminated Composite ◽  
Composite Beams ◽  
New Methods ◽  
Laminated Composite Beams

AbstractIn this stud y, we attempt to analyse free nonlinear vibrations of buckling in laminated composite beams. Two new methods are applied to obtain the analytical solution of the nonlinear governing equation of the problem. The effects of different parameters on the ratio of nonlinear to linear natural frequencies of the beams are studied. These methods give us an agreement with numerical results for the whole range of the oscillation amplitude.

Nonlinear vibration absorption of laminated composite beams in complex environment

2020 ◽  
Vol 99 (4) ◽  
pp. 2605-2622 ◽  
Author(s):  
Ye-Wei Zhang ◽  
Shuai Hou ◽  
Zhong Zhang ◽  
Jian Zang ◽  
Zhi-Yu Ni ◽  
...  
Keyword(s):  
Nonlinear Vibration ◽  
Laminated Composite ◽  
Composite Beams ◽  
Complex Environment ◽  
Vibration Absorption ◽  
Laminated Composite Beams

Analytical Solution for Vibration of a Rotating Delaminated Composite Beam with End Mass

2016 ◽  
Vol 16 (06) ◽  
pp. 1550013 ◽  
Author(s):  
Ramazan-Ali Jafari-Talookolaei
Keyword(s):  
Analytical Solution ◽  
Natural Frequencies ◽  
Laminated Composite ◽  
Mode Shapes ◽  
Material Anisotropy ◽  
Rotating Speed ◽  
Multipliers Method ◽  
Free Mode ◽  
The Difference ◽  
Laminated Composite Beams

In this paper, the free vibration of rotating laminated composite beams (LCBs) with general lay-ups and single through-the-width delamination is analytically investigated. The Hamilton’s principle is used to derive the coupled governing differential equations and boundary conditions for the rotating delaminated beam, considering the effects of shear deformation, rotary inertia, material couplings (bending–tension, bending–twist and tension–twist couplings), and Poisson’s effect. Both the free mode and constrained mode assumptions are adopted. Analytical solution for the natural frequencies and mode shapes are presented by incorporating the constraint conditions using the Lagrange multipliers method. The accuracy is assured by the convergence of the natural frequencies, as well as by comparison with published results. The effects of various factors such as delamination parameter, fiber angle, hub radius, material anisotropy, end mass and rotating speed are studied in detail. The difference between the results based on the free mode and constrained mode assumptions is also investigated.

Free Vibration Analysis of the Laminated Composite Beams by Using DQM

2008 ◽  
Vol 28 (7) ◽  
pp. 881-892 ◽  
Author(s):  
Gökmen Atlihan ◽  
Hasan Çallioğlu ◽  
E. Şahin Conkur ◽  
Muzaffer Topcu ◽  
Uğur Yücel
Keyword(s):  
Free Vibration ◽  
Vibration Analysis ◽  
Laminated Composite ◽  
Free Vibration Analysis ◽  
Composite Beams ◽  
Laminated Composite Beams

Large Amplitude Thermo-Mechanical Vibration Analysis of Asymmetrically Laminated Composite Beams

2011 ◽  
Vol 471-472 ◽  
pp. 745-750 ◽  
Author(s):  
Ali Fallah ◽  
Hamid Shahsavari Alavijeh ◽  
Abdoreza Pasharavesh ◽  
Mohammad Mohammadi Aghdam
Keyword(s):  
Large Amplitude ◽  
Vibration Analysis ◽  
Thermal Loading ◽  
Closed Form Solution ◽  
Laminated Composite ◽  
Free Vibration Analysis ◽  
Composite Beams ◽  
Form Solution ◽  
Simple Analytical Expression ◽  
Laminated Composite Beams

In this paper, simple analytical expression is presented for large amplitude thermo-mechanical free vibration analysis of asymmetrically laminated composite beams. Euler-Bernoulli assumptions together with Von Karman's strain-displacement relation are employed to derive the nonlinear governing partial differential equation (PDE) of motion. He's variational method is employed to obtain a simple and efficient approximate closed form solution of the nonlinear governing equation. Comparison between results of the present work and those available in literature shows the accuracy of presented technique. Some new results for the nonlinear natural frequencies of the laminated beams such as the effect of vibration amplitude, lay-up configuration and thermal loading are presented for future references.

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