Large-amplitude vibration of laminated composite plates of arbitraryshape

1983 ◽  
Author(s):  
C. MEI ◽  
F. CUNNINGHAM
Keyword(s):  
Large Amplitude ◽  
Laminated Composite ◽  
Composite Plates ◽  
Laminated Composite Plates ◽  
Amplitude Vibration ◽  
Large Amplitude Vibration

Large-amplitude vibration of imperfect angle-ply laminated rectangular plates for various materials

2015 ◽  
Vol 12 (4) ◽  
pp. 313-318
Author(s):  
He Huang ◽  
David Hui
Keyword(s):  
Large Amplitude ◽  
Fiber Strength ◽  
Composite Plates ◽  
Rectangular Plates ◽  
Modulus Ratio ◽  
Backbone Curve ◽  
Fiber Volume ◽  
Runge Kutta Method ◽  
Amplitude Vibration ◽  
Large Amplitude Vibration

This paper deals with the solution of modified-Duffing ordinary differential equation for large-amplitude vibration of imperfect angle-ply rectangular composite plates. The boundary condition is simply supported and in-plane movable. The initial condition for the vibration is an initial vibration amplitude. This vibration problem is solved numerically by Runge-Kutta method. The effect of plate imperfection is studied and proved that a typical backbone curve will show up in case of a relatively large imperfection. Three different composite materials are then chosen to reveal the influence of young’s modulus ratio. Four fiber volumes are assumed to study its effect on the vibration mode. It turns out that either increasing the fiber strength or increasing the fiber volume in a composite will lead to an increase of its overall strength. And this will further trigger the plate vibration to behave more nonlinearly.

Boundary Control of Large Amplitude Vibration of Anisotropic Composite Laminated Plates

2010 ◽  
Vol 132 (6) ◽  
Author(s):  
Hossein Rastgoftar ◽  
Mohammad Eghtesad ◽  
Alireza Khayatian
Keyword(s):  
Boundary Control ◽  
Large Amplitude ◽  
Control Method ◽  
Composite Plates ◽  
Laminated Plates ◽  
Composite Laminated Plates ◽  
Anisotropic Composite ◽  
Amplitude Vibration ◽  
Large Amplitude Vibration ◽  
Control Forces

This paper presents a solution to the stabilization problem of large amplitude vibration of the anisotropic composite laminated plates when the Kirchhoff theorem is used to model geometric equations of strain. Because of the large displacement in the normal direction to the plate, the plate displacements in in-plane directions are not dispensable, and strains and governing equations for transverse vibration and in-plane motions are nonlinear; therefore, the nonlinear boundary control method is proposed to be utilized to stabilize the plate vibration. The boundary control forces consist of feedback of the velocities and slope at the boundary of the plate. By applying the proposed method, it is possible to asymptotically stabilize large amplitude vibration of anisotropic composite plates with simply supported boundary conditions without resorting to truncation of the model and without the use of in-domain measuring and actuating devices.

Large Amplitude Vibration Analysis of Composite Beams under Thermal Stresses: Closed-Form Solutions

2012 ◽  
Vol 245 ◽  
pp. 144-149 ◽  
Author(s):  
Ali Reza Daneshmehr ◽  
Mostafa Mohammad Abadi ◽  
Meisam Soleimani
Keyword(s):  
Closed Form ◽  
Large Amplitude ◽  
Composite Beam ◽  
Vibration Analysis ◽  
Thermal Stresses ◽  
Method Comparison ◽  
Laminated Composite ◽  
Closed Form Solutions ◽  
Amplitude Vibration ◽  
Large Amplitude Vibration

In This study , the large amplitude vibration analysis of laminated composite beam under thermal stress with axially fixed ends is investigated with symmetric and asymmetric layup orientations by using the Rayleigh–Ritz (R–R) method. An exhaustive set of beam boundary condition are studied, namely, hinged-hinged, clamped-clamped, hinged- clamped, hinged-guided and clamped-guided beam in order to prove the efficacy of the present formulation. The composite beam is studied in this paper based on Euler-Bernoulli assumption together with von-Karman’s strain-displacement relation. The simple and efficient closed-form solutions are obtained for the nonlinear harmonic radian frequency as function of central amplitude of the beam using the R–R method. Comparison between results of the present study and those available in literature shows the accuracy of presented closed-form solutions.

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