CLOSED-FORM SOLUTIONS FOR LAMINATED COMPOSITE AND SANDWICH BEAMS LOADED BY TEMPERATURE FIELD

2020 ◽  
Vol 11 (3) ◽  
pp. 239-265
Author(s):  
Sanjay K. Kulkarni ◽  
Yuwaraj M. Ghugal
Keyword(s):  
Temperature Field ◽  
Closed Form ◽  
Laminated Composite ◽  
Sandwich Beams ◽  
Closed Form Solutions

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.

A Closed-Form Solution for Thermal Buckling of Cross-Ply Piezolaminated Plates

2016 ◽  
Vol 16 (03) ◽  
pp. 1450112 ◽  
Author(s):  
Mehdi Bohlooly ◽  
Babak Mirzavand
Keyword(s):  
Closed Form ◽  
Plate Theory ◽  
Ritz Method ◽  
Closed Form Solution ◽  
Laminated Composite ◽  
Composite Plates ◽  
Form Solution ◽  
Thermal Buckling ◽  
Closed Form Solutions ◽  
Piezoelectric Layers

A thermal buckling analysis is presented for simply-supported rectangular symmetric cross-ply laminated composite plates that are integrated with surface-mounted piezoelectric actuators and subjected to the combined action of thermal load and constant applied actuator voltage. The material properties of the composite and piezoelectric layers are assumed to be functions of temperature. Derivations of the equations are based on the classical laminated plate theory, using the von-Karman nonlinear kinematic relations. The Ritz method is adopted to obtain closed-form solutions for the critical buckling temperature. Numerical examples are presented to verify the proposed method. The effects of the applied actuator voltage, plate geometry and stacking sequence of laminates are investigated.

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