A finite element-based perturbation method for nonlinear free vibration analysis of composite cylindrical shells
article
In this paper, a finite element-based approach for nonlinear vibration analysis of shell structures is presented. The approach makes use of a perturbation method that gives an approximation for the amplitude-frequency relation of the structure. The method is formulated using a functional notation and is subsequently converted to a finite element notation. After the determination of the linear natural frequency and corresponding vibration mode, the perturbation approach yields the initial curvature of the amplitudefrequency relation with a modest additional computational cost. The implementation of the perturbation approach in a general purpose finite element code using a laminated curved shell element is described. The effectiveness of the approach is illustrated by application to single-mode and coupled-mode nonlinear vibration analyses of cylindrical shells. Results for isotropic and composite cylindrical shells are presented and compared with results obtained via alternative approaches. © 2011 World Scientific Publishing Company.
Topics
Composite shellsFinite elementsNonlinear vibrationsPerturbation methodAlternative approachAmplitude-frequencyComposite cylindrical shellComposite shellComputational costsCylindrical shellFinite ElementFinite element codesFunctional notationsGeneral purposeInitial curvatureNon-linear free vibrationNon-linear vibrationsNonlinear vibration analysisPerturbation approachperturbation methodShell elementShell structureSingle modeVibration modesCylinders (shapes)Finite element methodPerturbation techniquesShells (structures)Vibration analysis
TNO Identifier
436424
ISSN
0219-4554
Source
International Journal of Structural Stability and Dynamics, 11(4), pp. 717-734.
Pages
717-734
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