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Open AccessDissertation10.25959/23211311

Non-linear buckling and large deflection analyses of isotropic and composite stiffened panels using an arbitrarily orientated stiffened element approach

RE Ojeda-2011-01-01-Open Access Repository (University of Tasmania)

TL;DRAbstract

A new approach for the non-linear buckling and large deflection analyses of isotropic and composite stiffened panels, as used in high speed craft, is presented. Eight node isoparametric elements, formulated according to Marguerre shallow shell theory, are combined with three node beam elements, using the concept of equal displacements at the panel-stiffener interface, to represent the stiffened panels. Non-linear equilibrium equations are derived using the principle of virtual work applied to a continuum with a total Lagrangian description of motion. The arbitrarily stiffened, shallow shell element is capable of modelling eccentric or concentric stiffeners attached to flat or imperfect panels under in-plane or transverse loads. Special modelling considerations for the loading and boundary conditions, required in the linear and non-linear buckling analyses of stiffened panels using arbitrarily stiffened finite elements, are suggested and discussed for the first time. The Newton-Raphson

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A new approach for the non-linear buckling and large deflection analyses of isotropic and composite stiffened panels, as used in high speed craft, is presented. Eight node isoparametric elements, formulated according to Marguerre shallow shell theory, are combined with three node beam elements, using the concept of equal displacements at the panel-stiffener interface, to represent the stiffened panels. Non-linear equilibrium equations are derived using the principle of virtual work applied to a continuum with a total Lagrangian description of motion. The arbitrarily stiffened, shallow shell element is capable of modelling eccentric or concentric stiffeners attached to flat or imperfect panels under in-plane or transverse loads. Special modelling considerations for the loading and boundary conditions, required in the linear and non-linear buckling analyses of stiffened panels using arbitrarily stiffened finite elements, are suggested and discussed for the first time. The Newton-Raphson

Keywords

BucklingStructural engineeringIsotropyVirtual workDeflection (physics)Finite element methodBoundary value problemLinear elasticity

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