Journal Article10.2514/1.17466
Structural Ritz-Based Simple-Polynomial Nonlinear Equivalent Plate Approach - An Assessment
Luciano Demasi,Eli Livne +1 more
TL;DR: In this article, the von Karman plate approach is extended to the case of geometrically nonlinear structural behavior, and a penalty function approach is used to impose boundary conditions and compatibility of motion between adjacent segments.
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Abstract: Thelinearequivalentplateapproachdevelopedandusedfortheaeroelasticoptimizationofcompositewingsatthe conceptual design stage is a Ritz approach based on simple polynomial functions as generalized coordinates. Generalization to the case of geometrically nonlinear structural behavior is presented here in an effort to assess accuracy and performance of the method in the nonlinear static and linear dynamic cases. Using the von Karman plate formulation for moderately large deformations, three-dimensional assemblies of thin-plate segments are modeled using a penalty function approach to impose boundary conditions and compatibility of motion between adjacent segments. Closed-form expressions for mass and stiffness terms (linear and nonlinear) make numerical integration unnecessary. Numerical results obtained by the present method for a variety of plate structures, in both static anddynamic cases, show good correlation with published results andresults by othercomputer codes.Results by the present formulation are also compared with large-deformation results. Limits of applicability, in terms of the range of deformations still captured accurately by the equivalent plate method, are studied in all test cases.
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Citations
∞6 Mixed plate theories based on the Generalized Unified Formulation.: Part II: Layerwise theories
TL;DR: The generalized unified formulation for the case of composite plates and Reissner's Mixed variational theorem is, for the first time in the literature, applied to layerwise theories in this paper, where the compatibility of the displacements and the equilibrium of the transverse stresses between two adjacent layers are enforced a priori.
143
∞6mixed plate theories based on the Generalized Unified Formulation. Part II: Layerwise theories
Luciano Demasi
- 01 Jan 2009
TL;DR: The generalized unified formulation for the case of composite plates and Reissner's Mixed variational theorem is, for the first time in the literature, applied to layerwise theories in this paper, where the compatibility of the displacements and the equilibrium of the transverse stresses between two adjacent layers are enforced a priori.
134
A semi-analytical model for the combined aeroelastic behaviour and gust response of a flexible aerofoil
TL;DR: In this article, the combined aeroelastic behavior and gust response of a flexible aerofoil is explored theoretically, which comprises a structural model based on Rayleigh's beam equation.
36
Generalized Unified Formulation shell element for functionally graded Variable-Stiffness Composite Laminates and aeroelastic applications
TL;DR: In this article, the authors extend the generalized unified formulation (GUF) to the case of fourth-order triangular shell elements and VAT composites, which is a very powerful tool for the design of aerospace structures.
Efficient structural optimisation of composite materials aircraft wings
TL;DR: In this paper , the structural representation of the numerical model is based on the well-established equivalent-plate methodology, capable of reducing the size and computational cost of the associated problem.
22
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