Simplified and accurate stiffness of a prismatic anisotropic thin-walled box.

Journal article


Canale, G., Rubino, Felice, Weaver, Paul M., Citarella, Roberto and Maligno, Angelo 2018. Simplified and accurate stiffness of a prismatic anisotropic thin-walled box. The Open Mechanical Engineering Journal. https://doi.org/10.2174/1874155X01812010001
AuthorsCanale, G., Rubino, Felice, Weaver, Paul M., Citarella, Roberto and Maligno, Angelo
Abstract

Background: Beam models have been proven effective in the preliminary analysis and design of aerospace structures. Accurate cross sectional stiffness constants are however needed, especially when dealing with bending, torsion and bend-twist coupling deformations. Several models have been proposed in the literature, even recently, but a lack of precision may be found when dealing with a high level of anisotropy and different lay-ups. Objective: A simplified analytical model is proposed to evaluate bending and torsional stiffness of a prismatic, anisotropic, thin-walled box. The proposed model is an extension of the model proposed by Lemanski and Weaver for the evaluation of the bend-twist coupling constant. Methods: Bending and torsional stiffness are derived analytically by using physical reasoning and by applying bending and torsional stiffness mathematic definition. Unitary deformations have been applied when evaluation forces and moments arising on the cross section. Results: Good accuracy has been obtained for structures with different geometries and lay-ups. The model has been validated with respect to finite element analysis. Numerical results are commented upon and compared with other models presented in literature. Conclusion: For cross sections with a high level of anisotropy, the accuracy of the proposed formulation is within 2% for bending stiffness and 6% for torsional stiffness. The percentage of error is further reduced for more realistic geometries and lay-ups. The proposed formulation gives accurate results for different dimensions and length rations of horizontal and vertical walls.

Background:
Beam models have been proven effective in the preliminary analysis and design of aerospace structures. Accurate cross sectional stiffness constants are however needed, especially when dealing with bending, torsion and bend-twist coupling deformations. Several models have been proposed in the literature, even recently, but a lack of precision may be found when dealing with a high level of anisotropy and different lay-ups.

Objective:
A simplified analytical model is proposed to evaluate bending and torsional stiffness of a prismatic, anisotropic, thin-walled box. The proposed model is an extension of the model proposed by Lemanski and Weaver for the evaluation of the bend-twist coupling constant.

Methods:
Bending and torsional stiffness are derived analytically by using physical reasoning and by applying bending and torsional stiffness mathematic definition. Unitary deformations have been applied when evaluation forces and moments arising on the cross section.

Results:
Good accuracy has been obtained for structures with different geometries and lay-ups. The model has been validated with respect to finite element analysis. Numerical results are commented upon and compared with other models presented in literature.

Conclusion:
For cross sections with a high level of anisotropy, the accuracy of the proposed formulation is within 2% for bending stiffness and 6% for torsional stiffness. The percentage of error is further reduced for more realistic geometries and lay-ups.

The proposed formulation gives accurate results for different dimensions and length rations of horizontal and vertical walls.

KeywordsThin-walled beams; Composite materials; Bending; Stiffness; Composites
Year2018
JournalThe Open Mechanical Engineering Journal
PublisherBentham Open
ISSN1874155X
Digital Object Identifier (DOI)https://doi.org/10.2174/1874155X01812010001
Web address (URL)http://hdl.handle.net/10545/622288
hdl:10545/622288
Publication dates14 Feb 2018
Publication process dates
Deposited13 Mar 2018, 11:15
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Archived with thanks to The Open Mechanical Engineering Journal

ContributorsRolls-Royce Plc, University of Salerno, University of Bristol and University of Derby
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