Abstract

Abstract The analytical model applicable to calculate the equivalent stiffnesses of composite box beam has been refined. The calculation of equivalent stiffness coefficients of composite laminated box beam is simplified and the connection between shear-deformable beam theory and classical laminate theory is established. The equivalent stiffness analytic formulas expressed by beam cross-section geometry and laminate stiffness coefficients are obtained. These analytical formulas are suitable for composite laminated box beam with circumferential uniform stiffness, and accounts for bending- transverse shear and torsiontensile coupling effect. The correctness and precision of refined analytical model is verified by test and finite element method, respectively. The influences of the lay-ups on the elastic coupling of composite structures and their causes are studied. The variation of the equivalent stiffnesses of the laminated box beams with different lay-ups is predicted. The global buckling analysis of composite laminated box beam considering the transverse shear deformation is carried out. The formula of the global buckling critical load is obtained combining with the theoretical formulas of equivalent stiffnesses. The influences of the lay-ups, shear deformation and slenderness ratio on the global buckling critical load are studied.

Highlights

  • The analytical model applicable to calculate the equivalent stiffnesses of composite box beam has been refined

  • In order to solve the problem that calculating the equivalent stiffnesses of composite laminated box beam is complicated, inaccurate, and difficult to analyze in depth, the analytical model of the first-order shear-deformable beam established in the literature [13, 14, 19] is refined in this paper

  • This is because the layered equivalent superposition method is based on the one-dimensional constitutive equation of composite materials, the transverse shear deformation and the bending-shear coupling effects are not considered, while the shear- deformable beam theory is based on three-dimensional constitutive equation and the actual deformation state of the component is considered

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Summary

Introduction

Abstract: The analytical model applicable to calculate the equivalent stiffnesses of composite box beam has been refined. The calculation of equivalent stiffness coefficients of composite laminated box beam is simplified and the connection between shear-deformable beam theory and classical laminate theory is established. Shear-torsion coupling static analytical model of composite thin-walled box beam, but the elastic coupling effects are neglected when calculating the equivalent stiffnesses. In order to solve the problem that calculating the equivalent stiffnesses of composite laminated box beam is complicated, inaccurate, and difficult to analyze in depth, the analytical model of the first-order shear-deformable beam established in the literature [13, 14, 19] is refined in this paper. The analytical formulas of the equivalent torsional and bending stiffnesses of composite laminated box beam are derived respectively These formulas are expressed by beam crosssection geometric dimensions and the laminate stiffness coefficients, which makes calculation simple and precise. The works provide theoretical guidance for engineering design of composite laminated box beam

Displacement field
Geometric equation
Equivalent constitutive equation
Equivalent stiffness calculation
Refined calculation of the equivalent stiffness coeflcients
C16 C26 C36 0
A26 B12 A22
Test verification
Finite element verification
Selection of lay-ups
Prediction of equivalent stiffness under five lay-ups
Global buckling analysis of composite laminated box beam
Analysis of influencing factors of global γ dwS dz ks
Effect of shear deformation
Effect of the lay-ups
Effect of slenderness ratio
Findings
Conclusion remarks

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