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A refined hyperbolic shear deformation theory for nonlinear bending and vibration isogeometric analysis of laminated composite plates
https://orcid.org/0000-0001-9149-9748
Abstract In this paper, a refined hyperbolic tangent higher order shear deformation theory is developed. Assuming that the shear function is parameter dependent, the parameters are determined by the inverse method. The refined theory is assessed by using the NURBS based isogeometric analysis for the geometric linear and nonlinear bending and free vibration problems of laminated composite plates. The nonlinearity of the plates is based on the von-Karman strain assumptions. Numerical examples show that the refined hyperbolic tangent shear deformation theory combined with IGA has high accuracy in both linear and geometric nonlinear analysis of laminated composite plates. The effects of plate length–thickness ratio, modulus ratio and stacking sequence on the static bending and free vibration behaviors of laminated plate are also discussed.
Highlights A new refined hyperbolic tangent higher order shear deformation theory is developed. The geometric linear and nonlinear bending and vibration sogeometric analysis of laminated composite plates is performed. The plate thickness and selection of plate theory have significant influence on the nonlinearity of bending deflection. The mode switching phenomena occurs with the increment of vibration amplitude, and is affected by many factors.
A refined hyperbolic shear deformation theory for nonlinear bending and vibration isogeometric analysis of laminated composite plates
https://orcid.org/0000-0001-9149-9748
Abstract In this paper, a refined hyperbolic tangent higher order shear deformation theory is developed. Assuming that the shear function is parameter dependent, the parameters are determined by the inverse method. The refined theory is assessed by using the NURBS based isogeometric analysis for the geometric linear and nonlinear bending and free vibration problems of laminated composite plates. The nonlinearity of the plates is based on the von-Karman strain assumptions. Numerical examples show that the refined hyperbolic tangent shear deformation theory combined with IGA has high accuracy in both linear and geometric nonlinear analysis of laminated composite plates. The effects of plate length–thickness ratio, modulus ratio and stacking sequence on the static bending and free vibration behaviors of laminated plate are also discussed.
Highlights A new refined hyperbolic tangent higher order shear deformation theory is developed. The geometric linear and nonlinear bending and vibration sogeometric analysis of laminated composite plates is performed. The plate thickness and selection of plate theory have significant influence on the nonlinearity of bending deflection. The mode switching phenomena occurs with the increment of vibration amplitude, and is affected by many factors.
A refined hyperbolic shear deformation theory for nonlinear bending and vibration isogeometric analysis of laminated composite plates
https://orcid.org/0000-0001-9149-9748
Abstract In this paper, a refined hyperbolic tangent higher order shear deformation theory is developed. Assuming that the shear function is parameter dependent, the parameters are determined by the inverse method. The refined theory is assessed by using the NURBS based isogeometric analysis for the geometric linear and nonlinear bending and free vibration problems of laminated composite plates. The nonlinearity of the plates is based on the von-Karman strain assumptions. Numerical examples show that the refined hyperbolic tangent shear deformation theory combined with IGA has high accuracy in both linear and geometric nonlinear analysis of laminated composite plates. The effects of plate length–thickness ratio, modulus ratio and stacking sequence on the static bending and free vibration behaviors of laminated plate are also discussed.
Highlights A new refined hyperbolic tangent higher order shear deformation theory is developed. The geometric linear and nonlinear bending and vibration sogeometric analysis of laminated composite plates is performed. The plate thickness and selection of plate theory have significant influence on the nonlinearity of bending deflection. The mode switching phenomena occurs with the increment of vibration amplitude, and is affected by many factors.
A refined hyperbolic shear deformation theory for nonlinear bending and vibration isogeometric analysis of laminated composite plates
Shi, Peng (Autor:in) / Dong, Chunying (Autor:in)
Thin-Walled Structures ; 174
07.02.2022
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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Bending analysis of laminated composite plates using isogeometric collocation method
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