Static and Free Vibration Analysis of Laminated Composite Plates Using Isogeometric Approach Based on the Third Order Shear Deformation Theory | Zendy

Li Xinkang | Zendy; Zhang Jifa | Zendy; Zheng Yao | Zendy

Open Access

Static and Free Vibration Analysis of Laminated Composite Plates Using Isogeometric Approach Based on the Third Order Shear Deformation Theory

Author(s) -

Li Xinkang,

Zhang Jifa,

Zheng Yao

Publication year - 2014

Publication title -

advances in mechanical engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.318

H-Index - 40

ISSN - 1687-8132

DOI - 10.1155/2014/232019

Subject(s) - isogeometric analysis , vibration , isotropy , boundary value problem , basis function , composite number , numerical analysis , structural engineering , mathematical analysis , mathematics , materials science , finite element method , composite material , engineering , physics , quantum mechanics

Isogeometric analysis (IGA) based on nonuniform rational B-splines (NURBS) is applied for static and free vibration analysis of laminated composite plates by using the third order shear deformation theory (TSDT). TSDT requires C 1 -continuity of generalized displacements and NURBS basis functions are well-suited for this requirement. Due to the noninterpolatory nature of NURBS basis functions, a penalty method is applied to enforce the essential boundary conditions. The validity and accuracy of the present method are demonstrated through a series of numerical examples of isotropic and laminated composite plates with different shapes, boundary conditions, fiber orientations, lay-up numbers, and so forth. The obtained numerical results are compared with either the analytical solutions or other available numerical methods.

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