A variational differential quadrature formulation for buckling analysis of anisogrid composite lattice conical shells

  • Yongqi LIU ,
  • Jianwei WANG ,
  • Dong DU ,
  • Guohua NIE
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  • 1.School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China
    2.Shanghai Institute of Satellite Engineering, Shanghai 200241, China
Guohua NIE, E-mail: ghnie@tongji.edu.cn

Received date: 2025-05-17

  Revised date: 2025-09-03

  Online published: 2025-10-29

Supported by

Project supported by the Shanghai Aerospace Science and Technology Innovation Foundation (No. SAST2021048)

Copyright

© Shanghai University 2025

Abstract

Anisogrid composite lattice conical shells, which exhibit varying stiffness along their cone generators, are widely used as interstage structures in aerospace applications. Buckling under axial compression represents one of the most hazardous failure modes for such structures. In this paper, the smeared stiffness method, which incorporates the effect of component torsion, is used to obtain the equivalent stiffness coefficients for composite lattice conical shells with triangular and hexagonal patterns. A unified framework based on the variational differential quadrature (VDQ) method is established, leveraging its suitability for asymptotic expansion to determine the critical buckling loads and the b-imperfection sensitivity parameter of lattice conical shells with axially varying stiffness due to rib layout. The influence of pre-buckling deformation is taken into account to enhance the accuracy of predictions on the linear buckling loads. The feasibility of the present equivalent continuum model is verified, and the differences in buckling behaviors for composite lattice conical shells with both triangular and hexagonal unit cells are numerically evaluated through the finite element (FE) simulations and the VDQ method.

Cite this article

Yongqi LIU , Jianwei WANG , Dong DU , Guohua NIE . A variational differential quadrature formulation for buckling analysis of anisogrid composite lattice conical shells[J]. Applied Mathematics and Mechanics, 2025 , 46(11) : 2155 -2176 . DOI: 10.1007/s10483-025-3310-9

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