Advances in concrete construction

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Semi-analytical stability behavior of composite concrete structures via modified non-classical theories

  • Luxin He (Beijing No. 5 Construction Engineering Group Co., Ltd.) ;
  • Mostafa Habibi (Department of Biomaterials, Saveetha Dental College and Hospital, Saveetha Institute of Medical and Technical Sciences) ;
  • Majid Khorami (UTE University, Faculty of Architecture and Urbanism, Architecture Department)
  • Received : 2023.09.10
  • Accepted : 2024.07.28
  • Published : 2024.04.25
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Abstract

Cantilever structures demonstrate diverse nonlocal effects, resulting in either stiffness hardening or dynamic softening behaviors, as various studies have indicated. This research delves into the free and forced vibration analysis of rotating nanoscale cylindrical beams and tubes under external dynamic stress, aiming to thoroughly explore the nonlocal impact from both angles. Utilizing Euler-Bernoulli and Reddy beam theories, in conjunction with higher-order tube theory and Hamilton's principle, nonlocal governing equations are derived with precise boundary conditions for both local and nonlocal behaviors. The study specifically examines two-dimensional functionally graded materials (2D-FGM), characterized by axially functionally graded (AFG) and radial porosity distributions. The resulting partial differential equations are solved using the generalized differential quadrature element method (GDQEM) and Newmark-beta procedures to acquire time-dependent results. This investigation underscores the significant influence of boundary conditions when nonlocal forces act on cantilever structures.

Keywords

References

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