Free vibration analysis of sandwich structure via point interpolation meshfree method based on polynomial basic function

Abstract

The stability of circular and annular sector plate structures under aerodynamic pressure in supersonic conditions is crucial for aircraft components. Conventional uniform materials lead to heavy structures, which are undesirable for aircraft. This study explores the use of functionally graded materials to enhance flutter stability. It employs a refined logarithmic shear deformation theory to describe plate displacement, classical elasticity theory for constitutive equations, and Hamilton’s principle for equations of motion. Two methods, finite element, and Meshfree radial point interpolation, are used to solve these equations and verify the results. Parameter studies are conducted to assess the effects of grading index, Biot’s coefficient, span angle, and geometrical aspect ratio, revealing unexpected adverse effects of grading material on stability.

Keywords:

• MD-FG
• poroelastic system
• circular/annular sector plate
• supersonic airflow
• flutter phenomenon

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by Sichuan Province Luzhou city of Stars science and technology planning project (2022-GYF-6), scientific research and innovation team construction project of Luzhou vocational and Technical College (2021YJTD07).