Nonlinear supersonic flutter study of porous 2D curved panels including graphene platelets reinforcement effect using trigonometric shear deformable finite element

Autor: Olivier Polit, M. Ganapathi, S. Shubhendu, T. Ben Zineb, S. Aditya
Přispěvatelé: Vellore Institute of Technology (VIT), Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux (LEM3), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS)-Arts et Métiers Sciences et Technologies, HESAM Université (HESAM)-HESAM Université (HESAM)
Rok vydání: 2020
Předmět:
Trigonometric shear flexible theory
Materials science
[SPI.MECA.MSMECA]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Materials and structures in mechanics [physics.class-ph]
02 engineering and technology
[SPI.MECA.SOLID]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Solid mechanics [physics.class-ph]
Curvature
Static aerodynamic load
Porous panel
Physics::Fluid Dynamics
0203 mechanical engineering
[SPI.MECA.MEMA]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of materials [physics.class-ph]
Vibration amplitudes
Supersonic speed
Graphene platelets reinforcement
Boundary value problem
Applied Mathematics
Mechanical Engineering
Flutter boundaries
Isotropy
Curved beam model
Aerodynamics
Mechanics
021001 nanoscience & nanotechnology
Finite element method
Nonlinear system
020303 mechanical engineering & transports
[SPI.MECA.STRU]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Structural mechanics [physics.class-ph]
Mechanics of Materials
Flutter
0210 nano-technology
Critical flutter speed
Zdroj: International Journal of Non-Linear Mechanics
International Journal of Non-Linear Mechanics, Elsevier, 2020, 125, pp.103543. ⟨10.1016/j.ijnonlinmec.2020.103543⟩
ISSN: 0020-7462
DOI: 10.1016/j.ijnonlinmec.2020.103543
Popis: International audience; The nonlinear panel flutter behaviour of two-dimensional porous curved panel reinforced by graphene platelets exposed to a supersonic flow is investigated. A curved beam element developed based on the trigonometric shear deformation theory is employed. The formulation integrates the geometric nonlinearity with von Karman’s approximation. The effort to model the fluid–structure interaction is reduced by implementing the first-order form of piston theory aerodynamics to describe the flow and accounting for the influence of static aerodynamic load due to the inherent geometric curvature of the panel. The nonlinear governing equations are formulated adopting the Lagrangian formulation. The panel deflection under the static aerodynamic load is evaluated using the Newton–Raphson iteration method. The flutter behaviour is analysed with reference to the large deflection equilibrium state through an eigenvalue analysis and by tracing the complex eigenvalues and identifying the first coalescence of any two vibratory modes. The flutter dynamic pressure is also predicted iteratively using the eigenvalue approach for the selected range of limit cycle amplitudes. The influence of static aerodynamic load and vibration amplitude on the flutter characteristics is brought out for both isotropic and graphene reinforced composite panels with different boundary conditions. The pre-flutter static deflection shape of the panel is also examined. The material parameters such as porosity level in the metal foam and the graphene platelet content are assessed on the nonlinear flutter features of 2D panels.
Databáze: OpenAIRE
Externí odkaz: