Mechanic of Advanced and Smart Materials
Quarterly

Aerodynamic modeling and calculating the flutter speed of a rectangular plate in supersonic air flow

Document Type : Original Article

Authors

mostafa nazemizadeh 1
mehran Samadi Foroushan 2
mohamad mehdi mohammadi ghanaghestani 3

1 Faculty of mechanics, malek ashtar university, isfahan, iran

2 MSc student, Department of Mechanical Engineering, Faculty of Mechanics, Malek Ashtar University of Technology, Isfahan, Iran

3 Faculty of mechanics, Malek ashtar university of technology, iran

https://doi.org/10.61186/masm.3.2.194
Abstract
The presented paper investigates the flutter phenomenon in a rectangular-shaped plate in supersonic air flow. First, the phenomenon of flutter and its identification method based on the analysis of eigenvalues are presented. Then, using the assumptions of Kirchhoff plate, the plate motion equation is derived and coupled with the first-order piston aerodynamic model. Next, the coupled structure-fluid equation is solved in matrix form using the differential quadrature method (DQM). Using the DQM numerical method in matrix form provides advantages such as high accuracy for solving the flutter problem. The obtained results show that the first phenomenon of flutter in an aluminum plate with a length and width of 1 meter and a thickness of 5 mm with clamped-free-clamped-free boundary conditions occurs in dimensionless dynamic pressure 617 (equivalent to Mach 3.395). The presented formulation can be used as a benchmark for solving and calculating the flutter speed of various objects in the supersonic air flow.

Keywords

Flutter speed
Ultrasonic flow
Piston theory
DQM numerical method
CFCF boundary conditions
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Mechanic of Advanced and Smart Materials
Volume 3, Issue 2
Summer 2023
Pages 194-215

  • Receive Date 12 August 2023
  • Revise Date 21 August 2023
  • Accept Date 13 September 2023

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