Mechanic of Advanced and Smart Materials
Quarterly

Numerical Solution and Analysis of Rectangular Plate Flutter Threshold in Supersonic Flow Considering the Effect of Aerodynamic Damping

Document Type : Original Article

Authors

mehran samadi
mostafa nazemizadeh
mohamad mahdi mohamadi

Faculty of mechanics, malek ashtar university, isfahan, iran

10.61186/masm.2026.2072190.1169
Abstract
This paper investigates the effect of aerodynamic damping on the flutter threshold of a rectangular aluminum sheet in supersonic flow. Using matrix form of DQM and the first-order piston theory, this paper increses the accuracy and speed of the solution. Using the difference of squares method (DQM), two different scenarios of the first-order piston theory are analyzed: a simplified case without damping and a full case with damping. The results show that the flutter threshold occurs at Mach 3.395 in both cases, indicating that aerodynamic damping has no effect on the flutter velocity. This finding is confirmed by parametric sensitivity analysis. Accordingly, the simplified formulation of the piston theory is proposed as a computational basis for future studies. This method has computational advantages such as reduced computational time and is suitable for practical applications in the design of aerospace panels. this method can be a benchmark for future flutter researches.

Keywords

Flutter speed
Ultrasonic flow
Piston theory
DQM numerical method
CFCF boundary conditions
Mechanic of Advanced and Smart Materials
Volume 5, Issue 1
Spring 2025
Pages 113-131

  • Receive Date 19 September 2025
  • Revise Date 23 December 2025
  • Accept Date 02 May 2026

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