 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13427 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8178
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| In English (Mech. Solids): | | 5249 |
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| << Previous article | Volume 60, Issue 6 / 2025 | Next article >> |
| Weidong Wang and Mingjun Han, "Nonlinear Flutter Characteristics of Gradient Porous Panels under Pre-stretching Displacement," Mech. Solids. 60 (6), 4879-4899 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
6 |
Pages |
4879-4899 |
| DOI |
10.1134/S0025654425603325 |
| Title |
Nonlinear Flutter Characteristics of Gradient Porous Panels under Pre-stretching Displacement |
| Author(s) |
Weidong Wang (Lanzhou University of Technology, Lanzhou, China, 2028182821@qq.com)
Mingjun Han (Lanzhou University of Technology, Lanzhou, China, hanmj5188@163.com) |
| Abstract |
Aiming at the problem of flutter and instability of supersonic panel. the nonlinear dynamic
control equation of pre-stretched porous panel is established based on Von Kármán thin plate large
deflection theory and first-order piston aerodynamic load model. The dynamic model incorporates
pre-stretching effects in functionally graded porous panels. Considering three different pore distribution modes. The Galerkin method transforms the governing equations into nonlinear systems through
chordwise integration. Stability criteria are derived via Routh-Hurwitz analysis and Hopf bifurcation
theory. Closed-form solutions for critical frequency and flutter velocity are obtained. Numerical validation is performed using fourth-order Runge-Kutta integration. Results demonstrate superior performance in symmetric distribution cases: It demonstrates the best flutter resistance, followed by asymmetric and then uniform distributions. The application of merely
pre-stretching strain results
in significant improvements in both critical flutter velocity and flutter frequency; when compared to
the non-pre-stretched condition, the pre-stretched configuration delays the system critical point
occurrence, effectively reducing flutter incidence. The pre-stretching-porosity coupling control
methodology proposed in this study, establishes a new theoretical paradigm for panel design: prioritizing symmetric porosity distribution with optimal pre-stretching strain, can effectively suppress flutter while enhancing stability performance. |
| Keywords |
Functionally graded porous panels, Hopf bifurcation, pre-stretching displacement, Flutter |
| Received |
22 June 2025 | Revised |
30 June 2025 | Accepted |
12 July 2025 |
| Link to Fulltext |
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