薄壁截锥壳静气动弹性响应分岔研究

石乔木; 石先杰; 李鹏; 张德春

doi:10.7638/kqdlxxb-2024.0097

欢迎来到能源电力期刊网！

English Version 期刊登录

您当前的位置：

首页 >

文章列表页 >

薄壁截锥壳静气动弹性响应分岔研究

研究论文 | 更新时间：2026-05-28

- 薄壁截锥壳静气动弹性响应分岔研究
- Bifurcation of static aeroelastic response of thin-walled truncated conical shells
- 空气动力学学报 2025年43卷第2期页码：51-59
- 作者机构：
  
  1. 西南交通大学力学与航空航天学院,成都,610031
  2. 中国工程物理研究院总体工程研究所,绵阳,621000
- 作者简介：
  
  石乔木（1999—），男，黑龙江哈尔滨人，硕士研究生，研究方向：风洞实验. E-mail：919302684@qq.com
  李鹏*（1983—），男，教授，研究方向：流固耦合振动. E-mail：lp_vib@126.com
- 基金信息：
  
  国家自然科学基金（12072298）
- DOI：10.7638/kqdlxxb-2024.0097
  中图分类号： V211.1;V211.74
- 纸质出版：2025
- 稿件说明：
移动端阅览
石乔木, 石先杰, 李鹏, 等. 薄壁截锥壳静气动弹性响应分岔研究[J]. 空气动力学学报, 2025, 43(2): 51−59.

SHI Qiaomu, SHI Xianjie, LI Peng, et al. Bifurcation of static aeroelastic response of thin-walled truncated conical shells[J]. 2025, 43(2): 51-59.
石乔木, 石先杰, 李鹏, 等. 薄壁截锥壳静气动弹性响应分岔研究[J]. 空气动力学学报, 2025, 43(2): 51−59. DOI： 10.7638/kqdlxxb-2024.0097

SHI Qiaomu, SHI Xianjie, LI Peng, et al. Bifurcation of static aeroelastic response of thin-walled truncated conical shells[J]. 2025, 43(2): 51-59. DOI： 10.7638/kqdlxxb-2024.0097.

摘要

为探究薄壳结构的气动弹性失稳问题，设计和完成了低速轴向气流中薄壁截锥壳结构的静气动弹性响应风洞实验。实验中观测到截锥壳出现了显著的非线性响应行为：随着风速的连续变化，结构呈现典型的5瓣式小幅变形向4瓣式大幅变形的突跳现象。为揭示系统出现这种非线性响应的分岔机理，基于非线性壳体变形理论，提出了截锥壳稳态气动力的简化计算模型，计算和重现了系统响应分岔过程，准确捕捉到了分岔的临界风速。结果表明，考虑结构非线性时，系统响应分岔的临界风速（非线性失稳风速）低于线性系统的失稳临界风速；系统在升、降速阶段会呈现不同的响应路径，具有复杂的全局分岔行为，这本质上是轴向稳态气流“冲击”壳体所诱发的结构非线性屈曲问题。本文研究为薄壁结构的气动弹性设计提供了重要的理论依据。

Abstract

To investigate the aeroelastic instability of thin-shell structures

this article presents a comprehensive wind tunnel experiment focusing on the static aerodynamic response of a thin-walled truncated conical shell structure subjected to low-speed axial airflow. The experiment uncovered significant nonlinear response behavior of the truncated conical shell. As the wind speed increased

the structure initially exhibited a typical small five-petal deformation

followed by an abrupt transition to a large four-petal deformation. To provide a theoretical explanation for the observed bifurcation of this nonlinear response

a simplified calculation model for the steady-state aerodynamic force of the truncated cone shell was proposed. Based on the theory of nonlinear shell deformation

the bifurcation process of the response was calculated and reproduced

accurately capturing the critical wind speed at which the bifurcation occurs. Results indicate that

when considering the geometric nonlinearity of the truncated cone shell structure

the critical speed of system response bifurcation (nonlinear instability speed) is lower than that predicted by a linear system. Furthermore

the system demonstrates different response trajectories during the acceleration and deceleration stages

characterized by complex global bifurcation characteristics. The bifurcation behavior of static aeroelastic response occurring in truncated conical shells can be attributed to the nonlinear buckling problem induced by the "impact" of axial steady-state airflow on the shell.This study provides an important theoretical basic for the aeroelastic design of thin-walled structures.

关键词

Keywords

references

HORN W, BARR G, CARTER L, et al . Recent contributions to experiments on cylindrical shell panel flutter[J ] . AIAA Journal, 1974 , 12 ( 11 ): 1481 − 1490 .

FAN C G. Study on aeroelastic nonlinear response of thin shell[D]. Chengdu: Southwest Jiaotong University, 2010 (in Chinese).

LOVE A E H. A treatise on the mathematical theory of elasticity[M]. Cambridge, England: Cambridge University Press, 1952.

CAO Z Y. Vibration theory of plate and shell[M]. Beijing: China Railway Publishing House, 1989(in Chinese).

KERBOUA Y, LAKIS A A, HMILA M . Vibration analysis of truncated conical shells subjected to flowing fluid[J ] . Applied Mathematical Modelling, 2010 , 34 ( 3 ): 791 − 809 .

RAHMANIAN M, FIROUZ-ABADI R D, CIGEROGLU E . Dynamics and stability of conical/cylindrical shells conveying subsonic compressible fluid flows with general boundary conditions[J ] . International Journal of Mechanical Sciences, 2017 , 120 : 42 − 61 .

SHI X J, ZUO P . Vibration analysis of functionally graded conical shells in thermal environment[J ] . Journal of Vibration and Shock, 2022 , 41 ( 18 ): 9 − 15,24 (in Chinese).

ZUO P, SHI X J . Vibration characteristics of a functionally graded material conical shell-annular plate combined structure under a temperature field[J ] . Journal of Harbin Engineering University, 2024 , 45 ( 4 ): 81 − 88 (in Chinese).

ZHU H L. Stress and deformation analysis of conical thin shell under the action of fluid[D]. Qinhuangdao: Yanshan University, 2006 (in Chinese).

SHULMAN Y. Vibration and flutter of cylindrical and conical shells: OSRTR-59-776 [R]. MIT, 1959.

DIXON S C , HUDSON M L. Flutter, vibration and buckling of truncated orthotropic conical shells with generalized elastic edge restraint: TN D-5759[R]. NASA, 1970.

Sabri Farhad. Aeroelastic analysis of circular cylindrical and truncated conical shells subjected to a supersonic flow[D]. Montreal, Canada: Ecole Polytechnique Montreal, 2009.

FAN C G, YANG Y R, LU L . Truncated conical shell flutter analysis by means of differential quadrature method[J ] . Journal of Vibration and Shock, 2010 , 29 ( 12 ): 200 − 205 (in Chinese).

FAN C G, YANG Y R, LU L . Limit cycle oscillation of conical shells with standing wave flutter[J ] . Journal of Southwest Jiaotong University, 2010 , 45 ( 5 ): 713 − 717 (in Chinese).

KALUGIN V T, LUTSENKO A Y, NAZAROVA D K . Aerodynamic characteristics of thin cylindrical and conical shells in the incompressible flow[J ] . Russian Aeronautics, 2018 , 61 ( 3 ): 404 − 411 .

AFSHARI H, ARIASERESHT Y, RAHIMIAN KOLOOR S S, et al. Supersonic flutter behavior of a polymeric truncated conical shell reinforced with agglomerated CNTs[J]. Waves in Random and Complex Media, 2022: 125.

DIXON S C, MISERENTINO R. Vibration and flutter tests of a pressurized thin-walled truncated conical shell: TN D-6106 [R]. NASA, 1971.

DIXON S C, HUDSON M, MISERENTINO R. Theoretical and experimental vibration and buckling results for blunt truncated conical shells with ring-supported edges: TN D-7003 [R]. NASA, 1970.

EVENSEN D, OLSON M D. Nonlinear flutter of a circular cylindrical shell in supersonic flow: TN D-4265 [R]. NASA, 1967.

ZHANG D C, YIN H, LI P, et al . On the frequency and dynamic analyses of complex cylindrical shells submerged in fluid: An axisymmetric FEM/BEM method[J ] . Ocean Engineering, 2023 , 287 : 115752 .

JING S R, ZHANG M Y. Hydromechanics[M]. Xi’an: Xi’an Jiaotong University Press, 2001(in Chinese).

ZHUANG X X. Study on buckling and post-buckling of composite stiffened plates under axial compression load[D]. Nanjing: Nanjing University of Aeronautics and Astronautics, 2009 (in Chinese).

XIA J, XU Z R, LI W W, et al . Nonlinear buckle analysis of thin-walled cylinder under inner pressure and optimization design[J ] . Industrial Technology Innovation, 2023 , 10 ( 6 ): 28 − 35 (in Chinese).

LUO S, WANG W B . Research on buckling behavior of the spherical pressure hull considering initial imperfections[J ] . Chinese Journal of Computational Mechanics, 2019 , 36 ( 4 ): 498 − 504 (in Chinese).

钱若军, 袁行飞, 谭元莉. 结构屈曲分析理论和方法[M]. 南京: 东南大学出版社, 2015.

TSIEN H S. Collected works of H. S. Tsien[M]. Beijing: Science Press, 1991(in Chinese).

浏览量

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

仿生覆羽控制固定翼无人机流动失速风洞实验

内埋弹舱流动/振动/噪声多场载荷实验

高速列车转向架区域气动噪声风洞实验研究

基于LBM方法的LAGOON起落架噪声预测与降噪方法研究

大展弦比飞行器突风响应数值计算