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复合材料层合板的气动热弹性分析及颤振边界控制

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研究了超声速气流中复合材料层合板的气动热弹性特性,并使用压电纤维复合材料(MFC)对层合板进行主动颤振边界控制.采用超声速活塞理论计算气动压力,并基于假设模态法与Hamilton原理建立了系统的运动微分方程.利用频域方法对结构系统的气动热弹性特性进行了分析.研究了层合板的纤维铺设角度和几何参数对临界颤振气动压力和临界屈曲温度变化的影响.采用比例反馈控制设计控制器,计算了不同增益系数下的颤振边界.研究结果表明:在不同长宽比下,铺设角度为[90°/-90°/90°]时层合板的气动热弹性稳定性最差;在纤维铺设角度为大角度时,长宽比越大,层合板的气动热弹性稳定性越好;采用比例反馈控制方法可提高系统颤振边界,但需要调整增益系数以确保控制系统的稳定性与控制性能.
Aerothermoelastic Analysis and Flutter-Boundary Control of Composite Laminated Panels
This study focuses on the aerothermoelastic characteristics of composite laminated panels with fully simply-supported boundaries in supersonic airflow,implementing macro fiber composites(MF-Cs)for active flutter-boundary control.In modeling the equation of motion,the influence of in-plane ther-mal load on transverse bending deflection is considered,and the aerodynamic pressure in supersonic airflow is calculated on the basis of supersonic piston theory.Motion differential equations of the structural system are derived from classical laminated plate theory and Hamilton's principle with the assumed mode method,then transformed into state space equations.By solving the state matrix eigenvalues,natural frequencies of the structural system are obtained.Aerothermoelastic characteristics of the laminated panel are analyzed via the frequency domain method,assessing the effects of ply angle and geometric parameters of the lami-nated panel on critical flutter aerodynamic pressure and critical buckling temperature.The proportional feedback control method is used to design the controller,and flutter boundaries of the laminated panel are computed under different control gain coefficients.Results demonstrate that the laminated panel with a ply angle of[90°/—90°/90°]exhibits the lowest aerothermoelastic stability across various aspect ratios.For larger ply angles,an increase in aspect ratio enhances the aerothermoelastic stability of the laminated pan-el.Adjusting MFC ply angles effectively increases critical flutter aerodynamic pressure.Moreover,the proportional feedback control method can significantly enhance flutter boundaries,but the control gain co-efficient requires to be adjusted to ensure stability and performance of the control system.A control gain coefficient that is too small results in weak control,while one that is too large can destabilize the structural system.

supersoniccomposite laminated panelsaerothermoelasticactive flutter-boundary con-trol

陈志洋、刘文光、成龙、陈红霞

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南昌航空大学航空制造与机械工程学院,南昌,330063

超声速 复合材料层合板 气动热弹性 主动颤振边界控制

2024

固体力学学报
中国力学学会

固体力学学报

CSTPCD北大核心
影响因子:0.605
ISSN:0254-7805
年,卷(期):2024.45(6)