摘要
基于Generalized-α算法,推导得出了基于co-rotational(共旋)有限元格式的三角形平板壳结构非线性动力学近似能量守恒算法,该算法在每个时间步长内使用动力学平衡方程预估-校正迭代方法来保证算法的稳定性。结合计算流体力学方法(CFD)和松耦合求解策略发展了薄壳结构非线性气动弹性求解方法。采用本文所述方法,针对Prandtl平板连接翼结构,对其在两种不同飞行条件下的瞬态响应进行了仿真。当攻角为正且动压较大时,连接翼的响应出现了三个振动平衡位置,并且达到静气动弹性平衡时其变形为弦向低头展向向下弯曲;当攻角为正且动压较小时,连接翼的振动响应只出现了一个平衡位置,且其静气动弹性变形构型为弦向低头展向向上弯曲。仿真结果表明,连接翼结构的气动弹性响应较一般单翼更为复杂,因此,在结构设计过程中需要采用高保真度的分析手段对连接翼结构的气动弹性特性进行分析。
An approximate energy conservation algorithm for nonlinear dynamic analysis of triangular flat shells based on co-rotational formulation finite element is derived from Generalized-αmethod.The numerical stability of this algorithm is satisfied by predictor-corrector iterative procedure of dynamics balance equation in each time step.Combined with computational fluid dynamics(CFD)and loose coupling algorithm,a nonlinear aeroelastic analysis process for thin shell structures is developed.The transient response of a Prandtl plane joined wing is investigated in two different flight conditions(two different dynamic pressure)based on this method.It is found that there are three balance positions in the transient response when the angle of attack is positive and dynamic pressure is large,and when static aeroelastic balance is achieved,the joined wing twists down in chord direction and bends down in span direction;when the angle of attack is positive and dynamic pressure is small,the transient response has only one balance position during vibration and the joined wing twists down in chord direction and bends up in span direction.The simulation results show that the aeroelastic transient response of joined wing is much more complicated than the monoplane,so the high-fidelity analyses should be used for the aeroelastic analysis of joined wing in the process of structure design.
作者
窦怡彬
孙文钊
樊浩
梅星磊
曾清香
DOU Yibin;SUN Wenzhao;FAN Hao;MEI Xinglei;ZENG Qingxiang(Shanghai Electro-Mechanical Engineering Institute,Shanghai 201109,China)
出处
《空天防御》
2019年第2期53-61,共9页
Air & Space Defense
关键词
连接翼
气动弹性
共旋格式
非线性动力学
近似能量守恒算法
joined wing
aeroelastic
co-rotational formulation
nonlinear dynamics
approximate energy conservation algorithm
