
截锥壳颤振分析的微分求积法
Truncated Conical Shell Flutter Analysis by Differential Quadrature Method
引入微分求积法(Differential Quadrature Method, 简称DQM)对截锥壳气动弹性方程离散,采用一阶活塞理论气动力,运用特征值分析方法求解系统的颤振临界动压。研究了半顶角、径厚比、长径比等几何参数对颤振临界动压的影响。结果表明,DQM求解截锥壳气动弹性方程具有良好的精度和计算效率,结构产生1-2阶耦合型颤振的最低临界动压对应的周向波数较大,并因几何参数而异;颤振临界动压参数随半顶角的增大而减小,随着径厚比的增大而增大,随长径比的增大而减小。
The differential quadrature method (DQM) is used to discretize aeroelastic flutter equations of the truncated conical shells. With the first-order piston theory of aerodynamic force, the critical flutter pressure is obtained by eigenvalue analysis. The parameters, semi-cone angle, radius-thickness ratio, length-radius ratio, are emphasized on the influence to critical flutter pressure. The results show that DQM has good accuracy and calculating efficiency. The circumferential wave numbers with the smallest critical pressures of 1-2 coupled flutter are different with geometric parameters. The critical flutter pressure decreases as semi-cone angle increases, rises as radius-thickness ratio increases, and decreases as length-radius ratio increases.
截锥壳 / 颤振 / 微分求积法 / 活塞理论 {{custom_keyword}} /
truncate conical shell / flutter / differential quadrature method / piston theory {{custom_keyword}} /
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