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应用频率的摄动法,本文得到了任意迎角二维平板机翼的超声速和高超声速俯仰振动导数。该导数是由包括直到缩减频率的五阶项所组成的。数值结果表明高阶项的贡献在较低马赫数或大迎角情况下是很重要的。作为平均迎角趋于零的特殊情况,本文的数值结果与超声速线化的位流理论是一致的,在高超声速情况与活塞理论一致。
In this paper, the supersonic and hypersonic pitching vibration derivatives of a 2-D flat-panel wing at any angle of attack are obtained by using the perturbation method of frequency. The derivative is composed of fifth-order terms including up to the reduced frequency. Numerical results show that the contribution of higher order terms is important at lower Mach numbers or high angles of attack. As a special case where the average attack angle tends to zero, the numerical results in this paper are consistent with the supersonic linearized bit stream theory, which is consistent with the piston theory at high supersonic speeds.