Second derivatives of the flutter velocity and the optimization of aircraft structures.
Second derivatives of the flutter velocity and the optimization of aircraft structures.
复制标题
颤振速度的二阶导数与飞机结构优化。
DOI：
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发表时间：
1972
期刊：
影响因子：
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通讯作者：
K. Bhatia
中科院分区：
文献类型：
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作者：
C. S. Rudisill;K. Bhatia
导出了颤振方程特征值的二阶偏导数方程以及飞机结构颤振速度对结构参数的二阶偏导数方程。这些偏导数用于推导沿定质量超通道的投影梯度搜索的步长表达式。采用投影梯度搜索法和梯度质量搜索法和梯度速度搜索法使支撑提升面的箱梁质量最小。
Equations for the second partial derivatives of the eigenvalues of the flutter equation along with the equations for finding the second partial derivatives of the flutter velocity of an aircraft structure with respect to the structural parameters are derived. These partial derivatives are used to develop expressions for the step size in a projected gradient search along a constant mass hyperlane. A projected gradient search along with a gradient mass and a gradient velocity search is used to minimize the mass of a box beam which supports a lifting surface.