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考虑阻尼力后,结构的特征方程应有复数根,因而通常用于求解多项式方程实数根的二分法不再适用。 The consideration of damping force leads to a fact that there exist complex roots to the characteristic equation for the structures. | ||
本文提出了对复变特征方程求根的一种系统逼近程序。 In this paper, a successive approximation procedure for calculating eigenvalues of the complex characteristic equation is proposed. | ||
用这个方法修正的刚度矩阵不仅满足特征方程,而且是唯一的对称半正定矩阵。 The stiffness matrix corrected by the method not only satisfies the characteristic equation, but also is the unique symmetric positive semidefinite matrix. | ||
方程是一病态积分方程其解很不稳定。 This equation is ill-posed and its solutions are extremely unstable. | ||
针对线性定常闭环系统特征方程的求根问题,提出了一种基于演化算法的实因式分解法。 A real factorization method based on evolutionary algorithms is proposed for finding tbe roots of the characteristic equation of a linear time-invariant closed-loop system. | ||
建立的尾流再附动力学模型包括:伞系统运动方程、尾流运动方程、伞衣-尾流动量交换方程。 The model includes three parts: equations of the motion for the parachute-store system, equations of the motion for the wake, equations of the momentum transfer between parachute and wake. | ||
本文利用特征多项式方程使得二次曲面交线的平面曲线分支的求解简化成平面与二次曲面求交问题。 The planar components and straight line components of the quadric surfaces intersections are studied precisely by means of matrix algebra in this paper. | ||
应用哈密顿原理,推导出均匀杆的纵振动方程与横振动方程。 The longitudinal and transverse vibrating equations of the homogeneous rod are deduced with Hamiltonian principle. | ||
这就是一个抛物线方程。 That is a parabola. | ||
方法差分方程理论。 METHODS Theory of difference equation. | ||