Riccati传递矩阵——直接积分法及其应用

 <正> 本文在文献1,2]工作基础上,提出用Riccati传递矩阵原理建立转子支承系统的特征盘运动微分方程,并作了理论推导及实例分析。 一、特征盘运动微分方程的导出 为了一般性起见,设内、外转子的特征盘均为转子中间的某一盘,如图1所示。设从左边界传递到此特征盘的左端面为n段,从右边

A COMBINED RICCATI TRANSFER MATRIX-DIRECT INTEGRATION METHOD WITH ITS APPLICATIONS

A combined Riccati transfer matrix-direct integration method is proposed in the present paper. Its principal distinguishment with the combined transfer matrix-direct integration method is to employ the Riccati transfer matrix to derive the equations of the motion of a characteristic disk . Therefore, it has the advantages of the combined transfer matrix-direct integration method. It is better than the combined transfer matrix-direct integration method in numerical stability and its precision. It is particularly adapted to calculate the modes and the response. The present method is used to study the dynamical behavior of the rotorbearing system.The equation of the motion of the twin-spool rotorbearing system are derived and an example is given to analyse the critical speeds and modes of a twin-spool engine. The results are satisfatory to compare with those of the transfer matrix method and the combined transfer matrix-direct integration method.