On the zeros of three-DoF damped flexible systems
On the zeros of three-DoF damped flexible systems
复制标题
三自由度阻尼柔性系统的零点
DOI：
10.1016/j.jsv.2023.117698
复制
发表时间：
2023
影响因子：
4.7
通讯作者：
Awtar, Shorya
中科院分区：
文献类型：
--
作者：
Rath, Siddharth;Awtar, Shorya
在经典阻尼假设下，研究了三自由度有阻尼柔性线性时不变系统单输入单输出（SISO）传递函数中的非最小相位（NMP）零点.众所周知，当任意多自由度阻尼柔性LTI系统的所有模态留数符号相同时，对于任意的系统参数（包括模态留数、模态频率和模态阻尼比），系统动力学不出现NMP零点。然而，当所有的模态剩余符号不相同时，则需要系统参数方面的附加条件来保证消除NMP零点。本文研究了三自由度阻尼柔性LTI系统的零轨迹，给出了消除所有NMP零点的充分必要条件。这些条件可用于柔性系统的鲁棒物理设计，即，只要满足这些条件，即使当系统参数发生变化时，也保证了NMP零点的消除。
This paper presents an investigation of the non-minimum phase (NMP) zeros in the single input single output (SISO) transfer function of three-DoF (degrees of freedom) damped flexible linear time-invariant (LTI) systems under the assumption of classical damping. It is well-known that when all the modal residue signs of any multi-DoF damped flexible LTI system are the same, NMP zeros never occur in the system dynamics for any value of system parameters including modal residue, modal frequency and modal damping ratio. However, when all the modal residue signs are not the same, then additional conditions in terms of the system parameters are required to guarantee the elimination of NMP zeros. In this paper, the zero loci of a three-DoF damped flexible LTI system are developed to derive the sufficient and necessary conditions for the elimination of all NMP zeros. These conditions can be employed in the robust physical design of flexible systems, i.e., as long as these conditions are satisfied, the elimination of NMP zeros is guaranteed even when the system parameters undergo variations.