A force-aided lever with a preload spring is not only force-saving but also energy-saving. Therefore, it
has great potential to be applied to dry clutch actuations. However, the negative stiffness of the clutch diaphragm
spring introduces unstable dynamics which becomes more intensive due to the preload spring. In order to explore
the intensified unstability, this paper builds dynamic models for the rotating lever coupling a negative stiffness
diaphragm spring and a preload spring. The stability analysis using the Routh-Huiwitz criterion shows that the
open-loop system can never be stable due to the negative stiffness. Even if the diaphragm spring stiffness is
positive, the system is still unstable when the preload of the spring exceeds an upper limit. A proportionalintegral-
derivative (PID) closed-loop scheme addressing this problem is designed to stabilize the system. The
stability analysis for the closed-loop system shows that stable region emerges in spite of the negative stiffness; the
more the negative stiffness is, the less the allowed preload is. Further, the influences of the dimensions and PID
parameters on the stability condition are investigated. Finally, the transient dynamic responses of the system
subjected to disturbance are compared between the unstable open-loop and stabilized closed-loop systems.
LIU Fengyu (刘峰宇), CHEN Li (陈俐), FANG Chengliang (房成亮), YIN Chengliang (殷成良)
. Stability Analysis of a Force-Aided Lever Actuation System for Dry Clutches with Negative Stiffness Element[J]. Journal of Shanghai Jiaotong University(Science), 2018
, 23(2)
: 218
-226
.
DOI: 10.1007/s12204-018-1932-y
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