Stability analysis in compliant mechanism (CM) design is of utmost
importance. From a practical point of view, a CM that is unstable is of no
significance (has no practical value). Three useful plots were considered in the
evaluation of each of the dynamic models of nine configurations of compliant
constant-force compression mechanisms (CCFCMs) for their stability
characteristics, which includes the polar plot based on the Routh-Hurwitz
stability criterion, the Bode plot, and the Nyquist diagram which considers
stability in the real frequency domain. Frequency-domain stability criterion is
very useful for determining suitable approaches to adjusting the CCFCM
parameters in order to increase its relative stability. The results obtained show
that the CCFCMs investigated do exhibit higher relative stability for higher
values of damping ratio, and for zero damping ratio, all the CCFCMs
investigated were unstable. The result also show that for the CCFCMs
investigated to be stable, damping ratio must be greater than 0.03 (ΞΎ > 0.03)
and depending on what attributes are most desirable, the CCFCM parameters
can be optimized to achieve the desired results. Nyquist criterion provides us
with suitable information concerning the absolute stability and furthermore,
can be utilized to define and ascertain the relative stability of a system.
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