Suppression of vibration transmission in coupled systems with an inerter-based nonlinear joint

Modelling a uniaxial inerter in a 2D or 3D environment: Implications of centripetal acceleration

“…7 is a simplified version of the nonlinear inerter mechanism (NIM) quasi-zero-stiffness (QZS) isolator studied in [18]. The results obtained in this case study can be validated and further explained with comparisons to [18,19]. For example, the observed influence on the system's fundamental frequency resulting from the centripetal acceleration term is in line with the analysis in [18].…”

“…It can be seen that Eq. ( 12) is identical to the model of the oblique inerter derived in [18,19], which is a special case of Eq. ( 10), the derived general inerter model expressed in Cartesian coordinate.…”

“…9 (b&c)). It is noted that a pair of oblique inerters in nonlinear vibration isolators [18] and suppression systems [19] has been studied recently. It can be seen that Eq.…”

“…Furthermore, beneficial inerter-based absorbers have been identified for a wide range of mechanical structures, such as buildings [6,7], cables [8,9], automotive vehicles [10][11][12], railway vehicles [13,14], aircraft landing gear [15], offshore wind turbines [16] and railway pantographs [17]. There has been some recent work come out on the use of a pair of oblique inerters in nonlinear vibration isolators and suppression systems [18,19]. In addition, inerter-combined active or semiactive vibration control has also drawn interest from researchers, e.g., [20][21][22][23].…”

Preface to the special issue NODYCON 2021, Second International Nonlinear Dynamics Conference, Feb. 16–19, 2021

“…Articles in the context of Nonlinear dynamics and control include grazing-induced multi-stable responses in impacting systems via time-delayed feedback control [ 10 ], position control of an elastic arm with delay-induced bifurcations [ 11 ], nonlinear control of an absorption refrigeration system [ 12 ], vibration transmission suppression in coupled systems with an inerter-based nonlinear joint [ 13 ], tuned inerter dampers [ 14 ], and vibration isolation [ 15 ].…”