ISSN 1068-3712, Russian Electrical Engineering, 2017, Vol. 88, No. 6, pp. 326–330. © Allerton Press, Inc., 2017.
Original Russian Text © A.M. Abakumov, I.V. Gulyaev, D.G. Randin, 2017, published in Elektrotekhnika, 2017, No. 5, pp. 7–11.
Investigations of the Dynamic Characteristics of an Active
Vibration–Isolation System of an Object with Varying Parameters
A. M. Abakumov
*, I. V. Gulyaev
, and D. G. Randin
Samara State Technical University, Samara, 443100 Russia
Ogarev Mordovian State University, Saransk, Republic of Mordovia, 430005 Russia
Received May 16, 2016
Abstract—In modern technology, the protection of mechanical objects from vibrational effects is an import-
ant problem. The task of increasing the efficiency of a vibration–isolation system as applied to vehicles
is discussed. Operator equations that describe the movement of a single-mass system for active vibration
isolation with a controllable magnetorheological damper are presented. A mathematical model of a
closed system with negative feedback with respect to the vibration acceleration of the protected object in
the form of a block diagram is considered. A controller that provides a decrease in the vibration acceler-
ations of the protected object within a certain frequency range to a preset level is created. The possibility
of simplifying the controller without substantial losses in control quality is substantiated by comparing
the dynamic characteristics of the system. On the basis of a computer simulation, the dynamic charac-
teristics of the open- and closed-loop systems for a harmonic disturbance were investigated taking the
mass of the vibroprotected object into account. The description of the developed experimental bench for
investigating the dynamic characteristics of the vibration–isolation system is given. The frequency char-
acteristics of the active vibration–isolation system were studied. Comparison of the calculated and
experimental data testifies to the effectiveness of the developed models and the adopted assumptions.
The possibility fundamentally improving the quality of a vibration–isolation system when using the created
system is shown.
Keywords: magnetorheological damper, active vibration–isolation system, vibratory system, dynamic charac-
teristics, schematic block diagram, regulator
Some machines, such as vehicles, require protec-
tion from vibrational influences and suppression of
vibrational fields that are initiated by an object itself.
Active vibration–isolation systems (VISs) are widely
used in state-of-the-art motor transport to protect var-
ious components of automobiles. The protection of
the automobile chassis from vibrations that are trans-
ferred from the engine and road should be considered
as very important areas of work [1–3]. Such systems
are especially important for controlled suspensions of
vehicles [4–6], in which it is active VISs that allow
developers to find compromise solutions that satisfy
the contradictory requirements for the controllability
and comfort of a vehicle .
One promising trend in the field of electrical active
VISs in automobile suspensions is the use of magneto-
rheological shock absorbers as controllable damping
elements [8, 9].
In developing various algorithms for controlling an
active VIS with a magnetorheological damper (MD),
the possibilities of using optimal  and adaptive 
systems, systems with fuzzy controllers , and neu-
ral networks  have been considered.
This paper is devoted to investigations of the effi-
ciency of an active VIS with an MD under changes in
the parameters of the system, in particular, in the
A single-mass model (Fig. 1) is taken as the calcu-
lation scheme for the investigated system. This model
corresponds to the vibratory system of an automobile
for one supporting point, provided that the automobile
center of gravity is in the middle of the wheelbase and
that tires with highly rigid sides are used.
A controllable MD serves as the actuating element.
The drag force that is produced by such a damper is
controlled via changes in the current in the electro-
magnet winding, which influences the degree of vis-
cosity of the magnetorheological fluid .
The operator equations for deflections that
describe the movement of a system with a linearized