Modern radio-engineering complexes, computers, and navigation systems placed on moving objects (aircrafts, ships, cars, etc.) may be subjected to significant pulsed and vibration mechanical loads during exploitation, such as impacts, vibrations, linear overloads, and acoustic noise. They may distort the parameters of electric signals, introduce additional errors into instrument readings, and destroy elements of equipment. Therefore, there is a need to minimize undesirable motions of these devices. An efficient way to do this is to organize passive vibration isolation of device, based on the use of inertial, elastic, dissipative, and other passive elements. The object of this study is a block of electronic devices fixed (using a system of four dampers) on a rigid platform of a supporting structure, which is subjected to translational vibrations in three mutually orthogonal directions. As a result, angular vibrations are excited in the insulated block. Mathematical modeling of the block response to external disturbances is performed in the framework of the classical theory of rigid body dynamics. A series of numerical experiments is performed to determine the response of the kinematic characteristics of insulated block to an external periodic action at different values of the stiffness coefficient and energy dissipation coefficients of dampers and different positions of the center of mass of the system. It is shown that a deviation of the position of the center of mass from that of the center of rigidity, as well as a change in the stiffness and energy dissipation coefficients of dampers within the spread of their mean values, cause a significant increase in the angular oscillations of insulated block.