Nowadays, with the advent of vibration science, the reduction of vibrations and damaging shocks on the operation of sensitive equipment and industrial machinery has attracted many engineers and researchers. One of the most common and effective methods to isolate the system from troublesome vibrations is using a variety of passive vibration dampers. In this thesis, a viscoelastic isolator of the brand AM-002-6 was used to isolate the photographic cameras form the base vibration. Such cameras are usually mounted on vibrational structures such as airplanes and helicopters. The vibration isolator device is used to reduce vibrations and to absorb the vibrational energy from vibration sensitive systems. In this regard, first, by performing quasi-static experimental tests, the hysteresis curves of the separator are obtained under different loading conditions. Next, using the obtained data and utilizing a proper optimization function, i.e. the modified Bouc-Wen model, the separator vibrational behavior is defined and verified. Also, the effect of vertical velocity and pre-compression on the viscoelastic separator hysteresis curves is studied. Next, in order to study the dynamic behavior of the system and to observe the effect of the frequency and amplitude of the oscillation on the hysteresis curved, a series of dynamic tests were carried out with different amplitudes and frequencies. The tests showed that the viscoelastic isolator hysteresis curves depend on the amplitude and loading frequency. However, the effect of frequency of excitation is negligible at higher frequencies and in particular beyond the frequency of the resonance. In order to have a comprehensive model for the hysteresis curves in the dynamic mode, an artificial neural network (ANN) model is used to identify the system behavior. After fully identifying the separator behavior and obtaining an equivalent stiffness and damping for the viscoelastic isolator, the overall behavior of the camera head together with eight isolators are simulated using Adams software. Keywords: Viscoelastic isolator, Modified Bouc-Wen model, Hysteresis curve, Artificial neural network (ANN) model