In this paper, a controlled oscillation using the levitation mass method (LMM) for material
with nonlinear viscoelasticity is proposed. Since LMM is a very accurate and efficient method of
measuring a varying force, it has a possibility to apply to the material tester. For LMM, system
identification process is introduced to grasp the nonlinear components of the restoring force. The
process consists of the experiment and frequency analysis for higher modes which originate for the
nonlinear restoring force. The input signal is then derived based on the identification results. By
adding the proposed identification process to LMM, the arbitrary waveform of the force can be
investigated even in the open-loop excitation. The effectiveness of the proposed oscillation method is
verified through the LMM-based experiments.