The concept of the vibration reduction via position change of the
vibration absorbers was introduced in this study. A rigid body plate was
taken as the main body. Each of the four corners of the main body was
supported by a cubic spring to simulate the transverse-rotate-rotate
nonlinear vibrations. Two point-mass shock absorbers were suspended
under the body. The positions of these two absorbers could be adjusted to
achieve the best vibration reduction effect. The method of multiple scales
was used to obtain analytic solutions to this vibration system. Both analytic and numerical results were compared to verify the impacts on system vibration from positions of these two shock absorber devices. This study found that, when natural frequencies of these two shock absorbers are similar, the vibration reduction effect is better. This phenomenon often appears at the endpoint of the rigid body plate when the dual-shockabsorbers are at the same position.