Enhanced suppression of vibrational wave transmission in structures with periodically attached absorbers exploiting amplitude magnification mechanisms

Large-span spatial structures can exhibit excessive vibrations caused by dynamic loads. Different types of vibration suppression devices have been proposed and there has been much research on the optimization and improvement of traditional dynamic vibration absorbers. Nevertheless, it is still of great significance to develop ways of comprehensively improving the working capacity of vibration suppression devices. This article proposes a design idea where an amplitude magnification mechanism is used to enhance significantly the working capacity of the vibration suppression device. The proposed amplification of the amplitude can not only strengthen the inertia of the vibration suppression device, but also simultaneously enhance its damping and stiffness characteristics. In-depth analysis is carried out, revealing the relationship between the amplitude magnification factor and the working capacity of the vibration suppression device, and providing important design guidelines of the vibration suppression device. From the perspective of controlling the propagation characteristics of bending vibration waves in structures, a beam attached with the proposed periodically arranged vibration suppression devices with amplitude magnification effect is taken as an example. The energy band structure and vibration transmission characteristics are investigated using the energy method, and the reliability of the proposed model is verified from the energy band structure perspective through the finite element method. The results reveal that the working capacity of the vibration suppression device is increased by α² times when the amplitude is amplified by α times. Consequently, the attenuation ability of the vibration wave in the bandgap is significantly enhanced. On this basis, the principles of anti-resonance and dynamic vibration absorption are combined to design a new type of vibration suppression device with an amplitude magnification effect, achieving ultra-wideband vibration reduction.