Abstract
This paper investigates the damping performance of the main structure with a concentrated mass and particle dampers at different particle filling rates and sinusoidal sweep amplitudes under the same mass ratio by means of a controlled experiment, with the concentrated mass and particle dampers attached to the free end of the cantilever beam. As the order increases, the effect becomes progressively weaker. For cantilevered beam structures, a reasonable design with only a small mass ratio of particle dampers can effectively suppress the vibration of the first order. For the second- and third-order bending vibration, particle dampers with high mass ratios show a better damping effect, and when the strength of the excitation reaches a certain value, the damping performance of the particle dampers is basically better than that of the concentrated mass under the same conditions. The reason for this is that particle damping not only dampens the vibration by tuning the mass but also dissipates the energy of the main structure by means of collisions, impacts, and friction between the particles or between the particles and the damper cavity.
Highlights
Particle damping is a passive vibration control technique where multiple auxiliary masses are placed in a cavity attached to a vibrating structure, such as sand and ball bearings
The linear attenuation reflected the particle damping effect, and the exponential attenuation corresponded to the beam damping itself, which indicated that when the vibration acceleration amplitude was lower than a certain level, the particle damping effect would be weakened
In order to compare the damping performance of concentrated mass and particle dampers, vibration tests are conducted on cantilever beam models with the above-mentioned two components rigidly fixed at the free end separately
Summary
Particle damping is a passive vibration control technique where multiple auxiliary masses are placed in a cavity attached to a vibrating structure, such as sand and ball bearings. In view of the complex particle–particle interactions, some other simplified numerical simulation methods, such as the multiphase flow theory, regression model method, restoring force surface, power input method, neural network method, and fractional derivative method, have been used to study, but there are often large errors between theoretical calculation results and experimental results This limited the guidance for the design and application of particle dampers. For particle dampers with additional mass, the literature often lacks control experiments with concentrated mass blocks of an additional equal mass ratio The difference between those two types leads to the dynamic motion of the particles, which reflects the damping effect produced by the collision and friction between the particles and between the particles and the container walls to some extent. In order to compare the damping performance of concentrated mass and particle dampers, vibration tests are conducted on cantilever beam models with the above-mentioned two components rigidly fixed at the free end separately. RMass where α is the damping effect, β is the damping advantage, RUN is the uncontrolled structural response, RMass is the additional concentrated mass structural response, and RNopd is the additional particle damping structural response
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