Vibration attenuation characteristics of finite locally resonant meta beam: Theory and experiments

Dynamic vibration absorbers are of utmost importance in civil and mechanical engineering applications; however, their intricate mechanisms are always challenging for practical realization. This paper investigates the vibration suppression characteristics of a base-excited cantilever beam having a series of lumped masses and spring-mass resonator systems. Both analytical and experimental investigations are carried out to compare the transmittance of the dynamic displacement response of the entire system. In the analytical method, a single unit cell comprises an Euler Bernoulli beam attached by a lumped mass and a spring-mass resonator (SMR) system. The transfer matrix method establishes the force-displacement relationship between each unit cell. Furthermore, experiments were conducted by applying a monochromatic frequency to the beam and detecting transmitted vibrations at the beam and SMR systems. The experimental results are validated with the analytical results, providing essential confidence in our proposed methodology. Moreover, several parametric studies were also conducted to obtain the rationale for the variation in the number and location of SMR systems in the vibration characteristics of the entire system.

Automated summary

This paper investigates the vibration suppression characteristics of a base-excited cantilever beam with a series of lumped masses and spring-mass resonator systems. Both analytical and experimental investigations were conducted to compare the transmittance of the dynamic displacement response of the entire system. The results show the validity of the proposed methodology and provide insights into the influence of the number and location of the spring-mass resonator systems on the vibration characteristics of the system.