Tuned inerter dampers for civil structures subjected to earthquake ground motions: optimum design and seismic performance

Inerter-based structural vibration control: A state-of-the-art review

Damping enhancement principle of inerter system

Vibration mitigation of stay cables using electromagnetic inertial mass dampers: Full-scale experiment and analysis

A generalized 2-DOF model for optimal design of MDOF structures controlled by Tuned Mass Damper Inerter (TMDI)

Exact H2 optimal solutions to inerter‐based isolation systems for building structures

Nonlinear primary resonance in vibration control of cable-stayed beam with time delay feedback

The paper presents time-delayed feedback control to reduce the nonlinear resonant vibration of a piezoelectric elastic beam.a#13; Specially, we examine three single-input linear time-delayed feedback control methodologies: displacement, velocity anda#13; acceleration time-delayed feedback. Moreover, the multi-input time-delayed feedback control methodologies are discussed. Utilizinga#13; the method of multiple scales, the modulation equation and the first order approximations of the primary resonances are derived and the effect of time delay on the resonances is analyzed. Then the effect of time delays and control gains on the stability, amplitude,a#13; frequency-response behavior, peak amplitude, critical excitation amplitude are investigated. Optimal values of the controllers gainsa#13; and delay are obtained, simulated, and compared. The time-delayed feedback control acts as a vibration absorber at specific values of time delay. On the other hand, using using mixed delay feedback controllers demonstrates an excellent improvement in mitigating the first-mode vibration.

Vibration control for the nonlinear resonant response of a piezoelectric elastic beam via time-delayed feedback

The time-delayed displacement feedback control is provided to restrain the superharmonic and subharmonic response of the elastic support beams. The nonlinear equations of the controlled elastic beam are obtained with the help of the Euler–Bernoulli beam principle and time-delayed feedback control strategy. Based on Galerkin method, the discrete nonlinear time-delayed equations are derived. Using the multiscale method, the first-order approximate solutions and stability conditions of three superharmonic and 1/3 subharmonic resonance response on controlled beams are derived. The influence of time-delayed parameters and control gain are obtained. The results show that the time-delayed displacement feedback control can effectively suppress the superharmonic and subharmonic resonance response. Selecting reasonably the time-delayed quantity and control gain can avoid the resonance region and unstable multi-solutions and improve the efficiency of the vibration control. Furthermore, with the purpose of suppressing the amplitude peak and governing the resonance stability, appropriate feedback gain and time delay are derived.

Time-Delayed Feedback Control of Piezoelectric Elastic Beams under Superharmonic and Subharmonic Excitations

The paper uses the modified couple stress theory to study the free vibration model of bimodular microbeams with an elastic foundation. Microbeams behave differently in the tension and compression zones due to the bimodular property, and the neutral layer depends on the sign of the bending moment. By figuring out the effective strain formula and applying Hamilton’s principle, the governing equation for free vibration can then be derived. The equation takes into account the size effect, the foundation parameters, and the bimodular property’s effects. Using the differential quadrature method, it is examined how the foundation parameters and the material length scale parameters affect free vibration. The findings indicate that frequency increases as parameter size increases.

Jian Peng

Papers

Exact H2 optimal solutions to inerter‐based isolation systems for building structures

Nonlinear primary resonance in vibration control of cable-stayed beam with time delay feedback

Vibration control for the nonlinear resonant response of a piezoelectric elastic beam via time-delayed feedback

Time-Delayed Feedback Control of Piezoelectric Elastic Beams under Superharmonic and Subharmonic Excitations

Bimodular Microbeams Based on the Elastic Foundation: Free Vibration