Tuned mass damper and high static low dynamic stiffness isolator for vibration reduction of beam structure

Raei, Meysam; Dardel, Morteza

doi:10.1177/1464419319876390

Cited by 10 publications

(9 citation statements)

References 29 publications

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“…The time responses linked with Figure 13 around the resonance are displayed in Figures 13 and 14. As explained in Raei and Dardel, [ 37 ] the system under this condition experiences something like a saddle‐node bifurcation, in which it escapes the limit cycle and after a while enters it again. This behavior, repeating frequently, impairs the absorber's tuning function.…”

Section: Optimization and Resultsmentioning

confidence: 98%

“…As it was thoroughly explained in Raei and Dardel, [ 37 ] pendulum vibration absorbers have some nonlinear behavior when the pendulum oscillations go beyond 1 radian, where another group of unstable responses might exist temporarily around the resonance area.…”

Section: Optimization and Resultsmentioning

confidence: 99%

“…[ 26–33 ] The effect and comparisons of different absorbers that included TMD, nonlinear energy sink, and high static low dynamic stiffness isolator on the vibration reduction of beams and plates are studied in previous studies. [ 34–38 ] Some studies are also conducted to examine the possible ways to control vibrations in two dimensions, which is vital when equipping a structure with vibration absorbers in the real world. To satisfy this demand, these authors proposed some models of bidirectional TMDs for practical use in constructions.…”

Section: Introductionmentioning

confidence: 99%

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Pendulum vibration absorber with a nonlinear viscous damping mechanism

Fallahpasand

Dardel

Pashaei

2022

Structural Design Tall Build

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Summary Simple pendulum vibration absorbers, as one of the most common models of absorbers, experience nonlinear behaviors in the large amplitude of oscillations, and under such conditions, they are not effective enough and are more prone to lose their stability. To overcome some of these drawbacks, a complementary damping mechanism including two nonlinear elements is introduced. Alongside the ordinary linear viscous damper, a damping mechanism is also utilized to control the oscillations of the dynamic structure exposed to the excitation forces more intense than the ones considered in the optimization. In other words, they make this system more robust and stable in the face of excitations stronger than the presupposed conditions. The complementary elements of this mechanism are proposed to offer an appropriate approximation of various likely models which can be used as practical nonlinear damping mechanisms. The steady‐state solutions of the nonlinear governing equations are achieved with pinpoint precision with the help of the harmonic balance method and more precise approximations of trigonometric functions. To enhance the impacts of this mechanism, optimization is performed for a compound objective function in addition to the conventional one. This study explains how such mechanisms are capable of contributing to the higher robustness and stability of pendulum vibration absorbers under a wider range of excitation intensities. The performance of this absorber is also studied for an N‐story shear structure as a multidegree of freedom (MDOF) system.

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Section: Optimization and Resultsmentioning

confidence: 98%

Section: Optimization and Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Pendulum vibration absorber with a nonlinear viscous damping mechanism

Fallahpasand

Dardel

Pashaei

2022

Structural Design Tall Build

Self Cite

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“…2 In this regard, tuned mass dampers (TMDs) as one of the types of vibrating absorbers have widely been utilized, and various researches have been done to study their behavior. [3][4][5][6] Narrow frequency band limitation of linear absorbers push researchers to implement new absorbers such as piecewise linear vibration absorber and Nonlinear Energy Sinks (NESs). 7 NES includes a small mass which is connected to the primary system by means of a nonlinear spring.…”

Section: Introductionmentioning

confidence: 99%

Effects of bi-stable grounded nonlinear energy sink on energy dissipation of the system

Khalatbari

Jalali

Ahmadi

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part K:

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In this paper, one of the most efficient passive absorbers, called nonlinear energy sink (NES), is analytically studied. A two-degree-of-freedom system is considered which consists of a linear oscillator (LO) with a base excitation and an NES, called grounded NES (GNES), which is connected to the ground with a nonlinear spring. In this study, we proposed a new arrangement of potential elements in GNES and studied invariant manifolds of the system, as well as the energy absorption performance of the NES. The system is considered in the vicinity of 1:1 resonance to investigate the strongly modulated response (SMR). To this end, after obtaining the equations of motion, the Manevitch complex variable and multiple scale method are applied to solve the equations, analytically. Then, the slow invariant manifold (SIM) is obtained. Also, the energy dissipation ratio of the NES and the percentage of the instantaneous total energy stored in the NES are calculated via the time-amplitude diagram. The results show that when the nonlinear effect decreases, the occurrence of energy pumping is less probable. Also, when the excitation amplitude decreases, the percentage of the instantaneous total energy stored in the NES increases as well as the amount of energy dissipation.

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“…In case the use of flexible systems is directed by governing logic that is not specifically designed considering extraneous dynamical effects, negative characteristics such as undesired vibrational effects and generation of additional noise render their application questionable in the first place as they are in opposition with the benefits of the use of non-rigid systems. [1][2][3][4][5] Continuum mechanisms can be cited as a class of flexible systems in which a core mechanism is used alongside with additional appendages. While control of continuum mechanism systems considering extra appendage DOFs is potentially possible by installation of additional sensors and actuators on appendage, this often results in significant increase in control cost.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear model predictive acceleration synchronization technique for rigid-model-based tracking control of multi-DOF flexible systems

Yaqubi

Homaeinezhad

2020

Proceedings of the Institution of Mechanical Engineers, Part K:

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In this paper, the problem of stabilization and tracking control of uncertain flexible multivariable continuum mechanism systems with additional appendage considering boundedness of undesired vibrational effects are investigated. It is proposed that rather than controlling the entire dynamical system through installation of additional actuators on appendage, it is more desirable to stabilize the core system while considering undesired vibrational effect in the appendage as optimization cost. To this end, the nonlinear programming problem corresponding to a predictive control scheme is presented based on a cost defined according to magnitude of accelerations of undesired vibrations in the appendage. Stabilization of control algorithm is conducted based on demonstration of existence of feasible Lyapunov functions. Candidate Lyapunov functions are defined based on sliding functions analysis. The associated sliding functions are defined for core subsystems which correspond to degrees of freedom of dynamical system that are associated with reference signals. Undesired vibrations caused by other degrees of freedom corresponding to appendage are considered as segments of control cost in the optimization problem. To ensure the feasibility of control model in real-time applications, the control algorithm is obtained in discrete-time basis. Based on investigation of monotonically decreasing Lyapunov functions and expression of sliding functions as a combination of dynamical terms, reference inputs and control input terms, stabilizing constraints of closed-loop system are calculated. Similarly, based on combination of sliding surfaces with considered control and vibrational constraints, additional constraints for boundedness of vibrational terms in nonlinear programming problem are obtained. Numerical comparisons with a sliding control algorithm for core mechanical system and a reaching law method indicate improvements regarding reduction of undesired vibrational effects in appendage. Furthermore, regulation of appendage dynamics is conducted without installation of additional actuators, which reduces the implementation cost in comparison with a full-control scheme for core system and appendage.

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Tuned mass damper and high static low dynamic stiffness isolator for vibration reduction of beam structure

Cited by 10 publications

References 29 publications

Pendulum vibration absorber with a nonlinear viscous damping mechanism

Pendulum vibration absorber with a nonlinear viscous damping mechanism

Effects of bi-stable grounded nonlinear energy sink on energy dissipation of the system

Nonlinear model predictive acceleration synchronization technique for rigid-model-based tracking control of multi-DOF flexible systems

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