Optimum tuning and damping of a dynamic vibration absorber applied to a force excited and damped primary system

Thompson, A. G.

doi:10.1016/s0022-460x(81)80176-9

Cited by 132 publications

(50 citation statements)

References 2 publications

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“…Computational graphs were presented to determine the optimal linear TMD. The tuning ratio of the linear TMD attached to a viscously damped structure was optimized by the frequency locus method (Thompson, 1981). The optimum damping ratio of the linear TMD could be found directly once the optimum tuning ratio was obtained.…”

Section: Introductionmentioning

confidence: 99%

Optimal design theories of tuned mass dampers with nonlinear viscous damping

Chung

Wu²,

Huang³

et al. 2009

Earthq. Eng. Eng. Vib.

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Optimal design theory for linear tuned mass dampers (TMD) has been thoroughly investigated, but is still under development for nonlinear TMDs. In this paper, optimization procedures in the time domain are proposed for design of a TMD with nonlinear viscous damping. A dynamic analysis of a structure implemented with a nonlinear TMD is conducted fi rst. Optimum design parameters for the nonlinear TMD are searched using an optimization method to minimize the performance index. The feasibility of the proposed optimization method is illustrated numerically by using the Taipei 101 structure implemented with TMD. The sensitivity analysis shows that the performance index is less sensitive to the damping coeffi cient than to the frequency ratio. Time history analysis is conducted using the Taipei 101 structure implemented with different TMDs under wind excitation. For both linear and nonlinear TMDs, the comfort requirements for building occupants are satisfi ed as long as the TMD is properly designed. It was found that as the damping exponent increases, the relative displacement of the TMD decreases but the damping force increases.

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Section: Introductionmentioning

confidence: 99%

Optimal design theories of tuned mass dampers with nonlinear viscous damping

Chung

Wu²,

Huang³

et al. 2009

Earthq. Eng. Eng. Vib.

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“…The complex mode method6 is applied to solve equation (2). The eigenvalues pi and eigenvectors mi of equation (2), which satisfy the following characteristic equation:…”

Section: Perturbed Solutionsmentioning

confidence: 99%

Envelope of Green's Function for Structural Response With Slightly Detuned Vibration Absorbers

Tsai

1996

Earthquake Engng. Struct. Dyn.

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Explicit forms of the modal parameters and the envelope of the Green's function for transient response of main structures equipped with vibration absorbers are derived using a perturbation technique and assuming that the natural frequency of the absorber is slightly detuned from that of the main structure. Applying these perturbation solutions, the influence of the absorber parameters on the dynamic response of main structures is investigated and the ratio of the envelope for the main mass with absorber to that without absorber is constructed to provide insight to evaluate the effectiveness of the absorber to diminish the vibrations of main structures.

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“…In addition to that, Warburton and Ayorinde proved that the time for obtaining optimum TMD parameters for complex systems, the problem may be thought as an equivalent SDOF system if its natural frequencies are well separated [28]. Thompson obtained optimum damper parameters with a locus method [24]. Warburton derived simple expressions for optimum harmonic and white noise random excitations [29].…”

Section: Introductionmentioning

confidence: 99%

Dynamic Behavior of Steel Frames With Tuned Mass Dampers

Hosseini¹,

Jouneghani²,

Rohanimanesh³

et al. 2017

Adv. Sci. Technol. Res. J.

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In this paper, the application of tuned mass damper in improving the response of structures is considered. At first, three frames of 3, 9 and 20 stories are evaluated in which time history analysis is done according to El -Straw earthquake. The maximum reduction of among the three mentioned frames belongs to a 20-stories structure in which the rate of story displacement reduction is between 25 to 45%, and this indicates that by increasing the height of the structure, the performance of tuned mass damper improved. In the second part, the effect of semi-active tuned mass damper is studied on a 10-stories frame. Studies showed that using a tuned mass damper system with viscous damper with controller force decreases the average of maximum displacement of roof story down to 39.9 % and this amount of reduction is 22.8% for semi-active tuned mass damper. Finally, the performance of tuned Single and multiple mass Damper is evaluated on a 20-stories frame, and the results show that single and multiple dampers decrease structures 'responses and the performance of tuned multiple dampers depends on the mass and frequency ratio and also concluded that the performance of tuned multiple mass dampers is reduced by transition to middle of the structure stories.

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Optimum tuning and damping of a dynamic vibration absorber applied to a force excited and damped primary system

Cited by 132 publications

References 2 publications

Optimal design theories of tuned mass dampers with nonlinear viscous damping

Optimal design theories of tuned mass dampers with nonlinear viscous damping

Envelope of Green's Function for Structural Response With Slightly Detuned Vibration Absorbers

Dynamic Behavior of Steel Frames With Tuned Mass Dampers

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