Design of TMD for damped linear structures using the dual criterion of equivalent linearization method

Anh, Nguyen Dong; Nguyen, N. X.

doi:10.1016/j.ijmecsci.2013.09.014

Cited by 35 publications

(27 citation statements)

References 20 publications

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“…7 and 8 describe the comparisons of the amplitude magnification factor H. The solid line is the graph when using Eq. (14) and the dashed line is the case using the result given by Ref. [21].…”

Section: Undamped Inverted Primary Pendulum Structuresmentioning

confidence: 98%

“…The results (14) are two optimal parameters of a pendulum type DVA in the case of undamped inverted pendulum structures. These results will reduce to Den Hartog's results [3] for mass-spring structures when 1   , 0   and to Matsuhisa et al's results [17] for conventional pendulum structures when 1  .…”

Section:  mentioning

confidence: 99%

“…(16), the damped system 5a is approximately replaced by the undamped system 5b and the equation (15) becomes as follows However, the analytical solution in Eq. (14) requires an extension to damped structures because the damping always exists in real structures. In the following sections, a simple approach will be presented to design a DVA for damped inverted pendulum structures.…”

Section: An Equivalent Undamped Structurementioning

confidence: 99%

“…Using the results (14) for the equivalent undamped structure, we have 6. A pendulum type DVA installed in a damped inverted pendulum structure and an equivalent system…”

Section: Dynamic Vibration Absorber For Damped Structuresmentioning

confidence: 99%

“…Using an approximate assumption of the existence of two fixed points, Ghosh and Basu [12] presented a closed-form expression for the optimal tuning ratio of a DVA. Anh and Nguyen [13,14] suggested approximate analytical solutions for optimal parameters of a DVA based on the idea of the criteria of the equivalent linearization method. For the H 2 optimization, Asami et al [11] gave an exact solution but their solution was extremely complicated so they proposed an approximate solution for practical use.…”

Section: Introductionmentioning

confidence: 99%

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A global-local approach to the design of dynamic vibration absorber for damped inverted pendulum structures

Anh

Nguyen

2015

Vietnam J. Mech.

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In practice, an inverted pendulum can be used to model many real structures as the arms of robots, soil structures, or fluid structures. However, the study on the design of dynamic vibration absorber for inverted pendulum structures is very limited in the literature. To the best knowledge of the authors, however, there has been no study on the dynamic vibration absorber when the primary inverted pendulum structure is damped. This paper deals with the optimization problem of dynamic vibration absorber for inverted pendulum structures. Two novel findings of the present study are summarized as follows. First, the optimal parameters of dynamic vibration absorber for undamped inverted pendulum structures are given by using \(H_{\infty }\) optimization. Second, the authors suggest a so-called global-local approach to determine approximate expressions for optimal parameters of a pendulum type absorber attached to a damped inverted pendulum structure. Finally, a numerical simulation is done for an example of the articulated tower in the ocean to validate the effectiveness of the results obtained in this work.

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Section: Undamped Inverted Primary Pendulum Structuresmentioning

confidence: 98%

Section:  mentioning

confidence: 99%

Section: An Equivalent Undamped Structurementioning

confidence: 99%

“…Using the results (14) for the equivalent undamped structure, we have 6. A pendulum type DVA installed in a damped inverted pendulum structure and an equivalent system…”

Section: Dynamic Vibration Absorber For Damped Structuresmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A global-local approach to the design of dynamic vibration absorber for damped inverted pendulum structures

Anh

Nguyen

2015

Vietnam J. Mech.

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A simplified design method of tuned inerter damper for damped civil structures: Theory, validation, and application

Lai

et al. 2021

Structural Contr & Hlth

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Summary This paper reports an analytical method to obtain approximate solution for optimal design of tuned inerter damper (TID) in MDOF damped civil structures. The method is based on the equivalent linearization method which converts the mass‐stiffness‐damping system into a mass‐equivalent stiffness system and a technique which converts a modal subsystem of MDOF structure‐TID system into a equivalent SDOF system. The solution and procedures for optimal design of SDOF and MDOF systems are introduced. Following this, the proposed method is verified through comparison with the numerical search methods for SDOF system. A case study of optimal TID design for a MDOF system is given, and the results show that the proposed method is able to find the optimal damping ratio and tuning ratio of the TID to minimize the structural response.

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Optimum design of tuned mass dampers for different earthquake ground motion parameters and models

Greco

Morga

2019

Structural Design Tall Build

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Tuned mass dampers are frequently used for passive control of vibrations in civil structures subject to seismic and wind actions. Their efficiency depends on selection of their mechanical properties in relation to main system and excitation characteristics. This paper proposes an optimum design strategy of single tuned mass dampers to control vibrations of principal mode of structures excited by earthquake ground motion. The main purpose of the paper is to investigate the influence of the time modulation of earthquake excitation upon the optimal tuned mass dampers design parameters: frequency and damping ratio. The study is based on numerical analyses carried out with different stochastic models for earthquakes: a simple filtered white noise model and two time modulated filtered white noise models. The numerical analyses are carried out to solve an optimization problem with a performance index defined by the reduction of the standard deviation of either the structure displacement or its inertial acceleration as objective function. To complete the work, the influence of the bandwidth excitation over the values of the optimal tuned mass damper parameters is investigated, as well the optimum mass ratio and the structure frequency. The results of the numeral analyses carried out infer that the earthquake excitation characteristics, including its modulation in time domain, highly affect the optimum tuned mass damper design parameters values.

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Design of TMD for damped linear structures using the dual criterion of equivalent linearization method

Cited by 35 publications

References 20 publications

A global-local approach to the design of dynamic vibration absorber for damped inverted pendulum structures

A global-local approach to the design of dynamic vibration absorber for damped inverted pendulum structures

A simplified design method of tuned inerter damper for damped civil structures: Theory, validation, and application

Optimum design of tuned mass dampers for different earthquake ground motion parameters and models

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