Optimum inelastic tuned mass dampers without using viscous elements for minimizing steady-state vibration of base-excited systems

Abstract

A special type of a tuned mass damper, which consists of a mass and an elasto-plastic spring without using any viscous damper, is used to reduce the steady-state response of structures to base excitation. Previous work of the authors showed that the elasto-plastic tuned mass damper (P-TMD) could help reduce the seismic responses, and a method based on energy equalization was proposed to design it. In this study, the effectiveness of the P-TMD is investigated under harmonic support motion, and a direct approach is developed to find its optimum parameters. To estimate the nonlinear steady-state response of P-TMD-controlled systems, an analytical framework is established using the Fourier series approximation, which is validated by direct numerical integration of the equations of motion. The obtained results for the optimum P-TMD are discussed and compared with those of the optimum elastic tuned mass damper.

Keywords

Tuned mass damper inelastic behavior passive control steady-state response optimization

Get full access to this article

View all access options for this article.

References

Aly

(2014) Proposed robust tuned mass damper for response mitigation in buildings exposed to multidirectional wind. The Structural Design of Tall and Special Buildings 23(9): 664–691.

Araz

(2020) Effect of detuning conditions on the performance of non-traditional tuned mass dampers under external excitation. Archive of Applied Mechanics 90(3): 523–532.

Bagheri

Rahmani-Dabbagh

(2018) Seismic response control with inelastic tuned mass dampers. Engineering Structures 172: 712–722.

Bakre

Jangid

(2007) Optimum parameters of tuned mass damper for damped main system. Structural Control and Health Monitoring 14(3): 448–470.

Caughey

(1960) Sinusoidal excitation of a system with bilinear hysteresis. Journal of Applied Mechanics 27(4): 640–643.

Chung

L-L

L-Y

Yang

C-SW

, et al. (2013) Optimal design formulas for viscous tuned mass dampers in wind-excited structures. Structural Control and Health Monitoring 20(3): 320–336.

De Domenico

Ricciardi

(2018) Optimal design and seismic performance of tuned mass damper inerter for structures with nonlinear base isolation systems. Earthquake Engineering and Structural Dynamics 47(12): 2539–2560.

De Domenico

Ricciardi

(2019) Earthquake protection of structures with nonlinear viscous dampers optimized through an energy-based stochastic approach. Engineering Structures 179: 523–539.

Den Hartog

(1956) Mechanical Vibrations. 4th edition. New York: McGraw-Hill.

10.

Farshi

Assadi

(2011) Development of a chaotic nonlinear tuned mass damper for optimal vibration response. Communications in Nonlinear Science and Numerical Simulation 16(11): 4514–4523.

11.

Greco

Marano

(2013) Optimum design of tuned mass dampers by displacement and energy perspectives. Soil Dynamics and Earthquake Engineering 49: 243–253.

12.

Jaiswal

Chaudhari

Madankar

(2008) Elasto-plastic tuned mass damper for controlling seismic responses of structures. In: Proceeding of the 14th world conference on earthquake engineering, Beijing, China, 12–17 October 2008. Beijing: 14WCEE.

13.

Jiang

SCM

Markle

, et al. (2019) Design and control performance of a frictional tuned mass damper with bearing-shaft assemblies. Journal of Vibration and Control 25(12): 1812–1822.

14.

Kikuchi

Black

Aiken

(2008) On the response of yielding seismically isolated structures. Earthquake Engineering and Structural Dynamics 37(5): 659–679.

15.

Kim

S-Y

Lee

C-H

(2020) Analysis and optimization of multiple tuned mass dampers with coulomb dry friction. Engineering Structures 209: 110011.

16.

Kwok

KCS

Samali

(1995) Performance of tuned mass dampers under wind loads. Engineering Structures 17(9): 655–667.

17.

Cui

(2017) Novel design approach of a nonlinear tuned mass damper with duffing stiffness. Journal of Engineering Mechanics 143(4): 04017004.

18.

Miranda

(2012) System intrinsic, damping maximized, tuned mass dampers for seismic applications. Structural Control and Health Monitoring 19(3): 405–416.

19.

Mrabet

Guedri

Ichchou

, et al. (2018) A new reliability based optimization of tuned mass damper parameters using energy approach. Journal of Vibration and Control 24(1): 153–170.

20.

Rudinger

(2007) Tuned mass damper with nonlinear viscous damping. Journal of Sound and Vibration 300(3–5): 932–948.

21.

Sadek

Mohraz

Taylor

, et al. (1997) A method of estimating the parameters of tuned mass dampers for seismic applications. Earthquake Engineering and Structural Dynamics 26(6): 617–635.

22.

Tsai

H-C

Lin

G-C

(1993) Optimum tuned-mass dampers for minimizing steady-state response of support-excited and damped systems. Earthquake Engineering and Structural Dynamics 22(11): 957–973.

23.

Wang

(2011) Feasibility study of nonlinear tuned mass damper for machining chatter suppression. Journal of Sound and Vibration 330(9): 1917–1930.

24.

Warburton

(1982) Optimum absorber parameters for various combinations of response and excitation parameters. Earthquake Engineering and Structural Dynamics 10(3): 381–401.

Supplementary Material

Please find the following supplemental material available below.

For Open Access articles published under a Creative Commons License, all supplemental material carries the same license as the article it is associated with.

For non-Open Access articles published, all supplemental material carries a non-exclusive license, and permission requests for re-use of supplemental material or any part of supplemental material shall be sent directly to the copyright owner as specified in the copyright notice associated with the article.

0.00 MB

0.50 MB