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On Stochastic Design of Negative Stiffness Integrated Tuned Mass Damper (NS-TMD)

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Abstract

Purpose

The negative stiffness integrated tuned mass damper (NS-TMD) is considered as an interesting and efficient device for passive vibration control. However, design/optimization of NS-TMD may not always lead towards robust performance if there exist uncertainties. In this study, a stochastic design of NS-TMD is proposed taking into account various types of uncertainties.

Methods

Taylor-expansion is used to perturb the objective function facilitating a stochastic design/optimization. Besides, an interval-extension is used to observe the effect of uncertainties with different intensities. The Lyapunov equation is used in the proposed design of NS-TMD by minimizing the dispersion of displacement of primary system. The present work takes into account a standard model of NS-TMD in view of wider applicability of the present study. Random vibration is considered in both the cases of: (a) base-excitation and (b) superstructure loading.

Results

A numerical investigation is further carried out to observe the consequences of uncertainties on optimum design of NS-TMD parameters for both the cases of base-excitation and superstructure loading. Efficiency of NS-TMD is compared under various levels of uncertainties. Besides, some significant earthquake records and white noise (WN) samples are utilized towards more realistic understanding on the performance of stochastic design of NS-TMD under seismic excitation with different level of uncertainties. NS-TMD appears to be effective in robustness against uncertainties in structural parameters in comparison with the frequently used TMD system.

Conclusion

The proposed methodology may be considered as a useful alternative for stochastic design of the NS-TMD under both superstructure loading and base-excitation.

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  1. Department of Civil Engineering, National Institute of Technology Silchar, Silchar, Assam, India

    Kamalesh Bhowmik & Nirmalendu Debnath

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  1. Kamalesh Bhowmik
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  2. Nirmalendu Debnath
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Correspondence to Nirmalendu Debnath.

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Bhowmik, K., Debnath, N. On Stochastic Design of Negative Stiffness Integrated Tuned Mass Damper (NS-TMD). J. Vib. Eng. Technol. 9, 2197–2211 (2021). https://doi.org/10.1007/s42417-021-00356-0

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  • DOI: https://doi.org/10.1007/s42417-021-00356-0

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