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Closed form expressions for H2 optimal control of negative stiffness and inerter-based dampers for damped structures by Naqeeb Ul Islam; R.S. Jangid is a Engineering article available to read on EtoBox.

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This study presents the H 2 optimal control of negative stiffness and inerter-based dampers as supplemental dampers to a damped single degree of freedom system (SDOF). In total, five different negative stiffness and inerter combinations have been studied, viz., a negative stiffness damper (NSD), three negative stiffness inerter dampers (NSIDs) and a tuned inerter damper (TID). NSIDs are novel energy dissipation devices consisting of negative stiffness dampers (NSD) and inerter mechanisms. H 2 optimal control minimises the root mean square (RMS) of structural response under random/stochastic excitations. The ground acceleration excitation is modelled as a stationary random white noise process. The equations of motion for the SDOF system with different supplemental dampers are written in a state space form, and corresponding closed-form expressions for the optimal parameters are arrived at. The closed-form expressions for NSD, NSIDs and TID are arrived at by a twostage process: First, by using the numerical search technique for calculating the minima of the H 2 norm. Second, using the results of the corresponding numerical search, a sequence of fitting curve schemes is employed to ar

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Author

Naqeeb Ul Islam; R.S. Jangid

Publisher

Elsevier BV

Published

2023

Language

EN

Field

Engineering (Physical Sciences)