The base isolation systems are among the passive control devices that have been used over the last three decades to limit the seismic-induced response of structures. In this regard, the Uniform Building Code provisions (UBC) has incorporated a special section for the seismic design of base isolated structures since its 1991 edition. Due to the importance of the behavior of these structures unde...

Bridges, as an essential part of transportation system, play a special role in economy, politic and military all around the world. Serviceability of bridges is of high importance especially in emergencies, helping injured people and proportioning transportation after earthquakes. Earthquake regulation codes, normally suggest linear methods to conduct the analysis, and nonlinear analysis is bare...

In this letter, we propose an incremental abstraction method for dynamically over-approximating nonlinear systems in a bounded domain by solving sequence of linear programs, resulting affine upper and lower hyperplanes with expanding operating regions. Although the problem can be solved using single program, existing approaches suffer from computation space complexity that grows exponentially s...

Following the seminal work of Zames, input-output theory 70s acknowledged that incremental properties (e.g. gain) are relevant quantities to study in nonlinear feedback system analysis. Yet, non-incremental analysis has dominated use dissipativity control from 80s. Results connecting and scattered progress been limited. This abstract investigates whether this theoretical gap is fundamental natu...

The base isolation systems are among the passive control devices that have been used over the last three decades to limit the seismic-induced response of structures. In this regard, the Uniform Building Code provisions (UBC) has incorporated a special section for the seismic design of base isolated structures since its 1991 edition. Due to the importance of the behavior of these structures unde...

it has been pointed out the static lateral response procedure for a base-isolated structure proposed in international building code (ibc) somewhat overestimates the seismic story force. that is why in the current paper, vertical distribution of base shear over the height of isolated structures considering higher mode effects under near field earthquakes is investigated. nonlinear behavior of is...

In Iran and some other countries, elastomer bearings in seat-type bridges are used with no sole/masonry plates and there is no positive connection between superstructure and substructure. Different codes have diverse provisions regarding the coefficient of friction (μ) between elastomer bearing and superstructure/substructure and also the design strength of shear keys (Vsk). Developing a finite...

Previous results reported in the robotics literature show the relationship between time-delay control (TDC) and proportional-integral-derivative control (PID). In this paper, we show that incremental nonlinear dynamic inversion (INDI) — more familiar in the aerospace community — are in fact equivalent to TDC. This leads to a meaningful and systematic method for PI(D)-control tuning of robust no...