Abstract
All structures built within known seismically active regions are typically designed to endure earthquake forces. Despite advances in earthquake resistant structures, it can be inferred from hindsight that no structure is entirely immune to damage from earthquakes. Active vibration control systems, unlike the traditional methods which enlarge beams and columns, are highly effective countermeasures to reduce the effects of earthquake loading on a structure. It requires fast computation of nonlinear structural analysis in near time and has historically demanded advanced programming hosted on powerful computers. This research aims to develop a new approach for active vibration control of frames, which is applicable over both elastic and plastic material behavior. In this study, the Force Analogy Method (FAM), which is based on Hook’s Law is further extended using the Timoshenko element which considers shear deformations to increase the reliability and accuracy of the controller. The proposed algorithm is applied to a 2D portal frame equipped with linear actuator, which is designed based on full state Linear Quadratic Regulator (LQR). For comparison purposes, the portal frame is analysed by both the Euler Bernoulli and Timoshenko element respectively. The results clearly demonstrate the superiority of the Timoshenko element over Euler Bernoulli for application in nonlinear analysis.
Highlights
Smart structures are those structures equipped with sensors and computers, which enable them to sense the environmental dynamic loadings such as earthquakes
Separately show the two end plastic hinges results for one element. It is shown in the previous study that the results of the analysis based on the Timoshenko (TS), and the Euler Bernoulli (EB) elements are not similar
A numerical 2D portal frame is equipped with an actuator is subjected to the 1940 El-Centro earthquake
Summary
Smart structures are those structures equipped with sensors and computers, which enable them to sense the environmental dynamic loadings such as earthquakes Additional devices such as actuators along with installed sensors help structures to modify their behavior in real time and bear more loads [1]. It is worth nothing that in the past thirty years, the interest on integrating actuators with structures to provide controlled forces to compensate applied external loads and minimize structural responses have increased [3]. All of these structures required a suitable algorithm to determine the magnitude of the required forces to reduce the structural response in real time. As a result the response of the structure is minimized in this system [4]
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