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Asymmetric structures experience torsional effects when subjected to seismic excitation. The resulting rotation will further aggravate the damage of the structure. A mathematical model is developed to study the translation and rotation response of the structure during seismic excitation. The motion equations of the structures which cover the translation and rotation are obtained by the theoretical derivations and calculations. Through the simulated computation, the translation and rotation response of the structure with the uncontrolled system, the tuned mass damper control system, and active tuned mass damper control system using linear quadratic regulator algorithm are compared to verify the effectiveness of the proposed active control system. In addition, the linear quadratic regulator and fuzzy neural network algorithm are used to the active tuned mass damper control system as a contrast group to study the response of the structure with different active control method. It can be concluded that the structure response has a significant reduction by using active tuned mass damper control system. Furthermore, it can be also found that fuzzy neural network algorithm can replace the linear quadratic regulator algorithm in an active control system. Because fuzzy neural network algorithm can control the process on an uncertain mathematical model, it has more potential in practical applications than the linear quadratic regulator control method.

Summary The shear lag effect of shear walls with flange is normally analyzed by introducing the concept of effective flange width. Therefore, it is crucial to accurately evaluate the effective flange width for tall buildings design. In this paper, based on the energy variational method, the normal stress distribution in the flange of shear walls is deduced, and the analytical solution of effective flange width in elastic stage is obtained according to the stress equivalent principle. For simplification, a parametric study on a serial T‐shaped cross‐section shear walls was conducted using finite element method in order to clarify the characteristic of effective flange width along with the loading history and the variations of shear lag effect with different parameters accordingly. Based on the numerical results, simplified formulas of the effective flange width in different loading stages are deduced for practical structure design. Moreover, the rationality of the values derived from different design codes is evaluated by comparing with simplified formulas. Copyright © 2015 John Wiley & Sons, Ltd.

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