Abstract

The traditional mathematical model of shape memory alloy (SMA) is complicated and difficult to program in numerical analysis. The artificial neural network is a nonlinear modeling method which does not depend on the mathematical model and avoids the inevitable error in the traditional modeling method. In this paper, an optimized neural network prediction model of shape memory alloy and its application for structural vibration control are discussed. The superelastic properties of austenitic SMA wires were tested by experiments. The material property test data were taken as the training samples of the BP neural network, and a prediction model optimized by the genetic algorithm was established. By using the improved genetic algorithm, the position and quantity of the SMA wires were optimized in a three-storey spatial structure, and the dynamic response analysis of the optimal arrangement was carried out. The results show that, compared with the unoptimized neural network prediction model of SMA, the optimized prediction model is in better agreement with the test curve and has higher stability, it can well reflect the effect of loading rate on the superelastic properties of SMA, and is a high precision rate-dependent dynamic prediction model. Moreover, the BP network constitutive model is simple to use and convenient for dynamic simulation analysis of an SMA passive control structure. The controlled structure with optimized SMA wires can inhibit the structural seismic responses more effectively. However, it is not the case that the more SMA wires, the better the shock absorption effect. When SMA wires exceed a certain number, the vibration reduction effect gradually decreases. Therefore, the seismic effect can be reduced economically and effectively only when the number and location of SMA wires are properly configured. When four SMA wires are arranged, the acceptable shock absorption effect is obtained, and the sum of the structural storey drift can be reduced by 44.51%.

Highlights

  • Shape memory alloy (SMA) is a novel functional material, which has two unique properties of shape memory and super elasticity, and has the advantages of high damping, fatigue, and corrosion resistance [1–3]

  • This paper explored a novel shape memory alloy (SMA) prediction model considering loading rate and loading history via a back-propagation (BP) neural network optimized by the genetic algorithm (GA)

  • The initial weight/threshold value of the unoptimized BP neural network is randomly assigned by the system, and that of the optimized BP neural network is determined by GA

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Summary

Introduction

Shape memory alloy (SMA) is a novel functional material, which has two unique properties of shape memory and super elasticity, and has the advantages of high damping, fatigue, and corrosion resistance [1–3]. Based on the pseudoelasticity of SMA and the electrodeformation of piezoelectric transition ceramic, Zhan et al designed a novel SMA/PZT composite control device and investigated its energy dissipation performance and neural network constitutive model [12]. The gauge length is 33.5 mm, and all data are automatically collected by computer This test mainly considers the influence of the number of loading cycles, strain amplitude, loading rate, and material diameter on the stress–strain curve, energy dissipation capacity, equivalent damping ratio, and equivalent secant modulus of austenitic SMA wire. In this experiment, the loading rate was 10 mm/min, 30 mm/min, 60 m/min, 90 mm/min, and the strain amplitude was 3%, 6%, and 8%.

Test Results and Analysis
Training Sample Collection and Processing
Optimization Parameters of GA
Simulation Results and Analysis
Optimization Criteria
Optimization Control and Analysis of Spatial Structure
Objective
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