Response sensitivity studies of a cable-stayed bridge with shape memory alloy damping system considering temperature effects

Abstract

This paper presents response sensitivity analyses of a cable-stayed bridge equipped with shape memory alloy (SMA) damping devices considering environmental temperature changes. The devices consist of an SMA-based damping brace (SMA-DB) system. An SMA constitutive model is extended to the SMA-DB to consider energy dissipation, rate dependencies, temperature effects, and asymmetry between tension and compression. Based on the direct differentiation method (DDM), an accurate and efficient sensitivity analysis algorithm is derived for the SMA-DB model. The methods of response and response sensitivity analyses are implemented in an open system for earthquake engineering simulation platform, OpenSees, for being used in various problems in civil engineering. A cable-stayed bridge in Shandong Binzhou Yellow River Highway is employed as an application example to verify the newly developed methods. Four SMA-DB components between piers and beams are added to the original finite element bridge model, and the seismic response and response sensitivity analyses are performed to study the complex behaviors of the cable-stayed bridge, e.g., the effect of SMA-DB on the energy dissipation, the changes of responses and response sensitivities due to the temperature change, the relative importance of various parameters on the system responses. The paper provides valuable references for seismic response studies of a cable-stayed bridge with the SMA-DB system.