Basis Splines to Perform Isogeometric Topology Optimisation to Design the Outline of a Bridge Pier and Evaluate the Compliance-Based Performance Index
摘要
The rapid urban development of the major cities is going through a big transition in terms of rising traffic and increasing urban needs of the people. Millions of people are flowing into the city for various reasons every day in the morning and are leaving by the evening. The use of existing roads is becoming quite congested and hence there are traffic jams wasting several hours. The need of new flyovers is obvious to accommodate smooth flow of traffic and help the businesses and employees to perform their duties. The present study is focused on the design of a bridge pier and find the layout of the material at the ultimate elastic limit. The pier is modelled using first-order basis splines and isogeometric analysis is performed to determine the nodal displacements. The code is developed using MATLAB®. Topology optimisation is performed using optimality criteria to determine the optimal distribution of material. The performance indices based on compliance are determined for the optimal layout of the material. The bridge pier is then designed using Indian standard codes to determine the steel required. Two examples of bridge pier are modelled using IDEA Statica® software and analysed. The results show that the design of the bridge pier is optimal and gives similar results with those existing in the literature.