Local stress analysis of the lattice boom considering parametric uncertainty

Abstract

The lattice boom of the crane consists of slender tubes and its stability is of paramount importance. At present, most studies about stability of the lattice boom are based on certain parameters. Considering the uncertainty of the design parameters in actual design and production, the local stress of the lattice boom should be analysed with uncertainty. We propose a response surface method based on D-optimal design to simulate the relationship between each parameter and the local stress of the chord. Based on the obtained response surface function, Monte Carlo method is used to analyse the reliability of the lattice boom. The analysis results show that the uncertainty of the design parameters has a great influence on the local stress of the lattice boom. The initial imperfection factor has the greatest influence, and the interaction between the parameters is relatively small except the initial imperfection factor. The response surface method based on D-optimal design can simulate the complex model function relationship and simplify the complex model, which is highly efficient. So, it has broad application prospects in large-scale complex models.