Cross-section optimization of tower crane lattice boom

摘要

This paper discusses the problem of cross-section optimization of tower crane lattice boom. The trapezoid cross section has been analyzed. The triangular and rectangular cross sections have also been analyzed as special cases. Total mass of the construction has been selected as the objective function. Optimization parameters have been determined by Lagrange’s multipliers method. Criterion of stress is used as the constraint function. Numerical examples are performed by usage of the obtained theoretical solutions. Those results were than compared with ones obtained by usage of finite element method based computer program. On the base of the analysis that was carried out, the recommendations are given regarding the application of trapezoid, triangular and rectangular cross sections of the lattice constructions. Keywords Lattice boom - Lagrange multipliers - Design optimization - Stress - Tower crane