NOUFERROUS METALLURGICAL EQUIPMENT

This study addresses the structural design and optimization of rail lifting units installed in the corridor of an electrolytic aluminum workshop. The design considerations include the necessity for a multi-functional crane to pass during non-centralized overhauls and the requirement to lift the units during centralized overhauls. Given the characteristics of unequal wheel spacing and asymmetric load distribution at each end beam of the crane, the maximum value principle of functional analysis is applied to determine the position of maximum bending moment and the corresponding calculation formula, providing a theoretical basis for identifying the most critical section in the design. Furthermore, by combining flexural beam stress analysis with the solution of the minimum value of a second-order nonlinear differential equation, the optimal installation positions for the two dynamic pulleys are derived. Specifically, when l/L=0.551, the deformation of beams made from the same material and with the same moment of inertia is minimized under self-weight load, effectively reducing bending fatigue damage. The calculation formulas and design methods proposed in this study offer valuable references for the design and calculation of similar structures.