Optimization of cross section of mobile crane boom using lagrange multiplier's method

2nd International conference on Advances in Mechanical Engineering

Glad Stephen, J. Daniel^1 ; Banerjee, Arpan^1 ; Lahiri, Ashmita^1 ; Mehta, Ishan^1

SRM Institute of Science and Technology, Kattankulathur District, Tamil Nadu

603203, India^1

关键词: Constraint functions;    General functions;    Lagrange multipliers method;    Mobile cranes;    Objective functions;    Optimization problems;    Optimum dimensions;    Telescopic boom;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/402/1/012134/pdf
DOI  :  10.1088/1757-899X/402/1/012134

来源: IOP

【 摘 要 】

This paper discusses the optimization of cross section of telescopic boom of mobile cranes. The extruded section is taken into consideration for the optimization problem. The problem has been solved using Lagrange Multipliers method. The area of cross section of the boom has been taken as the objective function, so as to minimize the mass, whereas the constraint function has been taken as a general function of hardness and stability. The above parameters allow us to form a mathematical model for numerical analysis and thus obtain the optimum dimensions for the cross section.