Open AccessUncertainty analysis of torque-induced bending deformations in ball screw systems
Author(s) -
Xiangsheng Gao,
Min Wang,
Liu Qi,
Tao Zan
Publication year - 2015
Publication title -
advances in mechanical engineering/advances in mechanical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.318
H-Index - 40
eISSN - 1687-8140
pISSN - 1687-8132
DOI - 10.1177/1687814015573625
Subject(s) - taylor series , ball (mathematics) , torque , mathematics , monte carlo method , bending moment , quadratic equation , control theory (sociology) , mathematical analysis , computer science , structural engineering , geometry , physics , engineering , control (management) , artificial intelligence , thermodynamics , statistics
In order to study the torque-induced bending deformation in ball screw systems with uncertain-but-bounded parameters, uncertainty analysis of torque-induced bending deformations in ball screw systems based on an numerical method combined second-order Taylor series expansion with difference of convex functions algorithm is conducted in this research. The maximum torque-induced bending deformation in ball screw systems with certain parameters is solved by modeling the ball screw as a simple Euler–Bernoulli beam. On the basis of the model, the general expression of maximum deformation of ball screw systems in terms of uncertain parameters is derived based on the second-order Taylor series expansion. Then the problem of determining bounds of the maximum deformation of uncertain systems is transformed into a series of box constrained quadratic programming problems. Box constrained quadratic programming problems are solved by difference of convex functions algorithm. The effectiveness of the analysis is validated by Monte Carlo simulation method. Through demonstration, the conclusion can be drawn that the torque-induced bending deformation in ball screw systems with uncertain-but-bounded parameters can be analyzed explicitly by the numerical method combined second-order Taylor series expansion with difference of convex functions algorithm, which offers a new approach for estimating the torque-induced bending deformation in ball screw systems