Uncertainty analysis of torque-induced bending deformations in ball screw systems

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...

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Veröffentlicht in:Advances in mechanical engineering Jg. 7; H. 3; S. 1
Hauptverfasser: Xiangsheng, Gao, Min, Wang, Qi, Li, Tao, Zan
Format: Journal Article
Sprache:Englisch
Veröffentlicht: London, England SAGE Publications 01.03.2015
Sage Publications Ltd
SAGE Publishing
Schlagworte:
second-order Taylor series expansion
Ball screw
difference of convex functions algorithm
uncertainty
torque-induced bending deformation
ISSN:1687-8132, 1687-8140
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Zusammenfassung: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.
Bibliographie:SourceType-Scholarly Journals-1
ObjectType-General Information-1
content type line 14
ISSN:1687-8132
1687-8140
DOI:10.1177/1687814015573625