Time-variant response computation of flexible multibody systems with imprecise random fields

Jingwei Meng, Yanfei Jin*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

This paper proposes a new uncertain modelling and analysis method for flexible multibody systems with imprecise random field uncertainties. The standard random field is expanded to the imprecise random field model containing the behavior of imprecise randomness with bounded statistical moments more appropriately for real engineering problems. The imprecise random field is further discretized to independent standard Gaussian random variables by using the Karhunen-Loève expansion method. The flexible multibody system is modeled by using a unified mesh of the absolute node coordinate formula. Mathematical expressions and solution procedure based on the Polynomial chaos-Legendre metamodel are developed to solve the dynamic equations of systems involving imprecise random field. Two types of evaluation indexes are effectively established by constructing the second layer polynomial chaos expansion, namely interval mean value, interval variance, mean of the upper bound, variance of the lower bound. Finally, the effectiveness of the presented method is illustrated by two numerical examples of flexible multibody systems. Especially, for complicated multibody systems, it is necessary to calculate two uncertainty evaluation indexes to study the complete dynamic behavior.

Original languageEnglish
Article number105053
JournalInternational Journal of Non-Linear Mechanics
Volume173
DOIs
Publication statusPublished - Jun 2025

Keywords

  • Flexible multibody systems
  • Hybrid uncertain analysis
  • Imprecise random fields
  • Interval parameters
  • Polynomial chaos-Legendre metamodel

Fingerprint

Dive into the research topics of 'Time-variant response computation of flexible multibody systems with imprecise random fields'. Together they form a unique fingerprint.

Cite this