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research-article

Hybrid function-based moment method for luffing angular response of dual automobile crane system with random and interval parameters

[+] Author and Article Information
Bin Zi

School of Mechanical Engineering, Hefei University of Technology, 193 Tunxi road, Hefei 230009, China
binzi.cumt@163.com

Bin Zhou

School of Mechanical Engineering, Hefei University of Technology, 193 Tunxi road, Hefei 230009, China; Department of Mechanical Engineering, University of Maryland, Baltimore County, 1000 Hilltop Circle, Baltimore, MD 21250, USA
zhoubin13865923505@163.com

Weidong Zhu

Department of Mechanical Engineering, University of Maryland, Baltimore County, 1000 Hilltop Circle, Baltimore, MD 21250, USA
wzhu@umbc.edu

Daoming Wang

School of Mechanical Engineering, Hefei University of Technology, 193 Tunxi road, Hefei 230009, China
wdm3102@126.com

1Corresponding author.

ASME doi:10.1115/1.4041967 History: Received November 27, 2017; Revised November 01, 2018

Abstract

A hybrid uncertain parameter model (HUPM) is introduced to predict the luffing angular response (LAR) field of the dual automobile cranes system (DACS) with random and interval parameters. In the model, all random parameters with specified probabilistic distributions comprise a random vector, while all interval parameters with determined bounds comprise an interval vector. A hybrid uncertain LAR equilibrium equation is established and a novel approach named the hybrid perturbation compound function-based moment method is proposed based on the HUPM. In the hybrid perturbation compound function-based moment method, the expression of LAR is developed according to the random interval perturbation compound function-based method. More, by using the random interval compound function-based moment method and the monotonic technique, the expectations and variances of the bounds for LAR are calculated. Numerical results on different uncertain cases of the DACS demonstrate the feasibility and efficiency of the proposed algorithm in comparison with the hybrid Monte Carlo method (HMCM) and the interval perturbation method (IPM). The proposed method is proved to be an effective engineering method to quantify the effects of hybrid uncertain parameters on the LAR of DACS.

Copyright (c) 2018 by ASME
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