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Research Papers

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
e-mail: 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

Weidong Zhu

Department of Mechanical Engineering,
University of Maryland,
Baltimore County, 1000 Hilltop Circle,
Baltimore, MD 21250

Daoming Wang

School of Mechanical Engineering,
Hefei University of Technology,
193 Tunxi Road,
Hefei 230009, China

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received November 27, 2017; final manuscript received November 1, 2018; published online November 28, 2018. Assoc. Editor: Eihab Abdel-Rahman.

J. Comput. Nonlinear Dynam 14(1), 011003 (Nov 28, 2018) (19 pages) Paper No: CND-17-1523; doi: 10.1115/1.4041967 History: Received November 27, 2017; Revised November 01, 2018

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 as 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. Compared with the hybrid Monte Carlo method (HMCM) and interval perturbation method (IPM), numerical results on different uncertain cases of the DACS demonstrate the feasibility and efficiency of the proposed algorithm. The proposed method is proved to be an effective engineering method to quantify the effects of hybrid uncertain parameters on the LAR of DACS.

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Figures

Grahic Jump Location
Fig. 1

Luffing system of an automobile crane

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Fig. 2

Dual automobile cranes system

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Fig. 3

Expectation of the bounds for LAR calculated by the proposed algorithm with/withoutVy

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Fig. 4

Expectation of the bounds for LAR calculated by the proposed algorithm with/without Vz

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Fig. 5

Expectation of the bounds for LAR calculated by the proposed algorithm with/without ΔDF

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Fig. 6

Expectation of the bounds for LAR calculated by the proposed algorithm with/without ΔdF

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Fig. 7

Variance of the bounds for LAR calculated by the proposed algorithm with/without Vy

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Fig. 8

Variance of the bounds for LAR calculated by the proposed algorithm with/without Vz

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Fig. 9

Variance of the bounds for LAR calculated by the proposed algorithm with/without ΔDF

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Fig. 10

Variance of the bounds for LAR calculated by the proposed algorithm with/without ΔdF

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Fig. 11

Flowchart of the HMCM for the LAR field analysis

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Fig. 12

Variances of the lower bound for the LAR field calculated by the proposed algorithm

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Fig. 13

Variances of the bounds for the LAR field calculated by the proposed algorithm for DD4

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Fig. 14

Variances of the bounds for the LAR field calculated by the proposed algorithm for DD5

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Fig. 15

Expectations of the bounds for the LAR obtained by the proposed algorithm and IPM for DD1=0∼0.01

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Fig. 16

Expectations of the bounds for the LAR obtained by the proposed algorithm and IPM for DD1=0∼0.1

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