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Modeling and dynamic analysis of artillery barrel-cradle structure with clearance

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Abstract

Clearance is unavoidable in artillery barrel-cradle mechanism due to the need for relative motion, and has been considered as a key factor to affect the artillery firing accuracy. Therefore, in this paper, the dynamic behaviors of artillery barrel-cradle structure are studied. The barrel-cradle structure is simplified as a variable cross-section barrel structure with two clearances, and nonlinear spring-damping model is used to describe the clearance contact force. And then, based on solving the dynamic response of such model, the clearance effects on muzzle vibration, contact force and dynamic characteristics (frequency response function and “hardening” effect) are also analyzed in detail. Furthermore, this paper also presents an improved identification algorithm which is combining the probability density derivative method and nonlinear detection to identify the clearance value. These studies can provide better understanding of clearance effects and contribute significantly to improving firing accuracy by adjusting the clearance.

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Abbreviations

A i :

Cross-sectional area

c con :

Contact damping coefficient

C pi :

i-th order modal damping

d c :

Clearance value

d 0 :

Inner diameter of barrel

d 1, d 2 :

Outer diameters of barrel

E :

Young’s elastic modulus

f contact :

Clearance contact force

G i :

i-th order gravity

I i :

Moment of inertia

k c :

Effective stiffness of clearance nonlinearity

k con :

Contact stiffness coefficient

K pi :

i-th order modal stiffness

L 1, L 2 :

Length of two equal-section beams

l c1, l c2 :

Two clearance locations

l y :

Distance to the left end (fixed end)

M pi :

i-th order modal mass

N :

Contact force index

Q t1, Q t2 :

Vibration mode vectors

x(l c, t) :

Displacement response at clearance location

x(l c, t) :

Velocity response at clearance location

Z t :

Transformation matrix of vibration mode functions

ρ :

Density

ω :

Natural frequency

φ :

Phase angle

Ωi :

Vibration mode function

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Acknowledgments

This work was supported financially by the National Natural Science Foundation of China (No. 51905422), Natural Science Basic Research Program of Shaanxi (No. 2020JQ-630), China Postdoctoral Science Foundation (No. 2020M673613XB).

Author information

Authors and Affiliations

  1. School of Printing Packaging and Digital Media, Xi’an University of Technology, Xi’an, 710048, China

    Jie Liu, Changda Wang & Bingbing Hu

  2. State Key Laboratory for Manufacturing Systems Engineering, Xi’an Jiaotong University, Xi’an, 710049, China

    Bing Li

Authors
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Correspondence to Jie Liu.

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Recommended by Editor No-cheol Park

Jie Liu received the B.S. degree in Mechanical Engineering from Chongqing University, Chongqing, China, in 2013, and the Ph.D. degree in Mechanical Engineering from Xi’an Jiaotong University, Xi’an, China, in 2018. He then joined the Xi’an University of Technology, Xi’an, where he is currently a Lecturer. His main research interests include force identification, structural vibration, fault diagnosis and nonlinear system identification.

Changda Wang obtained his B.S. degree from the School of Mechanical Engineering of Taiyuan University in 2016. He is currently studying for a M.S. in Light Industry Technology and Engineering from Xi’an University of Technology. His research interests include nonlinear dynamics, artificial intelligence and fault diagnosis.

Bingbing Hu received the M.S. degree in Mechanical Engineer from Lanzhou University of Technology, China, in 2009, and the Ph.D. degree in Mechanical Engineer from the Xi’an Jiaotong University, Xi’an, China, in 2017. His main research interests include dynamics and fault diagnosis, signal processing, and random vibration.

Bing Li received the B.S. degree in Thermal Engine and the M.S. degree in Marine Engineering from the Northwestern Polytechnical University, Xi’an, China, in 1999 and 2002, respectively, and the Ph.D. degree in Instrument Science and Technology from Xi’an Jiaotong University, Xi’an, China, in 2005. He is currently a Professor at the School of Mechanical Engineering, Xi’an Jiaotong University. His research interests include dynamics and fault diagnosis, nonlinear dynamics, interfacial wave, and wavelet finite element.

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Liu, J., Wang, C., Hu, B. et al. Modeling and dynamic analysis of artillery barrel-cradle structure with clearance. J Mech Sci Technol 35, 1357–1368 (2021). https://doi.org/10.1007/s12206-021-0302-0

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  • DOI: https://doi.org/10.1007/s12206-021-0302-0

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