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Studies on the dynamic characteristics of the bolted boom in a plant protection machine

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Abstract

The retractable spray boom is one of the key components in a plant protection machine, which is assembled from beams of different length held together with bolting. In order to determine the dynamic characteristics of the bolted boom in a plant protection machine, the reduced order model of the bolted boom with a four-parameter Iwan model was established and confirmed by experiments. Based on the static and dynamic characteristics of the bolted boom, it is indicated that the boom with the Iwan element shows a stronger damping and higher frequency. The influence of the system parameters on the amplitude of the steady-state responses in output points was also explored, which shows the interplay among the excitation force, the parameters of the Iwan element and the linear modal damping ratio. The work provides a deeper insight into the more detailed response characteristics of the bolted boom in plant protection machines.

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Abbreviations

D r :

Whole energy consumed in one steady period

F :

Reaction force

F e :

External load vector

\(\tilde{F}_{e}\) :

Reduced external load vectors

F j :

Restoring force

F j :

Reduced restoring force and

F s :

Restoring force at the macro slip

K T :

Stiffness at the begin of micro slip

M, C, K :

The mass, damping and stiffness matrices of the model

\(\tilde{M},\tilde{C},\tilde{K}\) :

The mass, damping and stiffness matrices of the reduced system

N:

Number of chosen amplitudes

p :

Working pressure

q :

Effective flow rate

ü, \(\dot{u}\), u :

Total acceleration, velocity and displacement vectors

ũ :

Reduced displacement vector

ũ B :

Reduced displacement vectors of boundary DOFs

ũ1 :

Reduced displacement vectors of internal DOFs

Ψ :

Transformation matrices

α :

Amplitude level

β :

Controlling the shape of the hysteresis loop

χ :

Energy dissipation related parameter

ϕ r :

Mode shape of the r-th

ω r :

Modal frequency

ξ r :

The r-th modal damping ratio

ξ 0r :

Linear modal damping ratio

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Acknowledgments

This work is supported by the vital item of Educational Commission of Henan Province (Grant No. 23A470015), China.

Author information

Authors and Affiliations

  1. School of Information Engineering, Nanyang Institute of Technology, Nanyang, China

    Lei Yang

  2. School of Aerospace, Mechanical and Mechatronic Engineering, The University of Sydney, Sydney, Australia

    Yupeng Jin

  3. School of Intelligent Manufacturing, Nanyang Institute of Technology, Nanyang, China

    Tang Chuansheng & Shunzeng Wang

Authors
  1. Lei Yang
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  2. Yupeng Jin
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  3. Tang Chuansheng
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  4. Shunzeng Wang
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Corresponding author

Correspondence to Shunzeng Wang.

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Conflict of interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Shunzeng Wang is an Associate Professor of the School of Intelligent Manufacturing, Nanyang Institute of Technology, Nanyang, China. He received his Ph.D. in Mechanics from Xi’an Jiaotong University. His research interests include nonlinear dynamics and control, rotor dynamics, agricultural machinery and discontinuous system.

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Yang, L., Jin, Y., Chuansheng, T. et al. Studies on the dynamic characteristics of the bolted boom in a plant protection machine. J Mech Sci Technol 37, 2781–2793 (2023). https://doi.org/10.1007/s12206-023-0506-6

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  • DOI: https://doi.org/10.1007/s12206-023-0506-6

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