Application of the harmonic balance method to ground moling machines operating in periodic regimes

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Abstract

A new system for ground moling has been patented by the University of Aberdeen and licensed world-wide. This new system is based on vibro-impact dynamics and offers significant advantages over existing systems in terms of penetrative capability and reduced soil disturbance. This paper describes current research into the mathematical modelling of the system. Periodic response is required to achieve the optimal penetrating conditions for the ground moling process, as this results in reduced soil penetration resistance. Therefore, there is a practical need for a robust and efficient methodology to calculate periodic responses for a wide range of operational parameters. Due to the structural complexity of a real vibro-impact moling system, the dynamic response of an idealised impact oscillator has been investigated in the first instance. This paper presents a detailed study of periodic responses of the impact oscillator under harmonic forcing using the alternating frequency-time harmonic balance method. Recommendations of how to effectively adapt the alternating frequency-time harmonic balance method for a stiff impacting system are given. (C) 2000 Elsevier Science Ltd. All rights reserved.

Original languageEnglish
Pages (from-to)2515-2525
Number of pages11
JournalChaos, Solitons & Fractals
Volume11
Issue number15
Early online date11 Sep 2000
DOIs
Publication statusPublished - Dec 2000

Keywords

  • PIECEWISE-LINEAR-OSCILLATOR
  • STABILITY
  • MOTION

Cite this

@article{31bb8a06945542f8b49ad2e150082c72,
title = "Application of the harmonic balance method to ground moling machines operating in periodic regimes",
abstract = "A new system for ground moling has been patented by the University of Aberdeen and licensed world-wide. This new system is based on vibro-impact dynamics and offers significant advantages over existing systems in terms of penetrative capability and reduced soil disturbance. This paper describes current research into the mathematical modelling of the system. Periodic response is required to achieve the optimal penetrating conditions for the ground moling process, as this results in reduced soil penetration resistance. Therefore, there is a practical need for a robust and efficient methodology to calculate periodic responses for a wide range of operational parameters. Due to the structural complexity of a real vibro-impact moling system, the dynamic response of an idealised impact oscillator has been investigated in the first instance. This paper presents a detailed study of periodic responses of the impact oscillator under harmonic forcing using the alternating frequency-time harmonic balance method. Recommendations of how to effectively adapt the alternating frequency-time harmonic balance method for a stiff impacting system are given. (C) 2000 Elsevier Science Ltd. All rights reserved.",
keywords = "PIECEWISE-LINEAR-OSCILLATOR, STABILITY, MOTION",
author = "Woo, {K C} and Rodger, {A A} and Neilson, {R D} and M Wiercigroch",
note = "The authors would like to kindly acknowledge the financial support provided by the University of Aberdeen and the Overseas Research Students Awards Scheme.",
year = "2000",
month = "12",
doi = "10.1016/S0960-0779(00)00075-8",
language = "English",
volume = "11",
pages = "2515--2525",
journal = "Chaos, Solitons & Fractals",
issn = "0960-0779",
publisher = "Elsevier Limited",
number = "15",

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TY - JOUR

T1 - Application of the harmonic balance method to ground moling machines operating in periodic regimes

AU - Woo, K C

AU - Rodger, A A

AU - Neilson, R D

AU - Wiercigroch, M

N1 - The authors would like to kindly acknowledge the financial support provided by the University of Aberdeen and the Overseas Research Students Awards Scheme.

PY - 2000/12

Y1 - 2000/12

N2 - A new system for ground moling has been patented by the University of Aberdeen and licensed world-wide. This new system is based on vibro-impact dynamics and offers significant advantages over existing systems in terms of penetrative capability and reduced soil disturbance. This paper describes current research into the mathematical modelling of the system. Periodic response is required to achieve the optimal penetrating conditions for the ground moling process, as this results in reduced soil penetration resistance. Therefore, there is a practical need for a robust and efficient methodology to calculate periodic responses for a wide range of operational parameters. Due to the structural complexity of a real vibro-impact moling system, the dynamic response of an idealised impact oscillator has been investigated in the first instance. This paper presents a detailed study of periodic responses of the impact oscillator under harmonic forcing using the alternating frequency-time harmonic balance method. Recommendations of how to effectively adapt the alternating frequency-time harmonic balance method for a stiff impacting system are given. (C) 2000 Elsevier Science Ltd. All rights reserved.

AB - A new system for ground moling has been patented by the University of Aberdeen and licensed world-wide. This new system is based on vibro-impact dynamics and offers significant advantages over existing systems in terms of penetrative capability and reduced soil disturbance. This paper describes current research into the mathematical modelling of the system. Periodic response is required to achieve the optimal penetrating conditions for the ground moling process, as this results in reduced soil penetration resistance. Therefore, there is a practical need for a robust and efficient methodology to calculate periodic responses for a wide range of operational parameters. Due to the structural complexity of a real vibro-impact moling system, the dynamic response of an idealised impact oscillator has been investigated in the first instance. This paper presents a detailed study of periodic responses of the impact oscillator under harmonic forcing using the alternating frequency-time harmonic balance method. Recommendations of how to effectively adapt the alternating frequency-time harmonic balance method for a stiff impacting system are given. (C) 2000 Elsevier Science Ltd. All rights reserved.

KW - PIECEWISE-LINEAR-OSCILLATOR

KW - STABILITY

KW - MOTION

U2 - 10.1016/S0960-0779(00)00075-8

DO - 10.1016/S0960-0779(00)00075-8

M3 - Article

VL - 11

SP - 2515

EP - 2525

JO - Chaos, Solitons & Fractals

JF - Chaos, Solitons & Fractals

SN - 0960-0779

IS - 15

ER -