J4 ›› 2016, Vol. 13 ›› Issue (2): 312-323.doi: 10.1016/S1672-6529(16)60304-9

• 论文 • 上一篇    下一篇

Analysis of the Vibrissa Parametric Resonance Causing a Signal Amplification during Whisking Behaviour

Tatiana Volkova1, Igor Zeidis1, Hartmut Witte2, Manuela Schmidt3, Klaus Zimmermann1   

  1. 1. Technische Universität Ilmenau, Technical Mechanics Group, 98693 Max-Planck-Ring 12, Ilmenau, Germany
    2. Technische Universität Ilmenau, Biomechatronics Group, 98693 Max-Planck-Ring 12,Ilmenau, Germany
    3. Friedrich-Schiller-Universität Jena, Institute of Systematic Zoology and Evolutionary Biology with Phyletic Museum,07743 Erbertstraße 1, Jena, Germany
  • 收稿日期:2015-09-12 修回日期:2016-03-12 出版日期:2016-04-10 发布日期:2016-04-10
  • 通讯作者: Tatiana Volkova E-mail:tatiana.volkova@tu-ilmenau.de
  • 作者简介:Tatiana Volkova1, Igor Zeidis1, Hartmut Witte2, Manuela Schmidt3, Klaus Zimmermann1

Analysis of the Vibrissa Parametric Resonance Causing a Signal Amplification during Whisking Behaviour

Tatiana Volkova1, Igor Zeidis1, Hartmut Witte2, Manuela Schmidt3, Klaus Zimmermann1   

  1. 1. Technische Universität Ilmenau, Technical Mechanics Group, 98693 Max-Planck-Ring 12, Ilmenau, Germany
    2. Technische Universität Ilmenau, Biomechatronics Group, 98693 Max-Planck-Ring 12,Ilmenau, Germany
    3. Friedrich-Schiller-Universität Jena, Institute of Systematic Zoology and Evolutionary Biology with Phyletic Museum,07743 Erbertstraße 1, Jena, Germany
  • Received:2015-09-12 Revised:2016-03-12 Online:2016-04-10 Published:2016-04-10
  • Contact: Tatiana Volkova E-mail:tatiana.volkova@tu-ilmenau.de
  • About author:Tatiana Volkova1, Igor Zeidis1, Hartmut Witte2, Manuela Schmidt3, Klaus Zimmermann1

摘要:

The paper deals with the mechanical vibrational motion of vibrissae during natural exploratory behaviour of mammals. The theoretical analysis is based on a mechanical model of a cylindrical beam with circular natural configuration under an applied periodic force at the tip, which corresponds to the surface roughness of an investigated object. The equation of motion of the beam is studied using the Euler-Bernoulli beam theory and asymptotic methods of mechanics. It is shown that from the me-chanical point of view the phenomenon of parametric resonance of the vibrissa is possible. It means that the amplitude of forced vibrations of a vibrissa increases exponentially with time, if it is stimulated within a specific resonance frequency range, which depends on biomechanical parameters of the vibrissa. The most intense parametric resonance occurs, when the excitation fre-quency is close to the doubled natural frequency of free vibrations. Thus, it may be used to distinguish and amplify specific periodic components of a complex roughness profile during texture discrimination.

关键词: vibrissa, whisking, vibration, tactile sensor, beam theory, parametric resonance

Abstract:

The paper deals with the mechanical vibrational motion of vibrissae during natural exploratory behaviour of mammals. The theoretical analysis is based on a mechanical model of a cylindrical beam with circular natural configuration under an applied periodic force at the tip, which corresponds to the surface roughness of an investigated object. The equation of motion of the beam is studied using the Euler-Bernoulli beam theory and asymptotic methods of mechanics. It is shown that from the me-chanical point of view the phenomenon of parametric resonance of the vibrissa is possible. It means that the amplitude of forced vibrations of a vibrissa increases exponentially with time, if it is stimulated within a specific resonance frequency range, which depends on biomechanical parameters of the vibrissa. The most intense parametric resonance occurs, when the excitation fre-quency is close to the doubled natural frequency of free vibrations. Thus, it may be used to distinguish and amplify specific periodic components of a complex roughness profile during texture discrimination.

Key words: vibrissa, whisking, vibration, tactile sensor, beam theory, parametric resonance