Archive of Applied Mechanics

, Volume 89, Issue 1, pp 133–152 | Cite as

Magnetic-field-controlled mechanical behavior of magneto-sensitive elastomers in applications for actuator and sensor systems

  • Tatiana I. BeckerEmail author
  • Valter Böhm
  • Jhohan Chavez Vega
  • Stefan Odenbach
  • Yuriy L. Raikher
  • Klaus Zimmermann


The development of actuator and sensor systems with complex adaptive behavior and operating sensitivity is one of the actual scientific challenges. Smart materials like magneto-sensitive elastomers (MSEs) offer great potential for designing such intelligent devices, because they possess unique magnetic-field-dependent properties. The present paper deals with investigations of the free and forced vibrational behavior displayed by cantilever beams of MSEs containing magnetically soft particles in a uniform magnetic field. It is shown experimentally as well as theoretically that the first bending eigenfrequency of MSE beams depends strongly on the strength of an applied magnetic field. The proposed magneto-mechanical model is based on the vibrational dynamics of thin rods and predicts reliably the amplitude–frequency characteristics depending on the geometric configuration of the MSE and its material parameters. It is found that the vibration response of an MSE beam under kinematic excitation of its base can be modified indirectly by a magnetic field control due to the change of the vibration characteristics. As a result, the resonance can occur in different ranges of the excitation frequency. The dependencies of the amplification ratio on the excitation frequency are obtained experimentally and compared with the result provided by the theoretical model. Moreover, investigations on the potential use of the field-induced plasticity effect of MSEs in form-fit gripper applications are presented. This effect can be used to realize shape adaptable system parts. It is found that the mechanical properties of each component and its concentration within the mixture have an impact on the mechanical behavior of the whole MSE compound. Such parameters as the strength of magnetic field and geometry of the MSE sample have influence on the quality of shape adaptation. The evidence presented provides a good basis for the realization of MSE-based actuator and sensor systems with adaptable sensitivity.


Magneto-sensitive elastomer Adaptive sensor element Bending vibrations Eigenfrequency Amplification ratio Shape adaptation Field-induced plasticity 



The work is funded by the research association between the Deutsche Forschungsgemeinschaft (DFG) and the Russian Foundation for Basic Research (RFBR) within PAK907 under the projects DFG PO 2013/1-1, BE 6553/1-1 and RFBR 16-51-12001, as well as by the DFG priority program SPP 1681, projects ZI 540-17/2 and OD18/22-2.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Tatiana I. Becker
    • 1
    Email author
  • Valter Böhm
    • 1
  • Jhohan Chavez Vega
    • 1
  • Stefan Odenbach
    • 2
  • Yuriy L. Raikher
    • 3
  • Klaus Zimmermann
    • 1
  1. 1.Technical Mechanics GroupTechnische Universität IlmenauIlmenauGermany
  2. 2.Institute of Fluid MechanicsTechnische Universität DresdenDresdenGermany
  3. 3.Institute of Continuous Media MechanicsUral Branch of Russian Academy of SciencesPermRussia

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