access icon openaccess Behaviour of unimorph ring-shaped piezoelectric actuator in fluidic valve

This article focuses on the behaviour analysis of an unimorph ring-shaped piezoelectric plate that is used as an actuator in a fluidic valve. First, the system modelling is discussed by using the material mechanical properties of the piezoelectric plate and the non-piezoelectric substrate. That is, two differential equations are established for the displacements along the radial and transverse directions. After that, based on the clamped edge conditions, the transverse displacement solution is obtained as an explicit function of the applied voltage. On this basis, the analytical relationship between the transverse displacement and the applied voltage is displayed. Finally, three different voltages are applied to the ring-shaped piezoelectric plate of a fluidic valve. The measured experimental results are almost consistent to the analytical results, which illustrates the validity of the established system model.

Inspec keywords: differential equations; piezoelectric actuators; plates (structures); valves

Other keywords: nonpiezoelectric substrate; differential equations; actuator; displacements; unimorph ring-shaped piezoelectric plate; transverse directions; system modelling; behaviour analysis; established system model; transverse displacement solution; material mechanical properties; clamped edge conditions; radial directions; fluidic valve; applied voltage

Subjects: Numerical approximation and analysis; Piezoelectric devices; Engineering materials

References

    1. 1)
      • 13. Lee,, J.S., Jiang,, L.Z.: ‘Exact electroelastic analysis of piezoelectric laminae via state space approach’, Int. J. Solids Struct., 1996, 33, (7), pp. 977990.
    2. 2)
      • 1. Yizhi, Z., Hongyan,, T., Tianbao, L., et al: ‘A research on non-axisymmetric optimization of composite piezoelectric oscillator’, J. Ordnance Equip. Eng., 2013, 34, (5), pp. 7982(in Chinese).
    3. 3)
      • 5. Mo,, C., Wright,, R., Slaughter,, W.S., et al: ‘Behaviour of a unimorph circular piezoelectric actuator’, Smart. Mater. Struct., 2006, 15, (4), p. 1094.
    4. 4)
      • 2. Kai,, Z., Deshi,, W., Chengye,, Z.: ‘Analysis of the vibration characteristics of the fuze piezoelectric transducer's converter’, J. Ordnance Equip. Eng., 2013, 34, (11), pp. 1719(in Chinese).
    5. 5)
      • 15. Vinson,, J.R.: ‘The behaviour of thin walled structures: beams, plates, and shells’ (Kluwer Academic Publishers, Dordrecht, Netherlands, 1988).
    6. 6)
      • 10. Yao,, L., Lu,, L., Wang,, Z., et al: ‘Exact solution of multilayered piezoelectric diaphragms’, IEEE Trans. Ultrason. Ferroelectr. Freq. Control, 2003, 50, (10), pp. 12621271.
    7. 7)
      • 7. Brissaud,, M.: ‘Modelling of non-symmetric piezoelectric bimorphs’, J. Micromech. Microeng., 2004, 14, (14), p. 1507.
    8. 8)
      • 12. Heyliger,, P.: ‘Exact solutions for simply supported laminated piezoelectric plates’, J. Appl. Mech., 1997, 64, (2), pp. 299306.
    9. 9)
      • 3. Crawley,, E.F., Luis,, J.D.: ‘Use of piezoelectric actuators as elements of intelligent structures’, AIAA J., 1987, 25, (10), pp. 13731385.
    10. 10)
      • 11. Ray,, M.C., Rao,, K.M., Samanta,, B.: ‘Exact solution for static analysis of an intelligent structure under cylindrical bending’, Comput. Struct., 1993, 47, (6), pp. 10311042.
    11. 11)
      • 8. Liu,, C., Cui,, T., Zhou,, Z.: ‘Modal analysis of a unimorph piezoelectrical transducer’, Microsyst. Technol., 2003, 9, (6–7), pp. 474479.
    12. 12)
      • 4. Li,, S., Chen,, S.: ‘Analytical analysis of a circular PZT actuator for valveless micropumps’, Sens. Actuators A Phys., 2003, 104, (2), pp. 151161.
    13. 13)
      • 6. Wang,, Q., Quek,, S.T., Sun,, C.T., et al: ‘Analysis of piezoelectric coupled circular plate’, Smart. Mater. Struct., 2001, 10, (2), p. 229.
    14. 14)
      • 9. Bu,, M., Melvin,, T., Ensell,, G., et al: ‘Design and theoretical evaluation of a novel microfluidic device to be used for PCR’, J. Micromech. Microeng., 2003, 13, (4), pp. S125S130.
    15. 15)
      • 14. Chen,, W.Q., Xu,, R.Q., Ding,, H.J.: ‘On free vibration of a piezoelectric composite rectangular plate’, J. Sound Vib., 1998, 218, (4), pp. 741748.
http://iet.metastore.ingenta.com/content/journals/10.1049/joe.2018.9022
Loading

Related content

content/journals/10.1049/joe.2018.9022
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading