Transverse free vibration of heated piezoelectric fibre composite materials circular plates
Received:February 02, 2016  Revised:March 18, 2016
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DOI:10.7511/jslx201703004
KeyWord:piezoelectric fibre composite materials  circular plates  free vibration  natural frequency  shooting method
     
AuthorInstitution
王硕 兰州理工大学 理学院, 兰州
滕兆春 兰州理工大学 理学院, 兰州
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Abstract:
      Based on the classical thin plate theory and the constitutive theory for orthotropic materials,the linear differential equations of vibration for circular plate of heated piezoelectric fibre composite materials are derived.By using a shooting method,the relationship curves of the dimensionless natural frequencies of the heated piezoelectric fibre composite circular plate versus temperature rise and electric field strength change are presented with clamped and simply supported boundary conditions.And the influence of the volume fraction of piezoelectric fibre,stiffness parameters,electric field strength and temperature rise on the dimensionless natural frequencies of piezoelectric fibre composite materials circular plate is also discussed.The results show that the dimensionless natural frequency of the piezoelectric fibre composite material circular plate monotonically decreases with the temperature.It decreases with decreasing the stiffness parameters,but increases with increasing electric field strength at certain fixed values of temperature.