Free vibration of a FGPM circular plate placed in a uniform magnetic field. (English) Zbl 1293.74169
Summary: In this paper, free vibration of a circular plate composed of a transversely isotropic functionally graded piezoelectric material (FGPM) placed in a uniform magnetic field is investigated. Material properties are assumed to depend on the thickness of the circular plate and they are expressed as the same exponential function of \(h\). The problem of free vibration for the transversely isotropic FGPM circular plate with clamped and simply supported boundary conditions is solved by means of the state space method. Numerical examples and some useful discussions are given to demonstrate the significant influence of material inhomogeneity, and adopting a certain value of the graded index can optimize structures of the circular plate. This will be of particular importance in modern engineering design.
MSC:
| 74H45 | Vibrations in dynamical problems in solid mechanics |
| 74K20 | Plates |
| 74F15 | Electromagnetic effects in solid mechanics |
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