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Structural Engineering and Mechanics Volume 99, Number 2, July25 2026 , pages 181-199 DOI: https://doi.org/10.12989/sem.2026.99.2.181 |
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Vibration analysis of FG piezoelectric-elastic annular nanoplates: rotational-thermal effects with geometric imperfection |
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Xiao-Qiang Sun, Gui-Lin She
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| Abstract | ||
| This study analyzes the vibrational characteristics of functionally graded piezoelectric-elastic (FGPE) annular nanoplates under rotational and thermal loads. The material system consists of piezoelectric (BaTiO3) and non-piezoelectric elastic (CoFe2O4) phases. The thermo-electro-elastic properties of the nanoplate vary continuously along its thickness according to a power-law distribution. The analysis employs the nonlocal strain gradient theory (NSGT), the governing equations are derived using Hamilton's principle and solved via the Runge-Kutta method. Results demonstrate that: The natural frequency exhibits complex behavior influenced by rotational speed, initially decreasing, then increasing, and subsequently fluctuating. Increasing the functionally graded index or porosity volume fraction reduces the natural frequency by softening material stiffness and weakening piezoelectric coupling efficiency. The electric potential enhances frequency at low rotational speeds but induces complex fluctuations beyond a critical speed. Temperature changes cause a non-monotonic frequency response, initially decreasing, then increasing, and finally decreasing again. Clearly, initial geometric imperfection significantly alter the vibration characteristics, with frequency decreasing at low speeds, increasing beyond a critical rotational speed, and decreasing again at higher speeds, highlighting the importance of accounting for geometric imperfections in nanoscale structural design. | ||
| Key Words | ||
| functionally graded piezoelectric nanoplates; nonlocal strain gradient theory; rotational loads; thermal loads; vibrational characteristics | ||
| Address | ||
| Xiao-Qiang Sun: Chongqing Industry Polytechnic University, Chongqing, 401120, P.R. China Gui-Lin She: College of Mechanical and Vehicle Engineering, Chongqing University, Chongqing, 400044, China | ||