研究目的
To investigate the nonlinear free vibration of piezoelectric functionally graded beams under thermal and electrical loading with various boundary conditions.
研究成果
Simple analytical expressions for nonlinear natural frequency are presented and validated. Parametric studies show effects of vibration amplitude, thermal and electrical loading, boundary conditions, and material inhomogeneity on the behavior of PFG beams, providing benchmarks for future research.
研究不足
The study is theoretical and analytical, with no experimental validation. It assumes specific beam dimensions and material properties, and may not account for all real-world complexities such as damping or imperfections.
1：Experimental Design and Method Selection:
The study uses analytical methods based on Euler-Bernoulli beam theory and Von Karman's strain-displacement relations. The energy balanced method (EBM) is employed for solution.
2：Sample Selection and Data Sources:
PFG beams with specific material properties (e.g., SUS304, Si3N4, PZT) are considered, with dimensions L/h = 20 and hp = 0.01 hf.
3：01 hf.
List of Experimental Equipment and Materials:
3. List of Experimental Equipment and Materials: No specific equipment or materials are listed; the analysis is theoretical.
4：Experimental Procedures and Operational Workflow:
Governing equations are derived and solved using Galerkin decomposition and EBM. Numerical examples are used for validation.
5：Data Analysis Methods:
Results are compared with existing literature, and parametric studies are conducted to analyze effects of amplitude, boundary conditions, material properties, thermal and electrical loads.
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