研究目的
To investigate the free vibration analysis of FGPM actuators incorporating different geometries, i.e., beam and annular plate excited under the d15 effect using GDQ method.
研究成果
The GDQ method provides accurate and efficient solutions for vibration analysis of FGPM actuators under shear effect. Natural frequencies decrease with increasing volume fraction index and slenderness ratio. The methodology is validated against finite element software and exact solutions, showing good agreement. The results are useful for designing sensors and actuators in engineering applications.
研究不足
The study is limited to theoretical and numerical analysis without experimental validation. The GDQ method may show slow convergence for certain boundary conditions like clamped-free. The models assume specific material gradation laws (power law) and sinusoidal electric potential variation, which may not cover all real-world scenarios. Applications are focused on beams and annular plates, not other geometries.
1:Experimental Design and Method Selection:
The study uses the generalized differential quadrature (GDQ) method for numerical analysis, derived from Hamilton's principle for equations of motion. Theoretical models include Timoshenko beam theory for beams and Mindlin plate theory for annular plates, with material properties varying according to power law.
2:Sample Selection and Data Sources:
The samples are FGPM beams and annular plates with properties graded from PZT-4 to PZT-5H or other materials, using specific geometric parameters like length, thickness, and volume fraction index. Data sources include material properties from literature (e.g., Table
3:1). List of Experimental Equipment and Materials:
No specific experimental equipment is listed as the work is computational; materials include piezoelectric ceramics like PZT-4 and PZT-5H.
4:5H. Experimental Procedures and Operational Workflow:
4. Experimental Procedures and Operational Workflow: The procedure involves deriving governing equations, discretizing them using GDQ, implementing boundary conditions, and solving eigenvalue problems to find natural frequencies. Validation is done using COMSOL Multiphysics software and exact analytical solutions where applicable.
5:Data Analysis Methods:
Data analysis involves comparing results from GDQ with COMSOL and exact solutions, convergence studies, and parametric analyses using MATLAB? for computations.
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