研究目的
Investigating the optimal placement and sizing of piezoelectric material for multiple-mode vibration reduction in turbomachinery blades.
研究成果
The study demonstrates that the optimal placement and sizing of piezoelectric material can significantly improve vibration reduction across multiple modes in turbomachinery blades. The signed strain energy is a critical factor in optimizing the piezoelectric material location. The proposed cost function allows for prioritization of certain modes or compensation for modes that dominate the optimization.
研究不足
The study neglects the effect of centrifugal loading, which complicates the calculation of coupling and requires a more extensive analysis. The model assumes a simplified geometry and may not capture all complexities of real turbomachinery blades.
1：Experimental Design and Method Selection:
The study uses an assumed modes plate model to produce stiffness and mass matrices for modal analysis. This model provides analytical calculations of natural frequencies, mode shapes, and signed strain energy at each mode.
2：Sample Selection and Data Sources:
A representative trapezoidal plate with a surface-mounted piezoelectric patch is modeled. The plate dimensions and material properties are specified.
3：List of Experimental Equipment and Materials:
The study involves piezoelectric material with specified Young’s modulus, Poisson’s ratio, dielectric permittivity, and piezoelectric constant.
4：Experimental Procedures and Operational Workflow:
The assumed modes method derives mass and stiffness matrices from energy terms. The strain energy, electrical energy, and coupled energy are calculated to determine the effective stiffness matrix under different electrical boundary conditions.
5：Data Analysis Methods:
The natural frequencies and coupling coefficients are calculated analytically. A cost function is minimized to optimize the placement and size of the piezoelectric patch across multiple modes.
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