研究目的
The primary objective of the current paper is to introduce a new active vibration absorber for liquids that are in a partially full container. The novelty of this strategy is using a flexible structure such as beams and plates that has contact with fluid to absorb the fluid vibrations.
研究成果
The paper introduces a new active liquid vibrations damper using piezoelectric transducers and boundary control. Simulations show effective vibration suppression in less than 0.1 seconds, with faster damping near the flexible beam. Future work should include additional simulations and experimental tests.
研究不足
The stability proof of the controller is not presented due to complexities. Results need further simulations with other sloshing phenomena and experimental validation.
1：Experimental Design and Method Selection:
The study uses analytical methods and numerical techniques, including the extended Hamilton principle for deriving equations of motion and a boundary control technique for vibration control. A finite element method (FEM) is employed for simulation validation.
2：Sample Selection and Data Sources:
The model is a partially full container with rigid baffles, and fluid is assumed to be Newtonian barotropic with low velocity and small amplitude motions. Initial conditions include a velocity potential of 0.01 in the center of the fluid.
3：01 in the center of the fluid.
List of Experimental Equipment and Materials:
3. List of Experimental Equipment and Materials: A flexible beam with piezoelectric patches (actuator and sensor) is used. Parameters include beam dimensions, piezoelectric properties (e.g., PZT layers), fluid density, and sound velocity.
4：Experimental Procedures and Operational Workflow:
The system is modeled mathematically, and simulations are conducted in MATLAB software over 2 seconds with specific node configurations. The controller is applied as a piezoelectric voltage based on Lyapunov stability criteria.
5：Data Analysis Methods:
Results are analyzed through simulation outputs, including lateral deflection, rotation, velocity potential, and fluid velocities, comparing uncontrolled and controlled scenarios.
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