Application Cases

Experiment Name: Vibration Control Experiment Based on Combined Output

Test Purpose: To investigate the vibration suppression effects of the combined output method when the flexible hinged plate is in different vibration states, such as bending mode, torsional mode, and bending-torsional coupling. During the vibration process, the vibration signal detected by the laser displacement sensor is converted into a digital signal recognizable by the computer through the A/D conversion part on the terminal board. This detected vibration signal will serve as feedback for control input. Subsequently, the computer outputs instructions to the motion control card, which then outputs control signals. These signals are converted into analog signals through the D/A conversion part on the terminal board, amplified by the voltage amplifier, and finally output as driving force by the piezoelectric ceramic actuator.

Testing Equipment: Voltage amplifier, charge amplifier, motion control card, camera, computer, etc.

Figure 1: Block Diagram of the Experimental System for Active Vibration Control of Flexible Hinged Plates

Experiment Process:

The sampling cycle of the experiment is 200 Hz. The measuring range of the laser displacement sensor is (-100 mm, 100 mm), with a corresponding output voltage of (-10 V, 10 V). In the experiment, the bending signal and torsion signal are obtained by decoupling through addition and subtraction operations on the signals detected by two laser displacement sensors. Under the bending mode, the measurement range of the laser displacement detection is (-1.5 V, 1.5 V), corresponding to an actual displacement of (-15 mm, 15 mm) at the laser point on the flexible plate. Under the torsional mode, the measurement range of the laser displacement detection is (-0.5 V, 0.5 V), corresponding to an actual displacement of (-5 mm, 5 mm) at the laser point on the flexible plate. The measuring range of the piezoelectric sensor used is (-10 V, 10 V). The voltage range output by the designed controller is (-4.8 V, 4.8 V), which is amplified 62 times by the voltage amplifier to (-300 V, 300 V). The experiment will separately investigate the active control experimental effects of the first-order bending mode, the first two bending modes, the first-order torsional mode, and bending-torsional coupling of the plate-type flexible hinged plate. The natural frequencies of the first two bending modes of the flexible hinged plate are measured to be 0.95 Hz and 5.05 Hz, respectively, and the natural frequency of the first-order torsional mode is 3.1 Hz.

Experimental Results:

Figure 2: First-Order Bending-Free Vibration

Figure 2(a) shows the vibration curve of the voltage quantity (lsu) measured by the laser displacement sensor, representing the first-order bending mode vibration of the flexible hinged plate, with the unit in volts (V). Figure 2(b) shows the vibration curve measured by the laser displacement sensor for the first 25 seconds. The initial amplitude of the measured vibration response curve is 1.5 V. Without any control applied, the flexible hinged plate continues to vibrate for 25 seconds and has not yet stopped, with a relatively large amplitude remaining. It can be seen that the vibration of the flexible hinged plate will persist for about 100 seconds before it essentially reaches a stable state. It is evident that the vibration duration of the flexible hinged plate without control is quite long.

Figure 3: First-Order Bending-Combined Output PD Control

Figure 4: First-Order Bending-Combined Output Iterative Learning Control

Figures 3 and 4 present the experimental results of combined output control under the first-order bending mode. It can be seen from the figures that, compared to free vibration, the flexible plate essentially reaches a stable state around 35 seconds under combined output iterative learning control. The experimental results confirm that the combined output method can effectively suppress the first-order bending vibration of the flexible hinged plate.

Voltage Amplifier Recommendation: ATA-2032

Figure: Specification Parameters of the ATA-2032 High-Voltage Amplifier

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