Adaptive control of an unsteady stress oscillation in a functionally graded multiferroic composite thin plate
Adaptive control of an unsteady stress oscillation in a functionally graded multiferroic composite thin plate
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DOI：
10.1016/j.euromechsol.2022.104643
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发表时间：
2022-05
期刊：
影响因子：
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通讯作者：
F. Ashida;T. Morimoto;R. Kuwahara
中科院分区：
文献类型：
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作者：
F. Ashida;T. Morimoto;R. Kuwahara
已知功能梯度材料 (FGM) 薄板中的非稳态应力振荡是由冲击载荷的作用引起的。由于随着时间的推移，应力会从压缩到拉伸交替且强烈地变化，因此可能会导致 FGM 薄板严重损坏。因此，需要开发一种分析模型来控制适应冲击载荷作用的动态应力。在本文中，研究了受到均匀冲击压力的功能梯度多铁复合材料（FGMC）薄板的非稳态应力振荡的自适应控制。假设 FGMC 薄板的材料特性根据幂律分布在厚度方向上变化。在体积分数指数和均匀冲击压力未知的假设下分析该弹性动力学问题，而在振动的第一个周期期间测量薄板上的压电电压。未知指数和压力的大小以及用于控制非稳态应力振荡的适当磁势差被认为是在第二周期的周期内根据基于测量的压电电压的知识来确定的。最后，从第三次循环开始对FGMC薄板施加适当的磁势差的情况进行了数值计算。获得的结果表明，受控非稳态应力振荡的最大幅度成功降低了约 46%，并且通过压电传感监测自适应控制的性能。因此，提出了非稳态应力振荡自适应控制和监测的分析模型。
An unsteady stress oscillation is known to be caused in a functionally graded material (FGM) thin plate by the action of impact loading. Since the stress then changes alternately and intensively from compression to tension as time advances, it may lead to serious damage to the FGM thin plate. Therefore, the development of an analytical model for control of the dynamic stress adapted to the action of impact loading is required. In this paper, adaptive control of an unsteady stress oscillation is investigated for a functionally graded multiferroic composite (FGMC) thin plate subjected to uniform impact pressure. Material properties of the FGMC thin plate are assumed to vary in the thickness direction according to a power law distribution. This elastodynamic problem is analyzed under the assumption that the volume fraction exponent and uniform impact pressure are unknown, whereas a piezoelectric voltage is measured across the thin plate during the first cycle of the oscillation. The magnitudes of the unknown exponent and pressure as well as an appropriate magnetic potential difference for control of the unsteady stress oscillation are considered to be determined within the period of the second cycle from knowledge on the basis of the measured piezoelectric voltage. Finally, numerical calculations have been carried out for the case where the appropriate magnetic potential difference is applied to the FGMC thin plate from the third cycle. Obtained results demonstrate that the maximum amplitude of the controlled unsteady stress oscillation is successfully reduced by about 46% and the performance of the adaptive control is monitored through the piezoelectric sensing. In consequence, the analytical model for adaptive control and monitoring of the unsteady stress oscillation has been proposed.