摘要
在微纳米尺寸的智能结构中,电致伸缩(PMN-PT)/压电(PZT)材料有着广泛的应用前景。本文基于哈密顿变分原理,得到PMN-PT/PZT微尺度梁的智能结构系统运动方程的弱形式。采用以B样条函数为基函数的有限维近似的伽辽金方法,建立起该系统的状态方程。对于由PMN-PT的诱导应变与电场成双曲唯象关系引起的非线性问题,采用线性化输出方法,获得作动诱导应变与控制器输出的线性关系。以PZT做传感器、PMN-PT做作动器的梁系统的控制算例表明了方法的正确性与有效性。此方法可进一步推广到更为复杂的智能结构系统中。
Piezoelectric and electrostrictive materials have now become key components in micro-scale smart actuator/sensor systems. Based on Hamilton variational principle, this paper established the weak form motion equations of a beam with a pair of electrostrictors (PMN-PT) or piezoceramics (PZT) patchesbonded. A Galerkin approximation scheme is used to model the smart structure systems. A method of output linearization ra is used in the systems for obtaining a linear relationship between induced strain and controller output, because the relation between PMN-PT's strain and its electric field shows the square of hyperbolic tangent. The numerical examples of controlling a beam motion are taken to show that the method is valid for modeling and controlling of the smart structural dynamic system.
出处
《微纳电子技术》
CAS
2003年第2期27-33,共7页
Micronanoelectronic Technology
基金
国家自然科学基金(10132010)
