Pseudo-spectrum Matrix Method and Its Application

A base function expressed with Chebyshev polynomials is reached. The relationship between the coefficients of the partial differential equation and the base function is deduced. Using the relationship, one can obtain nearly the same results as those calculated by Fast Fourier Transformation (FFT). The pseudo-spectral matrix method is applied in this paper to simulate numerically the incompressible laminar boundary flow on a plate. The simulation proves to be precise and efficient.

U型微电热驱动器理论模型及瞬态位移特性

针对电热驱动器材料参数受温度的非线性影响以及简化模型中存在的非连续性边界问题,开展U型电热驱动器的瞬态位移特性研究。引入与温度相关的材料更新函数,根据能量守恒方程等热力学理论以及虚功原理等材料力学理论建立U型电热驱动器的电-热-力耦合模型。利用改进型切比雪夫谱方法求解所构建的耦合模型,得到U型电热驱动器温度和瞬态位移表达式;对U型电热驱动器瞬态位移进行有限元仿真和理论分析,理论分析和仿真结果大致相同,验证了模型的正确性。搭建电热驱动器瞬态位移特性实验平台,将恒定电压激励下的U型电热驱动器位移响应实验结果与理论和仿真结果进行对比分析,并对周期性正弦电压作用下驱动器的瞬态位移特性进行了测试和分析,结果表明:一段时间后U型微电热驱动器位移变化趋势同样呈现正弦规律变化,且变化周期与电压周期相等;U型微电热驱动器的位移变化幅度与电压峰峰值正向变化,与电压频率负向变化。所获得的瞬态位移变化规律为U型微电热驱动器在微机电系统中的动态驱动应用奠定了基础。