科氏质量流量计(CMF,Coriolis Mass Flowmeter)全数字闭环系统,采用现场可编程门阵列(FPGA,Field Programmable Gate Array)和现代数字信号处理方法对CMF传感器进行稳定精确的闭环控制,实时性和精度较高.以高速并行器件FPGA为运算和控制核心,在相位控制中引入FIFO(First In First Out)组件,通过控制FIFO的读、写请求信号来改变时间差,实现对拾振和激励信号的相位差准确、稳定的控制;采用不连续和连续幅值控制相结合的非线性幅值控制方法,快速、准确地设定幅值,适应性强,实现对拾振信号幅值的良好控制,并控制拾振信号以稳定的幅值输出,提高CMF的测量精度和稳定性.实流标定对比实验结果表明:CMF数字闭环在零点稳定性、动态响应特性和重复性方面都优于模拟闭环,并在一定程度上提高了CMF的测量精度.
The parametric dynamic stability of resonant beams with various parameters under periodic axial force is studied. It is assumed that the theoretical formulations are based on Euler-Bernoulli beam theory. The governing equations of motion are derived by using the Rayleigh-Ritz method and transformed into Mathieu equations, which are formed to determine the stability criterion and stability regions for parametricallyexcited linear resonant beams. An improved stability criterion is obtained using periodic Lyapunov functions. The boundary points on the stable regions are determined by using a small parameter perturbation method. Numerical results and discussion are presented to highlight the effects of beam length, axial force and damped coefficient on the stability criterion and stability regions. While some stability rules are easy to anticipate, we draw some conclusions： with the increase of damped coefficient, stable regions arise; with the decrease of beam length, the conditions of the damped coefficient arise instead. These conclusions can provide a reference for the robust design of parametricallyexcited linear resonant sensors.
Dynamic characteristics of the resonant gyroscope are studied based on the Mathieu equation approximate solution in this paper.The Mathieu equation is used to analyze the parametric resonant characteristics and the approximate output of the resonant gyroscope.The method of small parameter perturbation is used to analyze the approximate solution of the Mathieu equation.The theoretical analysis and the numerical simulations show that the approximate solution of the Mathieu equation is close to the dynamic output characteristics of the resonant gyroscope.The experimental analysis shows that the theoretical curve and the experimental data processing results coincide perfectly,which means that the approximate solution of the Mathieu equation can present the dynamic output characteristic of the resonant gyroscope.The theoretical approach and the experimental results of the Mathieu equation approximate solution are obtained,which provides a reference for the robust design of the resonant gyroscope.
