Design and Optimization of the Resonator in a Resonant Accelerometer Based on Mode and Frequency Analysis

This study aims to develop methods to design and optimize the resonator in a resonant accelerometer based on mode and frequency analysis. First, according to the working principle of a resonant accelerometer, the resonator is divided into three parts: beam I, beam II, and beam III. Using Hamilton’s principle, the undamped dynamic control equation and the ordinary differential dynamic equation of the resonant beam are obtained. Moreover, the structural parameters of the accelerometer are designed and optimized by using resonator mode and frequency analysis, then using finite element simulation to verify it. Finally, 1 g acceleration tumbling experiments are built to verify the feasibility of the proposed design and optimization method. The experimental results demonstrate that the proposed accelerometer has a sensitivity of 98 Hz/g, a resolution of 0.917 mg, and a bias stability of 1.323 mg/h. The research findings suggest that according to the resonator mode and frequency analysis, the values of the resonator structural parameters are determined so that the working mode of the resonator is far away from the interference mode and avoids resonance points effectively. The research results are expected to be beneficial for a practical resonant sensor design.

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A quantitative measure of the degree of output controllability for output regulation control systems: Concept, approach, and applications

Journal of Vibration and Control ◽

10.1177/10775463211020185 ◽

2021 ◽

pp. 107754632110201

Author(s):

Yaping Xia ◽

Ruiyu Li ◽

Minghui Yin ◽

Yun Zou

Keyword(s):

Structural Parameters ◽

Quantitative Measure ◽

Output Regulation ◽

State Regulation ◽

Control Effect ◽

Pendulum System ◽

Design And Optimization ◽

Inverted Pendulum System ◽

State Regulator ◽

Output Controllability

Currently, many research studies reveal that for state regulator problems, the higher the degree of controllability is, the better the control effect likely is. Note that for the output regulator problems, the control performance is often evaluated by outputs. This article hence generalizes the concept and applications of degree of controllability to the case of output regulator. To this end, a kind of degree of output controllability is presented. Furthermore, simulations on wind turbines and the inverted pendulum system demonstrate that better control effect may be achieved by increasing the degree of output controllability measure. These results imply that similar to the case of degree of controllability for state regulation control, the degree of output controllability measure is likely a feasible candidate index for the design and optimization of the structural parameters of controlled plants in the case of output regulation control.

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A general design and optimization method of tightly-coupled cross-dipoles for base station

12th European Conference on Antennas and Propagation (EuCAP 2018) ◽

10.1049/cp.2018.0367 ◽

2018 ◽

Author(s):

Can Ding ◽

Haihan Sun ◽

Y.J. Guo ◽

R.W. Ziolkowski

Keyword(s):

Optimization Method ◽

Base Station ◽

General Design ◽

Design And Optimization ◽

Tightly Coupled

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Design and optimization method for a two-dimensional hydrofoil

Journal of Hydrodynamics ◽

10.1007/bf03400466 ◽

2006 ◽

Vol 18 (S1) ◽

pp. 316-322

Author(s):

Ching-Yeh Hsin ◽

Jia-Lin Wu ◽

Sheng-Fong Chang

Keyword(s):

Optimization Method ◽

Two Dimensional ◽

Design And Optimization

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Parameter Design of Conformal PML Based on 2D Monostatic RCS Optimization

Applied Computational Electromagnetics Society ◽

10.47037/2020.aces.j.360614 ◽

2021 ◽

Vol 36 (6) ◽

pp. 726-733

Author(s):

Yongjie Zhang ◽

Xiaofeng Deng

Keyword(s):

Electromagnetic Scattering ◽

Simulated Annealing Algorithm ◽

Design Method ◽

Optimization Method ◽

Parameter Design ◽

Design Parameters ◽

Absorption Effect ◽

Absorbing Boundary ◽

Design And Optimization ◽

Annealing Algorithm

In this study, 2D finite element (FE) solving process with the conformal perfectly matched layer (PML) is elucidated to perform the electromagnetic scattering computation. With the 2D monostatic RCS as the optimization objective, a sensitivity analysis of the basic design parameters of conformal PML (e.g., layer thickness, loss factor, extension order and layer number) is conducted to identify the major parameters of conformal PML that exerts more significant influence on 2D RCS. Lastly, the major design parameters of conformal PML are optimized by the simulated annealing algorithm (SA). As revealed from the numerical examples, the parameter design and optimization method of conformal PML based on SA is capable of enhancing the absorption effect exerted by the conformal PML and decreasing the error of the RCS calculation. It is anticipated that the parameter design method of conformal PML based on RCS optimization can be applied to the cognate absorbing boundary and 3D electromagnetic computation.

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Optimization in a Design System for Complex Products

18th Design Automation Conference: Volume 1 — Optimum Design, Manufacturing Processes, and Concurrent Engineering ◽

10.1115/detc1992-0109 ◽

1992 ◽

Author(s):

Johan Malmqvist

Keyword(s):

Parametric Design ◽

System Optimization ◽

Optimization Method ◽

Design System ◽

Design Problems ◽

Design And Optimization ◽

Complex Products ◽

Knowledge Based ◽

Product Models ◽

Use Of Knowledge

Abstract This paper describes a system for parametric design and optimization of complex products. In the system, the use of knowledge-based and mathematical programming methods is combined. The motivation is that while knowledge-based methods are well suited for modeling products, they are insufficient when dealing with design problems that can be given an optimization formulation. This weakness was approached by including the information necessary for stating an optimization problem in the product models. A system optimization method can then be applied. The system also performs sensitivity analysis and has an interactive optimization module. The use of the system is illustrated by an example; the design and optimization of a two-speed gearbox.

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Improvement of bias stability of micromechanical silicon resonant accelerometer at room temperature

Optics and Precision Engineering ◽

10.3788/ope.20162405.1050 ◽

2016 ◽

Vol 24 (5) ◽

pp. 1050-1056

Author(s):

严斌 YAN Bin ◽

尹永刚 YIN Yong-gang ◽

董景新 DONG Jing-xin

Keyword(s):

Room Temperature ◽

Bias Stability ◽

Resonant Accelerometer

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Optimum Design of Structural Parameters for Thin-walled Metal Container

MATEC Web of Conferences ◽

10.1051/matecconf/201928801007 ◽

2019 ◽

Vol 288 ◽

pp. 01007

Author(s):

Liao Hongbo ◽

Yang Dan ◽

Yin Fenglong ◽

Liang Xiaodong ◽

Li Erkang ◽

...

Keyword(s):

Structural Parameters ◽

Optimization Method ◽

External Pressure ◽

Test System ◽

Manufacturing Cost ◽

Thin Wall ◽

Pressure Test ◽

Critical Instability ◽

Thin Walled ◽

Better Than

In order to further increase the volume, reduce the weight and manufacturing cost, the key structural parameters of thin-walled metal packing container are optimized. The instability conditions under circumferential external pressure and axial load are analyzed, a mathematical model with the constraint of critical instability strength, the maximum volume and minimum mass as the objective is constructed. Multi-objective optimization method with nonlinear constraints is used to solve the key structural parameters, such as wall thickness, diameter and height, and the optimization result is calculated by fgoalattain() function in the Matlab optimization toolbox. The instability pressure test system is constructed, the instability pressure of the optimized thin-wall metal packing container is tested. The results show that the unstable pressure is higher than 120kPa, which are better than the design index.

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