相关实验视频
Updated: Jun 1, 2025

09:10
Fabrication and Testing of Microfluidic Optomechanical Oscillators
Published on: May 29, 2014
12.1K
纳米机械共振器的基于有限元素的非线性动态优化
Zichao Li1, Farbod Alijani2, Ali Sarafraz2
1Faculty of Mechanical Engineering, Department of Precision and Microsystems Engineering, Delft University of Technology, Mekelweg 2, 2628 CD, Delft, The Netherlands. z.Li-16@tudelft.nl.
Microsystems & nanoengineering
|January 20, 2025
概括
本研究介绍了一种有效的方法,通过将有限元 (FE) 模型与优化算法相结合来设计非线性机械共振器. 这种方法优化了纳米机械共振器,以提高传感应用中的性能.
科学领域:
- 机械工程 机械工程
- 计算力学 计算力学 计算力学
- 材料科学 材料科学 材料科学
背景情况:
- 机械共振器的非线性动态模拟对于设备设计至关重要.
- 目前使用基于有限元素 (FE) 的非线性减少顺序模型 (ROM) 的方法是计算密集的.
- 设计具有特定非线性特征的设备是低效的,因为手动参数调整和低于最佳的结果.
研究的目的:
- 开发一种综合的方法,用于高效设计非线性机械共振器.
- 为了优化纳米机械化 (Si3N4) 弦共振器的支设计.
- 为实用的纳米共振器设计挑战展示多目标优化.
主要方法:
- 基于FE的非线性ROM技术与无衍生品优化算法的集成.
- 高应力纳米机械Si3N4弦共振器的优化,具有相互矛盾的目标.
- 产生帕雷托边界来说明Q因子和非线性杜芬常数之间的权衡.
- 在共振传感中同时优化功耗,灵敏度和响应时间.
主要成果:
- 成功优化纳米机械共振器设计,以提高性能.
- 为优化共振器设计验证数值和实验结果.
- 帕雷托边界的演示,突出了多目标优化中的权衡.
- 实现了对共振传感的多个关键优点的同时优化.
结论:
- 提出的方法极大地加速了非线性机械共振器的设计.
- 这种方法可以创建具有量身定制的非线性特征的共振器.
- 这项工作有助于开发用于各种应用的高性能纳米复原器.
更多相关视频
相关概念视频
Design Example: Underdamped Parallel RLC Circuit
257
Consider designing an oscillator circuit, a crucial component in various electronic devices and systems. The objective is to create an oscillator circuit with specific characteristics: a damped natural frequency of 4 kHz and a damping factor of 4 radians per second. To accomplish this, a parallel RLC circuit is employed, known for its ability to sustain oscillations at a resonant frequency. In this case, the damping factor is pivotal in achieving the desired performance.
Starting with a fixed...
Starting with a fixed...
257
One-Degree-of-Freedom System
460
In mechanical engineering, one-degree-of-freedom systems form the basis of a wide range of electrical and mechanical components. Using these models, engineers can predict the behavior of various parts in a larger system, which gives them insight into how different forces interact with each other.
A one-degree-of-freedom system is defined by an independent variable that determines its state and behavior. One example of a one-degree-of-freedom system is a simple harmonic oscillator, such as a...
A one-degree-of-freedom system is defined by an independent variable that determines its state and behavior. One example of a one-degree-of-freedom system is a simple harmonic oscillator, such as a...
460
Linear Approximation in Time Domain
60
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
60
Linear Approximation in Frequency Domain
85
Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
85
Damped Oscillations
5.6K
In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its amplitude is termed undamped. However, friction of some sort usually dampens the motion, so it fades away or needs more force to continue. For example, a guitar string stops oscillating a few seconds after being plucked. Similarly, one must continually push a swing to keep a child swinging on a playground.
Although friction and other non-conservative...
Although friction and other non-conservative...
5.6K
Concept of Resonance and its Characteristics
5.0K
If a driven oscillator needs to resonate at a specific frequency, then very light damping is required. An example of light damping includes playing piano strings and many other musical instruments. Conversely, to achieve small-amplitude oscillations as in a car's suspension system, heavy damping is required. Heavy damping reduces the amplitude, but the tradeoff is that the system responds at more frequencies. Speed bumps and gravel roads prove that even a car's suspension system is not...
5.0K

