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Related Concept Videos

Design Example: Underdamped Parallel RLC Circuit01:17

Design Example: Underdamped Parallel RLC Circuit

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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.
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Parallel Resonance01:23

Parallel Resonance

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The parallel RLC circuit is an arrangement where the resistor (R), inductor (L), and capacitor (C) are all connected to the same nodes and, as a result, share the same voltage across them. The parallel RLC circuit is analyzed in terms of admittance (Y), which reflects the ease with which current can flow. The admittance is given by:
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Concept of Resonance and its Characteristics01:19

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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...
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Series resonance occurs in a circuit containing inductive (L), capacitive (C), and resistive (R) elements connected sequentially. At the resonance frequency, the inductive and capacitive reactances are equal in magnitude but opposite in sign, effectively canceling each other. This causes the circuit's impedance is minimal, primarily determined by the resistance R. The resonant frequency of an RLC circuit is defined as:
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The property of an inductor makes it resist any change in the current passing through it, while the property of a capacitor is to build up the charge across its terminals. Hence, if an inductor and capacitor are connected in series, they have opposite effects on the relative phase between current and voltage. The current through the circuit undergoes forced oscillation at the frequency of the source. The resistance term in an R-L-C circuit acts as a damping term because power is dissipated...
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Electromechanical systems are intricate configurations that effectively combine electrical and mechanical elements to achieve a desired outcome. Central to many of these systems is the DC motor, a device that converts electrical energy into mechanical motion, enabling various applications ranging from simple fans to complex robotic mechanisms.
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Microelectromechanical System Resonant Devices: A Guide for Design, Modeling and Testing.

Carolina Viola1, Davide Pavesi1, Lichen Weng1

  • 1Civil and Environmental Engineering Department, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milano, Italy.

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Summary
This summary is machine-generated.

This study introduces a simplified modeling procedure for microelectromechanical systems (MEMS) resonators. The model accurately predicts device dynamics, aiding in the design and fabrication of MEMS for industry applications.

Keywords:
designnumerical modelingresonant MEMS

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Area of Science:

  • Engineering
  • Physics
  • Materials Science

Background:

  • Microelectromechanical systems (MEMS) are crucial for various applications, driving demand for improved performance, miniaturization, and cost reduction.
  • Accurate simulation of MEMS dynamic response is essential for guiding mechanical design and supporting the MEMS industry.

Purpose of the Study:

  • To develop a simplified modeling procedure for predicting the nonlinear dynamics of MEMS resonant devices with arbitrary geometries.
  • To validate the model through experimental fabrication and testing.
  • To utilize the model for designing MEMS resonators.

Main Methods:

  • A simplified modeling procedure was developed to reproduce nonlinear dynamics.
  • A cantilever beam resonator was fabricated and tested to validate the model's predictive capabilities.
  • The model was applied to design a ring resonator operating in the linear regime.

Main Results:

  • The simplified model demonstrated predictability despite fabrication uncertainties.
  • The model accurately reproduced the nonlinear dynamics of the cantilever beam resonator.
  • Experimental data showed satisfactory agreement with numerical predictions, validating the model's effectiveness.

Conclusions:

  • The proposed simplified modeling procedure is an effective a priori design tool for MEMS resonant devices.
  • The model's predictability and the successful design application pave the way for practical use in the MEMS industry.
  • This work supports the continuous improvement of MEMS performance, dimensions, and cost-effectiveness.