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Nonlinearity in drug pharmacokinetics is caused by various factors influencing how a drug is absorbed, distributed, metabolized, and excreted. Understanding these nonlinear processes is crucial for predicting drug behavior in the body and optimizing drug dosing regimens.
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Mechanical vibrators are instrumental in compacting newly poured concrete within formwork and around reinforcements. This process is essential to eliminate trapped air pockets and establish a dense concrete mass. One widely used method is vibrating by internal vibrators, often referred to as a poker vibrator or immersion vibrator. It is rapidly inserted through the full depth of the freshly laid concrete and slightly extends into the layer below it (which remains in a plastic state). Consistent...
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Passive filters are utilized to shape the frequency spectrum of signals across a diverse array of applications. These filters, using only passive elements like resistors (R), inductors (L), and capacitors (C), are capable of selectively allowing or blocking certain frequency ranges without the need for external power sources.
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A nonlinear inequality describes a comparison involving an expression that curves or behaves more complexly than a straight line. These inequalities often appear in forms that include squares, products, or variables in the denominator.To solve such an inequality, one starts by rewriting it so that zero appears on one side. For example, the inequality:  can be factored as: This form makes it easier to identify the values that cause the expression to equal zero. In this case, the...
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Introduction to Nonlinear Inequalities01:25

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Linear and nonlinear inequalities are fundamental for analyzing variable relationships and identifying ranges satisfying specific conditions. A linear inequality involves variables raised only to the first power, resulting in a straight-line graph. This line partitions the coordinate plane into two distinct regions: one that satisfies the inequality and one that does not. Each region represents a set of solutions where the linear relationship holds true under the specified constraint.Nonlinear...
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Related Experiment Video

Updated: Feb 7, 2026

A Polymer-based Piezoelectric Vibration Energy Harvester with a 3D Meshed-Core Structure
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A Polymer-based Piezoelectric Vibration Energy Harvester with a 3D Meshed-Core Structure

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A fully passive nonlinear piezoelectric vibration absorber.

B Lossouarn1, J-F Deü2, G Kerschen3

  • 1Laboratoire de Mécanique des Structures et des Systèmes Couplés, Conservatoire National des Arts et Métiers, 75141 Paris, France boris.lossouarn@lecnam.net.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|July 25, 2018
PubMed
Summary

This study introduces the first fully passive nonlinear piezoelectric tuned vibration absorber (NPTVA). It effectively mitigates structural resonance using passive components, avoiding external power for vibration control.

Keywords:
nonlinear absorberpassive inductorpiezoelectric shuntvibration damping

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Area of Science:

  • Mechanical Engineering
  • Materials Science
  • Nonlinear Dynamics

Background:

  • Vibration mitigation is crucial for structural integrity and performance.
  • Traditional vibration absorbers often require external power sources or complex active control systems.
  • Nonlinear systems present unique challenges for vibration absorption due to their complex dynamic behavior.

Purpose of the Study:

  • To develop the first fully passive nonlinear piezoelectric tuned vibration absorber (NPTVA).
  • To mitigate specific resonances in nonlinear host structures.
  • To demonstrate the efficacy of a passive nonlinear approach for vibration control.

Main Methods:

  • Utilized closed magnetic circuits with ferrite material to achieve high inductance values passively.
  • Introduced nonlinearity into the NPTVA by exploiting the saturation of an additional passive inductor.
  • Validated the NPTVA performance through numerical simulations and experimental testing.

Main Results:

  • Successfully developed and demonstrated a fully passive nonlinear piezoelectric tuned vibration absorber.
  • Achieved significant vibration mitigation at low frequencies without external power.
  • Confirmed the device's effectiveness in addressing resonances of nonlinear host structures.

Conclusions:

  • The developed NPTVA offers a novel, power-free solution for mitigating vibrations in nonlinear systems.
  • Passive nonlinear design strategies are viable for advanced vibration control applications.
  • This work contributes to the field of nonlinear energy transfer in dynamical systems.