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Energy Harvesting System Whose Potential Is Mapped with the Modified Fibonacci Function.

Jerzy Margielewicz1, Damian Gąska1, Grzegorz Litak2

  • 1Faculty of Transport and Aviation Engineering, Silesian University of Technology, Krasińskiego 8, 40-019 Katowice, Poland.

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Summary

This study introduces novel bumpers modeled with a hyperbolic sine Fibonacci function to enhance energy harvesting systems. These non-linear systems show improved performance, especially with deep potential wells, offering effective solutions for energy capture.

Keywords:
bifurcationsenergy effectivenessmultistable energy harvestertransient chaos

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Area of Science:

  • Non-linear dynamics
  • Energy harvesting systems
  • Mechanical engineering

Background:

  • Energy harvesting systems often face limitations in capturing energy efficiently.
  • Non-linear dynamics offer potential for improved energy capture through complex system behaviors.
  • The use of bumpers can modify system dynamics and energy absorption characteristics.

Purpose of the Study:

  • To compare the effectiveness of three energy harvesting systems with novel bumpers.
  • To model and analyze non-linear dynamics in multi-well systems using a hyperbolic sine Fibonacci function.
  • To identify optimal configurations for energy harvesting based on bumper characteristics and excitation.

Main Methods:

  • Construction of non-linear two-well, three-well, and four-well systems using cantilever beams and permanent magnets.
  • Mathematical modeling of bumpers with non-linear characteristics based on the hyperbolic sine Fibonacci function.
  • Simulations of non-linear dynamics across a wide frequency spectrum to identify chaotic and periodic motion zones.

Main Results:

  • Transient chaos was observed and analyzed in the studied systems.
  • System effectiveness was determined based on bumper characteristics and external harmonic excitation.
  • The most significant improvements in energy harvesting were observed in systems with deep external wells.

Conclusions:

  • The integration of bumpers with hyperbolic sine Fibonacci characteristics is an effective strategy for enhancing energy harvesting.
  • The Fibonacci hyperbolic sine function provides a simple and effective numerical tool for modeling non-linear properties of motion limiters.
  • Optimized energy harvesting performance is achievable, particularly in systems with deep potential wells.