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Related Concept Videos

Impact Loading01:19

Impact Loading

Impact loading occurs when a moving object collides with a stationary structure, such as a rod with a uniform cross-sectional area fixed at one end. Under these conditions, the rod absorbs the kinetic energy from the striking object, leading to deformation and subsequent stress development. As the rod returns to its original position and reaches maximum stress, the absorbed energy, initially manifested as kinetic energy, transforms entirely into strain energy.
In cases of elastic deformation,...
Types of Damping01:20

Types of Damping

If the amount of damping in a system is gradually increased, the period and frequency start to become affected because damping opposes, and hence slows, the back and forth motion (the net force is smaller in both directions). If there is a very large amount of damping, the system does not even oscillate; instead, it slowly moves toward equilibrium. In brief, an overdamped system moves slowly towards equilibrium, whereas an underdamped system moves quickly to equilibrium but will oscillate about...
Damped Oscillations01:07

Damped Oscillations

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...
Magnetic Damping01:17

Magnetic Damping

Eddy currents can produce significant drag on motion, called magnetic damping. For instance, when a metallic pendulum bob swings between the poles of a strong magnet, significant drag acts on the bob as it enters and leaves the field, quickly damping the motion.
If, however, the bob is a slotted metal plate, the magnet produces a much smaller effect. When a slotted metal plate enters the field, an emf is induced by the change in flux; however, it is less effective because the slots limit the...
Applications of Stress01:04

Applications of Stress

Consider a structure made of a boom and a rod designed to support a load. These two components are connected by a pin and stabilized by brackets and pins. The boom and the rod are detached from their supports to assess the different stresses imposed on this structure, and a free-body diagram is drawn. Then, all the forces applied, including the load acting on the structure, are identified. The reaction forces exerted on both the boom and the rod are computed using the equilibrium equations.
The...
Bending and Torsional Moments01:20

Bending and Torsional Moments

Bending and torsional moments are two fundamental concepts in structural engineering. They play an important role in understanding the behavior of materials and structures under different loading conditions.
The reaction developed in a structural element when subjected to an external force causes the element to bend. When a structural element bends upwards, it creates compressive normal forces on the top and tensile normal forces on the bottom, resulting in a couple that determines the bending...

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Simulation of Human-induced Vibrations Based on the Characterized In-field Pedestrian Behavior
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Simulation of Human-induced Vibrations Based on the Characterized In-field Pedestrian Behavior

Published on: April 13, 2016

Vibration absorption using non-dissipative complex attachments with impacts and parametric stiffness.

N Roveri1, A Carcaterra, A Akay

  • 1Department of Mechanics and Aeronautics, University of Rome,Via Eudossiana, 18, 00184 Rome, Italy.

The Journal of the Acoustical Society of America
|November 10, 2009
PubMed
Summary

Nonlinear attachments with impacts or parametric effects enhance energy absorption in primary systems. These nonlinearities confine vibratory energy within the attachments, improving performance over linear systems.

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Area of Science:

  • Mechanical Engineering
  • Vibrational Dynamics
  • Nonlinear Systems Analysis

Background:

  • Vibrational energy can be dissipated from primary structures using undamped resonators attached to them.
  • Linear systems theory has been applied to large structures like vehicles for energy sharing and absorption.
  • Previous research focused on linear oscillators for vibration energy harvesting.

Purpose of the Study:

  • To investigate the impact of nonlinearities in attached resonators on vibrational energy dissipation.
  • To analyze the effects of impacts and parametric variations in resonators.
  • To compare the performance of nonlinear resonators against linear ones for energy absorption.

Main Methods:

  • Numerical simulations were employed to study systems with nonlinear attachments.
  • Two types of nonlinearities were considered: impacts between resonators and time-varying stiffness (parametric effects).
  • The energy confinement within the attached oscillators was analyzed.

Main Results:

  • Both impact and parametric nonlinearities were found to improve energy absorption compared to linear oscillators.
  • Nonlinear resonators effectively inhibit the return of vibratory energy to the primary structure.
  • Energy is successfully confined among the attached nonlinear oscillators, demonstrating enhanced dissipation.

Conclusions:

  • Nonlinear attachments offer superior vibration control by confining energy more effectively than linear systems.
  • Impacts and parametric effects in resonators are beneficial for energy absorption applications.
  • The findings suggest advanced strategies for designing vibration damping systems in complex structures.