Chaos and transient chaos in an experimental nonlinear pendulum
Chaos and transient chaos in an experimental nonlinear pendulum
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DOI：
10.1016/j.jsv.2005.11.015
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发表时间：
2006-07-11
影响因子：
4.7
通讯作者：
Pereira-Pinto, Francisco Heitor Lunes
中科院分区：
文献类型：
--
作者：
de Paula, Aline Souza;Savi, Marcelo Amorim;Pereira-Pinto, Francisco Heitor Lunes
钟摆是一种机械装置，它可以促进技术或科学研究，与时间测量，稳定装置以及弹道应用有关。摆的非线性特性被用来描述与振动、分岔和混沌相关的各种现象，引起了人们的广泛关注。本文的主要目的是分析实验非线性摆中的混沌现象。摆锤由一个圆盘组成，圆盘上有一个与旋转运动传感器相连的集中质量。该组件由连接到电动机的弦弹簧装置驱动，并且还为系统提供扭转刚度。一种磁性装置提供可调节的能量耗散。对该实验装置进行了建模和数值模拟。自由和强迫振动的分析表明，数值计算结果与实验数据得到的那些密切一致。分析表明，实验摆具有丰富的响应，呈现周期响应、混沌和瞬态混沌。(c)2006爱思唯尔有限公司版权所有。
Pendulum is a mechanical device that instigates either technological or scientific studies, being associated with the measure of time, stabilization devices as well as ballistic applications. Nonlinear characteristic of the pendulum attracts a lot of attention being used to describe different phenomena related to oscillations, bifurcation and chaos. The main purpose of this contribution is the analysis of chaos in an experimental nonlinear pendulum. The pendulum consists of a disc with a lumped mass that is connected to a rotary motion sensor. This assembly is driven by a string-spring device that is attached to an electric motor and also provides torsional stiffness to the system. A magnetic device provides an adjustable dissipation of energy. This experimental apparatus is modeled and numerical simulations are carried out. Free and forced vibrations are analyzed showing that numerical results are in close agreement with those obtained from experimental data. This analysis shows that the experimental pendulum has a rich response, presenting periodic response, chaos and transient chaos. (c) 2006 Elsevier Ltd. All rights reserved.