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Chaos and transient chaos in an experimental nonlinear pendulum

机译:实验性非线性摆的混沌和瞬态混沌

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摘要

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.
机译:摆锤是一种机械设备,可激发技术或科学研究,与时间,稳定设备以及弹道应用程序相关。摆的非线性特性引起了人们的广泛关注,它们被用来描述与振荡,分叉和混沌有关的不同现象。这种贡献的主要目的是分析实验非线性摆中的混沌。摆锤由具有集总质量的圆盘组成,该圆盘连接到旋转运动传感器。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。磁性设备可提供可调节的能量耗散。对这个实验装置进行建模并进行数值模拟。对自由振动和强制振动进行了分析,结果表明数值结果与从实验数据中得出的结果非常一致。该分析表明,实验摆具有丰富的响应,呈现出周期性响应,混沌和瞬时混沌。 (c)2006 Elsevier Ltd.保留所有权利。

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