Numerical Continuation in a Physical Experiment: Investigation of a Nonlinear Energy Harvester
Numerical Continuation in a Physical Experiment: Investigation of a Nonlinear Energy Harvester
复制标题
DOI：
10.1115/1.4002380
复制
发表时间：
2009
影响因子：
2
通讯作者：
D. Barton;S. Burrow
中科院分区：
文献类型：
--
作者：
D. Barton;S. Burrow
在本文中，我们演示了在物理实验中使用数值延拓：一个非线性能量采集器，用于将振动能转换为可用的电能。为了使周期轨道的一个分支通过鞍结分岔并沿着不稳定周期轨道的相关分支继续，使用了一种改进的时滞控制器。在延拓中的每一步，伪弧长方程被附加到一组方程，以确保控制器是非侵入性的。使用拟牛顿迭代求解所得到的非线性系统，其中非线性系统的每次评估都需要改变实验的激励参数并测量响应。我们给出了能量采集器在多种不同配置下的连续结果。版权所有© 2009 by ASME
In this paper we demonstrate the use of numerical continuation within a physical experiment: a nonlinear energy harvester, which is used to convert vibrational energy into usable electrical energy. To continue a branch of periodic orbits through a saddle-node bifurcation and along the associated branch of unstable periodic orbits, a modified time-delay controller is used. At each step in the continuation the pseudo-arclength equation is appended to a set of equations that ensure that the controller is non-invasive. The resulting nonlinear system is solved using a quasi-Newton iteration, where each evaluation of the nonlinear system requires changing the excitation parameters of the experiment and measuring the response. We present the continuation results for the energy harvester in a number of different configurations.Copyright © 2009 by ASME