P-Bifurcation Analysis of a Quarter-Car Model with Inerter-based Pendulum Vibration Absorber: A Wiener Path Integration Approach

IF 1.9 4区 工程技术 Q3 ENGINEERING, MECHANICAL
Joel A. Cosner, Wei-Che Tai
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Abstract

In this theoretical study, a recently developed inerter-based pendulum vibration absorber (IPVA) coupled with energy harvesting capabilities is applied to the quarter car model with class C road conditions (ISO 8608). The impact of varying the pendulum length parameter on power harvesting, ride comfort (sprung mass acceleration), and road handling is investigated. It is discovered that P-bifurcation of the probability density function (PDF), can simultaneously occur with enhanced output power (40% improvements), low sprung mass acceleration (60% improvements), and better road handling (60% improvements) when compared with the linear benchmark system. To predict this bifurcation, a Wiener path integration (WPI) method coupled with curvature checking is developed for the PDF. An efficient bifurcation detection algorithm is developed which leads to the prediction of monomodal, bimodal, and rotation PDF regions in the noise intensity-electrical damping plane. Using Monte Carlo simulations (MCS), the performance metrics were then compared against the optimal linear benchmark for varying driving speed on a class F road while varying the electrical damping so that the system is at or near P-bifurcation. Energy transfer into the electrical domain and power harvested is shown to be up to 43% and 20% higher than for the optimized linear system, respectively. Electrical efficiency considerations show that generator selection is also a factor. Ride comfort and road handling still saw improvements of at least 59%. Finally, the new algorithm effectively reduces an exhaustive MCS for various parameter configurations when qualitative changes in the PDF are linked to performance.
带有感应器摆式振动吸收器的四分车模型的 P 型分岔分析:维纳路径积分法
在本理论研究中,将最近开发的具有能量收集能力的基于互激器的摆振减振器(IPVA)应用于C级道路条件(ISO 8608)的四分之一汽车模型。研究了不同摆长参数对动力收集、乘坐舒适性(簧载质量加速度)和道路操控性的影响。研究发现,与线性基准系统相比,概率密度函数(PDF)的p分岔可以同时发生,输出功率增强(改进40%),簧载质量加速度降低(改进60%),道路处理更好(改进60%)。为了预测这种分叉,提出了一种结合曲率校核的Wiener路径积分方法。提出了一种有效的分岔检测算法,可在噪声强度-电阻尼平面上预测单模、双峰和旋转PDF区域。使用蒙特卡罗模拟(MCS),将性能指标与F类道路上改变驾驶速度的最佳线性基准进行比较,同时改变电阻尼,使系统处于或接近p分岔。与优化后的线性系统相比,进入电域的能量转移和收获的功率分别高出43%和20%。电力效率方面的考虑表明,发电机的选择也是一个因素。乘坐舒适性和路面操控性仍有至少59%的改善。最后,当PDF的质变与性能相关时,新算法有效地减少了各种参数配置的穷举MCS。
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来源期刊
CiteScore
4.00
自引率
10.00%
发文量
72
审稿时长
6-12 weeks
期刊介绍: The purpose of the Journal of Computational and Nonlinear Dynamics is to provide a medium for rapid dissemination of original research results in theoretical as well as applied computational and nonlinear dynamics. The journal serves as a forum for the exchange of new ideas and applications in computational, rigid and flexible multi-body system dynamics and all aspects (analytical, numerical, and experimental) of dynamics associated with nonlinear systems. The broad scope of the journal encompasses all computational and nonlinear problems occurring in aeronautical, biological, electrical, mechanical, physical, and structural systems.
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