Electric Vehicle Mechanical Transmission System Based on Fractional Differential Equations

This paper introduces a method for dynamic loading of human-vehicle powertrains during dangerous driving. At the same time, this paper establishes a performance evaluation index of the human-vehicle (electric vehicle) powertrain system based on the second derivative functional. We have analyzed and...

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Main Author: You Zhuan
Format: Article
Language:English
Published: Sciendo 2023-01-01
Series:Applied Mathematics and Nonlinear Sciences
Subjects:
Online Access:https://doi.org/10.2478/amns.2022.2.0086
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author You Zhuan
author_facet You Zhuan
author_sort You Zhuan
collection DOAJ
description This paper introduces a method for dynamic loading of human-vehicle powertrains during dangerous driving. At the same time, this paper establishes a performance evaluation index of the human-vehicle (electric vehicle) powertrain system based on the second derivative functional. We have analyzed and established the calculation formula of the excitation force of the electric vehicle drive train in unstable driving conditions. We use the numerical solution method to perform the dynamic model simulation calculation on MATLAB. The study found that the high-frequency excitation force increases the amplitude of the acceleration power spectrum of the electric vehicle system. At the same time, the research results prove that the state-space model of the electric vehicle vibration system and the selected parameter values are effective.
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spelling doaj.art-e8d34c8b82874efba9e12077d4d89f572023-09-11T07:01:09ZengSciendoApplied Mathematics and Nonlinear Sciences2444-86562023-01-018198999810.2478/amns.2022.2.0086Electric Vehicle Mechanical Transmission System Based on Fractional Differential EquationsYou Zhuan01School of Automobile and Transportation, Wuxi Institute of Technology, Wuxi, 214121, ChinaThis paper introduces a method for dynamic loading of human-vehicle powertrains during dangerous driving. At the same time, this paper establishes a performance evaluation index of the human-vehicle (electric vehicle) powertrain system based on the second derivative functional. We have analyzed and established the calculation formula of the excitation force of the electric vehicle drive train in unstable driving conditions. We use the numerical solution method to perform the dynamic model simulation calculation on MATLAB. The study found that the high-frequency excitation force increases the amplitude of the acceleration power spectrum of the electric vehicle system. At the same time, the research results prove that the state-space model of the electric vehicle vibration system and the selected parameter values are effective.https://doi.org/10.2478/amns.2022.2.0086electric vehiclemechanical transmissionfractional differential equationhigh-frequency vibration34a08
spellingShingle You Zhuan
Electric Vehicle Mechanical Transmission System Based on Fractional Differential Equations
Applied Mathematics and Nonlinear Sciences
electric vehicle
mechanical transmission
fractional differential equation
high-frequency vibration
34a08
title Electric Vehicle Mechanical Transmission System Based on Fractional Differential Equations
title_full Electric Vehicle Mechanical Transmission System Based on Fractional Differential Equations
title_fullStr Electric Vehicle Mechanical Transmission System Based on Fractional Differential Equations
title_full_unstemmed Electric Vehicle Mechanical Transmission System Based on Fractional Differential Equations
title_short Electric Vehicle Mechanical Transmission System Based on Fractional Differential Equations
title_sort electric vehicle mechanical transmission system based on fractional differential equations
topic electric vehicle
mechanical transmission
fractional differential equation
high-frequency vibration
34a08
url https://doi.org/10.2478/amns.2022.2.0086
work_keys_str_mv AT youzhuan electricvehiclemechanicaltransmissionsystembasedonfractionaldifferentialequations