分数阶非完整约束阻尼系统的拉格朗日公式

IF 0.5 Q3 MATHEMATICS Advances in Pure and Applied Mathematics Pub Date : 2023-01-01 DOI:10.4236/apm.2023.139037
Ola A. Jarab’ah
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引用次数: 0

摘要

给出了分数阶非完整约束阻尼系统的分数阶欧拉-拉格朗日方程。运动方程是用分数欧拉-拉格朗日方程得到的,与通常的方法类似。分数阶方法的结果简化为μ→0和α、β→1为等单位时的经典方法的结果。本文用实例对这项工作进行了讨论。
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Lagrangian Formulation of Fractional Nonholonomic Constrained Damping Systems
Fractional Euler Lagrange equations for fractional nonholonomic constrained damping systems have been presented. The equations of motion are obtained using fractional Euler Lagrange equations in a similar manner to the usual technique. The results of fractional method reduce to those obtained from classical method when μ →0 and α,β →1 are equal unity only. This work is discussed using illustrative example.
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CiteScore
0.70
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0.00%
发文量
12
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