Stability Prediction on Mathieu Equation of Delayed Periodic Term Based on Full-Discretization Method

Liang Meng; Ming Zhen Li; Shan Jun Li; Yan Lin Zhang

doi:10.4028/www.scientific.net/AMM.364.197

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 364Stability Prediction on Mathieu Equation of...

Stability Prediction on Mathieu Equation of Delayed Periodic Term Based on Full-Discretization Method

Abstract:

Delay Periodic Mathieu Equation (DPME), a kind of Delay differential equation (DDE), is used modeling machining operation. Stability analysis of DDE denotes the stable and unstable area between spindle speed and cutting depth of machining situation. This paper presents full-discretization method (FDM) to analyze stability for delayed periodic Mathieu Equation. Stability lobes are constructed for DPME with different time-period/time-delay ratios

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Applied Mechanics and Materials (Volume 364)

Pages:

197-201

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.364.197

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Online since:

August 2013

Authors:

Liang Meng, Ming Zhen Li, Shan Jun Li, Yan Lin Zhang

Keywords:

Full-Discretization Method, Machining Stability, Mathieu Equation

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