Stability Prediction on Mathieu Equation of Delayed Periodic Term Based on Full-Discretization Method
Applied Mechanics and Materials(2013)
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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Key words
full-discretization method,machining stability,mathieu equation
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