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	テイラーの工具寿命式	モーダル解析
分野	製造工学	製造工学
系統	Process / pipeline	Process / pipeline
提唱年	1907	1975
提唱者	Frederick Winslow Taylor	Clough, R. W., Penzien, J.
種類	Tool wear prediction model	Computational method for structural dynamics
原典	Taylor, F. W. (1907). On the art of cutting metals. Transactions of the American Society of Mechanical Engineers, 28, 31-350.	Clough, R. W., & Penzien, J. (1975). Dynamics of Structures. McGraw-Hill. ISBN: 0-07-011394-7
別名	Taylor's equation, Tool life prediction, VT relationship	Eigenvalue analysis, Frequency response analysis, Natural frequencies
関連	4	4
概要	Taylor's tool life equation is an empirical relationship predicting how long a cutting tool remains usable before dulling or breaking, expressed as a function of cutting speed, feed rate, and depth of cut. Formulated by Frederick Winslow Taylor in 1907 from systematic experiments on metal cutting, this method provides a practical framework for optimizing machining operations by balancing productivity against tool wear and cost.	Modal analysis is a computational and experimental method for determining the natural frequencies and associated mode shapes of a mechanical structure. By decomposing structural vibration into its fundamental modes (natural oscillation patterns), engineers can predict resonance frequencies, assess dynamic response to external forces, and design structures to avoid problematic vibrations. Developed rigorously by Clough and Penzien in their foundational work on structural dynamics, modal analysis is essential for designing robust mechanical systems.