مقایسهٔ روش‌ها

	تحلیل مودال	تولید مسیر ابزار CNC
حوزه	ساخت و تولید	ساخت و تولید
خانواده	Process / pipeline	Process / pipeline
سال پیدایش	1975	1990s
پدیدآور	Clough, R. W., Penzien, J.	Elbestawi, M. A. et al.
نوع	Computational method for structural dynamics	Computational method for manufacturing automation
منبع بنیادین	Clough, R. W., & Penzien, J. (1975). Dynamics of Structures. McGraw-Hill. ISBN: 0-07-011394-7	Elbestawi, M. A., Papazafiriou, T., & Du, R. (1994). In-process detection of tool wear in milling using cutting force signature. International Journal of Machine Tools and Manufacture, 34(4), 555-566.
نام‌های دیگر	Eigenvalue analysis, Frequency response analysis, Natural frequencies	NC tool path planning, Toolpath programming
مرتبط	4	5
خلاصه	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.	CNC tool path generation is the computational process of determining the precise sequence and trajectory of tool movements required to machine a workpiece on computer numerical control (CNC) machines. Developed from the intersection of numerical control automation and computational geometry in the 1990s, this method translates CAD designs into executable machine instructions, enabling efficient and accurate manufacturing of complex parts.