مقایسهٔ روش‌ها

	تحلیل مودال	تحلیل قابلیت اطمینان آماری
حوزه	ساخت و تولید	قابلیت اطمینان
خانواده	Process / pipeline	Regression model
سال پیدایش	1975	1998
پدیدآور	Clough, R. W., Penzien, J.	William Meeker & Luis Escobar
نوع	Computational method for structural dynamics	Parametric lifetime modeling
منبع بنیادین	Clough, R. W., & Penzien, J. (1975). Dynamics of Structures. McGraw-Hill. ISBN: 0-07-011394-7	Meeker, W. Q., & Escobar, L. A. (1998). Statistical Methods for Reliability Data. Wiley. ISBN: 978-0-471-14328-4
نام‌های دیگر	Eigenvalue analysis, Frequency response analysis, Natural frequencies	Life Data Analysis, Survival Analysis (Engineering), Time-to-Failure Analysis, Güvenilirlik Analizi
مرتبط	4	3
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.	Statistical reliability analysis models the time-to-failure of components, systems, or products using parametric lifetime distributions fitted to observed or censored failure data. Formalized comprehensively by William Q. Meeker and Luis A. Escobar in their 1998 Wiley monograph, the framework integrates maximum likelihood estimation, censoring mechanisms, and distributional diagnostics to produce probability-of-failure curves, hazard rates, and quantile estimates that support design, warranty, and maintenance decisions.