手法を比較

	有限要素解析	モーダル解析	統計的信頼性解析
分野	材料科学	製造工学	信頼性
系統	Process / pipeline	Process / pipeline	Regression model
提唱年	1943	1975	1998
提唱者	Richard Courant	Clough, R. W., Penzien, J.	William Meeker & Luis Escobar
種類	Computational method	Computational method for structural dynamics	Parametric lifetime modeling
原典	Zienkiewicz, O. C., & Taylor, R. L. (1977). The Finite Element Method in Engineering Science. McGraw-Hill.	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
別名	FEA, finite element method	Eigenvalue analysis, Frequency response analysis, Natural frequencies	Life Data Analysis, Survival Analysis (Engineering), Time-to-Failure Analysis, Güvenilirlik Analizi
関連	4	4	3
概要	Finite Element Analysis (FEA) is a numerical technique for obtaining approximate solutions to boundary value problems described by differential equations. Developed systematically by Richard Courant in 1943 and popularized by Clough in the 1960s, FEA divides a complex domain into smaller, simpler elements to solve engineering problems involving stress, strain, heat transfer, and fluid flow. It is the dominant computational method in materials science for predicting material behavior under various loading conditions.	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.