So sánh phương pháp

	Phân tích phần tử hữu hạn	Phân tích tần số riêng	Phân tích độ tin cậy thống kê
Lĩnh vực	Khoa học vật liệu	Sản xuất chế tạo	Độ tin cậy
Họ	Process / pipeline	Process / pipeline	Regression model
Năm ra đời	1943	1975	1998
Người khởi xướng	Richard Courant	Clough, R. W., Penzien, J.	William Meeker & Luis Escobar
Loại	Computational method	Computational method for structural dynamics	Parametric lifetime modeling
Công trình gốc	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
Tên gọi khác	FEA, finite element method	Eigenvalue analysis, Frequency response analysis, Natural frequencies	Life Data Analysis, Survival Analysis (Engineering), Time-to-Failure Analysis, Güvenilirlik Analizi
Liên quan	4	4	3
Tóm tắt	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.