השוואת שיטות

	ניתוח אלמנטים סופיים	ניתוח מודאלי
תחום	מדעי החומרים	ייצור
משפחה	Process / pipeline	Process / pipeline
שנת המקור	1943	1975
הוגה השיטה	Richard Courant	Clough, R. W., Penzien, J.
סוג	Computational method	Computational method for structural dynamics
מקור מכונן	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
כינויים	FEA, finite element method	Eigenvalue analysis, Frequency response analysis, Natural frequencies
קשורות	4	4
תקציר	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.