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Vibration Analysis of Skeletal Systems Using a Mixed Formulation with an Arnoldi-Based Nonlinear Eigensolution Technique.
Singh, R. K.; Smith, H. A.
National Science Foundation, Washington, DC., December 1993, 192 p.
Vibration analyses of structural systems are concerned with accurately predicting the natural frequencies and mode shapes of the vibrating system. This analysis process involves two general parts: the dynamic finite element model of the physical system and the numerical algorithm for determining the frequencies and mode shapes from the model. The finite element model establishes the number of equations of motion (degrees-of-freedom) needed to accurately define the behavior of the vibrating system, and the numerical algorithm extracts the frequencies and mode shapes of the system from the resulting eigenproblem. To optimize the effectiveness of a dynamic analysis procedure, both the finite element model and the eigensolution technique must be chosen such that the desired accuracy can be obtained with the most efficient use of computer resources.
; Eigenvalues; Dynamic response; Vibration mode; Earthquake engineering; Structural vibration; Matrices (Mathematics); Finite element method; Vibration damping; Degrees of freedom; Resonant frequency; Structural analysis; Algorithms; Nonlinear systems