International Journal for Numerical Methods in Engineering · 1972 · 49 citations · 7 references
EngineeringCivil EngineeringComputational EngineeringFinite Element AnalysisFinite Element MethodsStructural EngineeringDynamic Response AnalysisEigenvalue ProblemsNumerical Linear AlgebraStructural MechanicsStructural Response AnalysisVibration AnalysisComputational Structural MechanicsDiscrete Eigenvalue ProblemsEigenfrequency AnalysisEigenmode AnalysisEigenvalue AlgorithmsEigenvalue ComputationNatural Frequency AnalysisSturm Sequences
Abstract A generalized eigenvalue algorithm is presented herein along with the complete listing of the associated computer program, which may be conveniently utilized for the efficient solution of certain broad classes of eigenvalue problems. Extensive applications of the procedure are envisaged in the analysis of many important engineering problems, such as stability and natural frequency analysis of practical discrete structural systems, idealized by the finite element technique. The procedure based on the Sturm sequence method is accurate and fast, possessing several significant advantages over other known methods of such analysis. Numerical results are also presented for two representative structural engineering problems.
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The Algebraic Eigenvalue Problem
E. I., J. H. Wilkinson · Mathematics of Computation · 1966 · 5.2K citations