International Journal for Numerical Methods in Engineering · 1970 · 25 citations · 6 references
EngineeringCivil EngineeringStructural AnalysisStructural DynamicsStructural EngineeringFree VibrationModal AnalysisNatural FrequenciesStructural MechanicsStructural VibrationVibration AnalysisComputational Free Vibration AnalysisEigenfrequency AnalysisFree Damped VibrationFree Vibration ResponseNatural Frequency AnalysisStructural Vibration AnalysisSturm SequencesUndamped Free Vibration
Abstract A general digital computer method based on a Sturm sequence procedure is described for determining the natural frequencies and associated modes of undamped free vibration of frames and other structures whose stiffness and mass matrices are of band form. A program which uses the method for the analysis of plane multi‐storey building frames is outlined, and numerical results are presented for a simple test case and for a 19‐storey frame.
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The Algebraic Eigenvalue Problem
E. I., J. H. Wilkinson · Mathematics of Computation · 1966 · 5.2K citations
Theory of matrix structural analysis
M. Petyt · Journal of Sound and Vibration · 1969 · 1.2K citations
Grover Lee Rogers, Frank L. DiMaggio · Journal of Applied Mechanics · 1960 · 45 citations · Full text