Journal of the Society for Industrial and Applied Mathematics · 1963 · 24 citations · 2 references
EngineeringComputational EngineeringMechanical EngineeringComputational MechanicsStructural DynamicsVibrationBeam TheoryMode ShapesNatural FrequenciesNumerical Linear AlgebraStructural VibrationVibration AnalysisBeam VibrationComputational Free Vibration AnalysisEigenmode AnalysisNatural Frequency AnalysisNormal ModesStructural Vibration AnalysisVibrating BeamsVibration Analysis Of Beams
This paper presents a technique for computing natural frequencies and normal modes of vibrating beams. The novelty of the method lies in the fact that all problems lead to the determination of the characteristic numbers of a symmetric matrix with nonzero determinant, for which numerical methods applicable only to symmetric matrices may be used.
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