University of North Texas Digital Library (University of North Texas) · 1934 · 53 citations · 0 references
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EngineeringMaterials ScienceMechanical EngineeringStructural AnalysisStructural DynamicsStructural EngineeringBending Of BeamsBuckling AnalysisElastic DeformationElasticity TheoryImpact MechanicsStructural MechanicsBucklingBuckling BehaviorBuckling Of Elastic StructuresElastic BucklingImpact BucklingImpact-induced BucklingShock AnalysisStructural Impact Response
"Following the development of the well-known differential equations of the problem and their resolution for failure in tension, the bending (transverse) oscillations of an originally not quite straight bar hinged at both ends and subjected to a constant longitudinal force (shock load) are analyzed. To this end the course of the bar form is expanded in a sinusoidal series, after which the investigation is carried through separately for the fundamental oscillation and the (n-1)the higher oscillations. The analysis of the fundamental oscillation distinguishes three cases: shock load lower, equal to, or higher than the Eulerian load" (p. 1).