ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 1980 · 35 citations · 0 references
EngineeringCivil EngineeringMechanical EngineeringComputational MechanicsFinite Element AnalysisFinite Element MethodsDynamic Response AnalysisElastic DeformationElasticity TheoryStability CriteriaStructural Finite Element AnalysisStructural Response AnalysisElastic AnalysisElastic ModuliElastic StabilityElastic Stability AnalysisElasticity ProblemsFinite Element Methods In ElasticityGalerkin DiscretizationRayleigh Quotient
Abstract By including the length, shape and elastic moduli as additional parameters the problem of elastic stability acquires a new formulation permitting us to establish stability criteria independent of the usual manipulation of the Rayleigh quotient, or of the Rayleigh‐Ritz, or Galerkin schemes. Moreover, this technique permits us to establish two‐sided estimates concerning the values of critical loads in a manner much simpler than the Weinstein or Fichera procedures.