Closed-form dynamic stiffness formulation for exact modal analysis of tapered and functionally graded beams and their assemblies
Xiang Liu, Le Chang, J.R. Banerjee, Han-Cheng Dan
Topics & Concepts
DiscretizationBeam (structure)VibrationStiffnessBoundary value problemTimoshenko beam theoryModalStructural engineeringTransverse planeBendingRange (aeronautics)MathematicsMathematical analysisPhysicsMaterials scienceEngineeringAcousticsComposite materialPolymer chemistryComposite Structure Analysis and OptimizationAeroelasticity and Vibration ControlStructural Health Monitoring Techniques