Modal analysis of elastic-viscoplastic Timoshenko beam vibrations

DOI10.1007/BF01172809zbMath0897.73035MaRDI QIDQ1384826

D. Massart

Publication date: 19 October 1998

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

iterative proceduredynamic Green's functionsductile damageaveraged inelastic shear angleseigenstrain resultantsinelastic curvatureslinear dynamic solution methods

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Vibrations in dynamical problems in solid mechanics (74H45)

Related Items (2)

Dynamic inelastic structural analysis by the BEM: a review ⋮ Application of the homotopy method for the analytic approach of the nonlinear free vibration analysis of the simple end beams using four engineering theories

Cites Work

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• Biaxial dynamic bending of elastoplastic beams
• Elastodynamics of thin plates with internal dissipative processes. I: Theoretical foundations
• Elasto-plastic coupling within a thermodynamic strain space formulation of plasticity
• A dynamic model for a Timoshenko beam in an elastic-plastic state
• Dynamic response of thick elastic-plastic beams
• Elastodynamics of thin plates with internal dissipative processes. II: Computational aspects
• On the Effect of Shear on Plastic Deformation of Beams Under Transverse Impact Loading
• Dominance of Shear Stresses in Early Stages of Impulsive Motion of Beams
• On the Uniqueness of Exterior Boundary Value Problems in Viscoelastic Fluids
• The constitutive equations for rate sensitive plastic materials
• The Influence of Rotatory Inertia and Transverse Shear on the Dynamic Plastic Behavior of Beams

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