A simple criterion for finite time stability with application to impacted buckling of elastic columns

DOI10.1007/s10483-018-2311-9zbMath1383.74042OpenAlexW2782966468MaRDI QIDQ1708205

Peng Zhang

Publication date: 4 April 2018

Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-018-2311-9

zbMATH Keywords

stabilitybucklingstability criterionimpactdynamic bucklingfinite timeelastic columnHoff problem

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

Cites Work

• Unnamed Item
• Dynamic bifurcation buckling of an impacted column
• On the dynamic stability of viscoelastic perfect columns
• A new condition for finite time boundedness analysis
• Necessary and sufficient conditions for finite-time stability of impulsive dynamical linear systems
• Buckling of a column under a constant speed compression: a dynamic correction to the Euler formula
• DYNAMIC STABILITY OF INITIALLY CROOKED COLUMNS UNDER A TIME-DEPENDENT AXIAL DISPLACEMENT OF THEIR SUPPORT
• Hoff’s Problem in a Probabilistic Setting
• Finite-Time Stability of Continuous Autonomous Systems
• On the extensible viscoelastic beam

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