On a lower bound for the instability range of Beck's rod

DOI10.1016/0093-6413(84)90046-6zbMath0574.73071OpenAlexW2094000019MaRDI QIDQ1063459

H. H. E. Leipholz

Publication date: 1984

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0093-6413(84)90046-6

zbMATH Keywords

designcritical valueslower boundLyapunov-like functionalboundary eigenvalue probleminstability range of Beck's rodlateral vibrational deflectionsmounted on a satellitesafe datumslender antenna armstable without spilloverunconditionally stable control

Mathematics Subject Classification ID

Controllability (93B05) Vibrations in dynamical problems in solid mechanics (74H45) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Bifurcation and buckling (74G60) Optimization problems in solid mechanics (74P99)

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