Dynamics and Stability of support excited beam-colums with end mass

DOI10.1080/02681118608806014zbMath0651.73016OpenAlexW2059976526MaRDI QIDQ3796844

William J. Bottega

Publication date: 1986

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02681118608806014

zbMATH Keywords

frequency equationeigenfunction expansionsystem of differential equationsboundedness of the solutionsgeneral equations of motionsupport motionorthonormal set of eigenfunctionsexcited harmonicallycantilevered beam-columnfree transverse vibration problemlongitudinal excitationsecond-order system of ordinary differential equations with periodically variing coefficientsset of mode shapestranslating beam-column

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stability in context of PDEs (35B35) Stability of dynamical problems in solid mechanics (74H55) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10)

Related Items (1)

Feedback control of vibrations in an extendible cantilever wing

Cites Work

• Unnamed Item
• Simple and combination resonances of columns under periodic axial loads
• Further Results on Parametric Excitation of a Dynamic System
• Some remarks on a class of eigenvalue problems with special boundary conditions

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