Periodic vibrations of a beam with rigidly sealed ends

DOI10.1007/s10958-021-05412-4zbMath1464.74069OpenAlexW3165210416MaRDI QIDQ2027498

Igor' Alekseevich Rudakov

Publication date: 27 May 2021

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-021-05412-4

zbMATH Keywords

existenceuniquenessLeray-Schauder principle

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

• Oscillation equation of a beam with fixed and pivotally supporter ends
• Exact \(L_2\)-small ball behavior of integrated Gaussian processes and spectral asymptotics of boundary value problems
• Problem on periodic vibrations of an I-beam with clamped endpoint in the resonance case
• Periodic solutions to quasilinear oscillation equations for cables and beams
• Variational and topological methods in nonlinear problems