Out-of-plane instability and vibrations of a flexible circular arch under a moving load

DOI10.1142/S021945542550049XzbMATH Open1548.74283MaRDI QIDQ6538401

G. H. M. van der Heijden, Author name not available (Why is that?)

Publication date: 14 May 2024

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

zbMATH Keywords

large deformationmoving loadCosserat roddelay effectout-of-plane bucklingcircular archgeneralized-\( \alpha\) method

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45)

Cites Work

• Title not available (Why is that?)
• Non-linear inplane deformation and buckling of rings and high arches
• Large displacement theory of thin-walled curved members and its application to lateral-torsional buckling analysis of circular arches
• In-plane stability of arches
• The analysis of the generalized-\(\alpha\) method for nonlinear dynamic problems
• Dynamic torsional buckling: prebuckling waves and delayed instability
• A note on mathematical treatment of the Dirac-delta function in the differential quadrature bending and forced vibration analysis of beams and rectangular plates subjected to concentrated loads
• Nonlinear dynamics and loop formation in Kirchhoff rods with implications to the mechanics of DNA and cables
• A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
• Nonlinear problems of elasticity
• Historical review on resonance and cancellation of simply supported beams subjected to moving train loads: from theory to practice

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