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Abstract
The planar response of horizontal massive taut strings, travelled by a heavy point-mass, either driven by an assigned force, or moving with an assigned law, is studied. A kinematically exact model is derived for the free boundary problem via a variational approach, accounting for the singularity in the slope of the deflected string. Reactive forces exchanged between the point-mass and the string are taken into account via Lagrange multipliers. The exact model is consistently simplified via asymptotic analysis, which leads to condense the horizontal displacement as a passive variable. The dynamic increment of tension, with respect the static one, is neglected in the governing equations, but evaluated a posteriori, as a higher-order quantity in a perturbation perspective. The equations are solved and rearranged in the form of an integral equation coupled with an integro-differential equation, thus extending a procedure already introduced in the literature. Numerical results, showing the importance of the horizontal reactive force on the quality of motion, are discussed, generalizing those relevant to massless strings.
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Authors (4)
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Manuel Feretti Dr
- International Research Center on Mathematics andMechanics of Complex Systems, University of L’Aquila,67100 L’Aquila, Italy
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Serge Gavrilov Dr. hab.
- Institute for Problems in Mechanical Engineering RAS, St.Petersburg, Russia
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Angelo Luongo Dr. Prof
- International Research Center on Mathematics andMechanics of Complex Systems, University of L’Aquila, 67100 L’Aquila, Italy
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Full text
- Publication version
- Accepted or Published Version
- License
- Copyright (2019 Springer Nature B.V.)
Keywords
Details
- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
-
NONLINEAR DYNAMICS
no. 97,
pages 2201 - 2218,
ISSN: 0924-090X - Language:
- English
- Publication year:
- 2019
- Bibliographic description:
- Feretti M., Gavrilov S., Eremeev V., Luongo A.: Nonlinear planar modeling of massive taut strings travelled by a force-driven point-mass// NONLINEAR DYNAMICS. -Vol. 97, iss. 4 (2019), s.2201-2218
- DOI:
- Digital Object Identifier (open in new tab) 10.1007/s11071-019-05117-z
- Verified by:
- Gdańsk University of Technology
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