𝔖 Bobbio Scriptorium
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PERIODIC SOLUTIONS OF A MULTI-DOF BEAM SYSTEM WITH IMPACT

✍ Scribed by E.L.B. van de Vorst; D.H. van Campen; A. de Kraker; R.H.B. Fey


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
513 KB
Volume
192
Category
Article
ISSN
0022-460X

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✦ Synopsis


The steady state behaviour is analyzed of a periodically driven multi-DOF beam system which has an elastic stop at its middle. The elastic stop is modelled in a continuous way by using the contact law of Hertz. The beam is modelled by using finite elements and subsequently reduced by using a component mode synthesis method. The steady state behaviour of the system reduced to one, two and four DOF's is investigated by calculating periodic solutions at varying excitation frequency. Periodic solutions are calculated by solving two-point boundary value problems by the multiple shooting method in combination with a path-following technique. It is shown that models with more than one DOF are required for a good assessment of the long-term behaviour of the system.


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## Abstract A delayed periodic Lotka–Volterra type population model with __m__ predators and __n__ preys is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and by constructing suitable Lyapunov functionals, sufficient conditions are derived for the exist