an:01625977
Zbl 1013.74033
Kuttler, Kenneth L.; Shillor, Meir
Vibrations of a beam between two stops
EN
Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 8, No. 1, 93-110 (2001).
00075329
2001
j
74H45 74K10 74H20 74H25 74M15
dynamic contact; impact; viscoelastic beam; constrained vibrations; elastic beam; existence; weak solutions; Signorini unilateral condition; rigid stops; normal compliance condition; uniqueness
Summary: We establish the existence of weak solutions for a model that describes the vibrations of a beam which has one of its ends constrained between two stops. The contact at the free end is modeled either by the classical Signorini unilateral condition, for rigid stops, or by the normal compliance condition, for flexible stops. The beam is considered either elastic or viscoelastic. We prove the uniqueness of weak solution for the problem with viscoelastic beam with normal compliance.