On the Timoshenko Beam Vibrating under an Obstacle Condition

Meccanica

Volumn 32, Issue 2, 1997, Pages 101-114

  Marchionna, C ^a   Panizzi, S ^b  

^a POLITECNICO DI MILANO   (Italy)

^b UNIVERSITY OF PARMA   (Italy)

Author keywords

Beams; Dynamic contact; Structural dynamics; Vibrations (structures)

Indexed keywords

BEAMS AND GIRDERS; BOUNDARY VALUE PROBLEMS; ELASTIC MODULI; IMPACT RESISTANCE; MATHEMATICAL MODELS; VIBRATIONS (MECHANICAL);

DYNAMIC CONTACT; SHEAR MODULUS; STRUCTURAL DYNAMICS; TIMOSHENKO BEAM;

DYNAMICS;

EID: 0031123697     PISSN: 00256455     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1004270914455     Document Type: Article

References (7)

1. Timoshenko, S.P., 'On the correction for shear of the differential equation for transverse vibrations of prismatic bars', Philosophical Magazine, 41 (1921) 744-746.
2. Amerio, L., 'On the elastic impact of two vibrating strings with different characteristic velocities: study of a free-boundary unilateral problem', Rend. Accad. Naz. Sci. XL, Mem. Mat., 107 (1989), Vol. XIII (22), 341-380.
3. Amerio, L., 'Studio del moto di una corda vibrante contro una parete di forma qualsiasi, sotto l'azione di una forza esterna arbitraria; domini di appoggio: un problema unilaterale di frontiera libera', Rend. Accad. Naz. Sci. XL, Mem. Mat., 102 (1984), Vol. VIII (10), 185-246.
4. Citrini, C., 'Controesempi all'unicità del moto di una corda in presenza di una parete', Atti Acc. Naz. Lincei, 8 (1979) 179-185.
5. Washizu, K., Variational Methods in Elasticity and Plasticity, Ch. 7, Sect. 7, Pergamon, London, 1968.
6. Arosio, A., Panizzi, S. and Paoli, M.G., 'Inhomogeneous Timoshenko beam equations', Math. Meth. Appl. Sci., 15 (1992) 621-630.
7. Amerio, L., 'Impulse, work and impact formulas for vibrating membranes subject to single layer forces', Nonlinear Analysis - A tribute to Giovanni Prodi, Quad. Sc. Norm. Sup. Pisa, (1991) 61-76.