Engineering Transactions, 21, 4, pp. 621–640, 1973

Nieskończona Sprężysta Belka Timoshenki Uderzona Poprzecznie Skończonym Prętem Sprężystym

S.J. Kowalski
Instytut Mechaniki Technicznej, Poznań
Poland

The author calculates the duration of impact, contact forces and the mechanical energy trans- mitted from the rod to the beam; analysis of free vibrations of the beam after the rod is rebounded is also presented. It is shown that the increase of bending rate, bending moment and shear forces during the first phase of impact is greater in the case of rods of larger densities and Young moduli. the second phase of motion, however, the beam velocity and shearing forces decrease less rapidly, and the bending moments exhibit Jarger amplitudes in the case of rods of smaller densities and Young moduli (their mass being kept constant).
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References

M.A. DENGLER, M. GOLAND, Transverse impact of long beams, rotory inertia and shear effects, Proc. 1-st U.S. Nat. Congr. Appl. Mech., Asme, 1951.

M. GOLAND, P. D. WICKERSHAM, M. A. DENGLER, Propagation of elastic impact in beams in bending, J. Appl. Mech., 22, Trans. Asme, 77, 1 - 7, 1955.

W. GOLDSMITH, Impact, E. Arnold, London 1961.

B. A. BOLEY, An approximate theory of lateral impact on beams, J. Appl. Mech., 22. Trans. Asme, 77, 69 - 76, 1955.

K. WILMANSKI, Obciążenia dynamiczne belek. Belka Timoshenki, Mech. Teoret. i Stos., 2, 2, PWN, Warszawa 1964.

S. RANGANATH, Normal impact an infinite elastic beam by a semi-infinite elastic rod, J. Appl. Mech. Trans. Asme, 455 - 460, 1971.

R. J. CLIFTON, S. RANGANATH, Normal impact of' an infinite elastic-plastic beam by a semi-infinite elastic rod, Brown University, Technical Repart AFML-TR-71-105, 1971.

B. A. BOLEY, C. C. CHAO, Some solutions of the Timoshenko beam equations, J. Appl. Mech., 22, Trans. Asme, 77, 579 - 586, 1955.

S. KALISKI i inni, Drgania i fale, PWN, Warszawa 1966.

W. T. THOMSON, Laplace transformation, Prenice-Hall, INC, 1960.