Abstract
Effect of Depth/Span ratio on bending stress wave propagation and on dynamic stress concentration factor in cantilever beam (dynamic load factor, DLF) under transverse impact load was studied by means of high-speed photoelasticity. The photoelastic isochromatics for the entire impact duration were obtained, and propagation of bending stress waves was investigated. It was found that the upper limit of depth/span ratio for generating bending waves was about 0.57. Positive stress produced at the lower edge of the fixed end by stress wave going ahead of bending wave decreases with increasing h/1 and at h/l=0.55 and 0.91, this phenomenon is not observed. The results on DLF obtained from experiment were compared with theoretical solution by one dimensional equation for free vibrations of a beam in which transverse shear and rotary inertia were neglected. It was also shown that experimental results for DLF fell between theoretical solutions with the assumption of viscoelastic material and elastic material.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
REFERENCES
Barnhart KE, Goldsmith W (1957) Stresses in beams during transverse impact. J Appl Mech 24:440–446
Betser AA, Frocht MM (1957) A photoelastic study of maximum tensile stresses in simply supported short beams under central transverse impact. J Appl Mech 24:509–514
Clark JA, Durelli AJ (1970) Optical stress analysis of flexural waves in a bar. Trans ASME E37:331–338
Clark JA, Durelli AJ (1972) On the effect of initial stress on the propagation of flexural waves in elastic rectangular bars. J Acous Soc Amer 52:1077–1086
Colton LD, Herrmann G (1975) Dynamic fracture process in beams. Trans ASME E42:435–439
Cunningham DM, Goldsmith W (1956) An experimental investigation of beam stresses produced by oblique impact of a steel sphere. J Appl Mech 23:606–611
Denglar MA, Goland M (1951) Transverse impact of long beams, including rotatory inertia and shear effects. Proc first national cong Appl Mech 179–186
Doyle JF (1984) Further developments in determining the dynamic contact law. Exp Mech 24:10–16
Eringen AC (1953) Transverse impact on beams and plates. J Appl Mech 20:461–468
Freund LB, Herrmann G (1976) Dynamic fracture of a beam or plate in plane bending. Trans ASME E43:112–116
Goland M, Wickersham PD, Dengler MA (1955) Propagation of elastic impact in beams in bending. J Appl Mech 22:1–7
Goldsmith W, Cunningham DM (1956) An experimental investigation of the obligue impact of spheres upon simply supported steel beams. Proc SESA 14:171–180
Goldsmith W, Norris GW (1958) Stresses in curved beams due to transverse impact. Proc 3rd US National Cong Appl Mech 153–162
Goldsmith W (1960) Impact. London Edward Arnold Ltd P54–137
Hashimoto S, Kawata K (1984) On the effect of model material’s viscosity in high-speed photoelasticity. Proc 6th Japan Soc Photoelasticity 97–100
kida s, Oda J (1982) On fracture behavior of brittle cantilever beam subjected to lateral impact load. Exp Mech 22:69–74
Lee EH (1940) The impact of a mass striking a beam. J Appl Mech 5:A129–A138
Menkes SB, Opat HJ (1973) Broken Beams. Exp Mech 13:480–486
Sogabe Y, Kishida K, Nakagawa K (1981) Study of damping characteristics of a high-damping alloy by means of stress wave propagation. Proc Japan Soc Mech Eng 47:748–756
Suzuki S (1970) Dynamic stresses of viscoelastic beams produced by rigid impacter of finite velocity. Proc Japan Soc Mech Eng 36:1405–1412
Timoshenko SP (1937) Vibration problems in engineering. 2nd Edition New York D Van Nostrand Company Inc P331
Tuzi Z. Nisida M (1935) Photo-Elastic Study of Stress due to Impact. Scientific papers of the Institution of Physical and Chemical Research. Japan 26:277–309
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1986 Springer-Verlag Tokyo
About this paper
Cite this paper
Hashimoto, S., Kawata, K. (1986). Analysis of Impact Bending of Cantilever with Various Depth/Span Ratios by Means of High-Speed Photoelasticity. In: Nisida, M., Kawata, K. (eds) Photoelasticity. Springer, Tokyo. https://doi.org/10.1007/978-4-431-68039-0_11
Download citation
DOI: https://doi.org/10.1007/978-4-431-68039-0_11
Publisher Name: Springer, Tokyo
Print ISBN: 978-4-431-68041-3
Online ISBN: 978-4-431-68039-0
eBook Packages: Springer Book Archive