A semi-infinite, cylindrical membrane of helically oriented fiber- reinforced material is considered. The equations of motion are solved by the method of characteristics for a membrane impacting a rigid wall. Results are presented for various fiber orientations using representative material properties.
Get full access to this article
View all access options for this article.
References
1.
R.W. Leonard and B. Budiansky, "On Traveling Waves in Beams," NACA Technical Note 2874, January 1953.
2.
Harvey M. Berkowitz , "Longitudinal Impact of a Semi-Infinite Elastic Cylindrical Shell," Journal of Applied Mechanics, Vol. 30, Trans. ASME, Vol. 85, Series E, ( 1963), p. 347.
3.
R.B. Testa and H.H. Bleich, "Longitudinal Impact of the Semi-Infinite Cylindrical Visco-elastic Shell," J. Appl. Mech. 32; Trans. ASME, Vol. 87, p. 813, (1965).
4.
W.R. Spillers , "Wave Propagation in a Thin Cylindrical Shell ," Journal of Applied Mechanics, Vol. 32, Trans. ASME, Vol. 87, Series E, (1965), p. 346.
5.
P.C. Chou and R.W. Mortimer, "Solution of One-Dimensional Elastic Wave Problems by the Method of Characteristics," Journal of Applied Mechanics, Vol. 34, (1967), p. 745.
6.
J. Counts and J.G. Bennett, "Axial Wave Propagation in Membrane Shells of Revolution," International Journal for Numerical Methods in Engineering, Vol. 3 (1971), p. 181.
7.
R.C. Reuter , "Shear-Coupled Waves in a Thin, Helically Wrapped Cylindrical Shell ," Journal of Composite Materials, Vol. 3 (1969), p. 676.
8.
R.C. Reuter , "Membrane Motion of a Thin, Single Layer, Generally Orthotropic, Cylindrical Shell," Journal of Composite Materials , Vol. 4 (1970), p. 254.
9.
J.E. Ashton, J.C. Halpin and P.H. Petit, Primer on Composite Materials: AnalysisTechnomic Publishing Company (1969).
10.
S.W. Tsai and N.J. Pagano, "Invariant Properties of Composite Materials," Composite Materials Workshop, Technomic Publishing Company , (1968).
11.
P.C. Chou and R.F. Perry, "The Classification of Partial Differential Equations in Structural Dynamics," Volume of Technical Papers on Structural Dynamics, AIAA Structural Dynamics and Aeroelasticity Specialist Conference, and the ASME/AIAA Structures, Structural Dynamics and Materials Conference , New Orleans, Louisiana, April 1969 .
12.
J.J. Brickley , Jr., "Wave Propagation in a Semi-Infinite Cylindrical, Orthotropic Membrane," M. S. Thesis, Virginia Polytechnic Institute and State University, April 1972.
