Abstract
Numerical procedures for analyzing transient responses of composite structures with time and temperature dependent linear viscoelastic damping have been developed in the time domain using variational principles and the Newmark average acceleration method. Recursion formulas also have been obtained in order to reduce computer storage and only the previous time solution is required to compute the next time solution. Verification studies were conducted to evaluate the accuracy and convergence of the present numerical algorithm and they show that the numerical solutions agree well with the analytical ones. As examples, the dynamic transient responses of long cantileveredT300/934 composite Euler beams subjected to unit step and impulse loads were calculated using the presently developed procedure.
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
Mantena, R.M., Gibson, R.F. and Place, T.A., Damping Capacity Measurements of Degradation in Advanced Materilas, SAMPE Quarterly, Vol. 17, No. 3, pp. 20–31, April 1986.
Crossman, F.W. and Mauri, R.E. and Warren, W. J., Moisture Altered Viscoelastic Response of Graphite/Epoxy Composite, Advanced Composite Materials-Environmental Effects, ASTM STP 658, J.R. Vinson, Ed., American Society for Testing and Materials, pp. 205–220, 1978.
Johnson, C.D. and Kienholz, D.A., Finite Element Prediction of Damping in Structures with Constrained Viscoelastically Damped Structures, AIAA Journal, Vol. 20, No. 9, pp. 1284–1290, September 1982.
Bagley, R.L. and Torvik, P.J., Fractional Calculus-A different Approach to the Finite Element Analysis of Viscoelastically Damped Structures, AIAA Journal, Vol. 21, No. 5, pp. 741–748, May 1983.
Golla, D.F. and Hughes, P.C., Dynamics of Viscoelastic Structures-A Time Domain, Finite Element Formulation, Journal of Applied Mechanics, Vol. 52, pp. 897–906, December 1985.
Zabaras, N. and Pervez, T., Viscous Damping Approximation of Laminated Anisotropic Composite Plates Using the Finite Element Method, Computer Methods in Applied Mechanics and Engineering, No. 81 pp. 291–316, 1990.
Hilton, Harry H. and Yi, S., Finite Element Formulation for Thermo Viscoelastic Analysis of Composite Structures Subjected to Mechanical and Hygrothermal Loading, Proceeding of First NCSA Conf. on Finite Element Applications in Computational Mechanics, University of Illinois at Urbana-Champaign, May 14–15, 1990.
Hilton, Harry H. and Yi, S., Bending and Stretching Finite Element Analysis of Anisotropic Viscoelastic Composite Plates, Proceedings of Third Air Force/NASA Symposium on Recent Advances in Multidisciplinary Analysis and Optimization, San Francisco CA, pp. 488–494, Sept. 24–26, 1990.
Newmark, Nathan M., A Method of Computation for Structural Dynamics, Proceedings of the American Society of Civil Engineers, pp. 67–94, July 1959.
Hilton, Harry H., Viscoelastic Analysis, Engineering Design for Plastics, Reinhold Pub. Corp., New York, pp. 199–276, 1964.
Gurtin, M.E., Variational Principles in the Linear Theory of Viscoelasticity, Archive Rat. Mech. and Analysis, Vol. 13, pp. 179–185, 1963.
Schapery, R.A., On the Time Dependence of Viscoelastic Variational Solutions, Quart. Appl. Math., Vol. 22, pp. 207–215, 1964.
Zak, A.R., Structural Analysis of Realistic Solid Propellant Materials, Journal of Space Craft and Rockets, Vol. 5, pp. 270–275, 1967.
Taylor, R.L., Pister, K.S., and Goudreau, G.L., Thermomechanical Analysis of Viscoelastic Solids, International Journal for Numerical Methods in Engineering, Vol. 2, pp. 45–59, 1970.
Lin, K.Y. and Yi, S., Analysis of Interlaminar Stresses in Viscoelastic Composites, International Journal of Solids and Structures, Vol. 27, No. 7, pp. 929–945, 1991.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Computational Mechanics Publications
About this chapter
Cite this chapter
Hilton, H.H., Yi, S. (1991). Dynamic Finite Element Analysis of Viscoelastically Damped Composite Structures. In: Brebbia, C.A., Peters, A., Howard, D. (eds) Applications of Supercomputers in Engineering II. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3660-0_35
Download citation
DOI: https://doi.org/10.1007/978-94-011-3660-0_35
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-85166-695-9
Online ISBN: 978-94-011-3660-0
eBook Packages: Springer Book Archive