490
12 Finite Element Method in Vibration Analysis
7. Dong Li and Haym Benaroya, Dynamics of Periodic and Near-periodic Structures, Applied
Mechanics Review, V. 45, No. 11, Nov. 1992, pp. 447–459.
8. L. Brillouin, Wave Propagation in Periodic Structures, First Edition, Dover Publications Inc.,
New York, 1946.
9. L. Cremer and H.O. Leilich, Zür Theorie der Biegekettenleiter, Archiv der Electrichen
bertiagung, V.7, 1953, pp. 263.
10. D.J. Mead, Free wave propagation in periodically supported infinite beams, Journal of Sound
and Vibration, V. 11, 1970, pp. 181–197.11 D.J. Mead, Vibration response and wave propagation
in periodic structures, Transactions of American Society of Mechanical Engineers, Journal of
Engineering Industry, V. 93, 1971, pp. 783–792.
11. D.J. Mead, A general theory of harmonic wave propagation in periodic structures with multiple
coupling, Journal of Sound and Vibration, V. 17, 1973, pp. 235–260.
12. D.J. Mead, Wave propagation and natural modes in periodic system, I: Mono-coupled system.
Journal of Sound and Vibration, V. 40, 1975, pp. 1–18.
13. D.J. Mead, Wave propagation and natural modes in periodic system. I: Multi-coupled systems,
with and without damping, Journal of Sound and Vibration, V.40, 1975, pp. 19.
14. D.J. Mead and S. Parthan, Free wave propagation in two-dimensional periodic plates, Journal
of Sound and Vibration, V.64, No. 3, 1979, pp. 325-348.
15. G. Sengupta, Natural flexural waves and the normal modes of periodically supported beams
and plates, Journal of Sound and Vibration, V. 13, 1970, pp. 89–101.
16. R.M. Orris and M. Petyt, A finite element study of harmonic and propagation in periodic
structures, Journal and Sound and Vibration, V. 33, No. 2, 1974.
17. S. Mukherjee and S. Parthan, Normal modes and acoustic response of finite one and twodimensional multibay periodic panels, Journal of Sound and Vibration, V. 197, No. 5, 1996,
pp. 527–545.
18. R.G. White and J.G. Walker (Editors). Noise and Vibration, Ellis Harwood Limited Publishers,
U.K., 1982.
19. R.E.D. Bishop and D.C. Johnson, The Mechanics of Vibration, Cambridge University Press,
1966.
20. G.L. Rogers, Dynamics of Framed Structures, John Wiley, 1959.
21. J.H. Wilkinson, The Algebraic Eigenvalue Problem, The Clarendon Press, Oxford, U.K., 1965.
22. D.A. Wells, Theory and Problems of Lagrangian Dynamics, Schaum Outline Series, McGraw
Hill, New York, 1967.
12 Finite Element Method in Vibration Analysis
7. Dong Li and Haym Benaroya, Dynamics of Periodic and Near-periodic Structures, Applied
Mechanics Review, V. 45, No. 11, Nov. 1992, pp. 447–459.
8. L. Brillouin, Wave Propagation in Periodic Structures, First Edition, Dover Publications Inc.,
New York, 1946.
9. L. Cremer and H.O. Leilich, Zür Theorie der Biegekettenleiter, Archiv der Electrichen
bertiagung, V.7, 1953, pp. 263.
10. D.J. Mead, Free wave propagation in periodically supported infinite beams, Journal of Sound
and Vibration, V. 11, 1970, pp. 181–197.11 D.J. Mead, Vibration response and wave propagation
in periodic structures, Transactions of American Society of Mechanical Engineers, Journal of
Engineering Industry, V. 93, 1971, pp. 783–792.
11. D.J. Mead, A general theory of harmonic wave propagation in periodic structures with multiple
coupling, Journal of Sound and Vibration, V. 17, 1973, pp. 235–260.
12. D.J. Mead, Wave propagation and natural modes in periodic system, I: Mono-coupled system.
Journal of Sound and Vibration, V. 40, 1975, pp. 1–18.
13. D.J. Mead, Wave propagation and natural modes in periodic system. I: Multi-coupled systems,
with and without damping, Journal of Sound and Vibration, V.40, 1975, pp. 19.
14. D.J. Mead and S. Parthan, Free wave propagation in two-dimensional periodic plates, Journal
of Sound and Vibration, V.64, No. 3, 1979, pp. 325-348.
15. G. Sengupta, Natural flexural waves and the normal modes of periodically supported beams
and plates, Journal of Sound and Vibration, V. 13, 1970, pp. 89–101.
16. R.M. Orris and M. Petyt, A finite element study of harmonic and propagation in periodic
structures, Journal and Sound and Vibration, V. 33, No. 2, 1974.
17. S. Mukherjee and S. Parthan, Normal modes and acoustic response of finite one and twodimensional multibay periodic panels, Journal of Sound and Vibration, V. 197, No. 5, 1996,
pp. 527–545.
18. R.G. White and J.G. Walker (Editors). Noise and Vibration, Ellis Harwood Limited Publishers,
U.K., 1982.
19. R.E.D. Bishop and D.C. Johnson, The Mechanics of Vibration, Cambridge University Press,
1966.
20. G.L. Rogers, Dynamics of Framed Structures, John Wiley, 1959.
21. J.H. Wilkinson, The Algebraic Eigenvalue Problem, The Clarendon Press, Oxford, U.K., 1965.
22. D.A. Wells, Theory and Problems of Lagrangian Dynamics, Schaum Outline Series, McGraw
Hill, New York, 1967.