References
- E. M. Kerwin, "Damping of Flexural Waves by a Constrined Viscoelastic Layer," Journal of Acoustical Society of America 31(7), 952-962, 1959 https://doi.org/10.1121/1.1907821
- R. A. DiTaranto, "Theory of Vibratory Bending for Elastic and Viscoelastic Layered Finite Length Beams," Journal of Applied Mechanics 87, 881-887, 1965
- D. J. Mead and S. Markus, "The Forced Vibration of a Three-Layer Damped Sandwich Beam with Arbitrary Boundary Conditions," Journal of Sound and Vibration 10(2), 163-175, 1969 https://doi.org/10.1016/0022-460X(69)90193-X
- M. J. Yan and E. H. Dowell, "Governing Equations for Vibrating Constrained -Layer Damping Sandwich Plates and Beams," Journal of Applied Mechanics 39, 1041-1046, 1972 https://doi.org/10.1115/1.3422825
- Y. P. Lu and B. E. Douglas, "On the Forced Vibrations of Three-Layer Damped Sandwich Beams," Journal of Sound and Vibration 32(4), 513-516, 1974 https://doi.org/10.1016/S0022-460X(74)80145-8
- Y. V. K. S. Rao and B. C. Nakara, "Vibrations of Un-symmetrical Sandwich Beams and Plates with Viscoelastic Cores," Journal of Sound and Vibration 34(3), 309-326, 1974 https://doi.org/10.1016/S0022-460X(74)80315-9
- J. M. Bai and C. T. Sun, "A Refined Theory of Flexural Vibration for Viscoelastic Damped Sandwich Beams," Pro-ceedings of Damping, pp.1-16, San Francisco, CA, 1993
- S. A. Nayfeh and A. H. Slocum, "Flexural Vibration of a Viscoelastic Sandwich Beam in its Plane of Lamination," Proceedings of DETC, DETC/VIB-4071, Sacramento, California, 1997
- J. F. Doyle, Wave Propagation in Structures : An FFT Based Spectral Analysis Methodology (Springer-Verlag, New York, 1989)
- G. Gopalakrishnan, M. Martin and J. F. Doyle, "A matrix methodology for spectral analysis of wave propagation in multiple connected Timoshenkobeams," Journal of Sound and Vibration 158(4), 11-24, 1992 https://doi.org/10.1016/0022-460X(92)90660-P
- S. Gopalakrishnan and J. F. Doyle, "Wave Propagation in Connected Wave Guides of Varying Cross-Section," Journal of Sound and Vibration 175(3), 347-363, 1994 https://doi.org/10.1006/jsvi.1994.1333|
- J. R. Banerjee and F. W. Williams, "Exact Bernoulli-Euler Dynamic Stiffness Matrix for a Range of Tappered Beams," International Journal for Numerical Methods in Engineering 21, 2289-2302, 1985 https://doi.org/10.1002/nme.1620211212
- J. R. Banerjee and F. W. Williams, "Coupled Bending-Torsional Dynamic Stiffness Matrix for Timoshenko Beam Element," Computers and Structures 42(3), 301-310, 1992 https://doi.org/10.1016/0045-7949(92)90026-V
- J. R. Banerjee, S. Guo and W. P. Howson, "Exact Dynamic Stiffness Matrix of a Bending-Torsional Coupled Beam Including Warping," Computers and Structures 59(4), 613-621, 1996 https://doi.org/10.1016/0045-7949(95)00307-X
- J. R. Banerjee, "Free Vibration of Axially Loaded Composite Timoshenko Beams Using the Dynamic Stiffness Matrix Method," Computers and Structures 69, 197-208, 1998 https://doi.org/10.1016/S0045-7949(98)00114-X
- A. T. T. Leung and W. E. Zhou, "Dynamic Stiffness Analysis of Laminated Composite Plates," Thin-Walled Structures 25(2), 109-133, 1996 https://doi.org/10.1016/0263-8231(95)00047-X
- G. Wang and N. M. Wereley, "Frequency Response of Beam with Passively Damping Layers and Piezo-Actuators," Pro-ceedings of SPIE conference, 44-60, San Diego, CA, 1998
- L. Meirovitch, Analytical Methods in Vibrations (Macmillan, New York, 1967)
- D. J. McTavish and P. C. Hughesm "Modeling of Linear Vis-coelastic Space Structures," Journal of Vibration and Acoustics 115, 103-110, 1993 https://doi.org/10.1115/1.2930302
- G. A. Lesietre and U. Lee, "A Finite Element for Beams Having Segment Active Constrained Layers with Frequency-Dependent Viscoelastic Materials Properties," Smart Structures and Materials 5, 615-627, 1996 https://doi.org/10.1088/0964-1726/5/5/010