References
- Banerjee, J. R., 1989, 'Coupled Bending-Torsional Dynamic Stiffiness Matrix for Beam Elements,' International Journal for Numerical Methods in Engineering, Vol. 28, pp. 1283-1298 https://doi.org/10.1002/nme.1620280605
- Banerjee, J. R., Guo, S., Howson, W. P., 1996, 'Exact Dynamic Stiffness Matrix of a Bending-Torsion Coupled Beam Including Warping,' Computers & Structures, Vol. 59, No. 4, pp. 613-621 https://doi.org/10.1016/0045-7949(95)00307-X
- Banerjee, J.R., 1997, 'Dynamic Stiffness Formulation for Structural Elements: A General Approach,' Computers & Structures, Vol. 63, No. 1, pp. 101-103 https://doi.org/10.1016/S0045-7949(96)00326-4
- Baz, A., 1993, 'Active Constrained Layer Damping,' Proc. Damping '93, San Francisco, CA, pp. 187-209 https://doi.org/10.1016/0022-460X(89)91005-5
- Bishop, R. E. D., Cannon, S. M., Miao, S., 1989, 'On Coupled Bending and Torsional Vibration of Uniform Beams,' Journal of Sound and Vibration, Vol. 131, No. 3, pp. 457-464 https://doi.org/10.1016/0022-460X(89)91005-5
- Christensen, R. M., 1982, Theory of Viscoelasticity: an Introduction, 2nd ed., Academic Press, Inc., New York
- Crawley, E. F. and de Luis, J., 1987, 'Use of Piezoelectric Actuators as Elements of Intelligent Structures,' AIAA Journal, Vol. 25, No. 10, pp. 1373-1385 https://doi.org/10.1016/0022-460X(87)90408-1
- Dokumaci, E., 1987, 'An Exact Solution for Coupled Bending and Torsion Vibrations of Uniform Beams Having Single Cross-Sectional Symmetry,' Journal of Sound and Vibration, Vol. 119, No. 3, pp. 443-449 https://doi.org/10.1016/0022-460X(87)90408-1
- Doyle, J. F., 1988, 'A Spectrally Formulated Finite Element for Longitudinal Wave Propagation,' International Journal of Analytical and Experimental Modal Analysis, Vol. 3, pp. 1-5
- Doyle, J. F., 1997, Wave Propagation in Structures, 2nd Ed., Springer-Verlag, New York
- Lee, U., 1998, 'Equivalent Continuum Representation of Lattice Beams: Spectral Element Approach,' Engineering Structures, Vol. 20, No. 7, pp. 587-592 https://doi.org/10.1016/S0141-0296(97)00063-1
- Lee, U., 2000, 'Spectral Element Methods in Structural Dynamics,' The Shock and Vibration Digest (in press)
- Lee, U. and Kim, J., 2000a, 'Determination of Non-Ideal Structural Boundary Conditions: a Spectral Element Approach,' AIAA Journal, Vol. 38, No. 2, pp. 309-316 https://doi.org/10.1016/S0020-7683(99)00154-7
- Lee, U. and Kim, J., 2000b, 'Dynamics of Elastic-Piezoelectric Two Layer Beams Using Spectral Element Method,' International Journal of Solids and Structures, Vol. 37, pp. 4403-4417 https://doi.org/10.1016/S0020-7683(99)00154-7
- Lee, U. and Kim, J., 1999, 'Spectral Element Modeling for the Beams Treated with Active Constraining Layer Damping,' Proc. AIAA/ASME/AHS Adaptive Structures Forum. St. Louis, MO, AIAA-99-1541 (also in International Journal of Solids and Structures, in press)
- Lee, U. and Lee, J., 1999, 'Spectral-Element Method for Levy-Type Plates Subject to Dynamic Loads,' Journal of Engineering Mechanics, Vol. 125, No. 2, pp. 243-247 https://doi.org/10.1061/(ASCE)0733-9399(1999)125:2(243)
- Lesieutre, G. A. and Lee, U., 1996. 'A Finite Element for Beams Having Segmented Active Constrained Layers with Frequency-Dependent Viscoelastics,' Smart Structures and Materials, Vol. 5, pp. 615-627 https://doi.org/10.1088/0964-1726/5/5/010
- Liao, W. H., 1997, 'Active-Passive Hybrid Structural Control: An Enhanced Active Constrained Layer Damping Treatment with Edge Elements,' Ph. D. Thesis, The Pennsylvania State University, PA
- McTavish, D. J. and Hughes, P. C., 1993, 'Modeling of Linear Viscoelastic Space Structures,' Journal of Vibration and Acoustics, Vol. 115, pp. 103-110
- Robbins, D. H. and Reddy, J. N., 1991, 'Analysis of Piezoelectrically Actuated Beams Using a Layer-Wise Displacement Theory,' Computers & Structures, 1991, Vol. No. 2, pp. 265-279 https://doi.org/10.1016/0045-7949(91)90430-T
- Wolfam, S., 1996, The Mathematica Book, 3rd ed., Wolfram Media/Cambridge University Press