Topology optimization of unconstrained damping treatments for plates

References

• Aklonis, J. J., W. J. MacKnight, and M. Shen. 1972. Introduction to Polymer Viscoelasticity. New York: Wiley-Interscience.
   Google Scholar
• Baz, A., and J. Ro. 1996. “Vibration Control of Plates with Active Constrained Layer Damping.” Smart Materials and Structures 5: 272–0. doi: 10.1088/0964-1726/5/3/005
   Web of Science ®Google Scholar
• Bendsøe, M. P. 1995. Optimization of Structural Topology, Shape and Material. Berlin: Springer.
   Google Scholar
• Bendsøe, M. P., and N. Kikuchi. 1988. “Generating Optimal Topologies in Structural Design Using a Homogenization Method.” Computer Methods in Applied Mechanics and Engineering 77: 197–224. doi: 10.1016/0045-7825(88)90086-2
   Web of Science ®Google Scholar
• Bendsøe, M. P., and O. Sigmund. 2003. Topology Optimization—Theory, Methods and Applications. Berlin: Springer.
   Google Scholar
• Choi, K. K., and E. J. Haug. 1981. “Repeated Eigenvalues in Mechanical Optimization Problems.” Contemporary Mathematics 4: 61–86. doi: 10.1090/conm/004/641226
   Google Scholar
• Choi, K. K., E. J. Haug, and H. L. Lam. 1982. “A Numerical Method for Distributed Parameter Structural Optimization Problems with Repeated Eigenvalues.” Journal of Structural Mechanics 10: 191–207. doi: 10.1080/03601218208907410
   Web of Science ®Google Scholar
• Choi, K. K., E. J. Haug, and H. G. Seong. 1983. “An Iterative Method for Finite Dimensional Structural Optimization Problems with Repeated Eigenvalues.” International Journal for Numerical Methods in Engineering 19: 93–112. doi: 10.1002/nme.1620190110
   Web of Science ®Google Scholar
• Christensen, R. M. 1982. Theory of Viscoelasticity. 2nd ed. New York: Academic Press.
   Google Scholar
• Crassidis, J., A. Baz, and N. Wereley. 2000. “jH∞ Control of Active Constrained Layer Damping.” Journal of Vibration and Control 6 (1): 113–136.
   Google Scholar
• DiTaranto, R. A. 1965. “Theory of Vibratory Bending for Elastic and Viscoelastic Layered Finite Length Beams.” ASME Journal of Applied Mechanics 32: 881–886. doi: 10.1115/1.3627330
   Web of Science ®Google Scholar
• DiTaranto, R. A., and W. Blasingame. 1965. “Composite Loss Factors of Selected Laminated Beams.” Journal of the Acoustical Society of America 40 (1): 187–194. doi: 10.1121/1.1910037
   Web of Science ®Google Scholar
• Ferry, J. D. 1980. Viscoelastic Properties of Polymers. 3rd ed. New York: Wiley & Sons.
   Google Scholar
• Flugge, W. 1975. Viscoelasticity. New York: Springer.
   Google Scholar
• Golla, D. F., and P. C. Hughes. 1985. “Dynamics of Viscoelastic Structures—A Time-domain, Finite Element Formulation.” Journal of Applied Mechanics 52 (4): 897–906. doi: 10.1115/1.3169166
   Web of Science ®Google Scholar
• Kerwin, E. M. 1959. “Damping of Flexural Waves by a Constrained Viscoelastic Layer.” Journal of the Acoustical Society of America 32 (7): 952–962. doi: 10.1121/1.1907821
   Web of Science ®Google Scholar
• Kosaka, I., and C. Swan. 1999. “A Symmetry Reduction Method for Continuum Structural Topology Optimization.” Computers and Structures 70: 47–61. doi: 10.1016/S0045-7949(98)00158-8
   Web of Science ®Google Scholar
• Kung, S. W., and R. Singh. 1998. “Vibration Analysis of Beams with Multiple Constrained Layer Damping Patches.” Journal of Sound and Vibration 212 (5): 781–805. doi: 10.1006/jsvi.1997.1409
   Web of Science ®Google Scholar
• Lall, A. K., N. T. Asnani, and B. C. Nakra. 1988a. “Damping Analysis of Partially Covered Sandwich Beams.” Journal of Sound and Vibration 123 (2): 247–259. doi: 10.1016/S0022-460X(88)80109-3
   Web of Science ®Google Scholar
• Lall, A. K., N. T. Asnani, and B. C. Nakra. 1988b. “Vibration and Damping Analysis of Rectangular Plate with Partially Covered Constrained Viscoelastic Layer.” ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design 109: 241–247.
   Web of Science ®Google Scholar
• McTavish, D. J., and P. C. Hughes. 1993. “Modeling of Linear Viscoelastic Space Structures.” Journal of Vibration and Acoustics 115 (1): 103–110. doi: 10.1115/1.2930302
   Web of Science ®Google Scholar
• Mead, D. J., and S. Markus. 1969. “The Forced Vibration of a Three-layered Damped Sandwich Beam with Arbitrary Boundary Conditions.” Journal of Sound and Vibration 10 (2): 163–175. doi: 10.1016/0022-460X(69)90193-X
   Web of Science ®Google Scholar
• Plunkett, R., and C. T. Lee. 1970. “Length Optimization of Constrained Viscoelastic Layer Damping.” Journal of the Acoustical Society of America 48 (1), Part 2: 150–161. doi: 10.1121/1.1912112
   Web of Science ®Google Scholar
• Ray, M. C., J. Oh, and A. Baz. 2001. “Active Constrained Layer Damping of Thin Cylindrical Shells.” Journal of Sound and Vibration 240: 921–935. doi: 10.1006/jsvi.2000.3287
   Web of Science ®Google Scholar
• Roylance, D. 2001. Engineering Viscoelasticity. Cambridge, MA: Department of Materials Science and Engineering, Massachusetts Institute of Technology.
   Google Scholar
• Svanberg, K. 1987. “The Method of Moving Asymptotes: A New Method for Structural Optimization.” International Journal for Numerical Method in Engineering 24: 359–373. doi: 10.1002/nme.1620240207
   Web of Science ®Google Scholar
• Zheng, L., R. Xie, and A. El-Sabbagh. 2011. “Topology Optimization of Constrained Layer Damping on Plates Using Method of Moving Asymptote (MMA) Approach.” Shock and Vibration 18: 221–244.
   Web of Science ®Google Scholar