S. Adhikari. Damping Models for Structural Vibration. PhD thesis, Cambridge University Engineering Department, Cambridge, UK, September 2000. | |
S. Adhikari. Classical normal modes in non-viscously damped linear systems. AIAA Journal, 39(5):978-980, May 2001. CrossRef | |
S. Adhikari. Dynamics of non-viscously damped linear systems. ASCE Journal of Engineering Mechanics, 128(3):328-339, March 2002. CrossRef | |
S. Adhikari. Optimal complex modes and an index of damping non-proportionality. Mechanical System and Signal Processing, 18(1):1-27, January 2004. CrossRef | |
S. Adhikari. Qualitative dynamic characteristics of a non-viscously damped oscillator. Proceedings of the Royal Society of London, Series-A, 461(2059):2269-2288, July 2005. CrossRef | |
S. Adhikari. Dynamic response characteristics of a non-viscously damped oscillator. Transactions of ASME, Journal of Applied Mechanics, 75(1):011003:1-12, January 2008. | |
S. Adhikari and N. Wagner. Analysis of asymmetric non-viscously damped linear dynamic systems. Transactions of ASME, Journal of Applied Mechanics, 70(6):885-893, December 2003. CrossRef | |
S. Adhikari and N. Wagner. Direct time-domain approach for exponentially damped systems. Computer and Structures, 82(29-30):2453-2461, November 2004. | |
R. L. Bagley and P. J. Torvik. Fractional calculus-a different approach to the analysis of viscoelastically damped structures. AIAA Journal, 21(5):741-748, May 1983. CrossRef | |
M. A. Biot. Linear thermodynamics and the mechanics of solids. In Proceedings of the Third U. S. National Congress on Applied Mechanics, pages 1-18, New York, 1958. ASME. | |
R. E. D. Bishop and W. G. Price. An investigation into the linear theory of ship response to waves. Journal of Sound and Vibration, 62(3):353-363, 1979. CrossRef | |
D. F. Golla and P. C. Hughes. Dynamics of viscoelastic structures - a time domain finite element formulation. Transactions of ASME, Journal of Applied Mechanics, 52:897-906, December 1985. CrossRef | |
G. A. Lesieutre and E. Bianchini. Time-domain modeling of linear viscoelasticy using anelastic displacement fields. Transactions of ASME, Journal of Vibration and Acoustics, 117(4):425-430, October 1995. | |
G. A. Lesieutre and D. L. Mingori. Finite element modeling of frequency-dependent material properties using augmented thermodynamic fields. AIAA Journal of Guidance, Control and Dynamics, 13:1040-1050, 1990. CrossRef | |
D. J. McTavish and P. C. Hughes. Modeling of linear viscoelastic space structures. Transactions of ASME, Journal of Vibration and Acoustics, 115:103-110, January 1993. CrossRef | |
L. Meirovitch. Analytical Methods in Vibrations. Macmillan Publishing Co., Inc., New York, 1967. | |
A. Muravyov. Forced vibration responses of a viscoelastic structure. Journal of Sound and Vibration, 218(5):892-907, December 1998. CrossRef | |
A. Muravyov and Stanley G. Hutton. Closed-form solutions and the eigenvalue problem for vibration of discrete viscoelastic systems. Transactions of ASME, Journal of Applied Mechanics, 64:684-691, September 1997. CrossRef | |
N. Wagner and S. Adhikari. Symmetric state-space formulation for a class of non-viscously damped systems. AIAA Journal, 41(5):951-956, 2003. CrossRef | |
J. Woodhouse. Linear damping models for structural vibration. Journal of Sound and Vibration, 215(3):547-569, 1998. CrossRef | |
J. Zhang and G. T. Zheng. The biot model and its application in viscoelastic composite structures. Journal of Vibration and Acoustics, 129:533-540, 2007. CrossRef |
A General Derivation of Dynamic Response of Viscoelastic Structures
Sondipon AdhikariRelated information
1 School of Engineering, Swansea University, Singleton Park, Swansea SA2 8PP, UK
, Blanca PascualRelated information1 School of Engineering, Swansea University, Singleton Park, Swansea SA2 8PP, UK