×

Nonlinear damping and quasi-linear modelling. (English) Zbl 1353.70056


MSC:

70K60 General perturbation schemes for nonlinear problems in mechanics

References:

[1] Rayleigh, The theory of sound, Section 68a (1945)
[2] DOI: 10.1080/14786442608564127 · doi:10.1080/14786442608564127
[3] DOI: 10.1063/1.3670008 · Zbl 1331.34003 · doi:10.1063/1.3670008
[4] DOI: 10.1121/1.395157 · doi:10.1121/1.395157
[5] Duifhuis, Cochlear mechanics: introduction to a time domain analysis of the nonlinear cochlea (2012) · doi:10.1007/978-1-4419-6117-4
[6] Wright, Introduction to aircraft aeroelasticity and loads (2008)
[7] Fearnow, Investigation of the structural damping of a full scale airplane wing (1952)
[8] Fellowes A , Wilson T , Kemble G , Havill C , Wright J . 2011 Wing box nonlinear structural damping. In Proc. 15th Int. Forum on Aeroelasticity and Structural Dynamics (IFASD 2011), Paris, France, 26–30 June 2011. London, UK: Royal Aeronautical Society.
[9] DOI: 10.1038/nnano.2011.71 · doi:10.1038/nnano.2011.71
[10] DOI: 10.1121/1.1910576 · doi:10.1121/1.1910576
[11] DOI: 10.1016/S0021-8928(01)00047-8 · doi:10.1016/S0021-8928(01)00047-8
[12] DOI: 10.1016/0020-7462(90)90059-I · doi:10.1016/0020-7462(90)90059-I
[13] Surace, On the non-linear characteristics of automotive shock absorbers, Proc. Inst. Mech. Eng. IMechE, Part D: J. Automobile Eng. 206 pp 3– (1992) · doi:10.1243/PIME_PROC_1992_206_156_02
[14] De Boer, Mechanics of the cochlea: modelling efforts, in: The Cochlea pp 258– (1996) · doi:10.1007/978-1-4612-0757-3_5
[15] Elliott, The cochlea as a smart structure, Smart Mater. Struct. 21 pp 1– (2012) · doi:10.1088/0964-1726/21/6/064001
[16] DOI: 10.1073/pnas.74.6.2407 · doi:10.1073/pnas.74.6.2407
[17] Nayfeh, Nonlinear oscillations (1995) · doi:10.1002/9783527617586
[18] Rand RH . 2005 Lecture notes on nonlinear vibrations, version 52. See http://www.tam.cornell.edu/randdocs/ .
[19] Worden, Nonlinearity in structural dynamics, detection, identification and modelling (2000) · Zbl 0990.93508 · doi:10.1201/9781420033823
[20] DOI: 10.1016/j.ymssp.2005.04.008 · doi:10.1016/j.ymssp.2005.04.008
[21] DOI: 10.1016/j.jsv.2013.09.035 · doi:10.1016/j.jsv.2013.09.035
[22] DOI: 10.1016/j.cnsns.2012.11.031 · Zbl 1304.34071 · doi:10.1016/j.cnsns.2012.11.031
[23] DOI: 10.1121/1.1918794 · doi:10.1121/1.1918794
[24] Roberts, Random vibration and statistical linearisation (2003)
[25] DOI: 10.1016/S0020-7462(96)00134-5 · Zbl 0890.70015 · doi:10.1016/S0020-7462(96)00134-5
[26] DOI: 10.1016/j.probengmech.2007.12.025 · doi:10.1016/j.probengmech.2007.12.025
[27] DOI: 10.1016/S0022-460X(02)01183-5 · doi:10.1016/S0022-460X(02)01183-5
[28] DOI: 10.1016/S0020-7462(99)00048-7 · Zbl 1006.70023 · doi:10.1016/S0020-7462(99)00048-7
[29] Nuttall AH . 1958 Theory and application of the separable class of random processes. Technical report no. 343, Massachusetts Institute of Technology, Cambridge, MA.
[30] DOI: 10.1080/00207176508905543 · doi:10.1080/00207176508905543
[31] Billings, Theory of separable processes with applications to the identification of nonlinear systems, Proc. IEEE 125 pp 1051– (1978)
[32] Marmarelis, Nonlinear dynamic modelling of physiological systems (2004) · doi:10.1002/9780471679370
[33] Lin, Probabilistic structural dynamics, advanced theory and applications (2004)
[34] Shin, Fundamentals of signal processing for sound and vibration engineers (2008)
[35] Bendat, Random data analysis and measurement procedures (2010) · Zbl 1187.62204 · doi:10.1002/9781118032428
[36] Klippel W . 2013 Nonlinear damping in micro-speakers. In Proc. AIA-DAGA 2013 Conf. on Acoustics, Merano, Italy, 18–21 March 2013. Madrid, Spain: European Acoustics Association.
[37] Harris, Shock and vibration handbook (1976)
[38] DOI: 10.1016/j.jsv.2009.01.001 · doi:10.1016/j.jsv.2009.01.001
[39] DOI: 10.1007/s11071-011-0274-1 · doi:10.1007/s11071-011-0274-1
[40] DOI: 10.1109/JMEMS.2004.830151 · doi:10.1109/JMEMS.2004.830151
[41] DOI: 10.1109/JPROC.2008.927494 · doi:10.1109/JPROC.2008.927494
[42] DOI: 10.1177/1045389X13486707 · doi:10.1177/1045389X13486707
[43] DOI: 10.1177/1045389X11421824 · doi:10.1177/1045389X11421824
[44] DOI: 10.1016/j.jsv.2005.10.003 · doi:10.1016/j.jsv.2005.10.003
[45] Simeone L , Ghandchi Tehrani M , Elliott SJ , Hendijanizadeh M . 2014 Nonlinear damping in an energy harvesting device. In Proc. Int. Seminar on Model Analysis (ISMA2014), Leuven, Belgium, 19–21 September 2014. Leuven, Belgium: KU Leuven Department of Mechanical Engineering.
[46] DOI: 10.1121/1.407225 · doi:10.1121/1.407225
[47] DOI: 10.1016/0378-5955(90)90041-M · doi:10.1016/0378-5955(90)90041-M
[48] DOI: 10.1016/0378-5955(94)90028-0 · doi:10.1016/0378-5955(94)90028-0
[49] DOI: 10.1111/j.1469-7793.1998.277bo.x · doi:10.1111/j.1469-7793.1998.277bo.x
[50] DOI: 10.1121/1.1914449 · doi:10.1121/1.1914449
[51] DOI: 10.1121/1.388252 · doi:10.1121/1.388252
[52] DOI: 10.1121/1.410157 · doi:10.1121/1.410157
[53] DOI: 10.1121/1.417363 · doi:10.1121/1.417363
[54] de Boer, On cochlear cross-correlation functions: connecting nonlinearity and ’activity’, in: Diversity in auditory mechanisms pp 291– (1996)
[55] DOI: 10.1121/1.4894736 · doi:10.1121/1.4894736
[56] de Boer, Connecting frequency selectivity and nonlinearity for models of the cochlea, Auditory Neurosci. 3 pp 377– (1997)
[57] Chakrabarti, Hydrodynamics of offshore structures (1987)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.