References
Abramovich H (1992) Natural frequencies of Timoshenko beams under compressive axial loads.
J Sound Vib 157(1):183–189
Abusoua A, Daqaq MF (2017) On using a strong high-frequency excitation for parametric
identification of nonlinear systems. ASME Journal of Vibration and Acoustics 139:051012
(1–7)
Abusoua A, Daqaq MF (2018) Changing the nonlinear resonant response of an asymmetric
mono-stable oscillator by injecting a hard high-frequency harmonic excitation. J Sound Vib
436:262–272
Acheson DJ (1993) A pendulum theorem. Proc Roy Soc Lond A 443:239–245
Acheson DJ (1995) Multiple-nodding oscillations of a driven inverted pendulum. Proc Roy Soc
Lond A 448:89–95
Acheson D (1997) From calculus to chaos: an introduction to dynamics. Oxford University Press,
Oxford
Acheson D, Mullin T (1993) Upside-down pendulums. Nature 366:215–216
Acheson D, Mullin T (1998) Ropy magic. New Sci 157(2122):32–35
Adhikari S (2013) Structural dynamic analysis with generalized damping models: analysis. Wiley
Adhikari S (2014) Structural dynamic analysis with generalized damping models: identification.
Wiley
Amabili M (2008) Nonlinear vibrations and stability of shells and plates. Cambridge University
Press, Cambridge
Amabili M (2018) Nonlinear damping in large-amplitude vibrations: modelling and experiments.
Nonlinear Dyn 93:5–18
Andersen SB, Thomsen JJ (2002) Post-critical behavior of Beck’s column with a tip mass. Int J
Non-linear Mech 37(1):135–151
Anderson TJ, Nayfeh AH, Balachandran B (1996) Experimental verification of the importance of
the nonlinear curvature in the response of a cantilever beam. ASME J Vib Acoust 118(1):1–27
Anderson GL, Tadjbakhsh IG (1989) Stabilization of Ziegler’s pendulum by means of the method
of vibrational control. J Math Anal Appl 143:198–223
Antman SS (1995) Nonlinear problems of elasticity. Appl Math Sci 107 (Springer, New York)
Apffel B, Novkoski F, Eddi A, Fort E (2020) Floating under a levitating liquid. Nature 585
(7823):48–52
Arczewski K, Pietrucha J, Leech CM (1993) Mathematical modeling of complex mechanical
systems, vol 1. Discrete models. Ellis Horwood, New York
© The Editor(s) (if applicable) and The Author(s), under exclusive license to
Springer Nature Switzerland AG 2021
J. J. Thomsen Vibrations and Stability,
https://doi.org/10.1007/978-3-030-68045-9
499
Abramovich H (1992) Natural frequencies of Timoshenko beams under compressive axial loads.
J Sound Vib 157(1):183–189
Abusoua A, Daqaq MF (2017) On using a strong high-frequency excitation for parametric
identification of nonlinear systems. ASME Journal of Vibration and Acoustics 139:051012
(1–7)
Abusoua A, Daqaq MF (2018) Changing the nonlinear resonant response of an asymmetric
mono-stable oscillator by injecting a hard high-frequency harmonic excitation. J Sound Vib
436:262–272
Acheson DJ (1993) A pendulum theorem. Proc Roy Soc Lond A 443:239–245
Acheson DJ (1995) Multiple-nodding oscillations of a driven inverted pendulum. Proc Roy Soc
Lond A 448:89–95
Acheson D (1997) From calculus to chaos: an introduction to dynamics. Oxford University Press,
Oxford
Acheson D, Mullin T (1993) Upside-down pendulums. Nature 366:215–216
Acheson D, Mullin T (1998) Ropy magic. New Sci 157(2122):32–35
Adhikari S (2013) Structural dynamic analysis with generalized damping models: analysis. Wiley
Adhikari S (2014) Structural dynamic analysis with generalized damping models: identification.
Wiley
Amabili M (2008) Nonlinear vibrations and stability of shells and plates. Cambridge University
Press, Cambridge
Amabili M (2018) Nonlinear damping in large-amplitude vibrations: modelling and experiments.
Nonlinear Dyn 93:5–18
Andersen SB, Thomsen JJ (2002) Post-critical behavior of Beck’s column with a tip mass. Int J
Non-linear Mech 37(1):135–151
Anderson TJ, Nayfeh AH, Balachandran B (1996) Experimental verification of the importance of
the nonlinear curvature in the response of a cantilever beam. ASME J Vib Acoust 118(1):1–27
Anderson GL, Tadjbakhsh IG (1989) Stabilization of Ziegler’s pendulum by means of the method
of vibrational control. J Math Anal Appl 143:198–223
Antman SS (1995) Nonlinear problems of elasticity. Appl Math Sci 107 (Springer, New York)
Apffel B, Novkoski F, Eddi A, Fort E (2020) Floating under a levitating liquid. Nature 585
(7823):48–52
Arczewski K, Pietrucha J, Leech CM (1993) Mathematical modeling of complex mechanical
systems, vol 1. Discrete models. Ellis Horwood, New York
© The Editor(s) (if applicable) and The Author(s), under exclusive license to
Springer Nature Switzerland AG 2021
J. J. Thomsen Vibrations and Stability,
https://doi.org/10.1007/978-3-030-68045-9
499