Tcherniak DM (2000) Using fast vibration to change the nonlinear properties of mechanical
systems. In: Lavendelis E, Zakrzhevsky M (eds) Klüwer series: solid Mechanics and its
Applications, vol 37. Klüwer, Dordrecht, pp 227–236
Temple G, Bickley WG (1933) Rayleigh’s principle and its applications to engineering. Oxford
University Press, London
Thomas O, Mathieu F, Mansfield W, Huang C, Trolier-McKinstry S, Nicu L (2013) Efficient
parametric amplification in micro-resonators with integrated piezoelectric actuation and
sensing capabilities. Appl Phys Lett 102(16):163504(1–5)
Thompson JMT, Bishop SR (eds) (1994) Nonlinearity and chaos in engineering dynamics. Wiley,
Chichester
Thompson JMT, Stewart HB (1986) Nonlinear dynamics and chaos; Geometrical methods for
engineers and scientists. Wiley, Chichester
Thomsen JJ (1992) Chaotic vibrations of non-shallow arches. J Sound Vib 153(2):239–258
Thomsen JJ (1995) Chaotic dynamics of the partially follower-loaded elastic double pendulum.
J Sound Vib 188(3):385–405
Thomsen JJ (1996a) Vibration suppression by using self-arranging mass: effects of adding
restoring force. J Sound Vib 197(4):403–425
Thomsen JJ (1996b) Vibration induced sliding of mass: non-trivial effects of rotatory inertia. In:
Proceedings of the EUROMECH 2nd European nonlinear oscillation conference, vol 1,
Prague, September 9–13, 1996, pp 455–458
Thomsen JJ (1999) Using fast vibrations to quench friction-induced oscillations. J Sound Vib 228
(5):1079–1102
Thomsen JJ (2000) Vibration-induced displacement using high-frequency resonators and friction
layers. In: Lavendelis E, Zakrzhevsky M (eds) Klüwer series: solid Mechanics and its
Applications, vol 37. Klüwer, Dordrecht, pp 237–246
Thomsen JJ (2002) Some general effects of strong high-frequency excitation: stiffening, biasing,
and smoothening. J Sound Vib 253(4):807–831
Thomsen JJ (2003a) Dynamic effects of nonlinearity and fast vibrations: stiffening, biasing,
smoothening, chaos. Doctoral dissertation, Technical University of Denmark
Thomsen JJ (2003b) Theories and experiments on the stiffening effect of high-frequency excitation
for continuous elastic systems. J Sound Vib 260(1):117–139
Thomsen JJ (2005) Slow high-frequency effects in mechanics: problems, solutions, potentials. Int J
Bifurcat Chaos 15:2799–2818
Thomsen JJ (2008a) Effective properties of mechanical systems under high-frequency excitation at
multiple frequencies. J Sound Vib 311:1249–1270
Thomsen JJ (2008b) Using strong nonlinearity and high-frequency vibrations to control effective
mechanical stiffness. In: Andrievsky BR, Fradkov AL (eds) Proceedings of the sixth
EUROMECH nonlinear dynamics conference (ENOC 2008), June 30–July 4, 2008, St.
Petersburg, Russia, 9 pp
Thomsen JJ, Blekhman II (2007) Using nonlinearity and spatiotemporal property modulation to
control effective structural properties: dynamic rods. In: M. Papadrakakis et al.
(eds) Proceedings of COMPDYN2007 (ECCOMAS thematic conference on computational
methods in structural dynamics and earthquake engineering), 13–16 June 2007, National
Technical University of Athens, Greece, 12 pp
Thomsen JJ, Fidlin A (2003) Analytical approximations for stick-slip vibration amplitudes. Int J
Non-Linear Mech 38(3):389–403
Thomsen JJ, Fidlin A (2008) Near-elastic vibro-impact analysis by discontinuous transformations
and averaging. J Sound Vib 311(1–2):386–407
Thomsen JJ, Dahl J (2010) Analytical predictions for vibration phase shifts along fluid-conveying
pipes due to Coriolis forces and imperfections. J Sound Vib 329(15):3065–3081
Thomsen JJ, Fuglede N (2020) Perturbation-based prediction of vibration phase shift along
fluid-conveying pipes due to Coriolis forces, nonuniformity, and nonlinearity. Nonlinear Dyn
99(1):173–199
References
513
systems. In: Lavendelis E, Zakrzhevsky M (eds) Klüwer series: solid Mechanics and its
Applications, vol 37. Klüwer, Dordrecht, pp 227–236
Temple G, Bickley WG (1933) Rayleigh’s principle and its applications to engineering. Oxford
University Press, London
Thomas O, Mathieu F, Mansfield W, Huang C, Trolier-McKinstry S, Nicu L (2013) Efficient
parametric amplification in micro-resonators with integrated piezoelectric actuation and
sensing capabilities. Appl Phys Lett 102(16):163504(1–5)
Thompson JMT, Bishop SR (eds) (1994) Nonlinearity and chaos in engineering dynamics. Wiley,
Chichester
Thompson JMT, Stewart HB (1986) Nonlinear dynamics and chaos; Geometrical methods for
engineers and scientists. Wiley, Chichester
Thomsen JJ (1992) Chaotic vibrations of non-shallow arches. J Sound Vib 153(2):239–258
Thomsen JJ (1995) Chaotic dynamics of the partially follower-loaded elastic double pendulum.
J Sound Vib 188(3):385–405
Thomsen JJ (1996a) Vibration suppression by using self-arranging mass: effects of adding
restoring force. J Sound Vib 197(4):403–425
Thomsen JJ (1996b) Vibration induced sliding of mass: non-trivial effects of rotatory inertia. In:
Proceedings of the EUROMECH 2nd European nonlinear oscillation conference, vol 1,
Prague, September 9–13, 1996, pp 455–458
Thomsen JJ (1999) Using fast vibrations to quench friction-induced oscillations. J Sound Vib 228
(5):1079–1102
Thomsen JJ (2000) Vibration-induced displacement using high-frequency resonators and friction
layers. In: Lavendelis E, Zakrzhevsky M (eds) Klüwer series: solid Mechanics and its
Applications, vol 37. Klüwer, Dordrecht, pp 237–246
Thomsen JJ (2002) Some general effects of strong high-frequency excitation: stiffening, biasing,
and smoothening. J Sound Vib 253(4):807–831
Thomsen JJ (2003a) Dynamic effects of nonlinearity and fast vibrations: stiffening, biasing,
smoothening, chaos. Doctoral dissertation, Technical University of Denmark
Thomsen JJ (2003b) Theories and experiments on the stiffening effect of high-frequency excitation
for continuous elastic systems. J Sound Vib 260(1):117–139
Thomsen JJ (2005) Slow high-frequency effects in mechanics: problems, solutions, potentials. Int J
Bifurcat Chaos 15:2799–2818
Thomsen JJ (2008a) Effective properties of mechanical systems under high-frequency excitation at
multiple frequencies. J Sound Vib 311:1249–1270
Thomsen JJ (2008b) Using strong nonlinearity and high-frequency vibrations to control effective
mechanical stiffness. In: Andrievsky BR, Fradkov AL (eds) Proceedings of the sixth
EUROMECH nonlinear dynamics conference (ENOC 2008), June 30–July 4, 2008, St.
Petersburg, Russia, 9 pp
Thomsen JJ, Blekhman II (2007) Using nonlinearity and spatiotemporal property modulation to
control effective structural properties: dynamic rods. In: M. Papadrakakis et al.
(eds) Proceedings of COMPDYN2007 (ECCOMAS thematic conference on computational
methods in structural dynamics and earthquake engineering), 13–16 June 2007, National
Technical University of Athens, Greece, 12 pp
Thomsen JJ, Fidlin A (2003) Analytical approximations for stick-slip vibration amplitudes. Int J
Non-Linear Mech 38(3):389–403
Thomsen JJ, Fidlin A (2008) Near-elastic vibro-impact analysis by discontinuous transformations
and averaging. J Sound Vib 311(1–2):386–407
Thomsen JJ, Dahl J (2010) Analytical predictions for vibration phase shifts along fluid-conveying
pipes due to Coriolis forces and imperfections. J Sound Vib 329(15):3065–3081
Thomsen JJ, Fuglede N (2020) Perturbation-based prediction of vibration phase shift along
fluid-conveying pipes due to Coriolis forces, nonuniformity, and nonlinearity. Nonlinear Dyn
99(1):173–199
References
513