Hsu L (1983a) Analysis of critical and post-critical behaviour of nonlinear dynamical systems by
the normal form method, part i: normalization formulae. J Sound Vib 89(2):169–181
Hsu L (1983b) Analysis of critical and post-critical behaviour of nonlinear dynamical systems by
the normal form method, part ii: divergence and flutter. J Sound Vib 89(2):183–194
Hunnekens BGB, Fey RHB, Shukla A, Nijmeijer H (2011) Vibrational self-alignment of a rigid
object exploiting friction. Nonlinear Dyn 65:109–129
Hunt JB (1979) Dynamic vibration absorbers. Mechanical Engineering Publications Ltd., London
Høgsberg J, Krenk S (2012) Balanced calibration of resonant shunt circuits for piezoelectric
vibration control. J Intell Mater Syst Struct 23(17):1937–1948
Ibrahim RA (1992a) Friction-induced vibration, chatter, squeal, and chaos: part I—mechanics of
friction. In: Friction-induced vibration, chatter, squeal, and chaos, ASME DE-vol 49, pp 107–
121
Ibrahim RA (1992b) Friction-induced vibration, chatter, squeal, and chaos: part II—dynamics and
modeling. In: Friction-induced vibration, Chatter, Squeal, and Chaos, ASME DE-vol 49,
pp 123–138
Inman DJ (1989) Vibration, with control, measurement and stability. Prentice-Hall, London
Inman DJ (2014) Engineering vibration, 4th international edn. Pearson International Edition,
Essex, England
Ivanov AP (1997) Dynamics of systems with mechanical collisions. International Program of
Education, Moscow (in Russian)
Jackson EA (1991) Perspectives of nonlinear dynamics, vol 1 & 2. Cambridge University Press,
Cambridge
Jang SK, Bert CW (1989) Free vibration of stepped beams: exact and numerical solutions. J Sound
Vib 130(2):342–346
Jensen JS (1996) Transport of continuous material in vibrating pipes. In Proceedings of the
EUROMECH 2nd European nonlinear oscillation conference, Prague, vol 1, 9–13 Sept 1996,
pp 211–214
Jensen JS (1997) Fluid transport due to nonlinear fluid-structure interaction. J Fluids Struct
11:327–344
Jensen JS (1998) Non-linear dynamics of the follower-loaded double pendulum with added
support-excitation. J Sound Vib 215(1):125–142
Jensen JS (1999a) Articulated pipes conveying fluid pulsating with high frequency. Nonlinear Dyn
19(2):173–193
Jensen JS (1999b) Non-trivial effects of fast harmonic excitation. Ph.D. thesis, DCAMM Report
S83, Department of Solid Mechanics, Technical University of Denmark
Jensen JS (2000a) Buckling of an elastic beam with added high-frequency excitation. Int J
Non-Linear Mech 35(2):217–227
Jensen JS (2000b) Effects of high-frequency bi-directional support-excitation of the
follower-loaded double pendulum. In: Lavendelis E, Zakrzhevsky M (eds) Klüwer series:
solid mechanics and its applications, vol 37. Klüwer, Dordrecht, pp 169–178
Jensen JS (2003) Phononic band gaps and vibrations in one- and two-dimensional mass-spring
structures. J Sound Vib 266(5):1053–1078
Jensen JS, Tcherniak DM, Thomsen JJ (2000) Stiffening effects of high-frequency excitation:
experiments for an axially loaded beam. ASME J Appl Mech 67(2):397–402
Jensen JS, Thomsen JJ, Tcherniak DM (2004) Non-trivial effects of high-frequency excitation for
pendulum type systems. In: Blekhman II (ed) Selected topics in vibrational mechanics. World
Scientific, Singapore
Jiang X, McFarland DM, Bergman LA, Vakakis AF (2003) Steady state passive nonlinear energy
pumping in coupled oscillators: theoretical and experimental results. Nonlinear Dyn 33(1):87–
102
Kaas-Petersen C (1989) PATH—user’s guide. Department of Mathematical Studies, University of
Leeds
Kalmus HP (1970) The inverted pendulum. Am J Phys 38(7):874–878
References
505
the normal form method, part i: normalization formulae. J Sound Vib 89(2):169–181
Hsu L (1983b) Analysis of critical and post-critical behaviour of nonlinear dynamical systems by
the normal form method, part ii: divergence and flutter. J Sound Vib 89(2):183–194
Hunnekens BGB, Fey RHB, Shukla A, Nijmeijer H (2011) Vibrational self-alignment of a rigid
object exploiting friction. Nonlinear Dyn 65:109–129
Hunt JB (1979) Dynamic vibration absorbers. Mechanical Engineering Publications Ltd., London
Høgsberg J, Krenk S (2012) Balanced calibration of resonant shunt circuits for piezoelectric
vibration control. J Intell Mater Syst Struct 23(17):1937–1948
Ibrahim RA (1992a) Friction-induced vibration, chatter, squeal, and chaos: part I—mechanics of
friction. In: Friction-induced vibration, chatter, squeal, and chaos, ASME DE-vol 49, pp 107–
121
Ibrahim RA (1992b) Friction-induced vibration, chatter, squeal, and chaos: part II—dynamics and
modeling. In: Friction-induced vibration, Chatter, Squeal, and Chaos, ASME DE-vol 49,
pp 123–138
Inman DJ (1989) Vibration, with control, measurement and stability. Prentice-Hall, London
Inman DJ (2014) Engineering vibration, 4th international edn. Pearson International Edition,
Essex, England
Ivanov AP (1997) Dynamics of systems with mechanical collisions. International Program of
Education, Moscow (in Russian)
Jackson EA (1991) Perspectives of nonlinear dynamics, vol 1 & 2. Cambridge University Press,
Cambridge
Jang SK, Bert CW (1989) Free vibration of stepped beams: exact and numerical solutions. J Sound
Vib 130(2):342–346
Jensen JS (1996) Transport of continuous material in vibrating pipes. In Proceedings of the
EUROMECH 2nd European nonlinear oscillation conference, Prague, vol 1, 9–13 Sept 1996,
pp 211–214
Jensen JS (1997) Fluid transport due to nonlinear fluid-structure interaction. J Fluids Struct
11:327–344
Jensen JS (1998) Non-linear dynamics of the follower-loaded double pendulum with added
support-excitation. J Sound Vib 215(1):125–142
Jensen JS (1999a) Articulated pipes conveying fluid pulsating with high frequency. Nonlinear Dyn
19(2):173–193
Jensen JS (1999b) Non-trivial effects of fast harmonic excitation. Ph.D. thesis, DCAMM Report
S83, Department of Solid Mechanics, Technical University of Denmark
Jensen JS (2000a) Buckling of an elastic beam with added high-frequency excitation. Int J
Non-Linear Mech 35(2):217–227
Jensen JS (2000b) Effects of high-frequency bi-directional support-excitation of the
follower-loaded double pendulum. In: Lavendelis E, Zakrzhevsky M (eds) Klüwer series:
solid mechanics and its applications, vol 37. Klüwer, Dordrecht, pp 169–178
Jensen JS (2003) Phononic band gaps and vibrations in one- and two-dimensional mass-spring
structures. J Sound Vib 266(5):1053–1078
Jensen JS, Tcherniak DM, Thomsen JJ (2000) Stiffening effects of high-frequency excitation:
experiments for an axially loaded beam. ASME J Appl Mech 67(2):397–402
Jensen JS, Thomsen JJ, Tcherniak DM (2004) Non-trivial effects of high-frequency excitation for
pendulum type systems. In: Blekhman II (ed) Selected topics in vibrational mechanics. World
Scientific, Singapore
Jiang X, McFarland DM, Bergman LA, Vakakis AF (2003) Steady state passive nonlinear energy
pumping in coupled oscillators: theoretical and experimental results. Nonlinear Dyn 33(1):87–
102
Kaas-Petersen C (1989) PATH—user’s guide. Department of Mathematical Studies, University of
Leeds
Kalmus HP (1970) The inverted pendulum. Am J Phys 38(7):874–878
References
505