Kantz H (1994) A robust method to estimate the maximal Lyapunov exponent of a time series.
Phys Lett A 185:77–87
Kapelke S, Seemann W, Hetzler H (2017) The effect of longitudinal high-frequency in-plane
vibrations on a 1-dof friction oscillator with compliant contact. Nonlinear Dyn 88(4):3003–
3015
Kapitaniak T (1993) Analytical method of controlling chaos in Duffing’s oscillator. J Sound Vib
163(1):182–187
Kapitaniak T (1996) Controlling chaos: theoretical and practical methods in non-linear dynamics.
Academic, London
Kapitza PL (1951) Dynamic stability of a pendulum with an oscillating point of suspension.
Z Eksperimental’noj i Teoreticeskoj Fiziki 21(5):588–597 (in Russian)
Kapitza PL (1965) Collected papers by P. L. Kapitza, vol 2. In: Ter Haar D (ed) Pergamon Press,
London, pp 714–726
Kerschen G (Ed.) (2014) Modal analysis of nonlinear mechanical systems. CISM International
Centre for Mechanical Sciences, vol 555. Springer, Vienna
Kerschen G, Peeters M, Golinval J-C, Vakakis AF (2009) Nonlinear normal modes, Part I: a useful
framework for the structural dynamicist. Mech Syst Signal Process 23(1):170–194
Keller HB (1986) Lectures on numerical methods in bifurcation problems. Springer, Heidelberg
Kelly SG (1993) Fundamentals of mechanical vibrations. McGraw-Hill, New York
Kelly SG (2007) Advanced vibration analysis. CRC Press Inc., Boca Raton, Florida
Khalily F, Golnaraghi MF, Heppler GR (1994) On the dynamic behaviour of a flexible beam
carrying a moving mass. Nonlinear Dyn 5:493–513
Kobayashi AS (ed) (1993) Handbook on experimental mechanics. VCH Publishers, New York
Kobrinskii AE (1969) Dynamics of mechanisms with elastic connections and impact systems. Iliffe
Books, London
Korenev BG, Reznikov LM (1993) dynamic vibration absorbers, theory and technical
applications. Wiley, Chichester
Koughan J (1996) The collapse of the Tacoma Narrows Bridge, evaluation of competing theories
of its demise, and the effects of the disaster of succeeding bridge designs. Undergraduate
Engineering Review, The University of Texas at Austin, Department of Mechanical
Engineering, http://www.me.utexas.edu/*uer/papers/paper_jk.html
Kounadis AN (1991) Chaos-like phenomena in the non-linear dynamic stability of discrete
damped or undamped systems under step loading. Int J Non-Linear Mech 26(3/4):301–311
Kovacic I (2020) Nonlinear oscillations—exact solutions and their approximations. Springer,
Berlin
Kovacic I, Brennan M (eds) (2011) The Duffing equation: nonlinear oscillators and their
behaviour. Wiley
Kozol JE, Brach RM (1991) Two-dimensional vibratory impact with chaos. J Sound Vib 148
(2):319–327
Krack M, Aboulfotoh N, Twiefel J, Wallaschek J, Bergman LA, Vakakis AF (2017) Toward
understanding the self-adaptive dynamics of a harmonically forced beam with a sliding mass.
Arch Appl Mech 87:699–720
Krenk S, Høgsberg J (2014) Tuned mass absorber on a flexible structure. J Sound Vib 333
(6):1577–1595
Krauskopf B, Osinga HM, Galán-Vioque J (2007) Numerical continuation methods for dynamical
systems—path following and boundary value problems. Springer, Dordrecht
Kremer E (2016) Slow motions in systems with fast modulated excitation. J Sound Vib 383(295–
308)
Kremer E (2018) Low-frequency dynamics of systems with modulated high-frequency stochastic
excitation. J Sound Vib 437(422–436)
Krishnan A (1998) Use of finite difference method in the study of stepped beams. Int J Mech Eng
Educ 26(1):11–24
506
References
Phys Lett A 185:77–87
Kapelke S, Seemann W, Hetzler H (2017) The effect of longitudinal high-frequency in-plane
vibrations on a 1-dof friction oscillator with compliant contact. Nonlinear Dyn 88(4):3003–
3015
Kapitaniak T (1993) Analytical method of controlling chaos in Duffing’s oscillator. J Sound Vib
163(1):182–187
Kapitaniak T (1996) Controlling chaos: theoretical and practical methods in non-linear dynamics.
Academic, London
Kapitza PL (1951) Dynamic stability of a pendulum with an oscillating point of suspension.
Z Eksperimental’noj i Teoreticeskoj Fiziki 21(5):588–597 (in Russian)
Kapitza PL (1965) Collected papers by P. L. Kapitza, vol 2. In: Ter Haar D (ed) Pergamon Press,
London, pp 714–726
Kerschen G (Ed.) (2014) Modal analysis of nonlinear mechanical systems. CISM International
Centre for Mechanical Sciences, vol 555. Springer, Vienna
Kerschen G, Peeters M, Golinval J-C, Vakakis AF (2009) Nonlinear normal modes, Part I: a useful
framework for the structural dynamicist. Mech Syst Signal Process 23(1):170–194
Keller HB (1986) Lectures on numerical methods in bifurcation problems. Springer, Heidelberg
Kelly SG (1993) Fundamentals of mechanical vibrations. McGraw-Hill, New York
Kelly SG (2007) Advanced vibration analysis. CRC Press Inc., Boca Raton, Florida
Khalily F, Golnaraghi MF, Heppler GR (1994) On the dynamic behaviour of a flexible beam
carrying a moving mass. Nonlinear Dyn 5:493–513
Kobayashi AS (ed) (1993) Handbook on experimental mechanics. VCH Publishers, New York
Kobrinskii AE (1969) Dynamics of mechanisms with elastic connections and impact systems. Iliffe
Books, London
Korenev BG, Reznikov LM (1993) dynamic vibration absorbers, theory and technical
applications. Wiley, Chichester
Koughan J (1996) The collapse of the Tacoma Narrows Bridge, evaluation of competing theories
of its demise, and the effects of the disaster of succeeding bridge designs. Undergraduate
Engineering Review, The University of Texas at Austin, Department of Mechanical
Engineering, http://www.me.utexas.edu/*uer/papers/paper_jk.html
Kounadis AN (1991) Chaos-like phenomena in the non-linear dynamic stability of discrete
damped or undamped systems under step loading. Int J Non-Linear Mech 26(3/4):301–311
Kovacic I (2020) Nonlinear oscillations—exact solutions and their approximations. Springer,
Berlin
Kovacic I, Brennan M (eds) (2011) The Duffing equation: nonlinear oscillators and their
behaviour. Wiley
Kozol JE, Brach RM (1991) Two-dimensional vibratory impact with chaos. J Sound Vib 148
(2):319–327
Krack M, Aboulfotoh N, Twiefel J, Wallaschek J, Bergman LA, Vakakis AF (2017) Toward
understanding the self-adaptive dynamics of a harmonically forced beam with a sliding mass.
Arch Appl Mech 87:699–720
Krenk S, Høgsberg J (2014) Tuned mass absorber on a flexible structure. J Sound Vib 333
(6):1577–1595
Krauskopf B, Osinga HM, Galán-Vioque J (2007) Numerical continuation methods for dynamical
systems—path following and boundary value problems. Springer, Dordrecht
Kremer E (2016) Slow motions in systems with fast modulated excitation. J Sound Vib 383(295–
308)
Kremer E (2018) Low-frequency dynamics of systems with modulated high-frequency stochastic
excitation. J Sound Vib 437(422–436)
Krishnan A (1998) Use of finite difference method in the study of stepped beams. Int J Mech Eng
Educ 26(1):11–24
506
References