Li GX, Rand RH, Moon FC (1990) Bifurcations and chaos in a forced zero-stiffness impact
oscillator. Int J Non-linear Mech 25(4):417–432
Lian J-W (2005) Identifying Coulomb and viscous damping from free-vibration acceleration
decrements. J Sound Vib 282(3–5):1208–1220
Liang JW, Feeny BF (1998) Identifying coulomb and viscous friction from free-vibration
decrements. Nonlinear Dyn 16:337–347
Londoño JM, Neild SA, Cooper JE (2015) Identification of backbone curves of nonlinear systems
from resonance decay responses. J Sound Vib 348:224–238
Lorenz H (1924) Lehrbuch der Technischen Physik. Band 1: Technische Mechanik Starrer
Gebilde, Verlag von Julius Springer, Berlin
Lowenstern ER (1932) The stabilizing effect of imposed oscillations of high frequency on a
dynamical system. Philos Mag 13:458–486
Lurie KA (2007) An Introduction to the mathematical theory of dynamic materials. Springer,
New York
Mailybaev A, Seyranian AP (2009) Stabilization of statically unstable columns by axial vibration
of arbitrary frequency. J Sound Vib 328:203–212
Makrides GA, Edelstein WS (1992) Some numerical studies of chaotic motions in tubes conveying
fluid. J Sound Vib 152(3):517–530
Mandelbrot BB (1982) The fractal geometry of nature. WH Freeman, San Francisco
Marguerre K, Wölfel H (1979) mechanics of vibration. Sijthoff & Noordhoff, The Netherlands
Marsden JE, McCracken M (1976) The Hopf Bifurcation and its applications. Springer, New York
Meerkov SM (1980) Principle of vibrational control: theory and applications. IEEE Trans Autom
Control AC-25(4):755–762
Meirovitch L (1967) Analytical methods in vibrations. Macmillan, New York
Meirovitch L (2001) Fundamentals of vibrations. McGraw-Hill, New York
Meriam JL, Kraige LG (1998) Engineering mechanics, vol 2. Dynamics. Wiley, New York
Michaelis MM (1985) Stroboscopic analysis of the inverted pendulum. Am J Phys 53(11):1079–
1083
Michaux MA, Ferri AA, Cunefare KA (2008) Effect of waveform on the effectiveness of tangential
dither forces to cancel friction-induced oscillations. J Sound Vib 311:802–823
Mickens RE (1984) Comments on the method of harmonic balance. J Sound Vib 94(3):456–460
Mikhlin YV, Avramov KV (2010) Nonlinear normal modes for vibrating mechanical systems.
Review of Theoretical developments. Appl Mech Rev 63(6):060802(1–21)
Miranda EC, Thomsen JJ (1998) Vibration induced sliding: theory and experiment for a beam with
a spring-loaded mass. Nonlinear Dyn 16(2):167–186
Mitropolsky YA (1965) Problems of the asymptotic theory of nonstationary vibrations. Israel
Program for Scientific Translations Ltd., Jerusalem
Mitropolsky YA, Nguyen VD (1997) Applied asymptotic methods in nonlinear oscillations.
Kluwer, Dordrecht
Moon FC (1980) Experiments on chaotic motions of a forced nonlinear oscillator: strange
attractors. ASME J Appl Mech 47(3):638–644
Moon FC (1987) Chaotic vibrations. Wiley, New York
Moon FC, Broschart T (1991) Chaotic source of noise in machine acoustics. Arc Appl Mech
61:438–448
Moon FC, Cusumano J, Holmes PJ (1987) Evidence for homoclinic orbits as a precursor to chaos
in a magnetic pendulum. Physica 24D:383–390
Moon FC, Li GX (1990) Experimental study of chaotic vibrations in a pin-jointed space truss
structure. AIAA J 28(5):915–921
Moon FC, Shaw SW (1983) Chaotic vibrations of a beam with non-linear boundary conditions.
Int J Non-Linear Mech 18(6):465–477
Moore DB, Shaw SW (1990) The experimental response of an impacting pendulum system. Int J
Non-Linear Mech 25(1):1–16
508
References
oscillator. Int J Non-linear Mech 25(4):417–432
Lian J-W (2005) Identifying Coulomb and viscous damping from free-vibration acceleration
decrements. J Sound Vib 282(3–5):1208–1220
Liang JW, Feeny BF (1998) Identifying coulomb and viscous friction from free-vibration
decrements. Nonlinear Dyn 16:337–347
Londoño JM, Neild SA, Cooper JE (2015) Identification of backbone curves of nonlinear systems
from resonance decay responses. J Sound Vib 348:224–238
Lorenz H (1924) Lehrbuch der Technischen Physik. Band 1: Technische Mechanik Starrer
Gebilde, Verlag von Julius Springer, Berlin
Lowenstern ER (1932) The stabilizing effect of imposed oscillations of high frequency on a
dynamical system. Philos Mag 13:458–486
Lurie KA (2007) An Introduction to the mathematical theory of dynamic materials. Springer,
New York
Mailybaev A, Seyranian AP (2009) Stabilization of statically unstable columns by axial vibration
of arbitrary frequency. J Sound Vib 328:203–212
Makrides GA, Edelstein WS (1992) Some numerical studies of chaotic motions in tubes conveying
fluid. J Sound Vib 152(3):517–530
Mandelbrot BB (1982) The fractal geometry of nature. WH Freeman, San Francisco
Marguerre K, Wölfel H (1979) mechanics of vibration. Sijthoff & Noordhoff, The Netherlands
Marsden JE, McCracken M (1976) The Hopf Bifurcation and its applications. Springer, New York
Meerkov SM (1980) Principle of vibrational control: theory and applications. IEEE Trans Autom
Control AC-25(4):755–762
Meirovitch L (1967) Analytical methods in vibrations. Macmillan, New York
Meirovitch L (2001) Fundamentals of vibrations. McGraw-Hill, New York
Meriam JL, Kraige LG (1998) Engineering mechanics, vol 2. Dynamics. Wiley, New York
Michaelis MM (1985) Stroboscopic analysis of the inverted pendulum. Am J Phys 53(11):1079–
1083
Michaux MA, Ferri AA, Cunefare KA (2008) Effect of waveform on the effectiveness of tangential
dither forces to cancel friction-induced oscillations. J Sound Vib 311:802–823
Mickens RE (1984) Comments on the method of harmonic balance. J Sound Vib 94(3):456–460
Mikhlin YV, Avramov KV (2010) Nonlinear normal modes for vibrating mechanical systems.
Review of Theoretical developments. Appl Mech Rev 63(6):060802(1–21)
Miranda EC, Thomsen JJ (1998) Vibration induced sliding: theory and experiment for a beam with
a spring-loaded mass. Nonlinear Dyn 16(2):167–186
Mitropolsky YA (1965) Problems of the asymptotic theory of nonstationary vibrations. Israel
Program for Scientific Translations Ltd., Jerusalem
Mitropolsky YA, Nguyen VD (1997) Applied asymptotic methods in nonlinear oscillations.
Kluwer, Dordrecht
Moon FC (1980) Experiments on chaotic motions of a forced nonlinear oscillator: strange
attractors. ASME J Appl Mech 47(3):638–644
Moon FC (1987) Chaotic vibrations. Wiley, New York
Moon FC, Broschart T (1991) Chaotic source of noise in machine acoustics. Arc Appl Mech
61:438–448
Moon FC, Cusumano J, Holmes PJ (1987) Evidence for homoclinic orbits as a precursor to chaos
in a magnetic pendulum. Physica 24D:383–390
Moon FC, Li GX (1990) Experimental study of chaotic vibrations in a pin-jointed space truss
structure. AIAA J 28(5):915–921
Moon FC, Shaw SW (1983) Chaotic vibrations of a beam with non-linear boundary conditions.
Int J Non-Linear Mech 18(6):465–477
Moore DB, Shaw SW (1990) The experimental response of an impacting pendulum system. Int J
Non-Linear Mech 25(1):1–16
508
References