Armstrong-Hélouvry B, Dupont P, Canudas de Wit C (1994) A survey of models, analysis tools
and compensation methods for the control of machines with friction. Automatica 30(7):1083–
1138
Ashby MF, Jones DRH (1991) Engineering materials—an introduction to their properties and
applications. Pergamon Press, Oxford
Atluri S (1973) Nonlinear vibrations of a hinged beam including nonlinear inertia effects. ASME J
Appl Mech 40(1):121–126
Avramov KV, Mikhlin YV (2013) Review of applications of nonlinear normal modes for vibrating
mechanical systems. Appl Mech Rev 65:020801(1–20)
Awrejcewicz J, Krysko VA, Papkova IV, Krysko AV (2016) Deterministic Chaos in
one-dimensional continuous systems. World Scientific, Singapore
Babitsky VI (1998) Theory of vibro-impact systems and applications. Springer, Berlin
Babitsky VI, Veprik AM (1993) Damping of beam forced vibration by a moving washer. J Sound
Vib 166(1):77–85
Balachandran B, Nayfeh AH (1991) Observations of modal interactions in resonantly forced
beam-mass structures. Nonlinear Dyn 2:77–117
Barton DAW (2017) Control-based continuation: Bifurcation and stability analysis for physi-cal
experiments. Mech Syst Signal Process 84:54–64
Barton DAW, Mann BP, Burrow SG (2012) Control-based continuation for investigating
nonlinear experiments. J Vib Control 18(4):509–520
Bathe K, Wilson EL (1976) Numerical methods in finite element analysis. Prentice-Hall,
Englewood Cliffs, N.J.
Belhaq M, Fahsi A (2008) 2:1 and 1:1 frequency-locking in fast excited van der Pol-MathieuDuffing oscillator. Nonlinear Dyn 53(1–2):139–152
Belhaq M, Sah SM (2008) Fast parametrically excited van der Pol oscillator with time delay state
feedback. Int J Non-linear Mech 43(2):124–130
Bellman RE, Bentsman J, Meerkov SM (1986) Vibrational control of nonlinear systems:
vibrational stabilizability. IEEE Trans Autom Control AC-31(8):710–716
Bert CW (1973) Material damping: an introductory review of mathematic measures and
experimental technique. J Sound Vib 29(2):129–153
Bikdash M, Balachandran B, Nayfeh AH (1994) Melnikov analysis for a ship with a general
roll-damping model. Nonlinear Dyn 6:101–124
Billah Y, Scanlan R (1991) Resonance, Tacoma Narrows bridge failure, and undergraduate
physics textbooks. Am J Phys 59(2):118–123
Biran A, Breiner M (2002) MATLAB 6 for Engineers. Prentice Hall, London
Bishop SR, Clifford MJ (1996) Zones of chaotic behaviour in the parametrically excited
pendulum. J Sound Vib 189(1):142–147
Bishop SR, Xu D (1996) Stabilizing the parametrically excited pendulum onto high order periodic
orbits. J Sound Vib 194(2):287–293
Blackburn JA, Zhou-jing Y, Vik S, Smith HJT, Nerenberg MAH (1987) Experimental study of
chaos in a driven pendulum. Physica 26D:385–395
Blaquiére A (1966) Nonlinear system analysis. Academic, New York
Blekhman II (1976) Method of direct motion separation in problems of vibration acting on
nonlinear mechanical systems. Mech Solids 11(4):7–19
Blekhman II (1994) Vibrational mechanics. Fizmatlit Publishing Company, Moscow (In Russian)
Blekhman II (2000) Vibrational mechanics—nonlinear dynamic effects, general approach,
applications. World Scientific, Singapore. (English translation of Blekhman (1994))
Blekhman II (ed) (2004) Selected topics in vibrational mechanics. World Scientific, Singapore
Blekhman II (2008) Vibrational dynamic materials and composites. J Sound Vib 317:657–663
Blekhman II, Dzhanelidze GY (1964) Vibrational displacement. Nauka Press, Moscow (in
Russian)
Blekhman II, Malakhova OZ (1986) Quasi-equilibrium positions of the Chelomei pendulum. Sov
Phys Dokl 31(3):229–231
500
References
and compensation methods for the control of machines with friction. Automatica 30(7):1083–
1138
Ashby MF, Jones DRH (1991) Engineering materials—an introduction to their properties and
applications. Pergamon Press, Oxford
Atluri S (1973) Nonlinear vibrations of a hinged beam including nonlinear inertia effects. ASME J
Appl Mech 40(1):121–126
Avramov KV, Mikhlin YV (2013) Review of applications of nonlinear normal modes for vibrating
mechanical systems. Appl Mech Rev 65:020801(1–20)
Awrejcewicz J, Krysko VA, Papkova IV, Krysko AV (2016) Deterministic Chaos in
one-dimensional continuous systems. World Scientific, Singapore
Babitsky VI (1998) Theory of vibro-impact systems and applications. Springer, Berlin
Babitsky VI, Veprik AM (1993) Damping of beam forced vibration by a moving washer. J Sound
Vib 166(1):77–85
Balachandran B, Nayfeh AH (1991) Observations of modal interactions in resonantly forced
beam-mass structures. Nonlinear Dyn 2:77–117
Barton DAW (2017) Control-based continuation: Bifurcation and stability analysis for physi-cal
experiments. Mech Syst Signal Process 84:54–64
Barton DAW, Mann BP, Burrow SG (2012) Control-based continuation for investigating
nonlinear experiments. J Vib Control 18(4):509–520
Bathe K, Wilson EL (1976) Numerical methods in finite element analysis. Prentice-Hall,
Englewood Cliffs, N.J.
Belhaq M, Fahsi A (2008) 2:1 and 1:1 frequency-locking in fast excited van der Pol-MathieuDuffing oscillator. Nonlinear Dyn 53(1–2):139–152
Belhaq M, Sah SM (2008) Fast parametrically excited van der Pol oscillator with time delay state
feedback. Int J Non-linear Mech 43(2):124–130
Bellman RE, Bentsman J, Meerkov SM (1986) Vibrational control of nonlinear systems:
vibrational stabilizability. IEEE Trans Autom Control AC-31(8):710–716
Bert CW (1973) Material damping: an introductory review of mathematic measures and
experimental technique. J Sound Vib 29(2):129–153
Bikdash M, Balachandran B, Nayfeh AH (1994) Melnikov analysis for a ship with a general
roll-damping model. Nonlinear Dyn 6:101–124
Billah Y, Scanlan R (1991) Resonance, Tacoma Narrows bridge failure, and undergraduate
physics textbooks. Am J Phys 59(2):118–123
Biran A, Breiner M (2002) MATLAB 6 for Engineers. Prentice Hall, London
Bishop SR, Clifford MJ (1996) Zones of chaotic behaviour in the parametrically excited
pendulum. J Sound Vib 189(1):142–147
Bishop SR, Xu D (1996) Stabilizing the parametrically excited pendulum onto high order periodic
orbits. J Sound Vib 194(2):287–293
Blackburn JA, Zhou-jing Y, Vik S, Smith HJT, Nerenberg MAH (1987) Experimental study of
chaos in a driven pendulum. Physica 26D:385–395
Blaquiére A (1966) Nonlinear system analysis. Academic, New York
Blekhman II (1976) Method of direct motion separation in problems of vibration acting on
nonlinear mechanical systems. Mech Solids 11(4):7–19
Blekhman II (1994) Vibrational mechanics. Fizmatlit Publishing Company, Moscow (In Russian)
Blekhman II (2000) Vibrational mechanics—nonlinear dynamic effects, general approach,
applications. World Scientific, Singapore. (English translation of Blekhman (1994))
Blekhman II (ed) (2004) Selected topics in vibrational mechanics. World Scientific, Singapore
Blekhman II (2008) Vibrational dynamic materials and composites. J Sound Vib 317:657–663
Blekhman II, Dzhanelidze GY (1964) Vibrational displacement. Nauka Press, Moscow (in
Russian)
Blekhman II, Malakhova OZ (1986) Quasi-equilibrium positions of the Chelomei pendulum. Sov
Phys Dokl 31(3):229–231
500
References