Chatterjee S, Singha TK, Karmakar SK (2003) Non-trivial effect of fast vibration on the dynamics
of a class of non-linearly damped mechanical systems. J Sound Vib 260(4):711–730
Chatterjee S, Singha TK, Karmakar SK (2004) Effects of high-frequency excitation on a class of
mechanical systems with dynamic friction. J Sound Vib 269(1–2):61–89
Chelomei SV (1981) Dynamic stability upon high-frequency parametric excitation. Sov Phys Dokl
26(4):390–392
Chelomei VN (1956) On the possibility of increasing the stability of elastic systems by using
vibration. Dokl Akad Nauk SSSR 110(3):345–347 (in Russian)
Chelomei VN (1983) Mechanical paradoxes caused by vibrations. Sov Phys Dokl 28(5):387–390
Chen Y (1966) Vibrations: theoretical methods. Addison-Wesley, Reading, Massachusetts
Chen G (ed) (2000) Controlling chaos and bifurcations in engineering systems. CRC Press, Boca
Raton, Florida
Cicconofri F, DeSimone A (2016) Motility of a model bristle-bot: a theoretical analysis. Int J
Non-Linear Mech 76:233–239
Cochard A, Bureau L, Baumberger T (2003) Stabilization of frictional sliding by normal load
modulation. ASME J Appl Mech 70(March):220–226
Collatz L (1963) Eigenwertaufgaben mit Technischen Anwendungen. Akademische
Verlagsgesellschaft Geest & Portig K.-G, Leipzig (in German)
Cook GR, Simiu E (1991) Periodic and chaotic oscillations of modified stoker column. J Eng
Mech 117(9):2049–2064
Cook RD, Malkus DS, Plesha ME (1989) Concepts and applications of finite element analysis.
Wiley, New York
Crandall SH (1970) The role of damping in vibration theory. J Sound Vib 11(1):3–18
Cross MC, Hohenberg PC (1994) Spatiotemporal chaos. Science 264:1569–1570
Dahl PR (1976) Solid friction damping of mechanical vibrations. AIAA J 14(12):1675–1682
Dankowicz H, Schilder F (2013) Recipes for continuation. SIAM—Society for Industrial and
Applied Mathematics, Philadelphia, USA
Den Hartog JP (1985) Mechanical vibrations. Dover Publications, New York
Denis V, Jossic M, Renault A, Giraud-Audine C, Thomas O (2017) Robust measurement of
backbone curves of a nonlinear piezoelectric beam. In: Stépán G, Csernák G (eds) (2017)
Proceedings of the 9th EUROMECH nonlinear dynamics conference (ENOC 2017), June 25–
30, 2017, Budapest, Hungary, 2 pp
Dewdney AK (1985, August) A computer microscope zooms in for a look at the most complex
objects in mathematics. Sci Am 8–14
Dimarogonas AD, Haddad S (1992) Vibration for engineers. Prentice-Hall, London
Dimentberg MF, Iourtchenko DV (2004) Random vibrations with impacts: a review. Non-linear
Dyn 36:229–254
Ditto WL, Pecora LM (1993, August) Mastering chaos. Sci Am 62–68
Ditto WL, Rauseo SN, Spano ML (1990) Experimental control of chaos. Phys Rev Lett 65
(26):3211–3214
Dohnal F (2008) Damping by parametric stiffness excitation: resonance and anti-resonance. J Vib
Control 14(5):669–688
Dowell EH (1982) Flutter of a buckled plate as an example of chaotic motion of a deterministic
autonomous system. J Sound Vib 85(3):333–344
Dowell EH, Pezeshki C (1986) On the understanding of chaos in Duffing’s equation including a
comparison with experiment. ASME J Appl Mech 53(1):5–9
Dowell EH, Pezeshki C (1988) On necessary and sufficient conditions for chaos to occur in
Duffing’s equation: a heuristic approach. J Sound Vib 121(2):195–200
Elishakoff I (2005) Controversy associated with the so-called “Follower Forces”: Critical
overview. Appl Mech Rev 58(2):117–142
Elishakoff I, Kaplunov J, Nolde E (2015) Celebrating the centenary of Timoshenko’s study of
effects of shear deformation and rotary inertia. Appl Mech Rev 67(6):060802(1–11)
502
References
of a class of non-linearly damped mechanical systems. J Sound Vib 260(4):711–730
Chatterjee S, Singha TK, Karmakar SK (2004) Effects of high-frequency excitation on a class of
mechanical systems with dynamic friction. J Sound Vib 269(1–2):61–89
Chelomei SV (1981) Dynamic stability upon high-frequency parametric excitation. Sov Phys Dokl
26(4):390–392
Chelomei VN (1956) On the possibility of increasing the stability of elastic systems by using
vibration. Dokl Akad Nauk SSSR 110(3):345–347 (in Russian)
Chelomei VN (1983) Mechanical paradoxes caused by vibrations. Sov Phys Dokl 28(5):387–390
Chen Y (1966) Vibrations: theoretical methods. Addison-Wesley, Reading, Massachusetts
Chen G (ed) (2000) Controlling chaos and bifurcations in engineering systems. CRC Press, Boca
Raton, Florida
Cicconofri F, DeSimone A (2016) Motility of a model bristle-bot: a theoretical analysis. Int J
Non-Linear Mech 76:233–239
Cochard A, Bureau L, Baumberger T (2003) Stabilization of frictional sliding by normal load
modulation. ASME J Appl Mech 70(March):220–226
Collatz L (1963) Eigenwertaufgaben mit Technischen Anwendungen. Akademische
Verlagsgesellschaft Geest & Portig K.-G, Leipzig (in German)
Cook GR, Simiu E (1991) Periodic and chaotic oscillations of modified stoker column. J Eng
Mech 117(9):2049–2064
Cook RD, Malkus DS, Plesha ME (1989) Concepts and applications of finite element analysis.
Wiley, New York
Crandall SH (1970) The role of damping in vibration theory. J Sound Vib 11(1):3–18
Cross MC, Hohenberg PC (1994) Spatiotemporal chaos. Science 264:1569–1570
Dahl PR (1976) Solid friction damping of mechanical vibrations. AIAA J 14(12):1675–1682
Dankowicz H, Schilder F (2013) Recipes for continuation. SIAM—Society for Industrial and
Applied Mathematics, Philadelphia, USA
Den Hartog JP (1985) Mechanical vibrations. Dover Publications, New York
Denis V, Jossic M, Renault A, Giraud-Audine C, Thomas O (2017) Robust measurement of
backbone curves of a nonlinear piezoelectric beam. In: Stépán G, Csernák G (eds) (2017)
Proceedings of the 9th EUROMECH nonlinear dynamics conference (ENOC 2017), June 25–
30, 2017, Budapest, Hungary, 2 pp
Dewdney AK (1985, August) A computer microscope zooms in for a look at the most complex
objects in mathematics. Sci Am 8–14
Dimarogonas AD, Haddad S (1992) Vibration for engineers. Prentice-Hall, London
Dimentberg MF, Iourtchenko DV (2004) Random vibrations with impacts: a review. Non-linear
Dyn 36:229–254
Ditto WL, Pecora LM (1993, August) Mastering chaos. Sci Am 62–68
Ditto WL, Rauseo SN, Spano ML (1990) Experimental control of chaos. Phys Rev Lett 65
(26):3211–3214
Dohnal F (2008) Damping by parametric stiffness excitation: resonance and anti-resonance. J Vib
Control 14(5):669–688
Dowell EH (1982) Flutter of a buckled plate as an example of chaotic motion of a deterministic
autonomous system. J Sound Vib 85(3):333–344
Dowell EH, Pezeshki C (1986) On the understanding of chaos in Duffing’s equation including a
comparison with experiment. ASME J Appl Mech 53(1):5–9
Dowell EH, Pezeshki C (1988) On necessary and sufficient conditions for chaos to occur in
Duffing’s equation: a heuristic approach. J Sound Vib 121(2):195–200
Elishakoff I (2005) Controversy associated with the so-called “Follower Forces”: Critical
overview. Appl Mech Rev 58(2):117–142
Elishakoff I, Kaplunov J, Nolde E (2015) Celebrating the centenary of Timoshenko’s study of
effects of shear deformation and rotary inertia. Appl Mech Rev 67(6):060802(1–11)
502
References