Elmegård M, Krauskopf B, Osinga HM, Starke J, Thomsen JJ (2014) Bifurcation analysis of a
smoothed model of a forced impacting beam and comparison with an experiment. Nonlinear
Dyn 77(3):951–966
El Naschie MS (1990a) Stress, stability and Chaos. McGraw-Hill, London
El Naschie MS (1990b) On the susceptibility of local elastic buckling to chaos. Zeitschrift für
Angew Math Mechanik 70(12):535–542
El Naschie MS, Al Athel S (1989 On the connection between statical and dynamical chaos.
Zeitschrift für Naturforschung 44a:645–650
Enz S, Thomsen JJ (2011a) Predicting phase shift effects for vibrating fluid-conveying pipes due to
Coriolis forces and fluid pulsation. J Sound Vib 330(21):5096–5113
Enz S, Thomsen JJ, Neumeyer S (2011b) Experimental investigation of zero phase shift effects for
Coriolis flowmeters due to pipe imperfections. Flow Meas Instrum 22(1):1–9
Euler L (1744) Methodus Inveniendi Lineas Curvas Maximi Minimive Properietate Gau-dentes
(Appendix, de Curvis Elasticis). Marcum Michaelem Bousquet, Lausanne and Geneva (in
Latin)
Evan-Iwanowski RM (1976) Resonance oscillations in mechanical systems. Elsevier, Amsterdam
Ewins DJ (2000) Modal testing: theory, practice and application, 2nd edn. Wiley, New York
Farmer JD, Ott E, Yorke JA (1983) The dimension of chaotic attractors. Physica 7D:153–180
Feeny B, Guran A, Hinrichs N, Popp K (1998) A historical review on dry friction and stick-slip
phenomena. ASME Appl Mech Rev 51(5):321–341
Feeny BF, Moon BF (2000) Quenching stick-slip chaos with dither. J Sound Vib 237(1):173–180
Feigenbaum MJ (1978) Qualitative universality for a class of nonlinear transformations. J Stat
Phys 19(1):25–52
Feigenbaum MJ (1980, Summer) Universal behavior in nonlinear systems. Los Alamos Sci 4–27
Fenn JG, Bayne DA, Sinclair BD (1998) Experimental investigation of the “effective potential” of
an inverted pendulum. Am J Phys 66(11):981–984
Fidlin AY (1991) On averaging in systems with a variable number of degrees of freedom. J Appl
Math Mech 55:507–510
Fidlin A (1999) On the separation of motions in systems with a large fast excitation of general
form. Eur J Mech A/Solids 18:527–538
Fidlin A (2000) On asymptotic properties of systems with strong and very strong high-frequency
excitation. J Sound Vib 235(2):219–233
Fidlin A (2001) On the asymptotic analysis of discontinuous systems. ZAMM 82(2):75–88
Fidlin A (2002) On the oscillations in discontinuous and unconventionally strong excited systems:
asymptotic approaches and dynamic effects. Doctoral dissertation, Department of Mechanical
Engineering, University of Karlsruhe
Fidlin A (2004a) On asymptotic analysis of systems with fast excitation. In: Blekhman II
(ed) Selected topics in vibrational mechanics. World Scientific, Singapore
Fidlin A (2004b) On the averaging of discontinuous systems. In: Blekhman II (ed) Selected topics
in vibrational mechanics. World Scientific, Singapore
Fidlin A (2005) On the strongly nonlinear behavior of an oscillator in a clearance. In: van
Campen DH, Lazurko MD, van der Oever WPJM (eds) (2005) Proceedings of ENOC-2005,
Eindhoven, Netherlands, 7–12 August 2005, Technical University of Eindhoven, pp 389–398
Fidlin A (2006) Nonlinear oscillations in mechanical engineering. Springer, Berlin Heidelberg
Fidlin A, Thomsen JJ (2001) Predicting vibration-induced displacement for a resonant friction
slider. Eur J Mech A/Solids 20:155–166
Fidlin A, Thomsen JJ (2007) Nontrivial effects of high-frequency excitation for strongly damped
mechanical systems. Int J Non-Linear Mech 43:569–578
Flügge W (1962) Handbook of engineering mechanics. McGraw-Hill, New York
Fraser WB, Champneys AR (2002) The ‘Indian rope trick’ for a parametrically excited flexible
rod; nonlinear and subharmonic analysis. Proc Roy Soc Lond A 458(2022):1353–1373
Galileo G (1638) Discorsi e Dimostrazioni Matematiche, Intorno a Due Nuove Scienze (Eng.: Two
New Sciences). Elsevier, Leiden
References
503
smoothed model of a forced impacting beam and comparison with an experiment. Nonlinear
Dyn 77(3):951–966
El Naschie MS (1990a) Stress, stability and Chaos. McGraw-Hill, London
El Naschie MS (1990b) On the susceptibility of local elastic buckling to chaos. Zeitschrift für
Angew Math Mechanik 70(12):535–542
El Naschie MS, Al Athel S (1989 On the connection between statical and dynamical chaos.
Zeitschrift für Naturforschung 44a:645–650
Enz S, Thomsen JJ (2011a) Predicting phase shift effects for vibrating fluid-conveying pipes due to
Coriolis forces and fluid pulsation. J Sound Vib 330(21):5096–5113
Enz S, Thomsen JJ, Neumeyer S (2011b) Experimental investigation of zero phase shift effects for
Coriolis flowmeters due to pipe imperfections. Flow Meas Instrum 22(1):1–9
Euler L (1744) Methodus Inveniendi Lineas Curvas Maximi Minimive Properietate Gau-dentes
(Appendix, de Curvis Elasticis). Marcum Michaelem Bousquet, Lausanne and Geneva (in
Latin)
Evan-Iwanowski RM (1976) Resonance oscillations in mechanical systems. Elsevier, Amsterdam
Ewins DJ (2000) Modal testing: theory, practice and application, 2nd edn. Wiley, New York
Farmer JD, Ott E, Yorke JA (1983) The dimension of chaotic attractors. Physica 7D:153–180
Feeny B, Guran A, Hinrichs N, Popp K (1998) A historical review on dry friction and stick-slip
phenomena. ASME Appl Mech Rev 51(5):321–341
Feeny BF, Moon BF (2000) Quenching stick-slip chaos with dither. J Sound Vib 237(1):173–180
Feigenbaum MJ (1978) Qualitative universality for a class of nonlinear transformations. J Stat
Phys 19(1):25–52
Feigenbaum MJ (1980, Summer) Universal behavior in nonlinear systems. Los Alamos Sci 4–27
Fenn JG, Bayne DA, Sinclair BD (1998) Experimental investigation of the “effective potential” of
an inverted pendulum. Am J Phys 66(11):981–984
Fidlin AY (1991) On averaging in systems with a variable number of degrees of freedom. J Appl
Math Mech 55:507–510
Fidlin A (1999) On the separation of motions in systems with a large fast excitation of general
form. Eur J Mech A/Solids 18:527–538
Fidlin A (2000) On asymptotic properties of systems with strong and very strong high-frequency
excitation. J Sound Vib 235(2):219–233
Fidlin A (2001) On the asymptotic analysis of discontinuous systems. ZAMM 82(2):75–88
Fidlin A (2002) On the oscillations in discontinuous and unconventionally strong excited systems:
asymptotic approaches and dynamic effects. Doctoral dissertation, Department of Mechanical
Engineering, University of Karlsruhe
Fidlin A (2004a) On asymptotic analysis of systems with fast excitation. In: Blekhman II
(ed) Selected topics in vibrational mechanics. World Scientific, Singapore
Fidlin A (2004b) On the averaging of discontinuous systems. In: Blekhman II (ed) Selected topics
in vibrational mechanics. World Scientific, Singapore
Fidlin A (2005) On the strongly nonlinear behavior of an oscillator in a clearance. In: van
Campen DH, Lazurko MD, van der Oever WPJM (eds) (2005) Proceedings of ENOC-2005,
Eindhoven, Netherlands, 7–12 August 2005, Technical University of Eindhoven, pp 389–398
Fidlin A (2006) Nonlinear oscillations in mechanical engineering. Springer, Berlin Heidelberg
Fidlin A, Thomsen JJ (2001) Predicting vibration-induced displacement for a resonant friction
slider. Eur J Mech A/Solids 20:155–166
Fidlin A, Thomsen JJ (2007) Nontrivial effects of high-frequency excitation for strongly damped
mechanical systems. Int J Non-Linear Mech 43:569–578
Flügge W (1962) Handbook of engineering mechanics. McGraw-Hill, New York
Fraser WB, Champneys AR (2002) The ‘Indian rope trick’ for a parametrically excited flexible
rod; nonlinear and subharmonic analysis. Proc Roy Soc Lond A 458(2022):1353–1373
Galileo G (1638) Discorsi e Dimostrazioni Matematiche, Intorno a Due Nuove Scienze (Eng.: Two
New Sciences). Elsevier, Leiden
References
503