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systems. J Sound Vib 221(5):849–866
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Meccanica 51:1–17
Lacarbonara W, Rega G, Nayfeh AH (2003) Resonant non-linear normal modes. Part I: analytical
treatment for structural one-dimensional systems. Int J Non-Linear Mech 38:851–872
Lacarbonara W, Yabuno H (2006) Refined models of elastic beams undergoing large in-plane
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Lakrad F, Belhaq M (2002) Periodic solutions of strongly non-linear oscillators by the multiple
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Lancioni G, Lenci S, Galvanetto U (2016) Dynamics of windscreen wiper blades: squeal noise,
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Langthjem MA, Sugiyama Y (1999) Vibration and stability analysis of cantilevered two-pipe
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Langthjem MA, Sugiyama Y (2000) Dynamic stability of columns subjected to follower loads: a
survey. J Sound Vib 238(5):809–851
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vibrations to control effective properties of discrete elastic waveguides. In Andrievsky BR,
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(ENOC 2008), June 30–July 4, 2008, St. Petersburg, Russia, 6 pp
Lazarov BS, Thomsen JJ (2009) Using high-frequency vibrations and non-linear inclusions to
create metamaterials with adjustable effective properties. Int J Non-linear Mech 44:90–97
Lehman B, Graef JR, Sahay D (1996) Vibrational control of one- and two-species harvested
population models with a delay. Autom Remote Control 57(2):177–186
Leipholz H (1977) Direct variational methods and eigenvalue problems in engineering. Publishing,
Leyden, Noordhoff Int
Leissa AW (1993a) Vibration of plates. Acoustical Society of America, New York
Leissa AW (1993b) Vibration of Shells. Acoustical Society of America, New York
Lenci S, Rega G (2003) Optimal control of nonregular dynamics in a duffing oscillator. Nonlinear
Dyn 33:71–86
Leven RW, Koch BP (1981) Chaotic behaviour of a parametrically excited damped pendulum.
Phys Lett 86A(2):71–74
Leven RW, Pompe B, Wilke C, Koch BP (1985) Experiments on periodic and chaotic motions of a
parametrically forced pendulum. Physica 16D:371–384
Levi M (1999) Geometry and physics of averaging with applications. Phys D 132:150–164
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conveying fluid. Int J Non-linear Mech 29(1):83–107
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parameters. Smart Mater Struct 6:573–582
Kuo C-C, Morino L, Dugundji J (1972) Perturbation and harmonic balance methods for nonlinear
panel flutter. Am Inst Aeronaut Astronaut J 10(11):1479–1484
Lacarbonara W (1999) Direct treatment and discretizations of non-linear spatially continuous
systems. J Sound Vib 221(5):849–866
Lacarbonara W, Carboni B, Quaranta G (2016) Nonlinear normal modes for damage detection.
Meccanica 51:1–17
Lacarbonara W, Rega G, Nayfeh AH (2003) Resonant non-linear normal modes. Part I: analytical
treatment for structural one-dimensional systems. Int J Non-Linear Mech 38:851–872
Lacarbonara W, Yabuno H (2006) Refined models of elastic beams undergoing large in-plane
motions: theory and experiment. Int J Solids Struct 43(17):5066–5084
Lakrad F, Belhaq M (2002) Periodic solutions of strongly non-linear oscillators by the multiple
scales method. J Sound Vib 258(4):677–700
Lancioni G, Lenci S, Galvanetto U (2016) Dynamics of windscreen wiper blades: squeal noise,
reversal noise and chattering. Int J Non-Linear Mech 80:132–143
Lanczos C (1962) The variational principles of mechanics. University of Toronto Press, Toronto
Landau LD, Lifshitz EM (1976) Course of theoretical physics, vol 1. Mechanics. Pergamon Press,
Oxford
Langthjem M (1995a) Finite element analysis and optimization of a fluid-conveying pipe. Mech
Struct Mach 23(5):343–376
Langthjem MA (1995b) On dynamic stability of an immersed fluid-conveying tube. DCAMM
Report 512, Technical University of Denmark
Langthjem MA, Sugiyama Y (1999) Vibration and stability analysis of cantilevered two-pipe
systems conveying different fluids. J Fluids Struct 13(2):251–268
Langthjem MA, Sugiyama Y (2000) Dynamic stability of columns subjected to follower loads: a
survey. J Sound Vib 238(5):809–851
Lazan BJ (1968) Damping of materials and members in structural mechanics. Pergamon Press,
London
Lazarov B, Snaeland SO, Thomsen JJ (2010) High-frequency effects in 1D spring-mass systems
with strongly non-linear inclusions. In: Leonov G, Nijmeijer H, Pogromsky A, Fradkov A
(eds) Dynamics and control of hybrid dynamical systems, World Scientific, 20 pp
Lazarov B, Snaeland, SO, Thomsen JJ (2008) Using strong nonlinearity and high-frequency
vibrations to control effective properties of discrete elastic waveguides. In Andrievsky BR,
Fradkov AL (eds),Proceedings of the sixth EUROMECH nonlinear dynamics conference
(ENOC 2008), June 30–July 4, 2008, St. Petersburg, Russia, 6 pp
Lazarov BS, Thomsen JJ (2009) Using high-frequency vibrations and non-linear inclusions to
create metamaterials with adjustable effective properties. Int J Non-linear Mech 44:90–97
Lehman B, Graef JR, Sahay D (1996) Vibrational control of one- and two-species harvested
population models with a delay. Autom Remote Control 57(2):177–186
Leipholz H (1977) Direct variational methods and eigenvalue problems in engineering. Publishing,
Leyden, Noordhoff Int
Leissa AW (1993a) Vibration of plates. Acoustical Society of America, New York
Leissa AW (1993b) Vibration of Shells. Acoustical Society of America, New York
Lenci S, Rega G (2003) Optimal control of nonregular dynamics in a duffing oscillator. Nonlinear
Dyn 33:71–86
Leven RW, Koch BP (1981) Chaotic behaviour of a parametrically excited damped pendulum.
Phys Lett 86A(2):71–74
Leven RW, Pompe B, Wilke C, Koch BP (1985) Experiments on periodic and chaotic motions of a
parametrically forced pendulum. Physica 16D:371–384
Levi M (1999) Geometry and physics of averaging with applications. Phys D 132:150–164
Li GX, Païdoussis MP (1994) Stability, double degeneracy and chaos in cantilevered pipes
conveying fluid. Int J Non-linear Mech 29(1):83–107
References
507