This first of three volumes includes papers from the second series of NODYCON, which was held virtually in February of 2021. The conference papers reflect a broad coverage of topics in nonlinear dynamics, ranging from traditional topics from established streams of research to those from relatively unexplored and emerging venues of research. These include
- Fluid-structure interactions
- Mechanical systems and structures
- Computational nonlinear dynamics
- Analytical techniques
- Bifurcation and dynamic instability
- Rotating systems
- Modal interactions and energy transfer
- Nonsmooth systems
Chapter
1. Nonlinear dynamics of cross-flow heat exchanger tube
conveying fluid.
Chapter
2. Approximate model of flat ribbon vibrations in
the wind.
Chapter
3. Wall shear stress for an aorta with aneurysms via
fluid-structure analysis.
Chapter
4. Effect of nonlinear blood viscosity on
LDL transport and fluid-structure interaction biomechanics in a
multi-stenosis left circumflex coronary artery.
Chapter
5. Reduced-order
modelling of flutter oscillations in an aero-elastic system using scientific
machine learning.
Chapter
6. Synchronization study on the vortex-induced
vibrations using wake oscillator model.
Chapter
7. Effects of strong
viscosity with variable fluid properties on falling film instability.-
Chapter
8. Phenomenological multimode models for flexible pipelines
transporting slug flows and undergoing vortex-induced vibrations.
Chapter
9.
Nonlinear hydrodynamic damping of elastic vibrations of beams near a plane
boundary.
Chapter
10. Hydrodynamic forces acting on cylindrical piles
subjected to wind forced nonlinear water waves.
Chapter
11. A 3D nonlinear
reduced-order model of a cantilevered aspirating pipe under VIV.
Chapter
12.
3D reduced order model for an orthotropic stiffened piezoelectric
cantilevered flexible cylinder under VIV.
Chapter
13. Dynamics of the
fluid-structure coupling model of a direct-acting relief valve.
Chapter
14.
Nonlinear dynamics of spherical caps.
Chapter
15. Exploring the dynamics of
viscously damped nonlinear oscillators via damped backbone curves: A normal
form approach.
Chapter
16. Influence of circumferential discontinuity of an
elastic foundation on the nonlinear dynamics of cylindrical shells with
functionally graded material.
Chapter
17. The effect of boundary conditions
on nonlinear vibrations of plates on a viscoelastic base via the fractional
calculus standard linear solid model.
Chapter
18. Augmented perpetual
manifolds of mechanical systems.
Chapter
19. Application of RFEM to modeling
dynamics of lattice boom offshore cranes.
Chapter
20. Dynamic models of the
cranes applied to offshore wind farm service.
Chapter
21. Magnetoelastic
nonlinear natural vibration analysis of an annular plate in induced
non-uniform magnetic field.
Chapter
22. Modelling and analysis of vibrations
on an aerial cable car system with moving mass.
Chapter
23. Influence of
Model Nonlinearities on the Dynamics of Ring-type Gyroscopes.
Chapter
24.
Unloading the angular momentum of spacecraft using internal gravitational
dampers.
Chapter
25. Studies on the liquid sloshing and
rigid-liquid-flexible coupling dynamics of spacecraft.
Chapter
26. Dynamic
sensitivity analysis of transient responses for nonlinear structures.-
Chapter
27. Perturbations for non-local elastic vibration of circular
arches.
Chapter
28. Two-scale curved beam model for dynamic analysis of
masonry arches.
Chapter
29. Enriched Vlasov beam model for nonlinear dynamic
analysis of thin-walled structures.
Chapter
30. Nonlinear modal analysis
through the generalization of the eigenvalue problem: applications for
dissipative dynamics.
Chapter
31. Continuation-based design of
self-contacting soft robotic manipulators.
Chapter
32. Bayesian local
surrogate models for the control-based continuation of multiple-timescale
systems.
Chapter
33. Reduced-order models for shallow spherical shells:
comparison of direct normal form and modal derivatives for predicting the
type of nonlinearity.
Chapter
34. Parametric model order reduction for
localized nonlinear feature inclusion.
Chapter
35. Nonlinear vibration of
functionally graded shallow shells resting on elastic foundations.
Chapter
36. High-order approximation of global connections in planar system with the
nonlinear time transformation method.
Chapter
37. Analytic methods for
estimating the effects of stochastic intermittent loading on fatigue crack
nucleation.
Chapter
38. Real-time data-driven method for fatigue failure
prediction under stochastic loading.
Chapter 39.An improved formulation for
structural optimization of nonlinear dynamic response.
Chapter
40. An
improved tensorial implementation of the incremental harmonic balance method
for frequency-domain stability analysis.
Chapter
41. Statistical analyses of
an iterative algorithm class for dynamical systems.
Chapter
42.
WendlandXool: Simplified C++ code to compute Wendland functions.
Chapter
43.
Resonances of Van der Pol Equation with parametric damping.
Chapter
44.
Analysis of general piecewise-linear nonlinear systems using a hybrid
analytical-numeric computational method.
Chapter
45. Analytical
approximation of forced oscillations of nonlinear Helmholtz Resonator by
homotopy analysis method.
Chapter
46. Nonlinear aspects of one-dimensional
supersymmetry.
Chapter
47. Global stability analysis of an unemployment
model with two distributed time delays.
Chapter
48. Estimating generic
canard explosions via efficient symbolic computation.
Chapter
49. A study of
the self-oscillating regime in the problem of an atomic force microscope in
the contact mode .
Chapter
50. Non rectification of heat in graded Si-Ge
alloys.
Chapter
51. Expansion of evolution matrix and Lyapunov exponents
with respect to parameters.
Chapter
52. Classification of a family of Lorenz
knots with reducible symbolic dynamics.
Chapter
53. An algorithm to
determine the exact solution to polynomial semi-definite problems:
application to structural optimization.
Chapter
54. Semi-analytical
approaches for solving Duffing oscillator with multi-frequency excitation.-
Chapter
55. Bifurcation and triggers of coupled singularities in the dynamics
of generalized rolling pendulums.
Chapter
56. Parametric Instability and
Bifurcation of Thin-Walled Axially Compressed Long FRP Columns.
Chapter
57.
Analysis of nonlinear behaviors in AMB-rotor system.
Chapter
58.
Characterizing fundamental, superharmonic and subharmonic resonances using
phase resonance nonlinear modes.
Chapter
59. Generalized cell mappings with
subdivision and interpolation (GCM-SI) for global attractors in high
dimensions of nonlinear systems.
Chapter
60. Birth of the Neimark-Sacker
bifurcation for the passive compass-gait walker.
Chapter
61. A degenerate
double-zero bifurcation in a normal form of Lorenzs equations..
Chapter
62.
Numerical studies on the nonlinear dynamics of the Ziegler's column under
pulsating follower force.
Chapter
63. Stability boundaries for generic
two-step Hill's equations.
Chapter
64. Bifurcation studies of a nonlinear
mechanical system subjected to multi-frequency-quasi-periodic excitations.-
Chapter
65. A Precise Balancing Technology of the Rotor System Based on Multi
Modal Analysis.
Chapter
66. Post-resonance backward whirl analysis of
accelerating cracked overhung rotor system using fatigue crack model.-
Chapter
67. Stochastic resonances and antiresonances in rotating mechanisms.-
Chapter
68. Internal resonances of a rotating pre-deformed blade under a
harmonic gas pressure.
Chapter
69. Investigation of quasi-periodic solutions
in nonlinear oscillators featuring internal resonance.
Chapter
70.
Theoretical investigations on an internally resonant piezoelectric energy
harvester.
Chapter
71. On learning the impact dynamics of a physical beam
structure coupled to a multi-stable continuum.
Chapter
72. Vibration
analysis of a multi-DOF impact oscillator with multiple motion constraints.-
Chapter
73. Design of NARX model for dry friction system of the three-piece
bogie.
Chapter
74. A generalized solution scheme using an implicit time
integrator for piecewise linear and nonlinear systems.
Chapter
75. Dynamics
of discontinuous nonlinear Oscillators with Compliant Contacts subjected to
Combined Harmonic and Random Loadings.
Chapter
76. Response analysis of
coupled non-smooth nonlinear aeroelastic system subjected to stochastic input
fluctuations.
Chapter
77. Stability analysis for a class of non-stationary
impulsive switched systems.
Chapter
78. State-dependent switching law for
stabilization to a switched time-delay system with two unstable subsystems.
Walter Lacarbonara
Prof. Lacarbonara received his B.S. from Sapienza University of Rome, M.S. (Engineering Mechanics) from Virginia Tech (Blacksburg, VA, USA), and Ph.D. (Structural Engineering) from Sapienza University of Rome. He is currently a Professor at Sapienza University where he has been since 1998. His research interests cover nonlinear structural dynamics; asymptotic techniques; experimental nonlinear dynamics; nonlinear control of vibrations; multiscale modeling and dynamics of nanostructured and nonlinear materials.
Bala Balachandran
Prof. Balachandran received his B. Tech (Naval Architecture) from the Indian Institute of Technology, Madras, India, M.S. (Aerospace Engineering) from Virginia Tech, Blacksburg, VA and Ph.D. (Engineering Mechanics) from Virginia Tech. Currently, he is a Professor of Mechanical Engineering at the University of Maryland, where has been since 1993.
Michael Leamy
Prof. Leamy received his B.S. from Clarkson University, his M.S. and Ph.D. from the University of Michigan, respectively. He is currently a Full Professor at Georgia Tech where he moved in 2007 as an Assistant Professor. His research interests are in emerging and multidisciplinary areas of engineering science, with an emphasis on simulating nonlinear dynamical behaviors in structures and materials.
Jun Ma
Jun Ma received his Ph.D. from Huazhong Normal University for Theoretical Physics, China, in 2010. He is Professor of Physics at Lanzhou University of Technology, Department of Physics.
J. A Tenreiro Machado
J. A. Tenreiro Machado graduated with Licenciatura (1980), PhD. (1989) and Habilitation (1995), in Electrical and Computer Engineering at the University of Porto. Since 1998 he works at the Institute of Engineering, Polytechnic Institute of Porto, Dept. of Electrical Engineering where he is Principal Coordinator Professor.
Gabor Stepan
Gábor Stépán is a Professor of Applied Mechanics at Budapest University of Technology and Economics. He is member of the Hungarian Academy of Sciences and the Academy of Europe. He is the recipient of an ERC Advanced Grant. His research interests include delayed dynamical systems, stability theory, and nonlinear vibrations.
