Advances in Nonlinear Dynamics

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 Lorenz’s 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.