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Description
This first of three volumes from the inaugural NODYCON, held at the University of Rome, in February of 2019, presents papers devoted to Nonlinear Dynamics of Structures, Systems and Devices. The collection features both well-established streams of research as well as novel areas and emerging fields of investigation. Topics in Volume I include multi-scale dynamics: coexistence of multiple time/space scales, large system dynamics; dynamics of structures/industrial machines/equipment/facilities (e.g., cable transportation systems, suspension bridges, cranes, vehicles); nonlinear interactions: parametric vibrations with single/multi-frequency excitations, multiple external and autoparametric resonances in multi-dof systems; nonlinear system identification: parametric/nonparametric identification, data-driven identification; experimental dynamics: benchmark experiments, experimental methods, instrumentation techniques, measurements in harsh environments, experimental validation of nonlinear models; wave propagation, solitons, kinks, breathers; solution methods for pdes: Lie groups, Hirota’s method, perturbation methods, etc; nonlinear waves in media (granular materials, porous materials, materials with memory); composite structures: multi-layer, functionally graded, thermal loading; fluid/structure interaction; nonsmooth and retarded dynamics: systems with impacts, free play, stick-slip, friction hysteresis; nonlinear systems with time and/or space delays; stability of delay differential equations, differential-algebraic equations; space/time reduced-order modeling: enhanced discretization methods, center manifold reduction, nonlinear normal modes, normal forms; fractional-order systems; computational techniques: efficient algorithms, use of symbolic manipulators, integration of symbolic manipulation and numerical methods, use of parallel processors; and multibody dynamics: rigid and flexible multibody system dynamics, impact and contact mechanics, tire modeling, railroad vehicle dynamics, computational multibody dynamics.
Table of Contents
Part A: Methods for nonlinear dynamics.- Nonlinear dynamics of multibody systems using an augmented Lagrangian formulation.- Stability boundary approximation of periodic dynamics.- e2-order normal form analysis for a two-degree-of-freedom nonlinear coupled oscillator.- Vibrational mechanics of systems with amplitude and phase modulation of excitation.- Singular perturbation techniques and asymptotic expansions for some complex enzyme reactions.- A novel two-stage ellipsoid filtering based system modeling algorithm for a Hammerstein nonlinear model with an unknown noise term.- A new method for the frequency response curve and its unstable region of a strongly nonlinear oscillator.- Matrix solitons solutions of the modified Korteweg-de Vries equation.- Part B: Bifurcations and nonsmooth systems.- Bifurcations of limit directions at codimension-2 discontinuities of vector fields.- Boundary layer dynamics of multibody systems involving impact and friction.- Creation of Neimark-Sacker bifurcation for a three-degree-of-freedom vibro-impact system with clearances.- Analogue models of rocking suitcases and snaking trailers.- A theoretical model for vibro-impact dynamics of spur gears with tooth flanks wear.- Stability of coupled and damped Mathieu equations utilizing symplectic properties.- Asymmetry in the basin stability of oscillation death states under variation of environment-oscillator links.- The occurrence of zero-Hopf bifurcation in a generalized Sprott A system.-



