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Open AccessLongitudinal–transversal internal resonances in Timoshenko beams with an axial elastic boundary condition
The internal resonances between the longitudinal and transversal oscillations of a forced Timoshenko beam with an axial end spring are studied in depth. In the linear regime, the loci of occurrence of 1 : ir, ...
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An impact model of a ball bouncing on a flexible beam
In this work we investigate a model for the description of the impact of a ball with a flexible beam. The coupling of the kinematic parameters of the ball (the velocity components) with the vibration modes of ...
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Numerical model upgrading of a historical masonry building damaged during the 2016 Italian earthquakes: the case study of the Podestà palace in Montelupone (Italy)
In October 2016, two major earthquakes occurred in Marche region in the Centre of Italy, causing widespread damage. The epicentre of the second one struck Norcia, Visso and Accumoli and a lot of damages to cul...
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Cross-checking asymptotics and numerics in the hardening/softening behaviour of Timoshenko beams with axial end spring and variable slenderness
Two approximate solutions for the nonlinear free oscillations of a planar Timoshenko beam are compared to each other. The beam has an axial spring that permits to consider different boundary conditions, from a...
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Article
A comprehensive analysis of hardening/softening behaviour of shearable planar beams with whatever axial boundary constraint
The free nonlinear oscillations of a planar elastic beam are investigated based on a comprehensive asymptotic treatment of the exact equations of motion. With the aim of investigating the behaviour also for lo...
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Nonlinear vibrations of non-uniform beams by the MTS asymptotic expansion method
The frequency response curves of a non-uniform beam undergoing nonlinear oscillations are determined analytically by the multiple time scale method, which provides approximate, but accurate results. The axial ...
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Article
On the synchronization of chains of nonlinear pendula connected by linear springs
In this work the theoretical model of multidimensional physical systems, representable as chains of nonlinearly coupled chaotic pendula subjected to harmonic excitations, is formulated and its nonlinear dynami...
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Chapter
Controlling Chaos: The OGY Method, Its Use in Mechanics, and an Alternative Unified Framework for Control of Non-regular Dynamics
In this chapter we review the development of the control of chaos theory subsequent to the seminal paper by Ott, Grebogi and Yorke in 1990. After summarizing the main characteristics of the OGY method, we anal...
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Evaluation of the Electrical Properties, Piezoresistivity and Noise of poly-SiGe for MEMS-above-CMOS applications
In this work, the electrical properties of heavily doped poly-SiGe deposited at temperatures compatible with MEMS integration on top of standard CMOS are reported. The properties studied are resistivity, tempe...
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Chapter and Conference Paper
Nonlinear Normal Modes of Homoclinic Orbits and their Use for Dimension Reduction in Chaos Control
A method for controlling nonlinear dynamics and chaos is applied to the infinite dimensional dynamics of a buckled beam subjected to a generic spacevarying time-periodic transversal excitation. The homoclinic ...
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Chapter and Conference Paper
Dynamical Integrity of Nonlinear Mechanical Oscillators
This work overviews and continues recent investigations of the authors [1, 2] on the dynamical integrity of nonlinear mechanical systems and other oscillators. In fact, it has been realized that attractors must b...
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Article
Simple analytical models for the J-lay problem
This work deals with deep and ultra-deep waters installation by the so-called “J-Lay” method, which consists in laying submarine pipelines with a straight stinger at near-vertical angles. A hierarchy of simple...
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Article
Poincaré maps of impulsed oscillators and two-dimensional dynamics
The Poincaré map of one-dimensional linear oscillators subject to periodic, non-linear and time-delayed impulses is shown to reduce to a family of plane maps with possible non-uniqueness of the inverse. By res...
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Homoclinic and heteroclinic solutions for a class of two dimensional Hamiltonian systems
The problem of the existence of homoclinic and heteroclinic solutions for a class of two dimensional Hamiltonian systems, calledcanyon-like, is discussed. Some basic properties, that are helpful in the qualitativ...
