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A Nonlinear Analysis of an Aeroelastic Three Degrees of Freedom Model
The aeroelastic typical section, also known as the three degrees of freedom (3DoF) aeroelastic model, is a common way to start studying aeroelastic... -
Nonlinear Vibration Analysis of a Twin-Spool Rotor Through a Nonlinear Galerkin Reduced Model
PurposeThis work investigates the nonlinear vibration and dynamical behavior of a twin-spool rotor assembly supported by ball-bearings and squeezed...
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Fast data-driven model reduction for nonlinear dynamical systems
We present a fast method for nonlinear data-driven model reduction of dynamical systems onto their slowest nonresonant spectral submanifolds (SSMs)....
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Parameter estimation and modeling of nonlinear dynamical systems based on Runge–Kutta physics-informed neural network
To identify the nonlinear behavior of dynamical systems subjected to external excitations such as earthquakes, explosions, and impacts, a novel...
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Dynamical analysis of a stochastically excited nonlinear beam with viscoelastic constitution
In the present article, the dynamics of a nonlinear beam with viscoelastic constitutions under stochastic excitation are studied. The viscoelastic...
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Nonlinear dynamics of a rotor–stator system with contacts
Rotating system dynamics are usually related to the contact between rotor and stator, which induces undesirable behaviors that may both compromise...
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Nonlinear modal analysis of multi-walled nanotube oscillations using nonlocal anisotropic elastic shell model
System of nonlinear partial differential equations, which describes the multi-walled carbon nanotube nonlinear oscillations, is derived. The...
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Nonlinear Dynamics Analysis for a Model-Reduced Rotor System with Nonlinear Galerkin Method
Rotor-bearing systems are important components of aircraft engines of which vibration response must be analyzed under normal and disturbed... -
Synchronous impact phenomenon of a high-dimension complex nonlinear dual-rotor system subjected to multi-frequency excitations
The “synchronous impact” is a phenomenon that increases the dynamic load of the inter-shaft bearing, when the frequency of the aerodynamic excitation...
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Reduced-order model-inspired system identification of geometrically nonlinear structures: application to a nonlinear cantilever-type structure
In the field of structural dynamics, system identification usually refers to building mathematical models from an experimentally obtained data set....
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Higher-Order Invariant Manifold Parametrisation of Geometrically Nonlinear Structures Modelled with Large Finite Element Models
In this contribution we present a method to directly compute asymptotic expansion of invariant manifolds of large finite element models from physical... -
Proper generalized decomposition-based iterative enrichment process combined with shooting method for steady-state forced response analysis of nonlinear dynamical systems
This paper presents a novel framework combining proper generalized decomposition (PGD) with the shooting method to determine the steady-state...
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Quaternion-based finite-element computation of nonlinear modes and frequency responses of geometrically exact beam structures in three dimensions
In this paper, a novel method for computing the nonlinear dynamics of highly flexible slender structures in three dimensions (3D) is proposed. It is...
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Nonlinear Normal Modes and Reduced Order Models
Nonlinear normal modes (NNMs) have been used in the last decades as an additional tool for the analysis of multi degree of freedom (mdof) dynamical... -
Nonlinear dynamics of two dimensional rotor-active magnetic bearing system with generalized-pole legs: stability state diagram and control strategy
The static stability and dynamical behavior of active magnetic bearings made of n arbitrary pairs of electromagnet coils (PEC) are investigated....
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Machine learning-based state maps for complex dynamical systems: applications to friction-excited brake system vibrations
In this work, a purely data-driven approach to map** out the state of a dynamical system over a set of chosen parameters is presented and...
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POD—ANN Reduced Order Macromodel of Nonlinear Autonomous Dissipative System Using Machine Learning
Real-world problems are addressed effectively and safely using simulation modeling. Simulation modeling gives highly appreciable solutions by... -
Free Vibration of Multiple Degrees of Freedom System
After getting a taste of two degrees of freedom system, we now proceed to a more general treatment of the problem. In the previous chapter, it is... -
Sliding Mode Control on Finite-Time Synchronization of Nonlinear Hyper-mechanical Fractional Systems
This study delves into finite-time projective synchronization within a thermal mechanical fractional-order system in the presence of external...
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New physical insights in dynamical stabilization: introducing Periodically Oscillating-Diverging Systems (PODS)
Dynamical stabilization is the ability of a statically diverging stationary state to gain stability by periodically modulating its physical...