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Weakly Nonlinear Boundary-Value Problems for Operator Equations in Banach Spaces
We consider weakly nonlinear boundary-value problems for operator equations with generalized invertible operator in the linear part of the...
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Research on hunting stability and bifurcation characteristics of nonlinear stochastic wheelset system
A stochastic wheelset model with a nonlinear wheel-rail contact relationship is established to investigate the stochastic stability and stochastic...
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A review of nonlinear piezoelectric energy harvesting interface circuits in discrete components
Piezoelectric energy harvesting is considered as an ideal power resource for low-power consumption gadgets in vibrational environments. The energy...
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Integration of a Nonlinear Hirota Type Equation with Finite Density in the Class of Periodic Functions
AbstractIn this paper, the inverse spectral problem method is used to integrate a nonlinear Hirota-type equation with a finite density in the class...
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The Effect of Dam** on the Energy Transfer in the Spherical Pendulum with Fractional Dam** in a Pivot Point
Nonlinear vibrations of a system with three degrees of freedom with a spherical pendulum are investigated. The system contains an oscillator and a...
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Dynamics properties for a viscoelastic Kirchhoff-type equation with nonlinear boundary dam** and source terms
This work is devoted to studying a viscoelastic Kirchhoff-type equation with nonlinear boundary dam**-source interactions in a bounded domain....
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ALE Space-Time Discontinuous Galerkin Method for the Interaction of Compressible Flow with Linear and Nonlinear Dynamic Elasticity and Applications to Vocal Fold Vibrations
The paper deals with the discontinuous Galerkin method (DGM) for the solution of compressible Navier-Stokes equations in the ALE form in...
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Nonlinear thickness-shear vibration of an infinite piezoelectric plate with flexoelectricity based on the method of multiple scales
This paper presents a nonlinear thickness-shear vibration model for one-dimensional infinite piezoelectric plate with flexoelectricity and geometric...
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The X-structure/mechanism approach to beneficial nonlinear design in engineering
Nonlinearity can take an important and critical role in engineering systems, and thus cannot be simply ignored in structural design, dynamic response...
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Dynamics of Flexible Elements of a Drive under the Action of Impulsive Perturbations
For flexible elements of drives characterized by a constant speed of longitudinal motion, we propose a method for the analytic investigation of...
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Enhanced vibration suppression and energy harvesting in fluid-conveying pipes
A novel vibration absorber is designed to suppress vibrations in fluid-conveying pipes subject to varying fluid speeds. The proposed absorber...
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Nonlinear dynamics of a circular curved cantilevered pipe conveying pulsating fluid based on the geometrically exact model
Due to the novel applications of flexible pipes conveying fluid in the field of soft robotics and biomedicine, the investigations on the mechanical...
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Recent advancement of flow-induced piezoelectric vibration energy harvesting techniques: principles, structures, and nonlinear designs
Energy harvesting induced from flowing fluids (e.g., air and water flows) is a well-known process, which can be regarded as a sustainable and...
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Existence and general decay of solution for nonlinear viscoelastic two-dimensional beam with a nonlinear delay
We investigate the longitudinal and transversal vibrations of the viscoelastic beam with nonlinear tension and nonlinear delay term under the general...
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Least-Squares Method in the Theory of Nonlinear Boundary-Value Problems Unsolved with Respect to the Derivative
We establish constructive necessary and sufficient conditions of solvability and propose a scheme for the construction of solutions to a nonlinear...
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Existence of Bounded Soliton Solutions in the Problem of Longitudinal Vibrations of an Infinite Elastic Rod in a Field with a Strongly Nonlinear Potential
AbstractThe existence of a family of bounded soliton solutions for a finite-difference wave equation with a quadratic potential is established. The...
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An energy-based deep splitting method for the nonlinear filtering problem
The purpose of this paper is to explore the use of deep learning for the solution of the nonlinear filtering problem. This is achieved by solving the...
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Nonlinear Bending and Buckling of Oblate Ellipsoidal Shells with Variable Thickness Under External Pressure and Temperature Change
AbstractThe effect of low and high temperatures on the nonlinear axisymmetric strain in oblate semi-ellipsoidal shells of variable thickness with a...
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A numerical technique based on Legendre wavelet for linear and nonlinear hyperbolic telegraph equation
This study is devoted to the numerical investigation of linear and nonlinear hyperbolic telegraph equation. We have proposed a wavelet collocation...
