A critical review of nonlinear damping identification in structural dynamics: Methods, applications, and challenges

T Al-Hababi, M Cao, B Saleh, NF Alkayem, H Xu - Sensors, 2020 - mdpi.com
In recent decades, nonlinear damping identification (NDI) in structural dynamics has
attracted wide research interests and intensive studies. Different NDI strategies, from …

An efficient dissipation–preserving Legendre–Galerkin spectral method for the Higgs boson equation in the de Sitter spacetime universe

MA Zaky, AS Hendy - Applied Numerical Mathematics, 2021 - Elsevier
Since the emergence of numerical methods in mathematical modeling, fundamental
properties such as convergence, efficiency, computational accuracy, and stability have been …

Structure-preserving algorithms for the two-dimensional fractional Klein-Gordon-Schrödinger equation

Y Fu, W Cai, Y Wang - Applied Numerical Mathematics, 2020 - Elsevier
This paper aims to construct structure-preserving numerical schemes for the two-
dimensional space fractional Klein-Gordon-Schrödinger equation, which are based on the …

Fast dissipation-preserving difference scheme for nonlinear generalized wave equations with the integral fractional Laplacian

D Hu, W Cai, Y Fu, Y Wang - Communications in Nonlinear Science and …, 2021 - Elsevier
In this paper, we construct a dissipation-preserving difference scheme for two-dimensional
nonlinear generalized wave equations with the integral fractional Laplacian. We discuss the …

High-order structure-preserving algorithms for the multi-dimensional fractional nonlinear Schrödinger equation based on the SAV approach

Y Fu, D Hu, Y Wang - Mathematics and Computers in Simulation, 2021 - Elsevier
In the paper, we aim to develop a class of high-order structure-preserving algorithms, which
are built upon the idea of the newly introduced scalar auxiliary variable approach, for the …

Efficient dissipation-preserving approaches for the damped nonlinear Schrödinger equation

J Cai, J Chen - Applied Numerical Mathematics, 2023 - Elsevier
In this paper, we construct two dissipation-preserving prediction-correction schemes for the
damped nonlinear Schrödinger equation. The temporal second-order scheme is implicit, but …

An efficient energy-preserving method for the two-dimensional fractional Schrödinger equation

Y Fu, Z Xu, W Cai, Y Wang - Applied Numerical Mathematics, 2021 - Elsevier
In this paper, we study the Hamiltonian structure and develop a novel energy-preserving
scheme for the two-dimensional fractional nonlinear Schrödinger equation. First, we present …

[HTML][HTML] Two novel classes of linear high-order structure-preserving schemes for the generalized nonlinear Schrödinger equation

X Li, Y Gong, L Zhang - Applied Mathematics Letters, 2020 - Elsevier
In this letter, we present two novel classes of linear high-order mass-preserving schemes for
the generalized nonlinear Schrödinger equation. The original model is first equivalently …

Arbitrary high-order exponential integrators conservative schemes for the nonlinear Gross-Pitaevskii equation

Y Fu, D Hu, G Zhang - Computers & Mathematics with Applications, 2022 - Elsevier
In this paper, we propose a family of high-order conservative schemes based on the
exponential integrators technique and the symplectic Runge-Kutta method for solving the …

Experimental investigation of the static and dynamic damping behaviour of antifriction bearings

AK Ansari, P Kumar - Nondestructive Testing and Evaluation, 2024 - Taylor & Francis
This paper experimentally investigates the vibration-damping behaviour of four different
antifriction bearings. Both static and dynamic analyses have been employed to study the …