Improved harmonic balance method for analyzing asymmetric restoring force functions in nonlinear vibration of mechanical systems
M Mohammadian, GM Ismail - Physica Scripta, 2024 - iopscience.iop.org
The non-linear differential equation governing some mechanical systems, such as the non-
linear vibrations of FG beams resting on a nonlinear foundation, behaves similarly to the …
linear vibrations of FG beams resting on a nonlinear foundation, behaves similarly to the …
[HTML][HTML] Proficient Trigonometrical-fitted Two-derivative Multistep Collocation Methods in Predictor-Corrector Approach: Application to Perturbed Kepler Problem.
An efficient trigonometrical-fitted two-derivative multistep collocation (TF-TDMC) method
using Legendre polynomials up to order five as the basis functions, has been developed for …
using Legendre polynomials up to order five as the basis functions, has been developed for …
Autonomous second-order ODEs: a geometric approach
AJ Pan-Collantes, JA Alvarez-Garcia - arXiv preprint arXiv:2410.07082, 2024 - arxiv.org
Given an autonomous second-order ordinary differential equation (ODE), we define a
Riemannian metric on an open subset of the first-order jet bundle. A relationship is …
Riemannian metric on an open subset of the first-order jet bundle. A relationship is …
[PDF][PDF] On the Homotopy-First Integral method for non-conservative oscillators
A García - EQUATIONS, 2024 - wseas.com
This paper presents a ready-to-use formula for determining the number and approximate
location of periodic orbits in second-order Lienard systems. As a result of the exact closed …
location of periodic orbits in second-order Lienard systems. As a result of the exact closed …