An exact solution to the quadratic dam** strong nonlinearity Duffing oscillator

AH Salas, SA El-Tantawy… - … Problems in Engineering, 2021 - Wiley Online Library
The nonlinear equations of motion such as the Duffing oscillator equation and its family are
seldom addressed in intermediate instruction in classical dynamics; this one is problematic …

On the analytical solutions of the forced dam** duffing equation in the form of weierstrass elliptic function and its applications

SA El-Tantawy, AH Salas… - … Problems in Engineering, 2021 - Wiley Online Library
In this study, a novel analytical solution to the integrable undam** Duffing equation with
constant forced term is obtained. Also, a new approximate analytical (semianalytical) …

[HTML][HTML] Mathematical modelling, numerical and experimental analysis of one-degree-of-freedom oscillator with Duffing-type stiffness

K Witkowski, G Kudra, G Wasilewski… - International Journal of …, 2022 - Elsevier
The aim of the work is to develop and test simple mathematical models suitable for fast and
realistic simulations of bifurcation dynamics of systems with a double potential well …

Approximation of elliptic functions by means of trigonometric functions with applications

AH Salas, LJH Martinez… - … Problems in Engineering, 2021 - Wiley Online Library
In this work, we give approximate expressions for Jacobian and elliptic Weierstrass functions
and their inverses by means of the elementary trigonometric functions, sine and cosine …