Shrinkage stress and cuspal deflection in MOD restorations: Analytical solutions and design guidelines

WA Aregawi, ASL Fok - Dental Materials, 2021 - Elsevier
Objective This paper aimed to derive analytical solutions for the shrinkage stress and cuspal
deflection in model Class-II mesial-occlusal-distal (MOD) resin-composite restorations to …

Nonlinear oscillations analysis of the elevator cable in a drum drive elevator system

H Askari, D Younesian, Z Saadatnia - Advances in Applied …, 2015 - cambridge.org
This paper aims to investigate nonlinear oscillations of an elevator cable in a drum drive.
The governing equation of motion of the objective system is developed by virtue of …

An Approximate Solution of the Bending of Beams on a Nonlinear Elastic Foundation with the Galerkin Method

J Jiang, C Lian, B Meng, H Jing, X Fang… - Journal of Applied and …, 2024 - jacm.scu.ac.ir
The analysis of beam deformation on elastic foundation is very important in engineering
applications, and studies of beams on linear elastic foundations are abundant and accurate …

Homotopy analysis of a forced nonlinear beam model with quadratic and cubic nonlinearities

S Shahlaei-Far, A Nabarrete… - Journal of Theoretical …, 2016 - iwww.ptmts.org.pl
This study investigates forced nonlinear vibrations of a simply supported Euler-Bernoulli
beam on a nonlinear elastic foundation with quadratic and cubic nonlinearities. Applying the …

Analytical approximation of nonlinear vibration of Euler-Bernoulli beams

SS Jafari, MM Rashidi, S Johnson - Latin American Journal of Solids …, 2016 - SciELO Brasil
In this paper, the Homotopy Analysis Method (HAM) with two auxiliary parameters and
Differential Transform Method (DTM) are employed to solve the geometric nonlinear …

A Bernstein Broyden–Fletcher–Goldfarb–Shanno collocation method to solve non-linear beam models

D Garijo - International Journal of Non-Linear Mechanics, 2021 - Elsevier
A collocation technique based on the use of Bernstein polynomials to approximate the field
variable is assessed in Boundary Value Problems (BVPs) of beams with governing non …

НЕЙРОМЕРЕЖЕВІ МЕТОДИ РОЗВ'ЯЗАННЯ ЗАДАЧ ПРУЖНОСТІ

АО ЯРОШ, ОВ КУДІН - Вісник Херсонського …, 2024 - journals.kntu.kherson.ua
Анотація Значущість розвитку наближених методів у вирішенні диференціальних
рівнянь визначається їх широким застосуванням у ключових галузях науки та техніки …

[PDF][PDF] An Approximate Solution of the Bending of Elastic Beams on a Nonlinear Elastic Foundation with the Galerkin Method

J Jiang, C Lian, B Meng, H Jing, X Fang, J Wang - researchgate.net
The analysis of the deformation of beams on elastic foundations is very important in
engineering applications, and studies of beams on linear elastic foundations are abundant …

Analytical Approximation of Forced Oscillations of Nonlinear Helmholtz Resonator by Homotopy Analysis Method

E Gourdon, AT Savadkoohi, CH Lamarque - Advances in Nonlinear …, 2021 - Springer
This study investigates nonlinear amplitude-frequency response of an acoustic nonlinear
Helmholtz Resonator (HR) by taking into account nonlinear restoring and damping forces …