Primary resonance of multiple degree-of-freedom dynamic systems with strong non-linearity using the homotopy analysis method
type: Item
instance of: scholarly article
title: Primary resonance of multiple degree-of-freedom dynamic systems with strong non-linearity using the homotopy analysis method
zbMATH Open document ID: 1297.70014
author: Peixin Yuan
author: Yongqiang Li
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 2010-11-23T00:00:00Z
Mathematics Subject Classification ID: 70K30
zbMATH DE Number: 5818485
describes a project that uses: BVPh
MaRDI profile type: Publication
full work available at URL: s10483-010-1362-6
OpenAlex ID: W1977921826
cites work: On the Construction of Poincaré–Lindstedt Solutions: The Nonlinear Oscillator Equation
cites work: Q5682682
cites work: A modified Lindstedt-Poincaré method for certain strongly non-linear oscillators
cites work: A Study of Dynamic Instability of Plates by an Extended Incremental Harmonic Balance Method
cites work: A new approach to the heat equation - an application of the decomposition method
cites work: A new branch of solutions of boundary-layer flows over an impermeable stretched plate
cites work: An explicit, totally analytic approximate solution for Blasius' viscous flow problems
cites work: Series Solutions of Unsteady Boundary‐Layer Flows over a Stretching Flat Plate
cites work: Homotopy analysis approach to Duffing-harmonic oscillator
cites work: An approximate solution technique not depending on small parameters: A special example
cites work: A kind of approximation solution technique which does not depend upon small parameters. II: An application in fluid mechanics
cites work: Homotopy analysis method: A new analytic method for nonlinear problems.
cites work: Sub-harmonic resonances of nonlinear oscillations with parametric excitation by means of the homotopy analysis method
cites work: Homotopy analysis method for quadratic Riccati differential equation
cites work: Homotopy solution of the inverse generalized eigenvalue problems in structural dynamics
cites work: A MODIFIED LINDSTEDT–POINCARE METHOD FOR A STRONGLY NON-LINEAR TWO DEGREE-OF-FREEDOM SYSTEM
DOI: 10.1007/S10483-010-1362-6
description: scientific article; zbMATH DE number 5818485