Approximate analysis of two-mass-spring systems and buckling of a column

DOI10.1016/j.camwa.2010.12.059zbMath1217.74050OpenAlexW2091930552MaRDI QIDQ552268

Jianyong Qiao, Sumit K. Garg

Publication date: 21 July 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.12.059

zbMATH Keywords

nonlinear oscillationMax-min approach (MMA)single degree of freedom (SDOF)two degrees of freedom (TDOF)

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation and buckling (74G60) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Motion of a rigid body in contact with a solid surface (70E18)

Related Items (6)

Analytical approximations for a conservative nonlinear singular oscillator in plasma physics ⋮ Unnamed Item ⋮ Exponential Bernstein functions: an effective tool for the solution of heat transfer of a micropolar fluid through a porous medium with radiation ⋮ Removal of noise oscillation term appearing in the nonlinear equation solution ⋮ An auxiliary parameter method using Adomian polynomials and Laplace transformation for nonlinear differential equations ⋮ The spreading residue harmonic balance method for strongly nonlinear vibrations of a restrained cantilever beam

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Differential transform method for mathematical modeling of jamming transition problem in traffic congestion flow
• Analysis of highly nonlinear oscillation systems using He's max-min method and comparison with homotopy analysis and energy balance methods
• Application of a modified He's homotopy perturbation method to obtain higher-order approximations of an \(x^{1/3}\) force nonlinear oscillator
• Periodic-impact motions and bifurcations of a dual component system
• Analysis of the nonlinear vibration of a two-mass-spring system with linear and nonlinear stiffness
• Exact solutions of some coupled nonlinear partial differential equations using the homotopy perturbation method
• Application of He Chengtian's interpolation to Bethe equation
• Application of homotopy perturbation method and variational iteration method to nonlinear oscillator differential equations
• Periodic solution for strongly nonlinear vibration systems by He's energy balance method
• Higher-order solutions of coupled systems using the parameter expansion method
• Homotopy perturbation method for bifurcation of nonlinear problems
• Analytical solution to nonlinear oscillation system of the motion of a rigid rod rocking back using max-min approach
• Periodic-impact motions and bifurcations in dynamics of a plastic impact oscillator with a frictional slider
• Periodic motions of arbitrarily long periods in non-linear spring-mass systems
• On the dynamics of oscillators with bi-linear damping and stiffness
• Applications of a generalized Galerkin's method to non-linear oscillations of two-degree-of-freedom systems
• Combination tones in single mode motion of a class of non-linear systems with two degrees of freedom
• Orbital steady motions of a system of two bodies with an elastic connection
• He's ENERGY BALANCE AND He's VARIATIONAL METHODS FOR NONLINEAR OSCILLATIONS IN ENGINEERING
• Application of He's energy balance method to Duffing-harmonic oscillators

This page was built for publication: Approximate analysis of two-mass-spring systems and buckling of a column