Nonlinear dynamics of a spur gear pair with time-varying stiffness and backlash based on incremental harmonic balance method

From MaRDI portal
Publication:986450

DOI10.1016/j.ijmecsci.2006.06.003zbMath1192.74148OpenAlexW2108726035MaRDI QIDQ986450

Xiandong Liu, Yong-Jun Shen, Shao-Pu Yang

Publication date: 11 August 2010

Published in: International Journal of Mechanical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijmecsci.2006.06.003




Related Items (25)

When artificial parameter evolution gets real: particle filtering for time-varying parameter estimation in deterministic dynamical systemsDynamic Characteristics Analysis of Gear System with Coupled Thermal-Elasto-Hydrodynamic-Nonlinear EffectHarmonic balance method implementation of nonlinear dynamic characteristics for compound planetary gear setsHigher-order approximate steady-state solutions for strongly nonlinear systems by the improved incremental harmonic balance methodBifurcation and chaos analysis of spur gear pair with and without nonlinear suspensionTime‐varying piecewise nonlinear dynamic model of the vibrating machinery with elliptical trajectory consider the interactions between its frame and particlesAn original numerical calculation method for impacting contact model of spur gear under lightly loaded conditionAn incremental harmonic balance-based approach for harmonic analysis of closed-loop systems with Prandtl-Ishlinskii operatorFourier series-based approximation of time-varying parameters in ordinary differential equationsDynamical analysis of strongly nonlinear fractional-order Mathieu-Duffing equationAn analytical method for Mathieu oscillator based on method of variation of parameterBifurcation Analysis of Gear Pair with Continuous and Intermittent Mesh Stiffness Using Enhanced Compliance MethodNonlinear energy harvester with coupled Duffing oscillatorsNonsmooth vibration characteristic of gear pair system with periodic stiffness and backlashNonlinear Dynamics of a Multistage Gear Transmission System with Multi-ClearanceAttitude stabilization of a rigid body in conditions of decreasing dissipationA modified incremental harmonic balance method for 2-DOF airfoil aeroelastic systems with nonsmooth structural nonlinearitiesBifurcation and chaos analysis for multi-freedom gear-bearing system with time-varying stiffnessDynamic analysis of gear system under fractional-order PID control with the feedback of meshing error change rateCoupled torsion-bending dynamic analysis of gear-rotor-bearing system with eccentricity fluctuationSwing equation in power systems: Approximate analytical solution and bifurcation curve estimateNonlinear dynamics of a two-stage gear system with mesh stiffness fluctuation, bearing flexibility and backlashOn the asymptotic stability of nonlinear time-varying switched systemsComputation of periodic orbits for piecewise linear oscillator by harmonic balance methodsDesign and experiment of micro-vibration isolation system for optical satellite




This page was built for publication: Nonlinear dynamics of a spur gear pair with time-varying stiffness and backlash based on incremental harmonic balance method