A time domain collocation method for studying the aeroelasticity of a two dimensional airfoil with a structural nonlinearity

DOI10.1016/j.jcp.2014.03.063zbMath1349.76567OpenAlexW2171386585MaRDI QIDQ349166

Honghua Dai, Xiaokui Yue, Jianping Yuan, Satya N. Atluri

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2014.03.063

zbMATH Keywords

cubic nonlinearityharmonic balance methodaliasingaeroelastic airfoilparameter marchingtime domain collocation method

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) General aerodynamics and subsonic flows (76G25) Spectral methods applied to problems in fluid mechanics (76M22) Spectral and related methods applied to problems in solid mechanics (74S25) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (8)

A comparison of classical Runge-Kutta and Henon's methods for capturing chaos and chaotic transients in an aeroelastic system with freeplay nonlinearity ⋮ A novel adaptive harmonic balance method with an asymptotic harmonic selection ⋮ Collocation‐based harmonic balance framework for highly accurate periodic solution of nonlinear dynamical system ⋮ Bifurcation \& chaos in nonlinear structural dynamics: novel \& highly efficient optimal-feedback accelerated Picard iteration algorithms ⋮ A simple time domain collocation method to precisely search for the periodic orbits of satellite relative motion ⋮ Analysis of internal resonance in a two-degree-of-freedom nonlinear dynamical system ⋮ Non-linear forced vibration analysis of nanobeams subjected to moving concentrated load resting on a viscoelastic foundation considering thermal and surface effects ⋮ Analysis of nonlinear vibrations and dynamic responses in a trapezoidal cantilever plate using the Rayleigh-Ritz approach combined with the affine transformation

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