The spreading residue harmonic balance method for strongly nonlinear vibrations of a restrained cantilever beam

DOI10.1155/2017/5214616zbMath1453.74039OpenAlexW2606669972WikidataQ59142446 ScholiaQ59142446MaRDI QIDQ1798428

Yanyan Li

Publication date: 23 October 2018

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/5214616

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45)

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Cites Work

• Unnamed Item
• Residue harmonic balance solution procedure to nonlinear delay differential systems
• Differential transform method for mathematical modeling of jamming transition problem in traffic congestion flow
• Approximate analysis of two-mass-spring systems and buckling of a column
• Study on asymptotic analytical solutions using HAM for strongly nonlinear vibrations of a restrained cantilever beam with an intermediate lumped mass
• On the selection of auxiliary functions, operators, and convergence control parameters in the application of the homotopy analysis method to nonlinear differential equations: a general approach
• An optimal homotopy-analysis approach for strongly nonlinear differential equations
• Application of the differential transformation method to the free vibrations of strongly non-linear oscillators
• Newton-harmonic balancing approach for accurate solutions to nonlinear cubic-quintic duffing oscillators
• Approximate traveling wave solutions for coupled Whitham-Broer-Kaup shallow water
• Analysis of the flow of a power-law fluid film on an unsteady stretching surface by means of homotopy analysis method
• Duffing equations with cubic and quintic nonlinearities
• Unrestricted harmonic balance II. Application to stiff ordinary differential equations in enzyme catalysis
• A modified Lindstedt-Poincaré method for certain strongly non-linear oscillators
• An intrinsic multiple-scale harmonic balance method for nonlinear vibration and bifurcation problems
• Global residue harmonic balance method to periodic solutions of a class of strongly nonlinear oscillators
• An approximate solution technique not depending on small parameters: A special example
• The spreading residue harmonic balance study on the vibration frequencies of tapered beams
• Global residue harmonic balance method for large-amplitude oscillations of a nonlinear system
• Homotopy analysis method for limit cycle flutter of airfoils
• Comparison between the homotopy analysis method and homotopy perturbation method
• Improved Lindstedt–Poincaré method for the solution of nonlinear problems
• NONLINEAR VIBRATION OF A CANTILEVER WITH A DERJAGUIN–MÜLLER–TOPOROV CONTACT END
• Homotopy analysis method for fully developed MHD micropolar fluid flow between vertical porous plates
• An analytic solution of projectile motion with the quadratic resistance law using the homotopy analysis method
• A Perturbation Technique that Works Even When the Non-Linearity is Not Small
• Beyond Perturbation
• Two timescale harmonic balance. I. Application to autonomous one-dimensional nonlinear oscillators
• Application of amplitude-frequency formulation to nonlinear oscillation system of the motion of a rigid rod rocking back
• A method for obtaining approximate analytic periods for a class of nonlinear oscillators

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