Nonlinear dynamic analysis of an elastically restrained cantilever tapered beam

DOI10.1134/S002189441703021XzbMath1455.74034OpenAlexW2738413246MaRDI QIDQ1695249

Peng Zhang

Publication date: 7 February 2018

Published in: Journal of Applied Mechanics and Technical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s002189441703021x

zbMATH Keywords

periodic solutionnonlinear oscillationanalytical methods

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45)

Related Items (1)

Approximate analytical solutions to nonlinear damped oscillatory systems using a modified algebraic method

Cites Work

• Unnamed Item
• Unnamed Item
• A novel computing multi-parametric homotopy approach for system of linear and nonlinear Fredholm integral equations
• Activation of effector immune cells promotes tumor stochastic extinction: a homotopy analysis approach
• Application of He's homotopy perturbation method to nonlinear shock damper dynamics
• Hamiltonian approach to nonlinear oscillators
• Application of homotopy-perturbation to non-linear partial differential equations
• Higher-order approximate periodic solutions for nonlinear oscillators with the Hamiltonian approach
• A relationship between three analytical approaches to nonlinear problems
• Nonlinear vibration of a two-mass system with nonlinear stiffnesses
• Extended homotopy perturbation method and computation of flow past a stretching sheet
• A constrained homotopy technique for excluding unwanted solutions from polynomial equations arising in kinematics problems
• Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation by homotopy perturbation method
• Comparison of energy balance period with exact period for arising nonlinear oscillator equations. (He's energy balance period for nonlinear oscillators with and without discontinuities.)
• A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
• The optimal homotopy asymptotic method for solving Blasius equation
• Preliminary report on the energy balance for nonlinear oscillations.
• Dynamic model of large amplitude non-linear oscillations arising in the structural engineering: analytical solutions
• Homotopy perturbation technique
• A new technique of using homotopy analysis method for second order nonlinear differential equations
• Nonlinear vibration of stringer shell by means of extended Hamiltonian approach
• NORMAL MODE LOCALIZATION FOR A TWO DEGREES-OF-FREEDOM SYSTEM WITH QUADRATIC AND CUBIC NON-LINEARITIES
• The homotopy-perturbation method applied for solving complex-valued differential equations with strong cubic nonlinearity
• AN ELEMENTARY INTRODUCTION TO RECENTLY DEVELOPED ASYMPTOTIC METHODS AND NANOMECHANICS IN TEXTILE ENGINEERING
• Determination of natural frequencies by coupled method of homotopy perturbation and variational method for strongly nonlinear oscillators
• He's frequency formulation for nonlinear oscillators
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
• Bessel and Neumann fitted methods for the numerical solution of the Schrödinger equation

This page was built for publication: Nonlinear dynamic analysis of an elastically restrained cantilever tapered beam