Amplitude incremental method: a novel approach to capture stable and unstable solutions of harmonically excited vibration response of functionally graded beams under large amplitude motion

DOI10.1515/ijnsns-2018-0235OpenAlexW2936753730MaRDI QIDQ2296064

Brajesh Panigrahi, Goutam Pohit

Publication date: 17 February 2020

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ijnsns-2018-0235

zbMATH Keywords

harmonic balance methodTimoshenko beam theorynon-linear vibrationamplitude incremental techniqueFGM beams

Mathematics Subject Classification ID

Simulation of dynamical systems (37M05)

Cites Work

• A new beam finite element for the analysis of functionally graded materials.
• A new hyperbolic shear deformation theory for bending and free vibration analysis of isotropic, functionally graded, sandwich and laminated composite plates
• Study of non-linear dynamic behavior of open cracked functionally graded Timoshenko beam under forced excitation using harmonic balance method in conjunction with an iterative technique
• Incremental Harmonic Balance Method With Multiple Time Scales for Aperiodic Vibration of Nonlinear Systems
• STRUCTURAL SIMILITUDE AND SCALING LAWS OF ANTI-SYMMETRIC CROSS-PLY LAMINATED CYLINDRICAL SHELLS FOR BUCKLING AND VIBRATION EXPERIMENTS
• FORCED VIBRATION OF TWO BEAMS JOINED WITH A NON-LINEAR ROTATIONAL JOINT: CLAMPED AND SIMPLY SUPPORTED END CONDITIONS
• Amplitude Incremental Variational Principle for Nonlinear Vibration of Elastic Systems
• THE RESPONSE OF A NONLINEAR SYSTEM WITH A NONSEMISIMPLE ONE-TO-ONE RESONANCE TO A COMBINATION PARAMETRIC RESONANCE
• Nonlinear Vibrations of a Beam Under Harmonic Excitation
• A multiple degree-of-freedom approach to nonlinear beam vibrations
• Nonlinear Vibrations of a Buckled Beam Under Harmonic Excitation

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