He's frequency formulation for nonlinear vibration of a porous foundation with fractal derivative

DOI10.1007/s13137-021-00181-3zbMath1476.74052OpenAlexW3184363161MaRDI QIDQ2059127

Jing-Yan Niu, Guang-Qing Feng

Publication date: 13 December 2021

Published in: GEM - International Journal on Geomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13137-021-00181-3

zbMATH Keywords

approximate analytical solutionToda oscillatornonlinear vibrationfractal derivativeHe's frequency formula

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10)

Related Items (1)

A TUTORIAL INTRODUCTION TO THE TWO-SCALE FRACTAL CALCULUS AND ITS APPLICATION TO THE FRACTAL ZHIBER–SHABAT OSCILLATOR

Cites Work

• ``Quintication method to obtain approximate analytical solutions of non-linear oscillators
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• A gecko-like fractal receptor of a three-dimensional printing technology: a fractal oscillator
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• Variational iteration method -- some recent results and new interpretations
• Generalized variational principles for buckling analysis of circular cylinders
• On a strong minimum condition of a fractal variational principle
• FRACTAL OSCILLATION AND ITS FREQUENCY-AMPLITUDE PROPERTY
• EQUIVALENT POWER-FORM REPRESENTATION OF THE FRACTAL TODA OSCILLATOR

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