Strongly nonlinear vibrations of damped oscillators with two nonsmooth limits

OSCILLATIONS IN AN x4/3POTENTIAL

Ronald E. Mickens · Journal of Sound and Vibration · 2001 · 100 citations

Natural Sciences, Physics, Differential Equations +3

ANALYTICAL STUDY OF VIBRATING SYSTEMS WITH STRONG NON-LINEARITIES BY EMPLOYING SAW-TOOTH TIME TRANSFORMATIONS

Valery N. Pilipchuk · Journal of Sound and Vibration · 1996 · 92 citations

Engineering, Mathematics, Mechanical Engineering +10

The 𝐴𝑡𝑒𝑏(ℎ)-functions and their properties

R. M. Rosenberg · Quarterly of Applied Mathematics · 1963 · 90 citations · Full text

Natural Sciences, Mathematics, Physics +7

ANALYSIS OF NON-LINEAR OSCILLATORS HAVING NON-POLYNOMIAL ELASTIC TERMS

Ronald E. Mickens · Journal of Sound and Vibration · 2002 · 61 citations

Engineering, Mathematics, Differential Equations +9

GENERALIZED HARMONIC BALANCE/NUMERICAL METHOD FOR DETERMINING ANALYTICAL APPROXIMATIONS TO THE PERIODIC SOLUTIONS OF THE x4/3 POTENTIAL

Kevin D. Cooper, Ronald E. Mickens · Journal of Sound and Vibration · 2002 · 58 citations

Natural Sciences, Mathematics, Computational Mechanics +9