TY - JOUR
AU - Tian, Yi
PY - 2022/01/01
Y2 - 2022/05/22
TI - Frequency formula for a class of fractal vibration system
JF - Reports in Mechanical Engineering
JA - Rep Mech Eng
VL - 3
IS - 1
SE - Articles
DO - 10.31181/rme200103055y
UR - https://frontpres.rabek.org/index.php/asd/article/view/64
SP - 55-61
AB - Four fractal nonlinear oscillators (The fractal Duffing oscillator, fractal attachment oscillator, fractal Toda oscillator, and a fractal nonlinear oscillator) are successfully established by He’s fractal derivative in a fractal space, and their variational principles are obtained by semi-inverse transform method. The approximate frequency of the four fractal oscillators are found by a simple frequency formula. The results show the frequency formula is a powerful and simple tool to a class of fractal oscillators.
ER -