@article{Tian_2022, title={Frequency formula for a class of fractal vibration system}, volume={3}, url={https://frontpres.rabek.org/index.php/asd/article/view/64}, DOI={10.31181/rme200103055y}, abstractNote={<p>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.</p>}, number={1}, journal={Reports in Mechanical Engineering}, author={Tian, Yi}, year={2022}, month={Jan.}, pages={55-61} }