TY - JOUR
T1 - Physical pendulum model: Fractional differential equation and memory effects
AU - Gonçalves, Luís Nobre
AU - Fernandes, João C.
AU - Ferraz, António
AU - Silva, Ana Gomes
AU - Sebastião, Pedro José Oliveira
PY - 2020/11/1
Y1 - 2020/11/1
N2 - A detailed analysis of pendular motion is presented. Inertial effects, self-oscillation, and memory, together with non-constant moment of inertia, hysteresis, and negative damping are shown to be required for the comprehensive description of the free pendulum oscillatory regime. The effects of very high initial amplitudes, friction in the roller bearing axle, drag, and pendulum geometry are also analyzed and discussed. A model consisting of a fractional differential equation fits and explains high resolution and long-time experimental data gathered from standard action-camera videos.
AB - A detailed analysis of pendular motion is presented. Inertial effects, self-oscillation, and memory, together with non-constant moment of inertia, hysteresis, and negative damping are shown to be required for the comprehensive description of the free pendulum oscillatory regime. The effects of very high initial amplitudes, friction in the roller bearing axle, drag, and pendulum geometry are also analyzed and discussed. A model consisting of a fractional differential equation fits and explains high resolution and long-time experimental data gathered from standard action-camera videos.
UR - http://www.scopus.com/inward/record.url?scp=85094896996&partnerID=8YFLogxK
U2 - 10.1119/10.0001660
DO - 10.1119/10.0001660
M3 - Article
AN - SCOPUS:85094896996
SN - 0002-9505
VL - 88
SP - 962
EP - 975
JO - American Journal Of Physics
JF - American Journal Of Physics
IS - 11
ER -