TY - JOUR
T1 - Strong nonlinearity and external high-frequency forcing for controlling effective mechanical stiffness: theory and experiment
AU - Thomsen, Jon Juel
AU - Ebbehøj, Kristian Ladefoged
PY - 2023
Y1 - 2023
N2 - High-frequency excitation (HFE) can be used to change the effective
stiffness of an elastic structure, and related quantities such as
resonance frequencies, wave speeds, buckling loads, and equilibrium
states. There are two ways to do this: by using parametric HFE (with or
without nonlinearity) or by using external HFE along with strong
nonlinearity. The first way, parametric stiffening, has been examined
for many different systems, and analytical predictions exist that have
been repeatedly confirmed against numerical simulation and laboratory
experiments. The current work presents results using the other way,
external stiffening: Combining the method of direct separation of
motions with results of a modified multiple-scale approach, valid also
for strong or even essential nonlinearity, quantitative measures of the
stiffening effect are predicted for a generic 1-DOF system and tested
with generally good agreement against numerical simulation and
laboratory experiments.
AB - High-frequency excitation (HFE) can be used to change the effective
stiffness of an elastic structure, and related quantities such as
resonance frequencies, wave speeds, buckling loads, and equilibrium
states. There are two ways to do this: by using parametric HFE (with or
without nonlinearity) or by using external HFE along with strong
nonlinearity. The first way, parametric stiffening, has been examined
for many different systems, and analytical predictions exist that have
been repeatedly confirmed against numerical simulation and laboratory
experiments. The current work presents results using the other way,
external stiffening: Combining the method of direct separation of
motions with results of a modified multiple-scale approach, valid also
for strong or even essential nonlinearity, quantitative measures of the
stiffening effect are predicted for a generic 1-DOF system and tested
with generally good agreement against numerical simulation and
laboratory experiments.
U2 - 10.1007/s11071-023-08255-7
DO - 10.1007/s11071-023-08255-7
M3 - Journal article
SN - 0924-090X
VL - 111
SP - 6985
EP - 7003
JO - Nonlinear Dynamics
JF - Nonlinear Dynamics
ER -