symbols | definitions |
L | length of the cable |
C | damping coefficient of the damper |
K | stiffness coefficient of the damper |
m | mass of the cable per unit length |
T | cable tension |
a, a' | distances between the installation point of the damper and the left and right anchor ends |
x, x' | axial coordinate of the cable |
α | nonlinear coefficient of damping |
β | nonlinear coefficient of stiffness |
v(x,t) | cable vibration amplitude |
ωn | natural frequency of the n order |
Fk | force caused by the spring |
Fc | force caused by the dashpot |
η | dimensionless damping coefficient |
μ | dimensionless stiffness coefficient |
ξn,max | Maximum damping ratio |
ηopt | Optimal damping coefficient |