| Symbol |
Description |
|
A
|
Circle plate (leaf) cross-sectional area |
|
Ab
|
beam cross-sectional area |
|
Cp
|
Capacitance of the PZT |
|
Cf
|
Piezoelectric coupling coefficient |
|
|
Young’s modulus of the elastic beam |
|
F
|
Slapping force (acting on the root of the main structure) |
|
Fb
|
Wind force acting on both the circular plate and the rectangular plate. |
|
|
Beam area moment of inertia |
|
|
Dimensionless mass moment of inertia of the circle plate (leaf) |
|
|
Dimensionless beam mass moment of inertia |
|
|
Length of beam |
|
|
Mass ratio of the circle plate to the beam |
|
mb
|
beam mass |
|
q
|
distributed external force |
|
|
Dimensionless distributed external force |
|
T
|
Slapping period |
|
|
Dimensionless slapping period |
|
t
|
Dimensional time |
|
V
|
Voltage |
|
|
Eigenvalue of nth mode |
|
|
Time scale of small perturbations. |
|
|
Von Kármán nonlinear strain |
|
|
Dimensionless damping coefficient |
|
|
Generalized coordinate (time-dependent variable) |
|
|
Dimensionless voltage |
|
|
Density |
|
|
Dimensionless time |
|
|
Mode shape of nth mode |
|
|
Tuned frequency |
|
|
The nth mode phase |
|
|
Natural frequency of nth mode |