Table 1 Non-dimensional parameters for the NRGP-PZH-VIV system.

Linear damping ratio

\(\zeta _y\)

0.0007

Mass ratio of cylinder-pendulum system

\({\overline{m}}\)

0.3

Added mass coefficient

\(C_a\)

1

Mass ratio of cylinder-pendulum-fluid system

\(m^*\)

2.6

Ratio of cylinder diameter to pendulum length

\(l_d\)

0.1

Strouhal number

St

0.1932

Rotational/torsional damping ratio

\(\zeta _{\theta }\)

0.0011

Frequency ratio

\(\omega _r\)

1.3

Dimensionless piezoelectric parameter 1

\(\sigma _{1,y}\)

0.35

Dimensionless piezoelectric parameter 2

\(\sigma _{2,y}\)

21.4

Initial angle of pendulum

\(\theta _0\)

\(\pi /3\)