Table 1.

A summary of the parameters associated with the perpendicular gyroscope system. The values of $L$ and $\Omega$ have been omitted as the effect of changing these parameters is investigated in this work.

parameter	description	value
$H$	height of the $X$ -beam	1 m
$L$	length of the $Z$ -beam	—
$a_x$	radius of the $X$ -beam	0.02 m
$a_z$	radius of the $Z$ -beam	0.02 m
${\displaystyle E}$	Young’s modulus of the $Z$ -beam	70 GPa
${\displaystyle \mathcal{E}}$	Young’s modulus of the $X$ -beam	70 GPa
$I_x$	second moment of area in the $x$ -direction for the $Z$ -beam	$4\pi \times {10}^{-8}$ m ${}^4$
$I_y$	second moment of area in the $y$ -direction for the $Z$ -beam	$4\pi \times {10}^{-8}$ m ${}^4$
${\displaystyle {\mathcal{I}}_y}$	second moment of area in the $y$ -direction for the $X$ -beam	$4\pi \times {10}^{-8}$ m ${}^4$
${\displaystyle {\mathcal{I}}_z}$	second moment of area in the $z$ -direction for the $X$ -beam	$4\pi \times {10}^{-8}$ m ${}^4$
$A_z$	cross-sectional area for the $Z$ -beam	$4\pi \times {10}^{-4}$ m ${}^2$
${\displaystyle {\mathcal{A}}_x}$	cross-sectional area for the $X$ -beam	$4\pi \times {10}^{-4}$ m ${}^2$
${\displaystyle J}$	torsion constant in the $z$ -direction for the $Z$ -beam	$8\pi \times {10}^{-8}$ m ${}^4$
${\displaystyle \mathcal{J}}$	torsion constant in the $x$ -direction for the $X$ -beam	$8\pi \times {10}^{-8}$ m ${}^4$
$G$	shear modulus for the $Z$ -beam	26 GPa
${\displaystyle \mathcal{G}}$	shear modulus for the $X$ -beam	26 GPa
$R$	radius of the circular plate	1 m
$h$	thickness of the plate	0.01 m
$E_p$	Young’s modulus of the plate	70 GPa
${\nu }_p$	Poisson’s ratio for the plate	0.3
$D$	flexural rigidity of the plate	$6410$ Pa m ${}^3$
$m$	mass of the gyroscopic spinner	1 kg
$I_0$	moment of inertia of the gyroscope about the $x$ - and $y$ -axes	4 kg m ${}^2$
$I_1$	moment of inertia of the gyroscope about the $z$ -axis	2 kg m ${}^2$
$\Omega$	gyricity associated with the gyroscope	—