| a | Radius of the circular membrane |
| h | Thickness of the circular membrane |
| E | Young’s modulus of elasticity |
| ν | Poisson’s ratio |
| H | Height of the liquid in the storage container |
| ρ | Density of the liquid in the storage container |
| g | Acceleration of gravity |
| r | Radial coordinate of the cylindrical coordinate system (r, φ, w) |
| φ | Circumferential angle coordinate of (r, φ, w) |
| w | Axial coordinate of (r, φ, w) as well as transverse displacement |
| u | Radial displacement of the deflected circular membrane |
| w m | Maximum deflection of the deflected circular membrane |
| q(r) | Transverse loads that varies continuously with the radial coordinate r |
| F(r) | External force produced by q(r) within radius r |
| σ r | Radial stress |
| σ t | Circumferential stress |
| e r | Radial strain |
| e t | Circumferential strain |
| θ | Rotation angle of the deflected circular membrane |
| π | Pi (ratio of circumference to diameter) |
| W | Dimensionless transverse displacement (w/a) |
| S r | Dimensionless radial stress (σr/E) |
| S t | Dimensionless circumferential stress (σt/E) |
| H 0 | Dimensionless height H (H/a) |
| G | Dimensionless quantity (ρga2/Eh) |
| x | Dimensionless radial coordinate (r/a) |
| C | Capacitance of a non-parallel plate capacitor |
| D | Initial gap of the non-parallel plate capacitor |
| b i | Coefficients of the power series for capacitance C |
| c i | Coefficients of the power series for Sr |
| d i | Coefficients of the power series for W |