Solution of the Static Deflection Mode Shape Function of the Cantilever Beam under Transverse Flow Based on the Boundary Shooting Method

Table 1

The numerical solution, the analytical results, and the relative error of the deflection angle for various flow fields.

Flow profile	Numerical solution	Analytical solution	Relative error
Uniform	0.2974	0.2993	0.0063
Linear	0.0810	0.0820	0.0121
Open channel	0.1729	—	—
Power law	0.2136	0.2125	0.0052