Stability Analysis and Investigation of a Magnetoelastic Beam Subjected to Axial Compressive Load and Transverse Magnetic Field

Table 1

The first three wave numbers corresponding to various boundary conditions.

Boundary condition	Mode number
	$N=1$	$N=2$	$N=3$
S-S	$\frac{\pi }{L}$	$\frac{2\pi }{L}$	$\frac{3\pi }{L}$
C-S	$\frac{3.926602}{L}$	$\frac{7.068583}{L}$	$\frac{10.210176}{L}$
C-F (Cantilever)	$\frac{1.875104}{L}$	$\frac{4.694091}{L}$	$\frac{7.854757}{L}$
C-C	$\frac{4.730041}{L}$	$\frac{7.853205}{L}$	$\frac{10.995607}{L}$

${}^{*}$S stands for Simply supported, C is for clamped, F is for free end