DLL 01: Slender short beam – simply supported – eigenfrequencies

Description

Material		Modulus of elasticity	$E=200 000 N/mm^2$
		Density	$\rho=7800 kg/m^3$
		Poisson’s ratio	$\nu= 0.3$
Geometry	Cross-section	Dimensions	$b = 100mm$ $h = 200 mm$
		Factor for shear	$\lambda = 1.5$
	Boundary conditions	In point A	Fixed support
		In point B	Roller support
		Along line AB	$R_z, M_x$ and $M_y$ fixed to impose 2D behaviour
Mesh		No. of divisions	40

Eigen mode	Independent reference	Diamonds	Difference
1 – flexion	431,56Hz	433,51Hz	0,45%
2 – traction	1265,92Hz	1266,01Hz	0,01%
3 – flexion	1498,30Hz	1505,76Hz	0,5%
4 – flexion	2870,66Hz	2854,20Hz	-0,57%
5 – traction	3797,77Hz	3799,97Hz	0,06%
6 – flexion	4377,84Hz	4280,76Hz	-2,22%