DLL 03: slender beam fixed at both ends with different inertia – dynamic response

Description

Material		Modulus of elasticity	$E=210 000 N/mm^2$
		Density	$\rho=7850 kg/m^3$
		Poisson’s ratio	$\nu= 0.3$
Geometry	Cross-section	For bars AB	IPE 200
		For bar BB	IPE 300
	Boundary conditions	In points A	Fixed support
		Along line AA	$R_z, M_x$ and $M_y$ fixed to impose 2D behaviour
Loads		Along line AA	Linear force of $q=10kN/m$ which varies in time Damping: 0.00%
Mesh		No. of divisions	20

How to model this dynamic action?

The relation between the time and the amplitude of load is should be entered relative to the period T.
$t_1/t_2 = 0,4$
The time-amplitude relation is scaled by defining $t_2$ as peroid.

The eigen modes are calculated using the modal mass due to the self-weight. The load q does not contribute to this.

Eigen mode	Independent reference	Diamonds	Difference
1	63,01Hz	63,19Hz	0,29%

Deformation $\delta_y$ due to the dynamic load in Diamonds

Eigen mode	Independent reference	Diamonds	Difference
1	2,469mm	2,467mm	-0.08%

Mécaniciens, S. F. D. (1990). Guide de validation des progiciels de calcul des structures: SDLL 03: poutre élancée encastrée-encastrée avec inerties différentes

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