DLS 03: Rectangular thin plate – simply supported – eigenfrequencies

Description

Material		Modulus of elasticity	$E=210 000 N/mm^2$
		Density	$\rho=7800 kg/m^3$
		Poisson’s ratio	$\nu= 0.3$
Geometry	Cross-section	Thickness	$e = 10mm$
Geometry	Boundary conditions	Along line AB	Fixed support
Mesh		Maximum element size	$0.05m$
Mesh		Minimum element size	$0.00m$

Results

Eigen mode	Independent reference	Diamonds	Difference
1	35.63Hz	35.6Hz	-2.81%
2	68.51Hz	68.61Hz	0.15%
3	109.62Hz	110.11Hz	0.45%
4¹	123.32Hz	123.97Hz	0.53%
5¹	142.51Hz	143.42Hz	0.64%
6¹	197.32Hz	199.27Hz	0.99%

¹ The higher the modes become, the more complex the modes shapes are and the more mesh nodes are required to get aquirate results. Therefor a relative small mesh size was chosen for this example.

References

Mécaniciens, S. F. D. (1990). Guide de validation des progiciels de calcul des structures: SDLS 03: plaque rectangulaire mince simplement appuyée sur les bords

Tested in Diamonds 2023r01.

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