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DLS 02: Lozenge – shaped thin plate with one edge fixed – eigenfrequencies

DLS 02: Lozenge – shaped thin plate with one edge fixed – 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	$e = 10mm$
	Boundary conditions	Along line AB	Fixed support
		Consider a case for each angel	α = 15°, 30°, 45°
Mesh		Maximum element size	$0.05m$
Mesh		Minimum element size	$0.00m$

How do I model a skew plate?

Results

For α = 15°

Eigen mode	Shape	Independent reference	Diamonds	Difference
1		8.999Hz	8.950Hz	-0.54%
2		22.171Hz	21.751Hz	-1.9%

For α = 30°

Eigen mode	Shape	Independent reference	Diamonds	Difference
1		9.899Hz	9.823Hz	-0.76%
2		25.465Hz	23.534Hz	-7.58%

For α = 45°

Eigen mode	Shape	Independent reference	Diamonds	Difference
1		11.121Hz	11.292Hz	1.54%
2		23.390Hz	28.134Hz	6.61%

References

Mécaniciens, S. F. D. (1990). Guide de validation des progiciels de calcul des structures: SDLS 02: plaque Losange mince encastrée sur un bord

Tested in Diamonds 2023r01.

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