VMP09-T15

VMP09-T15
Clamped Thin Rhombic Plate

Test Description

A rhombus plate of length L = 10 and angle offset θ = 45° from the y-axis is constrained in the x, y, and R_z direction at all nodes and the z', R_x' and R_y' direction along the four edges. Frequency vibration analysis is performed on the model.

Geometic Properties

Material Properties

Boundary Conditions

L = 10m

θ = 45°

E = 200 x 10⁹ N/m²

ρ = 8000.0 kg/m³

ν = 0.3

Applied at all nodes:

U_x = 0

U_y = 0

R_z = 0

Applied along all 4 edges:

U_z' = 0

R_x' = 0

R_y' = 0

Results

Results are tabulated and displayed as in the NAFEMS manual.


             |   Mechanical APDL   |   RATIO  |         INPUT         |
  
 SHELL181
  MODE1               8.1425           1.0258       vmp09-t15-181
  MODE2              13.8919           1.0823       vmp09-t15-181
  MODE3              20.0380           1.1169       vmp09-t15-181
  MODE4              20.1671           1.0540       vmp09-t15-181
  MODE5              27.9538           1.1643       vmp09-t15-181
  MODE6              32.0477           1.1478       vmp09-t15-181
 SHELL281
  MODE1               7.9358           0.9997       vmp09-t15-281
  MODE2              12.8568           1.0017       vmp09-t15-281
  MODE3              18.0159           1.0042       vmp09-t15-281
  MODE4              19.0948           0.9980       vmp09-t15-281
  MODE5              24.1072           1.0041       vmp09-t15-281
  MODE6              27.8501           0.9974       vmp09-t15-281
  
 ----------------------------------------------------------------------

Element Mechanical APDL Ratio Test Input

vmp09-t15-181.dat

vmp09-t15-281.dat