VMR029-T9

VMR029-T9
Large Elastic Deflection of a Pinched Hemispherical Shell

Test Description

A hemispherical shell of radius R = 10 and thickness t = 0.04 with symmetry boundary conditions applied along the planes x = 0 and y = 0 and a concentrated load P_max = 100 applied inward and outward diametrically. Elastic large deflection analysis is performed.

Geometic Properties

Material Properties

R = 10

t = 0.04

θ = 0° - 90°

ϕ = 18° - 90°

Boundary Conditions

Symmetry on plane y = 0

U_y = 0

R_x = 0

R_z = 0

Symmetry on plane x = 0

U_x = 0

R_y = 0

R_z = 0

Applied at node location (10,0,0)

U_z = 0

E = 6.825 x 10⁷

ν = 0.3

P_max = 100 applied inward at node location (10,0,0)

P_max = 100 applied outward at node location (0,10,0)

Results

Results are tabulated and displayed as in the NAFEMS manual.


           |    Mechanical APDL    |   RATIO   |      INPUT      |
  
SHELL181
 NODE A            -5.8795            0.9965      vmr029-t9-181  
 NODE B             3.3380            0.9760      vmr029-t9-181  
SOLID185
 NODE A            -5.7381            0.9726      vmr029-t9-185  
 NODE B             3.3280            0.9731      vmr029-t9-185  
SOLSH190
 NODE A            -5.9014            1.0002      vmr029-t9-190  
 NODE B             3.4120            0.9977      vmr029-t9-190  
SHELL281
 NODE A            -5.6595            0.9592      vmr029-t9-281  
 NODE B             3.3065            0.9668      vmr029-t9-281  
  
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Element Mechanical APDL Ratio Test Input