Ribo Rodriguez 2019a - Revision history

Ramsan at 14:48, 8 November 2019

2019-11-08T14:48:24Z

Ramsan at 12:16, 23 October 2019

2019-10-23T12:16:39Z

Ramsan at 09:31, 23 October 2019

2019-10-23T09:31:42Z

Ramsan at 11:36, 3 October 2019

2019-10-03T11:36:30Z

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Ramsan at 11:06, 26 September 2019

2019-09-26T11:06:41Z

Ramsan at 11:05, 26 September 2019

2019-09-26T11:05:10Z

Ramsan at 11:01, 26 September 2019

2019-09-26T11:01:00Z

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Ramsan: Ramsan moved page Draft Ribo Rodriguez 725859212 to Ribo Rodriguez 2019a

2019-09-25T07:07:14Z

Ramsan moved page Draft Ribo Rodriguez 725859212 to Ribo Rodriguez 2019a

Ramsan at 07:06, 25 September 2019

2019-09-25T07:06:22Z

Ramsan at 07:05, 25 September 2019

2019-09-25T07:05:05Z

@@ Line 613: / Line 613: @@
 see [[#r:4|[4]]] and see [[#r:5|[5]]] for a detailed description.
 == References ==
@@ Line 643: / Line 691: @@
 [5] Hopkins P. (2005) Benchmarks for Membrane and Bending Analysis of Laminated Shells. ISBN 1874376085
 </div>

@@ Line 8: / Line 8: @@
 {| class='floating_imageSCP' style='text-align: center; border: 1px solid #BBB; margin: 1em auto; width: 100%;max-width: 100%;'
 |-
-|[[Image:Ribo_Rodriguez_2019a-shell_desc2.svg]]
+|[[Image:Ribo_Rodriguez_2019a-shell_desc3.svg]]
 |- style='text-align: center; font-size: 75%;'
 | colspan='1' | '''Image 1'''. Shell is represented by its mid plane
@@ Line 39: / Line 39: @@
 {| class='floating_imageSCP' style='text-align: center; border: 1px solid #BBB; margin: 1em auto; width: 100%;max-width: 100%;'
 |-
-|[[Image:Ribo_Rodriguez_2019a-shell_strengths2.svg]]
+|[[Image:Ribo_Rodriguez_2019a-shell_strengths3.svg]]
 |- style='text-align: center; font-size: 75%;'
 | colspan='1' | '''Image 2'''. Strengths in the shell
@@ Line 82: / Line 82: @@
 {| class='floating_imageSCP' style='text-align: center; border: 1px solid #BBB; margin: 1em auto; width: 100%;max-width: 100%;'
 |-
-|[[Image:Ribo_Rodriguez_2019a-shear_strengths2.svg]]
+|[[Image:Ribo_Rodriguez_2019a-shear_strengths3.svg]]
 |- style='text-align: center; font-size: 75%;'
 | colspan='1' | '''Image 3'''. Real parabolic shear stress is simplified as constant through the thickness
@@ Line 92: / Line 92: @@
 {| class='floating_imageSCP' style='text-align: center; border: 1px solid #BBB; margin: 1em auto; width: 100%;max-width: 100%;'
 |-
-|[[Image:Ribo_Rodriguez_2019a-shell_mesh2.svg]]
+|[[Image:Ribo_Rodriguez_2019a-shell_mesh3.svg]]
 |- style='text-align: center; font-size: 75%;'
 | colspan='1' | '''Image 4'''. The discretization is the triangle mesh
@@ Line 289: / Line 289: @@
 {| class='floating_imageSCP' style='text-align: center; border: 1px solid #BBB; margin: 1em auto; width: 100%;max-width: 100%;'
 |-
-|[[Image:Ribo_Rodriguez_2019a-shell_main_axes2.svg]]
+|[[Image:Ribo_Rodriguez_2019a-shell_main_axes3.svg]]
 |- style='text-align: center; font-size: 75%;'
 | colspan='1' | '''Image 5'''. Main strengths in <math display="inline">LA_M</math> and <math display="inline">LA_M</math>
@@ Line 537: / Line 537: @@
 {| class='floating_imageSCP' style='text-align: center; border: 1px solid #BBB; margin: 1em auto; width: 100%;max-width: 100%;'
 |-
-|[[Image:Ribo_Rodriguez_2019a-shell_laminate2.svg]]
+|[[Image:Ribo_Rodriguez_2019a-shell_laminate3.svg]]
 |- style='text-align: center; font-size: 75%;'
 | colspan='1' | '''Image 6'''. Analysis of a laminate ply

@@ Line 8: / Line 8: @@
 {| class='floating_imageSCP' style='text-align: center; border: 1px solid #BBB; margin: 1em auto; width: 100%;max-width: 100%;'
 |-
-|[[Image:Ribo_Rodriguez_2019a-shell_desc.svg]]
+|[[Image:Ribo_Rodriguez_2019a-shell_desc2.svg]]
 |- style='text-align: center; font-size: 75%;'
 | colspan='1' | '''Image 1'''. Shell is represented by its mid plane
@@ Line 39: / Line 39: @@
 {| class='floating_imageSCP' style='text-align: center; border: 1px solid #BBB; margin: 1em auto; width: 100%;max-width: 100%;'
 |-
-|[[Image:Ribo_Rodriguez_2019a-shell_strengths.svg]]
+|[[Image:Ribo_Rodriguez_2019a-shell_strengths2.svg]]
 |- style='text-align: center; font-size: 75%;'
 | colspan='1' | '''Image 2'''. Strengths in the shell
@@ Line 82: / Line 82: @@
 {| class='floating_imageSCP' style='text-align: center; border: 1px solid #BBB; margin: 1em auto; width: 100%;max-width: 100%;'
 |-
-|[[Image:Ribo_Rodriguez_2019a-shear_strengths.svg]]
+|[[Image:Ribo_Rodriguez_2019a-shear_strengths2.svg]]
 |- style='text-align: center; font-size: 75%;'
 | colspan='1' | '''Image 3'''. Real parabolic shear stress is simplified as constant through the thickness
@@ Line 92: / Line 92: @@
 {| class='floating_imageSCP' style='text-align: center; border: 1px solid #BBB; margin: 1em auto; width: 100%;max-width: 100%;'
 |-
-|[[Image:Ribo_Rodriguez_2019a-shell_mesh.svg]]
+|[[Image:Ribo_Rodriguez_2019a-shell_mesh2.svg]]
 |- style='text-align: center; font-size: 75%;'
-| colspan='1' | '''Image 4'''. The discretization is the shell mesh
+| colspan='1' | '''Image 4'''. The discretization is the triangle mesh
 |}
@@ Line 289: / Line 289: @@
 {| class='floating_imageSCP' style='text-align: center; border: 1px solid #BBB; margin: 1em auto; width: 100%;max-width: 100%;'
 |-
-|[[Image:Ribo_Rodriguez_2019a-shell_main_axes.svg]]
+|[[Image:Ribo_Rodriguez_2019a-shell_main_axes2.svg]]
 |- style='text-align: center; font-size: 75%;'
 | colspan='1' | '''Image 5'''. Main strengths in <math display="inline">LA_M</math> and <math display="inline">LA_M</math>
@@ Line 537: / Line 537: @@
 {| class='floating_imageSCP' style='text-align: center; border: 1px solid #BBB; margin: 1em auto; width: 100%;max-width: 100%;'
 |-
-|[[Image:Ribo_Rodriguez_2019a-shell_laminate.svg]]
+|[[Image:Ribo_Rodriguez_2019a-shell_laminate2.svg]]
 |- style='text-align: center; font-size: 75%;'
 | colspan='1' | '''Image 6'''. Analysis of a laminate ply
@@ Line 610: / Line 610: @@
 </div>
-Where <math display="inline">\sigma_{1t}</math> and <math display="inline">\sigma_{1c}</math> are the tensile and compressive allowable stress in the longitudinal direction and <math display="inline">\sigma_{2t}</math> and <math display="inline">\sigma_{2c}</math> are the tensile and compressive allowable stress in the transverse direction. <math display="inline">\tau{12}</math> is the allowable shear stress.
+Where <math display="inline">\sigma_{1t}</math> and <math display="inline">\sigma_{1c}</math> are the tensile and compressive allowable stress in the longitudinal direction and <math display="inline">\sigma_{2t}</math> and <math display="inline">\sigma_{2c}</math> are the tensile and compressive allowable stress in the transverse direction. <math display="inline">\tau_{12}</math> is the allowable shear stress.
 see [[#r:4|[4]]] and see [[#r:5|[5]]] for a detailed description.

← Older revision		Revision as of 11:06, 26 September 2019
Line 1:		Line 1:
−	== Introduction ==	+	== Introduction ==

	The ''finite element'' method permits to solve the governing equation of a structural model by using numerical methods over one model discretization. When the structure is thin (have one dimension much smaller than the other two), it is possible to consider the problem as a ''shell finite element'' problem. The results of this analysis are the displacements and rotations in every node of the mesh and the ''strengths'' in some interior element positions.		The ''finite element'' method permits to solve the governing equation of a structural model by using numerical methods over one model discretization. When the structure is thin (have one dimension much smaller than the other two), it is possible to consider the problem as a ''shell finite element'' problem. The results of this analysis are the displacements and rotations in every node of the mesh and the ''strengths'' in some interior element positions.

@@ Line 1: / Line 1: @@
 == Introduction ==
 The ''finite element'' method permits to solve the governing equation of a structural model by using numerical methods over one model discretization. When the structure is thin (have one dimension much smaller than the other two), it is possible to consider the problem as a ''shell finite element'' problem. The results of this analysis are the displacements and rotations in every node of the mesh and the ''strengths'' in some interior element positions.
@@ Line 8: / Line 8: @@
 {| class='floating_imageSCP' style='text-align: center; border: 1px solid #BBB; margin: 1em auto; width: 100%;max-width: 100%;'
 |-
-|[[Image:shell_desc.svg]]
+|[[Image:Draft_Ribo Rodriguez_725859212-shell_desc.svg]]
 |- style='text-align: center; font-size: 75%;'
 | colspan='1' | '''Image 1'''. Shell is represented by its mid plane
@@ Line 39: / Line 39: @@
 {| class='floating_imageSCP' style='text-align: center; border: 1px solid #BBB; margin: 1em auto; width: 100%;max-width: 100%;'
 |-
-|[[Image:shell_strengths.svg]]
+|[[Image:Draft_Ribo Rodriguez_725859212-shell_strengths.svg]]
 |- style='text-align: center; font-size: 75%;'
 | colspan='1' | '''Image 2'''. Strengths in the shell
@@ Line 82: / Line 82: @@
 {| class='floating_imageSCP' style='text-align: center; border: 1px solid #BBB; margin: 1em auto; width: 100%;max-width: 100%;'
 |-
-|[[Image:shear_strengths.svg]]
+|[[Image:Draft_Ribo Rodriguez_725859212-shear_strengths.svg]]
 |- style='text-align: center; font-size: 75%;'
 | colspan='1' | '''Image 3'''. Real parabolic shear stress is simplified as constant through the thickness
@@ Line 92: / Line 92: @@
 {| class='floating_imageSCP' style='text-align: center; border: 1px solid #BBB; margin: 1em auto; width: 100%;max-width: 100%;'
 |-
-|[[Image:shell_mesh.svg]]
+|[[Image:Draft_Ribo Rodriguez_725859212-shell_mesh.svg]]
 |- style='text-align: center; font-size: 75%;'
 | colspan='1' | '''Image 4'''. The discretization is the shell mesh
@@ Line 164: / Line 164: @@
 {|
 |+ Table 2. Moments in coarse mesh. Gauss points results
-| [[Image:rectangular_plate_mx_02-3.png|rp-02-gp]]
+| [[Image:Draft_Ribo Rodriguez_725859212-rectangular_plate_mx_02-3.png|rp-02-gp]]
-| [[Image:rectangular_plate_mx_02-4.png|rp-02-gp1]]
+| [[Image:Draft_Ribo Rodriguez_725859212-rectangular_plate_mx_02-4.png|rp-02-gp1]]
-| [[Image:rectangular_plate_mx_02-5.png|rp-02-gp2]]
+| [[Image:Draft_Ribo Rodriguez_725859212-rectangular_plate_mx_02-5.png|rp-02-gp2]]
 |}
@@ Line 175: / Line 175: @@
 {|
 |+ Table 3. Moments in coarse mesh. Smoothed results
-| [[Image:rectangular_plate_mx_02-0.png|rp-02-sm]]
+| [[Image:Draft_Ribo Rodriguez_725859212-rectangular_plate_mx_02-0.png|rp-02-sm]]
-| [[Image:rectangular_plate_mx_02-1.png|rp-02-sm1]]
+| [[Image:Draft_Ribo Rodriguez_725859212-rectangular_plate_mx_02-1.png|rp-02-sm1]]
-| [[Image:rectangular_plate_mx_02-2.png|rp-02-sm2]]
+| [[Image:Draft_Ribo Rodriguez_725859212-rectangular_plate_mx_02-2.png|rp-02-sm2]]
 |}
@@ Line 186: / Line 186: @@
 {|
 |+ Table 4. Moments in fine mesh. Gauss points results
-| [[Image:rectangular_plate_mx_005-6.png|rp-005-gp]]
+| [[Image:Draft_Ribo Rodriguez_725859212-rectangular_plate_mx_005-6.png|rp-005-gp]]
-| [[Image:rectangular_plate_mx_005-7.png|rp-005-gp1]]
+| [[Image:Draft_Ribo Rodriguez_725859212-rectangular_plate_mx_005-7.png|rp-005-gp1]]
-| [[Image:rectangular_plate_mx_005-8.png|rp-005-gp2]]
+| [[Image:Draft_Ribo Rodriguez_725859212-rectangular_plate_mx_005-8.png|rp-005-gp2]]
 |}
@@ Line 197: / Line 197: @@
 {|
 |+ Table 5. Moments in fine mesh. Smoothed results
-| [[Image:rectangular_plate_mx_005-9.png|rp-005-sm]]
+| [[Image:Draft_Ribo Rodriguez_725859212-rectangular_plate_mx_005-9.png|rp-005-sm]]
-| [[Image:rectangular_plate_mx_005-10.png|rp-005-sm1]]
+| [[Image:Draft_Ribo Rodriguez_725859212-rectangular_plate_mx_005-10.png|rp-005-sm1]]
-| [[Image:rectangular_plate_mx_005-11.png|rp-005-sm2]]
+| [[Image:Draft_Ribo Rodriguez_725859212-rectangular_plate_mx_005-11.png|rp-005-sm2]]
 |}
@@ Line 291: / Line 291: @@
 {| class='floating_imageSCP' style='text-align: center; border: 1px solid #BBB; margin: 1em auto; width: 100%;max-width: 100%;'
 |-
-|[[Image:shell_main_axes.svg]]
+|[[Image:Draft_Ribo Rodriguez_725859212-shell_main_axes.svg]]
 |- style='text-align: center; font-size: 75%;'
 | colspan='1' | '''Image 5'''. Main strengths in <math display="inline">LA_M</math> and <math display="inline">LA_M</math>
@@ Line 519: / Line 519: @@
 {| class='floating_imageSCP' style='text-align: center; border: 1px solid #BBB; margin: 1em auto; width: 100%;max-width: 100%;'
 |-
-|[[Image:shell_laminate.svg]]
+|[[Image:Draft_Ribo Rodriguez_725859212-shell_laminate.svg]]
 |- style='text-align: center; font-size: 75%;'
 | colspan='1' | '''Image 6'''. Analysis of a laminate ply

← Older revision	Revision as of 07:07, 25 September 2019
(No difference)

@@ Line 37: / Line 37: @@
 In any internal point of the structure the ''stress tensor'' represents the stresses in that point. As we have simplified the shell structure by the mid plane, it is necessary to define some values that are calculated as the integrals of the stress tensor through the shell thickness so as they represent completely, under the accepted hypotheses, the stresses in the mid plane.
-{| class='wikitable' style='text-align: center; border: 1px solid #BBB; margin: 1em auto; width: 100%;max-width: 100%;'
+{| style='text-align: center; border: 1px solid #BBB; margin: 1em auto; width: 100%;max-width: 100%;'
 |-
 |[[Image:Draft_Ribo Rodriguez_725859212-shell_strengths.svg]]
@@ Line 48: / Line 48: @@
 <div id="table:1" class="mytable">
-{|
+{| class='wikitable'
 |+ Table 1. Definition of strengths
 !width="27%"| Axial force in X’

@@ Line 208: / Line 208: @@
 <div id="table:sm5" class="mytable">
-{|
+{| class="wikitable"
 |+ Table 6. Some results for the different meshes
 ! Mesh
@@ Line 243: / Line 243: @@
 </div>
 == Main strengths and main stresses ==