Rossi et al 2005b - Revision history

Cinmemj: Cinmemj moved page Draft Samper 455867291 to Rossi et al 2005b

2019-05-10T08:34:28Z

Cinmemj moved page Draft Samper 455867291 to Rossi et al 2005b

Cinmemj at 11:29, 9 May 2019

2019-05-09T11:29:59Z

Cinmemj at 11:10, 9 May 2019

2019-05-09T11:10:02Z

Cinmemj at 11:07, 9 May 2019

2019-05-09T11:07:13Z

Cinmemj at 11:04, 9 May 2019

2019-05-09T11:04:51Z

Cinmemj at 11:01, 9 May 2019

2019-05-09T11:01:49Z

Cinmemj at 10:41, 9 May 2019

2019-05-09T10:41:20Z

Cinmemj at 10:40, 9 May 2019

2019-05-09T10:40:56Z

Cinmemj at 10:37, 9 May 2019

2019-05-09T10:37:16Z

Cinmemj at 10:32, 9 May 2019

2019-05-09T10:32:32Z

← Older revision		Revision as of 11:29, 9 May 2019
Line 1:		Line 1:
		+	Published in ''Recent Advances in Textile Membranes and Inflatable Structures'', Springer Verlag, pp. 89 - 108, 2005<br />
		+	DOI: 10.1007/1-4020-3317-6_6
	==1 Abstract==		==1 Abstract==

@@ Line 1,213: / Line 1,213: @@
 Fig. ([[#img-4|4]]) presents the results of the coupled analysis of a genoa and main sail; a genoa alone is presented in Fig ([[#img-5|5]]) The results obtained by this approach are presented in Fig. ([[#img-4|4]]) in application to the simulation of a genoa and main sail.
 * Predict Structural Solution
 * Deform the mesh of the fluid domain According the predicted shape of the structure (variables needed for ALE formulation of the fluid should be calculated). The mesh&#8211;movement should keep the quality of the mesh, minimizing the deformation of the elements close to the structure, see <span id='citeF-11'></span>[[#cite-11|[11]]]
@@ Line 1,223: / Line 1,224: @@
 * Advance the structure in using the pseudo&#8211;static solution technique
 * proceed to next time step
 |- style="border-bottom: 2px solid;"
 | style="text-align: left;border-left: 2px solid;border-right: 2px solid;"|
 |}
 == References ==

@@ Line 1,216: / Line 1,216: @@
 {|  class="floating_tableSCP wikitable" style="text-align: right; margin: 1em auto;min-width:50%;"
 |- style="border-top: 2px solid;"
-|+ style="font-size: 75%;" |<span id='table-3'></span>'''Table. 3''' “pseudo&#8211;static” coupling procedure
-|-
-−
-| style="text-align: left;border-left: 2px solid;border-right: 2px solid;" |
 * Predict Structural Solution
 * Deform the mesh of the fluid domain According the predicted shape of the structure (variables needed for ALE formulation of the fluid should be calculated). The mesh&#8211;movement should keep the quality of the mesh, minimizing the deformation of the elements close to the structure, see <span id='citeF-11'></span>[[#cite-11|[11]]]
@@ Line 1,230: / Line 1,226: @@
 | style="text-align: left;border-left: 2px solid;border-right: 2px solid;"|
 |}
 == References ==

@@ Line 1,209: / Line 1,209: @@
 It is however possible to observe that the pseudo&#8211;dynamic solution procedure presented in section &nbsp;[[#2 The Membrane Model|2]] has very high dissipative properties and is perfectly suited for the research of coupled “static” solutions
-The objection to the use of “explicit” coupling schemes is therefore no longer applicable as our artificial damping can easily remove any spurious energy contribution introduced by the couping process. Given this observation “explicit” procedures are  much more efficient than the corresponding “implicit” ones as the single step is much cheaper. Box ([[#table-3|3]]) proposes an efficient coupled solution strategy.
+The objection to the use of “explicit” coupling schemes is therefore no longer applicable as our artificial damping can easily remove any spurious energy contribution introduced by the couping process. Given this observation “explicit” procedures are  much more efficient than the corresponding “implicit” ones as the single step is much cheaper. Table ([[#table-3|3]]) proposes an efficient coupled solution strategy.
 Fig. ([[#img-4|4]]) presents the results of the coupled analysis of a genoa and main sail; a genoa alone is presented in Fig ([[#img-5|5]]) The results obtained by this approach are presented in Fig. ([[#img-4|4]]) in application to the simulation of a genoa and main sail.
-{|  class="floating_tableSCP" style="text-align: left; margin: 1em auto;border-top: 2px solid;border-bottom: 2px solid;min-width:50%;"
+{|  class="floating_tableSCP wikitable" style="text-align: right; margin: 1em auto;min-width:50%;"
 |+ style="font-size: 75%;" |<span id='table-3'></span>'''Table. 3''' “pseudo&#8211;static” coupling procedure
 |-
+|
+| style="text-align: left;border-left: 2px solid;border-right: 2px solid;" |
 * Predict Structural Solution
 * Deform the mesh of the fluid domain According the predicted shape of the structure (variables needed for ALE formulation of the fluid should be calculated). The mesh&#8211;movement should keep the quality of the mesh, minimizing the deformation of the elements close to the structure, see <span id='citeF-11'></span>[[#cite-11|[11]]]
@@ Line 1,225: / Line 1,227: @@
 * Advance the structure in using the pseudo&#8211;static solution technique
 * proceed to next time step
 |}

@@ Line 1,106: / Line 1,106: @@
 It can be easily checked how even different runs of the same structure with the same mesh can lead to different wrinkling patterns. The only realistic result is therefore the extension of the wrinkled zone.
-The solution obtained on the coarse mesh without any improvement (see Fig. [[#img-1|1a]],[[#img-1|1b]]) is poor both in terms of stresses and displacements The introduction of the wrinkling correction allows to catch the correct behavior using a much coarser mesh. Considering the results on the dense mesh as the reference solution, Fig [[#img-1|1e]],[[#img-1|1f]] clearly shows how a remarkable improvement is obtained both in terms of stresses and displacements using the wrinkling correction. Table [[#table-2|2]] in particular highlights how the results of the analysis on the coarse mesh with the wrinkling correction are practically coincident to the reference solution confirming the efficacy of the approach.
+The solution obtained on the coarse mesh without any improvement (see Fig. [[#img-1|1a]],[[#img-1|1b]]) is poor both in terms of stresses and displacements The introduction of the wrinkling correction allows to catch the correct behavior using a much coarser mesh. Considering the results on the dense mesh as the reference solution, Fig [[#img-1|1(e)]],[[#img-1|1(f)]] clearly shows how a remarkable improvement is obtained both in terms of stresses and displacements using the wrinkling correction. Table [[#table-2|2]] in particular highlights how the results of the analysis on the coarse mesh with the wrinkling correction are practically coincident to the reference solution confirming the efficacy of the approach.
@@ Line 1,156: / Line 1,156: @@
 |}
-''ANNULUS UNDER SHEAR:''  The last proposed example is an annulus under shear constituted by a thin membrane blocked by two rigid disks on the inner and outer boundaries. The inner disk is rotated by 10° counterclockwise causing the membrane to wrinkle. Fig [[#img-3|3b]] shows the results of the wrinkling procedure applied to a coarse mesh. Comparison with the reference results (Fig. [[#img-3|3d]]) shows excellent agreement in terms of principle PK2 stresses.
+''ANNULUS UNDER SHEAR:''  The last proposed example is an annulus under shear constituted by a thin membrane blocked by two rigid disks on the inner and outer boundaries. The inner disk is rotated by 10° counterclockwise causing the membrane to wrinkle. Fig [[#img-3|3(b)]] shows the results of the wrinkling procedure applied to a coarse mesh. Comparison with the reference results (Fig. [[#img-3|3d]]) shows excellent agreement in terms of principle PK2 stresses.

← Older revision	Revision as of 08:34, 10 May 2019
(No difference)

@@ Line 1,199: / Line 1,199: @@
 | (a) genoa - leeward face
 | (b) genoa - windward face
 |- style="text-align: center; font-size: 75%;"
 | colspan="2" | '''Figure 5''' pressure field on the genoa at the end of the coupled analysis

@@ Line 1,186: / Line 1,186: @@
 {| class="floating_imageSCP" style="text-align: center; border: 1px solid #BBB; margin: 1em auto; width: 100%;max-width: 100%;"
 |-
-|[[Image:Draft_Samper_455867291-both.png|480px|interaction of a genoa and a main sail - pressures at the end of the coupled analysis]]
+|[[Image:Draft_Samper_455867291-both.png|300px|interaction of a genoa and a main sail - pressures at the end of the coupled analysis]]
 |- style="text-align: center; font-size: 75%;"
 | colspan="1" | '''Figure 4:''' interaction of a genoa and a main sail - pressures at the end of the coupled analysis
 |}
 <div id='img-5'></div>
 {| class="floating_imageSCP" style="text-align: center; border: 1px solid #BBB; margin: 1em auto; width: 100%;max-width: 100%;"
@@ Line 1,205: / Line 1,202: @@
 | colspan="2"
 |- style="text-align: center; font-size: 75%;"
-|  colspan="2" | (c) pressure field on the genoa at the end of the coupled analysis
+| colspan="2" | '''Figure 5''' pressure field on the genoa at the end of the coupled analysis
-|- style="text-align: center; font-size: 75%;"
-| colspan="2" | '''Figure 5'''
 |}

@@ Line 1,177: / Line 1,177: @@
 |}
-==4 coupling issues - the case of the sails==
+==4 Coupling issues - The case of the sails==
 Coupled fluid&#8211;membrane analysis is a challenging problem involving high non&#8211;linearities both on the side of the structure and of that of the fluid. The physical problem is however pretty clear: the membrane, is immersed in a fluid field. The presence of the structure influences the flow of the fluid, which exerts a force on the membrane. This force causes a deformation, changing the boundary conditions for the fluid flow and consequently the force exerted.  Given the high flexibility of the structure, the coupling becomes strong.

@@ Line 1,141: / Line 1,141: @@
 {| class="floating_imageSCP" style="text-align: center; border: 1px solid #BBB; margin: 1em auto; width: 100%;max-width: 100%;"
 |-
-|[[Image:Draft_Samper_455867291-shear_coarse.png|200px|Values of Principal PK2 Stresses]]
+|[[Image:Draft_Samper_455867291-shear_coarse.png|300px|Values of Principal PK2 Stresses]]
 |[[Image:Draft_Samper_455867291-shear_coarse_PK2.png|200px|Plot of Principal PK2 stresses]]
 |- style="text-align: center; font-size: 75%;"