G modeling ============== Characteristics of modeling ----------------------------------- DST triangular shell element The plate model associated with modeling :math:`D` is rotated 20 degrees according to the alpha nautical angle and 30 degrees according to beta. The cell numbering is the same as in modeling :math:`D`. .. image:: images/10000000000001AB000001C95D135D313E860762.png :width: 4.3146in :height: 4.6165in .. _RefImage_10000000000001AB000001C95D135D313E860762.png: Boundary conditions: .. csv-table:: "LIAISON_OBLIQUE" "(GROUP_NO: AB, ANGL_NAUT =( 20.,30.,0.) , EX: 0. , DZ: 0. , DRY :0.)" "(GROUP_NO: BC, ANGL_NAUT =( 20.,30.,0.) , BY: 0. , DZ: 0. , DRX :0.)" "(GROUP_NO: CD, ANGL_NAUT =( 20.,30.,0.) , EX: 0. , DZ: 0. , DRY :0.)" "(GROUP_NO: DA, ANGL_NAUT =( 20.,30.,0.) , BY: 0. , DZ: 0. , DRX :0.)" "(GROUP_NO: O, ANGL_NAUT =( 20.,30.,0.) , EX: 0. , BY: 0. , DRX :0. , DRY :0. , DRZ :0.)" "FORCE_ARETE" "(GROUP_NO: AB MY:0.)" "(GROUP_NO: BC MX:0.)" "(GROUP_NO: CDMY:0.)" "(GROUP_NO: BY MAX:0.)" Characteristics of the mesh ---------------------------- Number of knots: 170 Number of meshes and type: 288 TRIA3 Tested sizes and results ------------------------------ .. csv-table:: "", "**Identification**" "**Point** O :math:`(\mathit{M134})` ", "" "**Constrains**", ":math:`{\sigma }_{\mathit{xx}}`, :math:`{\sigma }_{\mathit{yy}}`,, :math:`{\sigma }_{\mathit{xy}}`,,, :math:`{\sigma }_{\mathit{xz}}`, :math:`{\sigma }_{\mathit{yz}}` on lower, middle, and upper sheets" "Displacement", ":math:`\mathit{DZ}`" "**Point** B1 :math:`(\mathit{M122})` ", "" "Constraints", ":math:`{\sigma }_{\mathit{xx}}`, :math:`{\sigma }_{\mathit{yy}}`, :math:`{\sigma }_{\mathit{xy}}`, :math:`{\sigma }_{\mathit{xz}}`, :math:`{\sigma }_{\mathit{yz}}` on lower, middle and upper sheets" +------------------+-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ |**Identification** | +------------------+-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ |Point O |:math:`(\mathit{M134})`|:math:`{N}_{\mathit{xx}}`, :math:`{N}_{\mathit{yy}}`, :math:`{N}_{\mathit{xy}}`, :math:`{M}_{\mathit{xx}}`, :math:`{M}_{\mathit{yy}}`,, :math:`{M}_{\mathit{xy}}`, :math:`{T}_{x}`, :math:`{T}_{y}`| + +-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | |:math:`(\mathit{M158})`| | + + + .. image:: images/Object_1664.svg + | | | :width: 17 | + + + :height: 24 + | | | | + + +, + | | | .. image:: images/Object_1670.svg | + + + :width: 17 + | | | :height: 24 | + + + + | | | | + +-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | |:math:`(\mathit{M132})`| | + + + .. image:: images/Object_1662.svg + | | | :width: 17 | + + + :height: 24 + | | | | + + +, + | | | .. image:: images/Object_1667.svg | + + + :width: 17 + | | | :height: 24 | + + + + | | | | + +-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | |:math:`(\mathit{M156})`| | + + + .. image:: images/Object_1058.svg + | | | :width: 17 | + + + :height: 24 + | | | | + + +, + | | | .. image:: images/Object_1059.svg | + + + :width: 17 + | | | :height: 24 | + + + + | | | | +------------------+-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ |Point A |:math:`(\mathit{M1})` |:math:`{N}_{\mathit{xx}}`, :math:`{N}_{\mathit{yy}}`, :math:`{N}_{\mathit{xy}}`, :math:`{M}_{\mathit{xx}}`, :math:`{M}_{\mathit{yy}}`,, :math:`{M}_{\mathit{xy}}`, :math:`{T}_{x}`, :math:`{T}_{y}`| +------------------+-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ |Point B |:math:`(\mathit{M266})`|:math:`{N}_{\mathit{xx}}`, :math:`{N}_{\mathit{yy}}`, :math:`{N}_{\mathit{xy}}`, :math:`{M}_{\mathit{xx}}`, :math:`{M}_{\mathit{yy}}`,, :math:`{M}_{\mathit{xy}}`, :math:`{T}_{x}`, :math:`{T}_{y}`| +------------------+-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +------------------+-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ |**Identification** | +------------------+-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ |Point C |:math:`(\mathit{M288})`|:math:`{N}_{\mathit{xx}}`, :math:`{N}_{\mathit{yy}}`, :math:`{N}_{\mathit{xy}}`, :math:`{M}_{\mathit{xx}}`, :math:`{M}_{\mathit{yy}}`,, :math:`{M}_{\mathit{xy}}`, :math:`{T}_{x}`, :math:`{T}_{y}`| +------------------+-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ |Point D |:math:`(\mathit{M23})` |:math:`{N}_{\mathit{xx}}`, :math:`{N}_{\mathit{yy}}`, :math:`{N}_{\mathit{xy}}`, :math:`{M}_{\mathit{xx}}`, :math:`{M}_{\mathit{yy}}`,, :math:`{M}_{\mathit{xy}}`, :math:`{T}_{x}`, :math:`{T}_{y}`| +------------------+-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ |Point B1 |:math:`(\mathit{M122})`|:math:`{N}_{\mathit{xx}}`, :math:`{N}_{\mathit{yy}}`, :math:`{N}_{\mathit{xy}}`, :math:`{M}_{\mathit{xx}}`, :math:`{M}_{\mathit{yy}}`,, :math:`{M}_{\mathit{xy}}`, :math:`{T}_{x}`, :math:`{T}_{y}`| + +-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | |:math:`(\mathit{M146})`|:math:`{N}_{\mathit{xx}}`, :math:`{N}_{\mathit{yy}}`, :math:`{N}_{\mathit{xy}}`, :math:`{M}_{\mathit{xx}}`, :math:`{M}_{\mathit{yy}}`,, :math:`{M}_{\mathit{xy}}`, :math:`{T}_{x}`, :math:`{T}_{y}`| +------------------+-----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +------------------+----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ |**Identification** | +------------------+----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ |Point D1 |:math:`(\mathit{M11})`| | + + + .. image:: images/Object_1727.svg + | | | :width: 17 | + + + :height: 24 + | | | | + + +, + | | | .. image:: images/Object_481.svg | + + + :width: 17 + | | | :height: 24 | + + + + | | | | + +----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | |:math:`(\mathit{M14})`|:math:`{N}_{\mathit{xx}}`, :math:`{N}_{\mathit{yy}}`, :math:`{N}_{\mathit{xy}}`, :math:`{M}_{\mathit{xx}}`, :math:`{M}_{\mathit{yy}}`,, :math:`{M}_{\mathit{xy}}`, :math:`{T}_{x}`, :math:`{T}_{y}`| +------------------+----------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ notes --------- The reference value of the displacement at point :math:`O` is obtained by projecting the displacement calculated for modeling D into the rotated coordinate system (the displacement for modeling D being vertical, the new displacement is a function of the projection of the axis :math:`Z`). In the local coordinate system, the projection of the :math:`Z` axis is as follows: .. image:: images/Object_1031.svg :width: 17 :height: 24 .. _RefImage_Object_1031.svg: , with .. image:: images/Object_1032.svg :width: 17 :height: 24 .. _RefImage_Object_1032.svg: and .. image:: images/Object_1033.svg :width: 17 :height: 24 .. _RefImage_Object_1033.svg: On the other hand, the expression for the sine pressure in the rotated coordinate system becomes: .. image:: images/Object_1081.svg :width: 17 :height: 24 .. _RefImage_Object_1081.svg: