$ TEST No IC 1 - TAPERED MEMBRANE END LOAD $ $ Short description: $ For case 1 the system is generated with an element mesh of 2x2 quadrilateral $ elements. In the subsequent cases the number of elements are doubled, $ up to case 6, which then has 64x64 quadrilateral elements. The calculation $ is made with the program ASE. $ $ Results: $ - Comparative value Sxx in point B: Desired value 61.3 MPa for 8x8 elements, 8-node $ quad-element of second order and 16-node quad-element of third order $ obtained values (from GRAF: in the cut 1 mm next to the node): $ Standard element non-conforming $ (QTYP 0) (QTYP 1) $ 2x2: 67.73 MPa 65.91 MPa $ 4x4: 62.53 MPa 62.37 MPa $ 8x8: 61.57 MPa 61.66 MPa $ 16x16: 61.39 MPa 61.42 MPa $ 32x32: 61.35 MPa 61.36 MPa $ 64x64: 61.34 MPa 61.34 MPa $ $ - further results of the ASE-calculation: values in MPa $ (from GRAF: in the cut 1 mm next to the node) $ Standard element (QTYP 0) $ Point A Point B $ Sxx Syy Sxy Sxx Syy Sxy $ ---------------------------------------------------- $ 2x2 elem. 49.94 -4.87 0.19 67.76 0.48 0 $ 4x4 elem. 38.73 -5.43 -0.943 62.53 -6.13 0 $ 8x8 elem. 29.31 -4.62 -1.373 61.57 -8.12 0 $ 16x16 elem. 21.8 -3.69 -1.373 61.39 -8.65 0 $ 32x32 elem. 16.04 -2.86 -1.183 61.35 -8.78 0 $ 64x64 elem. 11.72 -2.16 -0.937 61.34 -8.81 0 $ $ Non-conforming element (QTYP 1) $ Point A Point B $ Sxx Syy Sxy Sxx Syy Sxy $ ---------------------------------------------------- $ 2x2 elem. 48.37 -2.19 -3.56 65.91 -1.92 0 $ 4x4 elem. 37.29 -1.75 -1.76 62.37 -7.73 0 $ 8x8 elem. 27.97 -1.13 -0.81 61.66 -8.54 0 $ 16x16 elem. 20.80 -0.73 -0.33 61.42 -8.75 0 $ 32x32 elem. 15.32 -0.49 -0.11 61.36 -8.80 0 $ 64x64 elem. 11.20 -0.34 -0.25 61.34 -8.81 0 $ $ Desired values: $ 8x8 8-node 16.7 -0.61 -0.56 61.3 -8.97 0 $ 8x8 16-node 9.81 -1.11 -0.666 61.3 -8.82 0 $ $ - Displacement of edge D - E: $ ASE-calculation: max Vx = 1.44 mm at midpoint of the edge case 3 $ (8x8 elements) up to case 6 (64x64 elements) $ Desired value: Vx = 1.44 mm all meshes +PROG GENF urs:1 HEAD TEST No IC1 - TAPERED MEMBRANE END LOAD TXB Element mesh:2x2 elements SYST FRAM MAT 1 E 210e+6 MUE 0.3 NODE 1 0.0 -2.0 2 0.0 0.0 3 0.0 2.0 4 4.0 1.0 5 4.0 -1.0 6 2.0 -1.5 7 2.0 0.0 8 2.0 1.5 9 4.0 0.0 QUAD 1 1 2 7 6 1 T 0.1 2 2 3 8 7 1 T 0.1 3 7 8 4 9 1 T 0.1 4 6 7 9 5 1 T 0.1 NODE 1 FIX px 2 FIX zp 3 FIX px END +PROG ASE urs:2 HEAD TEST No IC1 - TAPERED MEMBRANE END LOAD TXB Element mesh: 2x2 elements CTRL QTYP 1 LC 1 LILO 4 0 0 0 0 -2 0 PXX 10e+3 END +PROG WING urs:3 HEAD CTRL MEAS 2D $ BATCH-AUSGABE DES INTERAKTIVEN GRAF; PAGE FIRS 11 UNIO 0 UNII 0 MOVE SIZE TYPE LP SC 0 W - H - MARG FULL FORM STAN HLEG 2.50000 $$ WLEG 0 SCAL - SCHH H1 .21765 H2 .21765 H3 .24500 H4 .40000 $$ H5 .17150 H6 .17150 H7 .17150 HS .56943 MS 0 $$ FACW 1.00000 REVI 100.000 MINH .15000 MINW .60000 COLO C1 1001 C2 3001 C3 6001 C4 8001 C5 5002 C6 7001 $$ C7 7502 C8 7501 C10 6004 C11 3101 C12 3301 C13 4001 $$ C14 2001 C15 5006 C16 1001 FILL TYPE COLO FROM - TO - INC - NUMB 10 FILL TYPE 1 FROM - TO 13 INC 1 FILL TYPE 2 FROM - TO 4 INC 1 FILL TYPE 3 FROM - TO 14 INC 1 FILL TYPE 4 FROM - TO 7 INC 1 FILL TYPE 5 FROM - TO 12 INC 1 FILL TYPE 6 FROM - TO 3 INC 1 FILL TYPE 7 FROM - TO 5 INC 1 FILL TYPE 8 FROM - TO 6 INC 1 FILL TYPE 9 FROM - TO 2 INC 1 FILL TYPE 10 FROM - TO 11 INC 1 GRP NUMB (0 1023 1) OPTI YES ; MOVE GRP NUMB $ZUSA OPTI YES GRP NUMB OPTI ETYP (0 1023 1) FULL - $GRP NUMB SBRI OPTI NO GRP NUMB KINE OPTI FULL GDIV 1000 BOX LC NO 1 T 10.00000E+09 DESI 1 VIEW TYPE STAN X 0 Y 0 Z 1.00000 AXIS NEGY ROTA 0 PERS A INFI BX 0 BY 0 BZ 0 ANGL 99.0000 VISI HIDD NO DMAX -10.0000000E+11 DMIN 10.0000000E+11 DEFO TYPE NO STRU NUME 0 NUMN 1.00000 MARK 0 MFIX 5.00000 QUAD TYPE T UNIT 1.00000 SCHH .40000 LOAD TYPE FULL UNIT -2.50000 LC NO 1 T 10.00000E+09 DESI 1 QUAD TYPE SXM UNIT 1.00000 SCHH .40000 STYP NODE MOVE 0.001 2. DRAW 0.001 -2. DTYP ZZ SECT SXM ND 2 MOVE 0.001 2. DRAW 0.001 -2. DTYP ZZ SECT SYM ND 2 MOVE 0.001 2. DRAW 0.001 -2. DTYP ZZ SECT TXYM ND 3 MOVE 3.999 2. DRAW 3.999 -2. DTYP ZZ SECT UX ND 2 END $------------------------------------------------------------------------------- +PROG GENF urs:4 HEAD TEST No IC1 - TAPERED MEMBRANE END LOAD TXB Element mesh: 4x4 elements SYST FRAM MAT 1 E 210e+6 MUE 0.3 NODE 41 0.0 -2.0 1 0.0 2.0 5 4.0 1.0 45 4.0 -1.0 MESH 41 1 5 45 4 4 1 T1 0.1 NODE 1 FIX px 11 FIX px 21 FIX zp 31 FIX px 41 FIX px END +PROG ASE urs:5 HEAD TEST No IC1 - TAPERED MEMBRANE END LOAD TXB Element mesh: 4x4 elements CTRL QTYP 1 LC 2 LILO 5 0 0 0 0 -2 0 PXX 10e+3 END +PROG WING urs:6 HEAD $ BATCH-AUSGABE DES INTERAKTIVEN GRAF; CTRL MEAS 2D PAGE FIRS 11 UNIO 0 UNII 0 MOVE SIZE TYPE LP SC 0 W - H - MARG FULL FORM STAN HLEG 2.50000 $$ WLEG 0 SCAL - SCHH H1 .21765 H2 .21765 H3 .24500 H4 .40000 $$ H5 .17150 H6 .17150 H7 .17150 HS .56943 MS 0 $$ FACW 1.00000 REVI 100.000 MINH .15000 MINW .60000 COLO C1 1001 C2 3001 C3 6001 C4 8001 C5 5002 C6 7001 $$ C7 7502 C8 7501 C10 6004 C11 3101 C12 3301 C13 4001 $$ C14 2001 C15 5006 C16 1001 FILL TYPE COLO FROM - TO - INC - NUMB 10 FILL TYPE 1 FROM - TO 13 INC 1 FILL TYPE 2 FROM - TO 4 INC 1 FILL TYPE 3 FROM - TO 14 INC 1 FILL TYPE 4 FROM - TO 7 INC 1 FILL TYPE 5 FROM - TO 12 INC 1 FILL TYPE 6 FROM - TO 3 INC 1 FILL TYPE 7 FROM - TO 5 INC 1 FILL TYPE 8 FROM - TO 6 INC 1 FILL TYPE 9 FROM - TO 2 INC 1 FILL TYPE 10 FROM - TO 11 INC 1 GRP NUMB (0 1023 1) OPTI YES ; MOVE GRP NUMB ADDI OPTI YES GRP NUMB OPTI ETYP (0 1023 1) FULL - $GRP NUMB SBRI OPTI NO GRP NUMB KINE OPTI FULL GDIV 1000 BOX LC NO 2 T 10.00000E+09 DESI 1 VIEW TYPE STAN X 0 Y 0 Z 1.00000 AXIS NEGY ROTA 0 PERS A INFI BX 0 BY 0 BZ 0 ANGL 99.0000 VISI HIDD NO DMAX -10.0000000E+11 DMIN 10.0000000E+11 DEFO TYPE NO STRU NUME 0 NUMN 1.00000 MARK 0 MFIX 5.00000 QUAD TYPE T UNIT 1.00000 SCHH .40000 LOAD TYPE FULL UNIT -2.50000 LC NO 2 T 10.00000E+09 DESI 1 QUAD TYPE SXM UNIT 1.00000 SCHH .40000 STYP NODE MOVE 0.001 2. DRAW 0.001 -2. DTYP ZZ SECT SXM ND 2 MOVE 0.001 2. DRAW 0.001 -2. DTYP ZZ SECT SYM ND 2 MOVE 0.001 2. DRAW 0.001 -2. DTYP ZZ SECT TXYM ND 3 MOVE 3.999 2. DRAW 3.999 -2. DTYP ZZ SECT UX ND 2 END $---------------------------------------------------------------------------------- +PROG GENF urs:7 HEAD TEST No IC1 - TAPERED MEMBRANE END LOAD TXB Element mesh: 8x8 elements SYST FRAM MAT 1 E 210e+6 MUE 0.3 NODE 81 0.0 -2.0 1 0.0 2.0 9 4.0 1.0 89 4.0 -1.0 MESH 81 1 9 89 8 8 1 T1 0.1 NODE (1 31 10) FIX px 41 FIX zp (51 81 10) FIX px END +PROG ASE urs:8 HEAD TEST No IC1 - TAPERED MEMBRANE END LOAD TXB Element mesh: 8x8 elements CTRL QTYP 1 LC 3 LILO 9 0 0 0 0 -2 0 PXX 10e+3 END +PROG WING urs:9 HEAD $ BATCH-AUSGABE DES INTERAKTIVEN GRAF; CTRL MEAS 2D PAGE FIRS 11 UNIO 0 UNII 0 MOVE SIZE TYPE LP SC 0 W - H - MARG FULL FORM STAN HLEG 2.50000 $$ WLEG 0 SCAL - SCHH H1 .21765 H2 .21765 H3 .24500 H4 .40000 $$ H5 .17150 H6 .17150 H7 .17150 HS .56943 MS 0 $$ FACW 1.00000 REVI 100.000 MINH .15000 MINW .60000 COLO C1 1001 C2 3001 C3 6001 C4 8001 C5 5002 C6 7001 $$ C7 7502 C8 7501 C10 6004 C11 3101 C12 3301 C13 4001 $$ C14 2001 C15 5006 C16 1001 FILL TYPE COLO FROM - TO - INC - NUMB 10 FILL TYPE 1 FROM - TO 13 INC 1 FILL TYPE 2 FROM - TO 4 INC 1 FILL TYPE 3 FROM - TO 14 INC 1 FILL TYPE 4 FROM - TO 7 INC 1 FILL TYPE 5 FROM - TO 12 INC 1 FILL TYPE 6 FROM - TO 3 INC 1 FILL TYPE 7 FROM - TO 5 INC 1 FILL TYPE 8 FROM - TO 6 INC 1 FILL TYPE 9 FROM - TO 2 INC 1 FILL TYPE 10 FROM - TO 11 INC 1 GRP NUMB (0 1023 1) OPTI YES ; MOVE GRP NUMB ADDI OPTI YES GRP NUMB OPTI ETYP (0 1023 1) FULL - $GRP NUMB SBRI OPTI NO GRP NUMB KINE OPTI FULL GDIV 1000 BOX LC NO 3 T 10.00000E+09 DESI 1 VIEW TYPE STAN X 0 Y 0 Z 1.00000 AXIS NEGY ROTA 0 PERS A INFI BX 0 BY 0 BZ 0 ANGL 99.0000 VISI HIDD NO DMAX -10.0000000E+11 DMIN 10.0000000E+11 DEFO TYPE NO STRU NUME 0 NUMN 1.00000 MARK 0 MFIX 5.00000 QUAD TYPE T UNIT 1.00000 SCHH .20000 LOAD TYPE FULL UNIT -2.50000 LC NO 3 T 10.00000E+09 DESI 1 QUAD TYPE SXM UNIT 1.00000 SCHH .20000 STYP NODE MOVE 0.001 2. DRAW 0.001 -2. DTYP ZZ SECT SXM ND 2 MOVE 0.001 2. DRAW 0.001 -2. DTYP ZZ SECT SYM ND 2 MOVE 0.001 2. DRAW 0.001 -2. DTYP ZZ SECT TXYM ND 3 MOVE 3.999 2. DRAW 3.999 -2. DTYP ZZ SECT UX ND 2 END $---------------------------------------------------------------------------------- +PROG GENF urs:10 HEAD TEST No IC1 - TAPERED MEMBRANE END LOAD TXB Element mesh: 16x16 Elemente SYST FRAM GDIV 10000 MAT 1 E 210e+6 MUE 0.3 NODE 1601 0.0 -2.0 1 0.0 2.0 17 4.0 1.0 1617 4.0 -1.0 MESH 1601 1 17 1617 16 16 1 T1 0.1 NODE (1 701 100) FIX px 801 FIX zp (901 1601 100) FIX px END +PROG ASE urs:11 HEAD TEST No IC1 - TAPERED MEMBRANE END LOAD TXB Element mesh: 16x16 elements CTRL QTYP 1 LC 4 LILO 17 0 0 0 0 -2 0 PXX 10e+3 END +PROG WING urs:12 HEAD $ BATCH-AUSGABE DES INTERAKTIVEN GRAF; CTRL MEAS 2D PAGE FIRS 11 UNIO 0 UNII 0 MOVE SIZE TYPE LP SC 0 W - H - MARG FULL FORM STAN HLEG 2.50000 $$ WLEG 0 SCAL - SCHH H1 .21765 H2 .21765 H3 .24500 H4 .10000 $$ H5 .17150 H6 .17150 H7 .17150 HS .56943 MS 0 $$ FACW 1.00000 REVI 100.000 MINH .15000 MINW .60000 COLO C1 1001 C2 3001 C3 6001 C4 8001 C5 5002 C6 7001 $$ C7 7502 C8 7501 C10 6004 C11 3101 C12 3301 C13 4001 $$ C14 2001 C15 5006 C16 1001 FILL TYPE COLO FROM - TO - INC - NUMB 10 FILL TYPE 1 FROM - TO 13 INC 1 FILL TYPE 2 FROM - TO 4 INC 1 FILL TYPE 3 FROM - TO 14 INC 1 FILL TYPE 4 FROM - TO 7 INC 1 FILL TYPE 5 FROM - TO 12 INC 1 FILL TYPE 6 FROM - TO 3 INC 1 FILL TYPE 7 FROM - TO 5 INC 1 FILL TYPE 8 FROM - TO 6 INC 1 FILL TYPE 9 FROM - TO 2 INC 1 FILL TYPE 10 FROM - TO 11 INC 1 GRP NUMB (0 1023 1) OPTI YES ; MOVE GRP NUMB ADDI OPTI YES GRP NUMB OPTI ETYP (0 1023 1) FULL - $GRP NUMB SBRI OPTI NO GRP NUMB KINE OPTI FULL GDIV 1000 BOX LC NO 4 T 10.00000E+09 DESI 1 VIEW TYPE STAN X 0 Y 0 Z 1.00000 AXIS NEGY ROTA 0 PERS A INFI BX 0 BY 0 BZ 0 ANGL 99.0000 VISI HIDD NO DMAX -10.0000000E+11 DMIN 10.0000000E+11 DEFO TYPE NO STRU NUME 0 NUMN 1.00000 MARK 0 MFIX 5.00000 QUAD TYPE T UNIT 1.00000 SCHH .10000 LOAD TYPE FULL UNIT -2.50000 LC NO 4 T 10.00000E+09 DESI 1 QUAD TYPE SXM UNIT 1.00000 SCHH .10000 STYP NODE MOVE 0.001 2. DRAW 0.001 -2. DTYP ZZ SECT SXM ND 2 MOVE 0.001 2. DRAW 0.001 -2. DTYP ZZ SECT SYM ND 2 MOVE 0.001 2. DRAW 0.001 -2. DTYP ZZ SECT TXYM ND 3 MOVE 3.999 2. DRAW 3.999 -2. DTYP ZZ SECT UX ND 2 END $-------------------------------------------------------------------------------- +PROG GENF urs:13 HEAD TEST No IC1 - TAPERED MEMBRANE END LOAD TXB Element mesh: 32x32 elements SYST FRAM GDIV 50000 MAT 1 E 210e+6 MUE 0.3 GAM 68.67 NODE 3201 0.0 -2.0 1 0.0 2.0 33 4.0 1.0 3233 4.0 -1.0 MESH 3201 1 33 3233 32 32 1 T1 0.1 NODE (1 1501 100) FIX px 1601 FIX zp (1701 3201 100) FIX px END +PROG ASE urs:14 HEAD TEST No IC1 - TAPERED MEMBRANE END LOAD TXB Element mesh: 32x32 elements CTRL QTYP 1 LC 5 LILO 33 0 0 0 0 -2 0 PXX 10e+3 END +PROG WING urs:15 HEAD $ BATCH-AUSGABE DES INTERAKTIVEN GRAF; CTRL MEAS 2D PAGE FIRS 11 UNIO 0 UNII 0 MOVE SIZE TYPE LP SC 0 W - H - MARG FULL FORM STAN HLEG 2.50000 $$ WLEG 0 SCAL - SCHH H1 .21765 H2 .21765 H3 .24500 H4 .10000 $$ H5 .17150 H6 .17150 H7 .17150 HS .56943 MS 0 $$ FACW 1.00000 REVI 100.000 MINH .15000 MINW .60000 COLO C1 1001 C2 3001 C3 6001 C4 8001 C5 5002 C6 7001 $$ C7 7502 C8 7501 C10 6004 C11 3101 C12 3301 C13 4001 $$ C14 2001 C15 5006 C16 1001 FILL TYPE COLO FROM - TO - INC - NUMB 10 FILL TYPE 1 FROM - TO 13 INC 1 FILL TYPE 2 FROM - TO 4 INC 1 FILL TYPE 3 FROM - TO 14 INC 1 FILL TYPE 4 FROM - TO 7 INC 1 FILL TYPE 5 FROM - TO 12 INC 1 FILL TYPE 6 FROM - TO 3 INC 1 FILL TYPE 7 FROM - TO 5 INC 1 FILL TYPE 8 FROM - TO 6 INC 1 FILL TYPE 9 FROM - TO 2 INC 1 FILL TYPE 10 FROM - TO 11 INC 1 GRP NUMB (0 1023 1) OPTI YES ; MOVE GRP NUMB ADDI OPTI YES GRP NUMB OPTI ETYP (0 1023 1) FULL - $GRP NUMB SBRI OPTI NO GRP NUMB KINE OPTI FULL GDIV 1000 BOX LC NO 5 T 10.00000E+09 DESI 1 VIEW TYPE STAN X 0 Y 0 Z 1.00000 AXIS NEGY ROTA 0 PERS A INFI BX 0 BY 0 BZ 0 ANGL 99.0000 VISI HIDD NO DMAX -10.0000000E+11 DMIN 10.0000000E+11 DEFO TYPE NO STRU NUME 0 NUMN 1.00000 MARK 0 MFIX 5.00000 QUAD TYPE T UNIT 1.00000 SCHH .10000 LOAD TYPE FULL UNIT -2.50000 LC NO 5 T 10.00000E+09 DESI 1 QUAD TYPE SXM UNIT 1.00000 SCHH .10000 STYP NODE MOVE 0.001 2. DRAW 0.001 -2. DTYP ZZ SECT SXM ND 2 MOVE 0.001 2. DRAW 0.001 -2. DTYP ZZ SECT SYM ND 2 MOVE 0.001 2. DRAW 0.001 -2. DTYP ZZ SECT TXYM ND 3 MOVE 3.999 2. DRAW 3.999 -2. DTYP ZZ SECT UX ND 2 END $----------------------------------------------------------------------------------- +PROG GENF urs:16 HEAD TEST No IC1 - TAPERED MEMBRANE END LOAD TXB Element mesh: 64x64 elements SYST FRAM GDIV 50000 MAT 1 E 210e+6 MUE 0.3 NODE 6401 0.0 -2.0 1 0.0 2.0 65 4.0 1.0 6465 4.0 -1.0 MESH 6401 1 65 6465 64 64 1 T1 0.1 NODE (1 3101 100) FIX px 3201 FIX zp (3301 6401 100) FIX px END +PROG ASE urs:17 HEAD TEST No IC1 - TAPERED MEMBRANE END LOAD TXB Element mesh: 64x64 elements CTRL QTYP 1 LC 6 LILO 65 0 0 0 0 -2 0 PXX 10e+3 END +PROG WING urs:18 HEAD $ BATCH-AUSGABE DES INTERAKTIVEN GRAF; CTRL MEAS 2D PAGE FIRS 11 UNIO 0 UNII 0 MOVE SIZE TYPE LP SC 0 W - H - MARG FULL FORM STAN HLEG 2.50000 $$ WLEG 0 SCAL - SCHH H1 .21765 H2 .21765 H3 .24500 H4 .05000 $$ H5 .17150 H6 .17150 H7 .17150 HS .56943 MS 0 $$ FACW 1.00000 REVI 100.000 MINH .15000 MINW .60000 COLO C1 1001 C2 3001 C3 6001 C4 8001 C5 5002 C6 7001 $$ C7 7502 C8 7501 C10 6004 C11 3101 C12 3301 C13 4001 $$ C14 2001 C15 5006 C16 1001 FILL TYPE COLO FROM - TO - INC - NUMB 10 FILL TYPE 1 FROM - TO 13 INC 1 FILL TYPE 2 FROM - TO 4 INC 1 FILL TYPE 3 FROM - TO 14 INC 1 FILL TYPE 4 FROM - TO 7 INC 1 FILL TYPE 5 FROM - TO 12 INC 1 FILL TYPE 6 FROM - TO 3 INC 1 FILL TYPE 7 FROM - TO 5 INC 1 FILL TYPE 8 FROM - TO 6 INC 1 FILL TYPE 9 FROM - TO 2 INC 1 FILL TYPE 10 FROM - TO 11 INC 1 GRP NUMB (0 1023 1) OPTI YES ; MOVE GRP NUMB ADDI OPTI YES GRP NUMB OPTI ETYP (0 1023 1) FULL - $GRP NUMB SBRI OPTI NO GRP NUMB KINE OPTI FULL GDIV 1000 BOX LC NO 6 T 10.00000E+09 DESI 1 VIEW TYPE STAN X 0 Y 0 Z 1.00000 AXIS NEGY ROTA 0 PERS A INFI BX 0 BY 0 BZ 0 ANGL 99.0000 VISI HIDD NO DMAX -10.0000000E+11 DMIN 10.0000000E+11 DEFO TYPE NO STRU NUME 0 NUMN 1.00000 MARK 0 MFIX 5.00000 QUAD TYPE T UNIT 1.00000 SCHH .10000 LOAD TYPE FULL UNIT -2.50000 LC NO 6 T 10.00000E+09 DESI 1 QUAD TYPE SXM UNIT 1.00000 SCHH .05000 STYP NODE MOVE 0.001 2. DRAW 0.001 -2. DTYP ZZ SECT SXM ND 2 MOVE 0.001 2. DRAW 0.001 -2. DTYP ZZ SECT SYM ND 2 MOVE 0.001 2. DRAW 0.001 -2. DTYP ZZ SECT TXYM ND 3 MOVE 3.999 2. DRAW 3.999 -2. DTYP ZZ SECT UX ND 2 END