Manual for WANDS 2.1 Wavenumber Domain Software for Solids ...

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3.2.4 BEAM: PLATE: NODECOORD: . . . . . . . . . . . . . . . . 82 3.2.5 OUTFEM: COUPLING: . . . . . . . . . . . . . . . . . . . . . 84 3.2.6 OUTFEM: END: . . . . . . . . . . . . . . . . . . . . . . . . . 88 3.2.7 Summary output data blocks . . . . . . . . . . . . . . . . . . 88 3.3 Matrix files . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 88 3.3.1 Matrix files for plate subsystems . . . . . . . . . . . . . . . . 90 3.3.2 Matrix files for solid subsystems . . . . . . . . . . . . . . . . 91 3.3.3 Matrix files for plate-solid coupling . . . . . . . . . . . . . . . 92 3.3.4 Other matrix files . . . . . . . . . . . . . . . . . . . . . . . . 93 3.4 Solution output . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93 4 Example of multidomain coupling 96 4.1 Topology . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96 4.2 Input file . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 98 4.3 System matrix . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107 4.4 Output files . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107 4.4.1 Matrix files . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107 4.4.2 Topology file . . . . . . . . . . . . . . . . . . . . . . . . . . . 110 4.4.3 Output solution files . . . . . . . . . . . . . . . . . . . . . . . 114 5 Some tutorial examples 119 5.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 119 5.2 Prerequisites . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 119 5.3 Multitest example . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120 5.3.1 Have a quick look at the configuration . . . . . . . . . . . . . 120 5.3.2 Run WANDS . . . . . . . . . . . . . . . . . . . . . . . . . . . 120 3
5.3.3 Examine the system matrix . . . . . . . . . . . . . . . . . . . 121 5.4 Pipe example without fluid . . . . . . . . . . . . . . . . . . . . . . . 121 5.4.1 The pipe mesh . . . . . . . . . . . . . . . . . . . . . . . . . . 122 5.4.2 Run WANDS . . . . . . . . . . . . . . . . . . . . . . . . . . . 122 5.4.3 Import and save FE-matrices . . . . . . . . . . . . . . . . . . 122 5.4.4 Calculate dispersion relations . . . . . . . . . . . . . . . . . . 123 5.4.5 Show modeshape . . . . . . . . . . . . . . . . . . . . . . . . . 124 5.4.6 Point mobility in an infinite pipe . . . . . . . . . . . . . . . . 125 5.5 Fluid filled pipe . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130 5.5.1 Dispersion plot . . . . . . . . . . . . . . . . . . . . . . . . . . 131 5.6 External fluid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 133 5.6.1 Improving conditioning . . . . . . . . . . . . . . . . . . . . . 133 5.6.2 Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 134 4
Page 1 and 2: Manual for WANDS 2.1 Wavenumber Dom
Page 3 and 4: UNIVERSITY OF SOUTHAMPTON INSTITUTE
Page 6 and 7: Contents 1 Introduction 5 1.1 Theor
Page 10 and 11: Chapter 1 Introduction Warnings! It
Page 12 and 13: • Coupling between plate finite e
Page 14 and 15: Chapter 2 Input file WANDS is writt
Page 16 and 17: *INSYS: SOLTYPE: ** double loop, be
Page 18 and 19: *INSYS: MODELS: BE-FLUID: block. Th
Page 20 and 21: means that there is a submodel ”S
Page 22 and 23: 2.2 INFEM: The input data for diffe
Page 24 and 25: 3 2 Element type 2 1 5 4 3 Element
Page 26 and 27: *INFEM: SOLID: MAT: ISO: S2 Entry n
Page 28 and 29: 7, 5, 1, 0, 0 ,restrains the local
Page 30 and 31: INFEM: SOLID: FORCE: To define a fo
Page 32 and 33: 2.2.2 INFEM: PLATE: The indata bloc
Page 34 and 35: Example: *INFEM: PLATE: MAT: ISO: E
Page 36 and 37: *INFEM: PLATE: RESTR: 1 = restraine
Page 38 and 39: 12, 1, 3, 1.22, 0.66 12, 2, 4, 1.0,
Page 40 and 41: 2.2.3 INFEM: FLUID: For a fluid sub
Page 42 and 43: . . . Note! Each line must have the
Page 44 and 45: 2.3 INBEM: 2.3.1 INBEM: SOLID: INBE
Page 46 and 47: INBEM: SOLID: EDGE: To suppress ref
Page 48 and 49: Note! It can sometimes be useful to
Page 50 and 51: In each row: • The first entry gi
Page 52 and 53: 0, 0 Type 1:st digit 2:nd digit Int
Page 54 and 55: INBEM: FLUID: NODES: This specifies
Page 56 and 57: *INBEM: FLUID: BC: F2 5, 0, 0, 1, 0
Page 58 and 59:
The current block specifies for whi
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• FE-Plate model and BE-Fluid mod
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writes the lagrange multipliers for
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Entry number Entry name 1 Plate ele
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Consider figure 2.4. The lines with
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*INCOUP: FE-SOLID: FE-FLUID: S1F1 1
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X 6 5 7 Z 3 2 4 8 (2.3, 4.6) 2 Y Fi
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If some numbers are complex the ord
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Submodel S1 Submodel S2 3 2 1 Figur
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where t a 3 is the traction vector
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Chapter 3 Output files 3.1 Types of
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SOLID: SIZE: This, first block, has
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Example: *OUTFEM: SOLID: ELETOP: S1
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Entry number Entry name 1 Number of
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0.15 0.1 0.05 0 −0.05 −0.05 0 0
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*OUTFEM: BEAM: PLATE: NODECOORD: P2
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Entry number Entry name *OUTFEM: CO
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Note! This data block is basically
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OUTFEM: SOLID: PLATE: BEAM: COUPLIN
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The matrices written as outputs are
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3.3.4 Other matrix files Currently
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Entry Description 1 Frequency 2 Wav
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1 2 3 1 4 2 3 1 2 3 4 1 2 3 4 1 2 3
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COUPLING PLATE SOLID P1S1 P1 S1 1,
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1, 2, 4 2, 1, 1 *INFEM: PLATE: END:
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** Topology 2 noded elements 1, 2 2
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4, 3 3, 2 2, 1 *INBEM: FLUID: END:
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4.3 System matrix ⎡ ⎢ ⎣ HF1
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12 11 -543.7638734913397562178994E-
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0 10 20 30 40 50 H1 G1 C1p C1s I2p
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4, 0.020, 0.030 *OUTFEM: SOLID: ELE
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2 22.4371736726148144767695E-09 11.
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2 -5.8181333191448287529076E-06 9.2
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Chapter 5 Some tutorial examples 5.
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5.3.3 Examine the system matrix Whe
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which imports all matrices with one
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A mode plotting routine that reads
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point mobility magnitude [dB] −70
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point mobility magnitude [dB] −70
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M1ur=read_mat_new(’c:\WANDSoutput
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5.6 External fluid 5.6.1 Improving
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1 -3.2561925953759210741745E-03 107
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than the wavenumber for freely prop
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Index air, 37 beam plate connected,
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output, 74 solid-plate coupling, 84
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Manual for WANDS 2.1 Wavenumber Domain Software for Solids ...

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