Appendix
B
Ansys source codes
Contents
B.1 Main script used . . . 121 B.1.1 1DOF , harmonic analysis with force applied . . . 121 B.1.2 1DOF , harmonic analysis with displacement applied . . . 126 B.1.3 1DOF , harmonic analysis by superposition method with
force applied,ξ no constant on the structure . . . 127 B.1.4 Displacement control . . . 131
B.1
Main script used
In this chapter the main kinds of scripts used are discussed. It will be shown the script for the simplest system: 1DOF mass/spring/damper because it is easy to understand and at the same time it is easy to extend to a complex model modifying the parameters and the model. Also it is shown the displacement control method.
B.1.1 1DOF , harmonic analysis with force applied
It gives the displacement of the mass 2, used to check the script of Matlab in Appendix A.1.1. Structural damping is used with constant damping ratio on the structure ξ of 0.02.
1 C∗∗∗
2 C∗∗∗−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− 3 C∗∗∗
4 C∗∗∗CONSTANT DAMPING RATIO, xi , CONSTANT ON ALL STRUCTURE 5 C∗∗∗ x i IS GIVEN ON THE HARMONIC ANALYSIS BY dmprat COMMAND
6 C∗∗∗ 7 C∗∗∗−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− 8 C∗∗∗ 9 FINISH 10 /CLEAR 11 /FILENAME, ’ 1DOF_xi_CONSTANT ’ 12 /TITLE , ’ 1DOF_xi_CONSTANT ’ 13 /PREP7 15 C∗∗∗∗∗∗∗∗∗∗∗∗∗ 16 C∗∗∗PARAMETERS 17 C∗∗∗∗∗∗∗∗∗∗∗∗∗ 18 FRQ1 = 0 ! FREQUENCY START 19 FRQ2 = 10 ! FREQUENCY STOP 20 NS = 10 ! FREQUENCY SUDDIVISION
21 NM = 1 ! NUMBER OF MODE SHAPE TO BE USED 23 ! MASSES 24 m2 = 10 ! [ kg ] 26 ! STIFFNESS 27 k1 = 10000 ! [N/m] 29 !DAMPING 30 c1 = 0 . 0 2 ! [N∗(m/S ) ^(−1) ] 32 C∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗ 33 C∗∗∗ELEMENT TYPE 34 C∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗ 35 ET, 1 , 2 1 , 0 , 0 , 0 !MASS 36 ET, 2 , COMBIN37, , , 1 ! SPRING
38 C∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗ 39 C∗∗∗REAL COSTANT 40 C∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗ 41 ! MASSES
42 R, 1 , m2 44 ! STIFFNESS 45 R, 1 1 , k1 47 C∗∗∗∗∗∗∗∗∗ 48 C∗∗∗MODELL 49 C∗∗∗∗∗∗∗∗∗ 50 !NODE 51 N, 1 52 N, 2 , 1 54 !MASS ELEMENT 55 TYPE, 1 56 REAL, 1 57 E, 2 59 ! SPRING ELEMENT 60 TYPE, 2 61 REAL, 1 1 62 E, 1 , 2 64 C∗∗∗∗∗∗∗∗∗∗∗∗∗∗ 65 C∗∗∗CONSTRAINTS 66 C∗∗∗∗∗∗∗∗∗∗∗∗∗∗
67 CERIG, 1 , 2 ,UY ! UY DOF RESTRAINED 68 CERIG, 1 , 2 ,UZ ! UZ DOF RESTRAINED 69 D, 1 ,ALL ! FRAME 70 FINISH 72 C∗∗∗∗∗∗∗∗∗∗∗∗ 73 C∗∗∗SOLUTION 74 C∗∗∗∗∗∗∗∗∗∗∗∗ 75 !−−−−−−−−−−−−−−−−−−−−−−−−−−− 76 ! FIRST STEP MODAL ANALYSIS 77 !−−−−−−−−−−−−−−−−−−−−−−−−−−−
78 /SOLU
79 ANTYPE,MODAL ! MODAL ANALYSIS 80 MODOPT,LANB,NM ! EXTRACTION METHOD 81 SOLVE
82 FINISH 83 /SOLU 84 FINISH
85 /POST1 ! SAVE NATURAL FREQUENCIES AS FILE .TXT 86 /OUTPUT, 1 DOF_xi_CONSTANT_FULL_NaturalFrequency , t x t 87 SET, LIST
88 /OUTPUT 89 FINISH
91 !−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− 92 ! SECONDS STEP HARMONIC ANALYSIS 93 !−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− 94 /SOLU
95 ANTYPE,HARMIC ! HARMONIC ANALYSIS 96 HROPT, FULL ! FULL METHOD
97 HARFRQ, FRQ1, FRQ2 ! FREQUENCY RANGE 98 NSUBST, NS ! NUMBER OF SUBSTEP 99 DMPRAT, C1 ! DAMPING
100 KBC, 1 ! LOAD IS STEP CHANGED 101 C∗∗∗∗∗∗∗ 102 C∗∗∗ Load 103 C∗∗∗∗∗∗∗ 104 F , 2 ,FX, 1 105 SOLVE 106 FINISH 108 C∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗ 109 C∗∗∗ POST−PROCESSING 110 C∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗ 111 /POST26 112 !REAL PART 113 NSOL, 2 , 2 ,U,X
114 STORE,MERGE ! STORE UX OF NODE 2 115 ∗GET, size , VARI, , NSETS
116 ∗dim ,M2_RP, array , s i z e ! CREATE ARRAY PARAMETER 117 ∗dim , M2_IP, array , s i z e ! CREATE ARRAY PARAMETER
118 VGET,M2_RP, 2 , , 0 ! STORE REAL PART OF VARIABLE 2 INTO M2_RP
119 VGET, M2_IP, 2 , , 1 ! STORE IMAGINARY PART OF VARIABLE 2 M2_IP
121 ∗CREATE, ansuitmp ! SAVE M2_RP AS FILE .TXT 122 ∗CFOPEN,M2_RP, t x t 123 ∗VWRITE,M2_RP( 1 ) 124 ( F15 . 1 2 ) 125 ∗CFCLOS 126 ∗END 127 /INPUT, ansuitmp
129 ∗CREATE, ansuitmp ! SAVE M2_IP AS FILE .TXT 130 ∗CFOPEN, M2_IP, t x t 131 ∗VWRITE, M2_IP( 1 ) 132 ( F15 . 1 2 ) 133 ∗CFCLOS 134 ∗END 135 /INPUT, ansuitmp
137 PARSAV, ALL, Parameters_1DOF_xi_CONSTANT ,TXT
139 ! SAVE ALL THE PARAMETERS IN MEMORY,
140 ! WHICH CAN BE LOADED INTO ANOTHER FILE BY: 141 ! PARRES, , Parameters_1DOF_xi_CONSTANT ,TXT
B.1.2 1DOF , harmonic analysis with displacement applied
The only differences with the previous section, Appendix B.1.1, are the first row after /P REP 7 where the input for the system is resumed and the part concern the harmonic response which is shown here.
1 /PREP7
2 PARRES, ,X.TXT
3 !RESUME PARAMETER FROM THE SYSTEM 4 . . .
5 !−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− 6 ! SECONDS STEP HARMONIC ANALYSIS 7 !−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− 8 ∗DIM,FRQ,ARRAY, NS ! CREATE FRQ ARRAY 9 ∗DO, n ,FRQ1+1,NS
10 FRQ( n ) = n 11 ∗ENDDO
13 /SOLU
14 ∗Do , IJK , 1 , NS
15 ANTYPE,HARM ! HARMONIC ANALYSIS 16 HROPT, FULL ! FULL METHOD
17 DMPRAT, x i ! DAMPING 18 HARFRQ,FRQ( IJK ) ! FREQUENCY
19 KBC, 1 ! LOAD IS STEP CHANGED
20 C∗∗∗ 21 C∗∗∗ Load 22 C∗∗∗ 23 D, 2 ,UX,X( IJK ) 24 LSWRIT 25 ∗ENDDO 26 LSSOLVE, 1 , NS 27 FINISH
B.1.3 1DOF , harmonic analysis by superposition method with force applied, ξ no constant on the structure
Contrarily to the Appendix B.1.1 the structural damping used in not constant on the structure, therefore it is applied by the material properties. Obviously, here it is constant because there is only one element, but each element can have a different material property and so different ξ. Also the harmonic analysis is solved by the superposition method.
1 C∗∗∗
2 C∗∗∗−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− 3 C∗∗∗
4 C∗∗∗CONSTANT DAMPING RATIO, xi , No CONSTANT ON ALL STRUCTURE 5 C∗∗∗ x i IS GIVEN ON THE MATERIAL PROPERTY OF THE MATERIAL 6 C∗∗∗ 7 C∗∗∗−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− 8 C∗∗∗ 9 FINISH 10 /CLEAR 11 /FILENAME, ’ 1DOF_xi_NO_CONSTANT ’ 12 /TITLE , ’ 1DOF_xi_NO_CONSTANT ’ 13 /PREP7 15 C∗∗∗∗∗∗∗∗∗∗∗∗∗ 16 C∗∗∗PARAMETERS 17 C∗∗∗∗∗∗∗∗∗∗∗∗∗ 18 FRQ1 = 0 ! FREQUENCY START 19 FRQ2 = 10 ! FREQUENCY STOP 20 NS = 10 ! FREQUENCY SUDDIVISION
21 NM = 1 ! NUMBER OF MODE SHAPE TO BE USED 23 ! MASSES
24 m2 = 10 ! [ kg ]
26 ! STIFFNESS
29 !DAMPING 30 c1 = 0 . 0 2 ! [N∗(m/S ) ^(−1) ] 32 C∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗ 33 C∗∗∗ELEMENT TYPE 34 C∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗ 35 ET, 1 , 2 1 , 0 , 0 , 0 ! MASS 36 ET, 2 , COMBIN37, , , 1 ! SPRING
38 C∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗ 39 C∗∗∗REAL COSTANT 40 C∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗ 41 ! MASSES 42 R, 1 , m2 44 ! STIFFNESS 45 R, 1 1 , k1 47 C∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗ 48 C∗∗∗MATERIAL PROPERTIES 49 C∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗ 50 MP,DMPR, 1 , c1 ! DAMPING 52 C∗∗∗∗∗∗∗∗∗ 53 C∗∗∗MODELL 54 C∗∗∗∗∗∗∗∗∗ 55 !NODE 56 N, 1 57 N, 2 , 1 59 !MASS ELEMENT 60 TYPE, 1 61 REAL, 1 62 E, 2 64 ! SPRING ELEMENT
65 TYPE, 2 66 REAL, 1 1 67 E, 1 , 2 69 C∗∗∗∗∗∗∗∗∗∗∗∗∗∗ 70 C∗∗∗CONSTRAINTS 71 C∗∗∗∗∗∗∗∗∗∗∗∗∗∗
72 CERIG, 1 , 2 ,UY ! UY DOF RESTRAINED 73 CERIG, 1 , 2 ,UZ ! UZ DOF RESTRAINED 74 D, 1 ,ALL ! FRAME 75 FINISH 77 C∗∗∗∗∗∗∗∗∗∗∗∗ 78 C∗∗∗SOLUTION 79 C∗∗∗∗∗∗∗∗∗∗∗∗ 80 !−−−−−−−−−−−−−−−−−−−−−−−−−−− 81 ! FIRST STEP MODAL ANALYSIS 82 !−−−−−−−−−−−−−−−−−−−−−−−−−−− 83 /SOLU
84 ANTYPE,MODAL ! MODAL ANALYSIS 85 MODOPT,QRDAMP,NM ! EXTRACTION METHOD 86 MXPAND,NM ! EXPANSION
87 SOLVE 88 FINISH 89 /SOLU 90 FINISH
91 /POST1 ! SAVE NATURAL FREQUENCIES AS FILE .TXT 92 /OUTPUT, 1 DOF_xi_NO_CONSTANT_NaturalFrequency , t x t
93 SET, LIST 94 /OUTPUT 95 FINISH
97 !−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− 98 ! SECONDS STEP HARMONIC ANALYSIS 99 !−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− 100 /SOLU
101 ANTYPE,HARMIC ! HARMONIC ANALYSIS
102 HROPT,MSUP ! MODE SUPERPOSITION METHOD 103 HARFRQ, FRQ1, FRQ2 ! FREQUENCY RANGE
104 NSUBST, NS ! NUMBER OF SUBSTEP 105 KBC, 1 ! LOAD IS STEP CHANGED 106 C∗∗∗∗∗∗∗ 107 C∗∗∗ Load 108 C∗∗∗∗∗∗∗ 109 F , 2 ,FX, 1 110 SOLVE 111 FINISH 113 !−−−−−−−−−−−−−−−−−−−−− 114 ! THRID STEP EXPANDED 115 !−−−−−−−−−−−−−−−−−−−−− 116 /SOLU 117 EXPASS,ON 118 NUMEXP, NS , FRQ1, FRQ2, YES 119 SOLVE 120 FINISH 122 C∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗ 123 C∗∗∗ POST−PROCESSING 124 C∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗ 125 /POST26 126 !REAL PART 127 NSOL, 2 , 2 ,U,X
128 STORE,MERGE ! STORE UX OF NODE 2 129 ∗GET, size , VARI, , NSETS
130 ∗dim ,M2_RP, array , s i z e ! CREATE ARRAY PARAMETER 131 ∗dim , M2_IP, array , s i z e ! CREATE ARRAY PARAMETER
132 VGET,M2_RP, 2 , , 0 ! STORE REAL PART OF VARIABLE 2 INTO M2_RP
133 VGET, M2_IP, 2 , , 1 ! STORE IMAGINARY PART OF VARIABLE 2 M2_IP
135 ∗CREATE, ansuitmp ! SAVE M2_RP AS FILE .TXT 136 ∗CFOPEN,M2_RP, t x t 137 ∗VWRITE,M2_RP( 1 ) 138 ( F15 . 1 2 ) 139 ∗CFCLOS 140 ∗END 141 /INPUT, ansuitmp
143 ∗CREATE, ansuitmp ! SAVE M2_IP AS FILE .TXT 144 ∗CFOPEN, M2_IP, t x t 145 ∗VWRITE, M2_IP( 1 ) 146 ( F15 . 1 2 ) 147 ∗CFCLOS 148 ∗END 149 /INPUT, ansuitmp
151 PARSAV, ALL, Parameters_1DOF_xi_CONSTANT ,TXT
153 ! SAVE ALL THE PARAMETERS IN MEMORY,
154 ! WHICH CAN BE LOADED INTO ANOTHER FILE BY: 155 ! PARRES, , Parameters_1DOF_xi_CONSTANT ,TXT
B.1.4 Displacement control
As a first step loading of the parameters, mainly the response of the point of interest obtained from the system, accessory on the assembly. As a second step an harmonic analysis for the accessory on the shaker with random input enables to find the transfer function response different for each frequency. Then, knowing the transfer function and the output of the accessory it is possible to obtain the input for the shaker. As last step a checking the input for the shaker found. This cycle can be used for all the previous models, and for more complex system adjusting the parameter and the model properly.
1 !−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−
2 ! LOAD PARAMETERS FROM THE SYSTEM 3 !−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− 4 /PREP7
5 PARRES, ,PARAMETER.TXT
6 !RESUME PARAMETER FROM THE SYSTEM MAINLY: 7 !TGP output o f t h e t a r g e t p o i n t
8 !TGP_RP REAL PART OF TGP FROM THE SYSTEM 9 ! TGP_IP IMAGINARY PART OF TGP FROM THE SYSTEM
11 !−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− 12 ! SECONDS STEP HARMONIC ANALYSIS 13 !−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− 14 ∗DIM,FRQ,ARRAY, NS
15 ∗DO, n ,FRQ1+1,NS 16 FRQ( n ) = n 17 ∗ENDDO
18 !TGP_S output o f t h e t a r g e t p o i n t input ramdom 19 ∗dim , YS, array , NS+1 ! INPUT FOR THE SHAKER RANDOM 20 ∗dim ,Y0_RP, array , 1 ! REAL PART TGP_S WITH YS 21 ∗dim , Y0_IP , array , 1 ! IMAGINARY PART TGP_S WITH YS 22 ∗dim , Y0 , array , 1 ! OUTPUT OF TGP WITH YS
23 ∗dim ,TETA, array , NS+1 ! PHASE OF TGP_S 24 ∗dim ,ALPHA, array , NS ! PHASE OF TGP
25 ∗dim ,YW, array , NS ! OUTPUT WANTED FOR TGP
26 ∗dim , Y_INP, array , NS ! INPUT FOR THE SHAKER WANTED 27 YS( 1 ) = 3 ! STARED VALUE INPUT SHAKER
28 TETA( 1 ) = ATAN(YS( 1 ) ∗SIN ( 0 . 5 ) /YS( 1 ) ∗COS( 0 . 5 ) ) 30 /SOLU
31 ∗Do , IJK , 1 , NS
32 FINISH
33 !−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− 34 ! TRANSFER FUNCTION FOR ( IJK ) th FREQUENCY 35 ! BY INITIAL CONDITION
36 !−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−
37 /SOLU
38 ANTYPE,HARM ! HARMONIC ANALYSIS 39 HROPT, FULL ! FULL METHOD
41 HARFRQ,FRQ( IJK ) ! FREQUENCY
42 KBC, 1 ! LOAD IS STEP CHANGED
43 C∗∗∗
44 C∗∗∗ Load
45 C∗∗∗
46 D, X,UY, YS( IJK ) ∗COS(TETA( IJK ) ) ,YS( IJK ) ∗SIN (TETA( IJK ) ) 47 ! X = POINT OF APPLICATION LOAD
48 SOLVE 49 FINISH 50 /POST26 51 NSOL, 2 ,TGP_S, U,Y 52 STORE,MERGE 53 VGET,Y0_RP, 2 , , 0 54 VGET, Y0_IP , 2 , , 1 55 Y0 ( 1 ) = ( ( (Y0_RP( 1 ) ) ∗∗2+(Y0_IP ( 1 ) ) ∗∗2) ∗ ∗ ( 1 / 2 ) ) 56 G = Y0 ( 1 ) /YS( IJK ) 57 !−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− 58 ! BY AMPLITUDE & PHASE OF THE TARGET POINT 59 ! FROM THE SYSTEM FIND INPUT FOR THE SHAKER 60 !−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− 61 YW( IJK ) =
( ( (TGP_RP( IJK ) ) ∗∗2+(TGP_IP( IJK ) ) ∗∗2) ∗ ∗ ( 1 / 2 ) ) ! TGP FROM THE SYSTEM
62 ALPHA( IJK ) = ATAN(TGP_IP( IJK ) /TGP_RP( IJK ) ) ! PHASE OF TGP
63 TETA( IJK+1) = ALPHA( IJK )
64 Y_FIND = YW( IJK ) /G ! INPUT FOR THE SHAKER 65 YS( IJK+1) = Y_FIND ! RANDOM INPUT FOR THE
SHAKER IJK+1 66 Y_INP( IJK ) = Y_FIND
67 FINISH
68 !−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− 69 ! VALIDATING OF THE METHOD, FIND THE TARGET 70 ! POINT RESPONSE WITH THE INPUT FOUND ABOVE 71 !−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−
73 ANTYPE,HARM ! HARMONIC ANALYSIS 74 HROPT, FULL ! FULL METHOD
75 DMPRAT, x i ! DAMPING 76 HARFRQ,FRQ( IJK ) ! FREQUENCY
77 KBC, 1 ! LOAD IS STEP CHANGED
78 C∗∗∗
79 C∗∗∗ Load
80 C∗∗∗
81 D, X,UY, Y_INP( IJK ) ∗COS(ALPHA( IJK ) ) , 82 Y_INP( IJK ) ∗SIN (ALPHA( IJK ) )
83 LSWRIT
84 ∗ENDDO
85 LSSOLVE, 1 , NS 86 FINISH
