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Introduction
Input data commands
Summary of all main commands
Detailed description of all main commands
Command line options
File formats
File formats from the NPICK program
File formats from the FEM program
File formats from Patran
Example 1: Master input data file for program NPICK
Example 2: Create a npick result file manually
Program NPICK reads modal results from a FEM program and rewrites
these results suitable for the CALCprogram.
Program NPICK shall be used when flexibilities in a mass should
be taken into consideration.
In the CALC input data file, the user models the masses as rigid masses,
after executing program NPICK the masses have become flexible.
Three files are produced by program NPICK the three files have extension
.npickr, .npickm and .npicki.
File .npickr is the file which shall be inserted in the CALC input data file.
File .npickm is a message file showing the user how program NPICK has treated
the FEM results.
Finally file .npicki contains nod numbers in the FEMmodel, if the user wants
to use the same set of nodes as in an earlier calculation.
Input data are read in free format, valid separators between the input values are <space>, <comma>, <tab>, <equal sign> or <carriage return>. The commands can be written both in lower and upper case letters. The operation of the program is controlled by the commands described below; some of the commands also need arguments.
FEM_GEOM_FILE  =  Geometry file from the FEM program. 
FEM_RES_FILE  =  Mode shape files from the FEM program. 
FEM_XMIRROR  =  Copy the FEMmodel in a yzplane. 
FEM_YMIRROR  =  Copy the FEMmodel in a xzplane. 
FLEX_BODY  =  Name of the mass in the runffile which shall be flexible. 
HEAD  =  Reading of header lines. 
IDEBUG  =  Definition of different levels of debug printing. 
INSERT  =  Definition of includefiles. 
MPF  =  Definition of loadcases for the calculation of Modal Participation Factor. 
NODE_INTPL  =  Forces NPICK to interpolate in user defined nodes in the FEM results. 
NPICK_FILE  =  Name of NPICK result file. 
ORIGO_CALC_FEM  =  Distance between the origin in the CALCmodel and the FEMmodel. 
PASS_AREA  =  Defines the area where the passengers are located (if FLEX_BODY is a carbody of a vehicle). 
PASS_MASS  =  The weight of all passengers (if FLEX_BODY is a carbody of a vehicle). 
PASS_MODEL  =  Type of model to be used for the passengers (if FLEX_BODY is a carbody of a vehicle). 
READ_RUNf  =  Name of the runffile containing the vehicle model. 
REL_DAMP  =  Fraction of critical damping of the eigenfrequencies . 
ROT_CALC_FEM  =  Rotation of the coordinate system between the CALCmodel and the FEMmodel. 
SCALE_CALC_FEM  =  Scale factor between the CALCmodel and the FEMmodel. 
STOP  =  Stops further input data reading. 
TOL_NODE_DMIN  =  Sets the node min distance selection tolerance. 
TOL_NODE_DMAX  =  Sets the node max distance selection tolerance. 
TOL_NODE_LMIN  =  Sets the min value of the shape functions of the tetrahedron. 
TOL_NODE_LMAX  =  Sets the max value of the shape functions of the tetrahedron. 
fem_geom_type  =  Type of FEMdata to be read.
For the moment "Patran" is the only available format.
When fem_geom_type is equal to "Patran",
program NPICK expects to read a Patran Neutral File. (ANSYS nodefiles can be translated into PATRAN format, with program "a2p_geom". Program "a2p_geom" is an interactive program which starts by giving command "a2p_geom" in a terminal window.) 
filename  =  The name of the Patran Neutral File. 
fem_res_type  =  Type of FEMdata to be read.
For the moment "Patran" is the only available format.
When fem_geom_type is equal to "Patran",
program NPICK expects to read a Patran Nodal Results Files. (ANSYS nodedisplacement resultfiles can be translated into PATRAN format, with program "a2p_disp". Program "a2p_disp" is an interactive program which starts by giving command "a2p_disp" in a terminal window.) 
filename  =  The names of the Patran Nodal Results Files. Number of files defines how many eigenmodes that will be taking into consideration. 
The name of the mass which shall be supplied with flexible modes. The name refers to the mass defined in READ_RUNf.
ihead  =  Number of header line (Maximum 10). 
text  =  The header line. 
If FEM_GEOM_FILE equals "Patran", will the first header line be obtained from the Patran Neutral File.
IDEBUG= db_levelDefinition of different levels of debug printing.
0  =  No debugging information is written. 
1  =  Write the memory dump to file npick.out. 
2  =  Write the memory dump to file npick.out, and debugging text on standard output, showing how program NPICK works. If a tetrahedron not can be created, the debugging text might help you understanding why NPICK fails. 
INSERT= ins_file
Redirects input reading to file ins_file.
After reading EOF on ins_file, the reading will continue with
next command in current input data file.
Declared Character*132 Default= Blank
Definition of loadcases for the calculation of Modal Participation Factor.
Defining a number of load cases for the Modal Participation Factors,
helps the user to characterize different modes of vibration in the flexible body.
Each loadcase is given an unique name in order to easier identify the load case
in the printing in the message file.
Please look in the example below in order to get an idea
of how different modes of vibration in the flexible body can be described by
load cases.
Up to 10 load cases can be defined in the input data file.
For each load case up to 10 couplings can be defined to describe the load case.
If MPF is defined in the input data file and acceleration points also have been
defined in the READ_RUNffile, then automatically MCF also will be written
to the message file.
MCF stands for Modal Contribution Factor, and gives information about how large
amplitudes different modes of vibrations have in the acceleration points.
If MCF has a big value in one direction it indicates that the ride comfort will
be bad, when the actual mode of vibration is excited.
MPF and MCF was introduced by
Pelle Carlbom, Department of Vehicle Engineering, Royal Institute of Technology, Sweden.
in his doctoral thesis Carbody and Passengers in Rail Vehicle Dynamics,
TRITAFKT2000:48, ISSN 1103470X, ISRN KTH/FKT/D00/48SE.
input data parameters= lc_name*24, c_name(1), xf(1),yf(1),zf(1),ff(1),kf(1),pf(1), c_name(2), xf(2),yf(2),zf(2),ff(2),kf(2),pf(2), . . . . . . . . . . . . . . . . . . . . c_name(n), xf(n),yf(n),zf(n),ff(n),kf(n),pf(n)
lc_name  =  The name of the actual load case. 
c_name(i)  =  Name of coupling number i which forms the load case. Maximum number of couplings are 10. 
xf(i),yf(i),zf(i),ff(i),kf(i),pf(i)  =  The amplitudes of the load case in all 6 directions. 
c_name  =  Name of the coupling or acceleration point for which the following nodes shall be used: 
inode1  =  Nod number 1 in the tetrahedron. 
inode2  =  Nod number 2 in the tetrahedron. 
inode3  =  Nod number 3 in the tetrahedron. 
inode4  =  Nod number 4 in the tetrahedron. 
N.B. The nodes must form a tetrahedron in space, otherwise will program NPICK stop with an error printout.
Name of NPICK result file.
If NPICK_FILE is undefined,
the result file will be given the name $ident.npickr.
Distance between the origin in the CALCmodel and the FEMmodel. The direction of the vector should be from the CALCmodel to the FEMmodel. The coordinates are given in the system which arose after the rotation according to ROT_CALC_FEM.
Defines the area where the passengers are located (if FLEX_BODY is a carbody of a vehicle). Command PASS_AREA reads the following arguments:
hfloor  The height of the floor of the vehicle. 
nr_seats_x  Number of seats in longitudinal direction of the vehicle. 
aseatf  Distance from the middle of the car to the first seat. 
aseatl  Distance from the middle of the car to the last seat. 
nr_seats_y  Number of seats in lateral direction of the vehicle. 
bseat(1)  Lateral distance to the first seat. 
bseat(2)  Lateral distance to the second seat. 
. . .  . . . . . . . . 
bseat(6)  Max. 6 seats can be defined in lateral direction. 
If PASS_MODEL is equal to EveryPerson or EveryPersonSeat program NPICK will generate
a mesh of vertical masses modeled by 'mass m_rigid_1'.
Number of vertical masses in the mesh will be (nr_seats_x * nr_seats_y).
If PASS_MODEL is equal to Condensed or CondensedSeat program NPICK will only generate
one mass per mode of vibration in body FLEX_BODY.
The difference in results between PASS_MODEL EveryPerson and Condensed is small
because the passengers does not couple different modes of vibration to each other.
The weight of all passengers (if FLEX_BODY is a carbody of a vehicle). The weight is rigid attached to the carbody in all directions except in the zdirection. In the zdirection the weight of the passengers is flexible suspended depending on the used PASS_MODEL.
Type of model to be used for the passengers (if FLEX_BODY is a carbody of a vehicle). Following models are available:
EveryPerson  Models every person in the carbody with a m_rigid_1mass. 
EveryPersonSeat  Models every person and its seat in the carbody. 
Condensed  Models all passengers moving in one mode of vibration. 
CondensedSeat  Models all passengers and its seat moving in one mode of vibration. 
The Condensed model is a way of reducing the number of degrees of freedom, in the CALCmodel. The theories of the model reduction was developed by Pelle Carlbom, Department of Vehicle Engineering, Royal Institute of Technology, Sweden. in his doctoral thesis Carbody and Passengers in Rail Vehicle Dynamics, TRITAFKT2000:48, ISSN 1103470X, ISRN KTH/FKT/D00/48SE.
The different models have the following input data:
EveryPerson  alpha, fp, zetap


EveryPersonSeat  alpha, fp, zetap, ks, cs


Condensed  alpha, fp, zetap


CondensedSeat  alpha, fp, zetap, ks, cs

Name of the runffile containing the vehicle model.
From the runffile, program NPICK reads all connection points in
FLEX_BODY, where modal shapes shall be interpolated.
Fraction of critical damping of the eigenfrequencies.
The damping will be written in the file $ident'.npickr after each eigenfrequency.
Default values for vector damp are 0.
Rotation of the coordinate system between the CALCmodel and the FEMmodel.
The rotation matrix rotates all vectors in the CALCmodel to the FEMmodel.
Example:
In the CALCmodel, the zaxis points down and the yaxis points to the right.
In the FEMmodel, the zaxis points up and the yaxis points to the left.
Then the rotation matrix shall have the following contents:
ROT_CALC_FEM = 1 0 0 0 1 0 0 0 1
FEM_XMIRROR=  x_coor, iside, 
xs(1), ys(1), zs(1), fs(1), ks(1), ps(1),  
xs(2), ys(2), . . . etc. 
Copy the FEMmodel in a yzplane.
In case the FEMmodel is half and nodes only exists for positive or negative Xcoordinates,
the results must be copied into the other halfplane in order to generate a full model.
The results can be copied in two ways: symmetric and antisymmetric.
The user must know how the boundary condition was formed in the FEManalysis,
in order to make a proper copy of the half model.
The signs of the copy in the different coordinate directions are defined in the
arguments: xs, ys, zs, fs, ks and ps.
If xs, ys, zs, fs, ks and/or ps are set to +1 the reflection will be symmetric over the yzplane,
if xs, ys, zs, fs, ks and/or ps are set to 1 the reflection will be antisymmetric.
Program NPICK will automatically update the generalized mass due to the fact that a full
model will have the double weight of the half model.
Command FEM_XMIRROR can be given in combination with the FEM_YMIRROR, in order to copy a quarter model into a full model.
The input data parameters, have the following meaning:x_coor  =  Longitudinal coordinate of the yzplane where the FEMmodel ends. The coordinate should be given the the coordinate system of the FEMmodel. 
iside  =  Defines which side of the yzplane in which the FEMmodel exists. iside = +1 indicates that the FEMmodel only exists for Xcoordinates bigger than x_coor. iside = –1 indicates that the FEMmodel only exists for Xcoordinates less than x_coor. 
xs(1)  =  Symmetric or antisymmetric reflection of longitudinal displacements mod 1. 
ys(1)  =  Symmetric or antisymmetric reflection of lateral displacements mod 1. 
zs(1)  =  Symmetric or antisymmetric reflection of vertical displacements mod 1. 
fs(1)  =  Symmetric or antisymmetric reflection of roll displacements mod 1. 
ks(1)  =  Symmetric or antisymmetric reflection of pitch displacements mod 1. 
ps(1)  =  Symmetric or antisymmetric reflection of yaw displacements mod 1. 
xs(2)  =  Symmetric or antisymmetric reflection of longitudinal displacements mod 2. 
ys(2)  =  Symmetric or antisymmetric reflection of lateral displacements mod 2. 
zs(2)  =  Symmetric or antisymmetric reflection of vertical displacements mod 2. 
fs(2)  =  etc. until ps(nform) where nform is the number of the last eigenmode defined in command FEM_RES_FILE. 
The vectors xsps for all eigenmodes must be defined, otherwise will program NPICK stop with an error printout.
FEM_YMIRROR=  y_coor, iside, 
xs(1), ys(1), zs(1), fs(1), ks(1), ps(1),  
xs(2), ys(2), . . . etc. 
Copy the FEMmodel in a yzplane.
In case the FEMmodel is half and nodes only exists for positive or negative Ycoordinates,
the results must be copied into the other halfplane in order to generate a full model.
The results can be copied in two ways: symmetric and antisymmetric.
The user must know how the boundary condition was formed in the FEManalysis,
in order to make a proper copy of the half model.
The signs of the copy in the different coordinate directions are defined in the
arguments: xs, ys, zs, fs, ks and ps.
If xs, ys, zs, fs, ks and/or ps are set to +1 the reflection will be symmetric over the yzplane,
if xs, ys, zs, fs, ks and/or ps are set to 1 the reflection will be antisymmetric.
Program NPICK will automatically update the generalized mass due to the fact that a full
model will have the double weight of the half model.
Command FEM_YMIRROR can be given in combination with the FEM_XMIRROR, in order to copy a quarter model into a full model.
The input data parameters, have the following meaning:y_coor  =  Longitudinal coordinate of the yzplane where the FEMmodel ends. The coordinate should be given the the coordinate system of the FEMmodel. 
iside  =  Defines which side of the yzplane in which the FEMmodel exists. iside = +1 indicates that the FEMmodel only exists for Ycoordinates bigger than y_coor. iside = –1 indicates that the FEMmodel only exists for Ycoordinates less than y_coor. 
xs(1)  =  Symmetric or antisymmetric reflection of longitudinal displacements mod 1. 
ys(1)  =  Symmetric or antisymmetric reflection of lateral displacements mod 1. 
zs(1)  =  Symmetric or antisymmetric reflection of vertical displacements mod 1. 
fs(1)  =  Symmetric or antisymmetric reflection of roll displacements mod 1. 
ks(1)  =  Symmetric or antisymmetric reflection of pitch displacements mod 1. 
ps(1)  =  Symmetric or antisymmetric reflection of yaw displacements mod 1. 
xs(2)  =  Symmetric or antisymmetric reflection of longitudinal displacements mod 2. 
ys(2)  =  Symmetric or antisymmetric reflection of lateral displacements mod 2. 
zs(2)  =  Symmetric or antisymmetric reflection of vertical displacements mod 2. 
fs(2)  =  etc. until ps(nform) where nform is the number of the last eigenmode defined in command FEM_RES_FILE. 
The vectors xsps for all eigenmodes must be defined, otherwise will program NPICK stop with an error printout.
Scale factor between the CALCmodel and the FEMmodel. The CALCmodel coordinates will be multiplied with factor s_fact before interpolation in the FEMmodel takes place. If the FEMmodel has been modeled in millimeters and metric tonnes, the value of s_fact should be set to 1000. Default value of s_fact is equal to 1.
STOP
Stops further input data reading.
The command can be used when the user wishes to interrupt reading the
input data file at a certain point.
TOL_NODE_DMIN= eps
Sets the node min distance selection tolerance.
Program NPICK will search for nodes forming a tetrahedron around the point in
body FLEX_BODY.
The distances between the nodes around the point must be separated with a
distance of at least eps.
Declared Real*4 Default= 1.e4
TOL_NODE_DMAX= eps
Sets the node max distance selection tolerance.
Program NPICK will not search for nodes having a distance more than eps
from the point in body FLEX_BODY.
If program NPICK not can find four nodes within eps, an error
will occur and further execution will be stopped.
Declared Real*4 Default= 0.2
TOL_NODE_LMIN= eps
Sets the min value of the shape functions of the tetrahedron.
Program NPICK calculates two types of shape functions of the tetrahedron:
sf_1 and sf_2.
The value of sf_1 is calculated as the distance between node 3 and the line
through node 1 and 2, divided by the distance between node 1 and 2.
The value of sf_2 is calculated as the distance between node 4 and the
plane formed by the nodes 1, 2 and 3.
Program NPICK will not use nodes, which makes the shape functions less than eps.
Declared Real*4 Default= 0.05
TOL_NODE_LMAX= eps
Sets the max value of the shape functions of the tetrahedron.
Program NPICK calculates two types of shape functions of the tetrahedron:
sf_1 and sf_2.
The value of sf_1 is calculated as the distance between node 3 and the line
through node 1 and 2, divided by the distance between node 1 and 2.
The value of sf_2 is calculated as the distance between node 4 and the
plane formed by the nodes 1, 2 and 3.
Program NPICK will not use nodes, which makes the shape functions greater than eps.
Declared Real*4 Default= 20.
For program NPICK a number of command line options are available. The user can put his or hers favorite options in a file named .gen_conf. Program NPICK searches primarily for the .gen_conffile in the local working directory. If the file not can be found in the local working directory, program NPICK searches for the .gen_conffile in the users homedirectory. At last if no .gen_conffile can be found program NPICK reads the file $gensys/bin/gen_conf. Following options are understood:
addarg  =  Prompt for more arguments before calculation starts 
batch  =  Prepare an expanded input data file for later use 
debug  =  Don't remove temporary work files after execution 
help  =  Print this help information 
overwrite  =  Overwrite old results without questions. 
qident  =  Ask for an ident before starting the execution 
qread_runf  =  Ask if a new input data file shall be opened in an editor before execution. 
qshort  =  Run calculation in the short queue. 
arg(1)  =  Inputdatafile 
arg(2)  =  Ident 
All of the above options can be given with the prefix no_. If the prefix no_ has been given, the opposite meaning of the option will apply.
Program NPICK generates three different result files:
In the Patran pre and post processor, the geometry of the FEMmodel is defined in a file named "Patran Neutral File" and the mode shapes are written to files named "Patran Nodal Displacement Results Files"
The Patran Neutral File shall be written in the following format:Record Contents Format Note 1 25, ID, IV, KC (i2,8i8) 2 TITLE (20a4) 3 26, ID, IV, KC, N1, N2, N3, N4, N5 (i2,8i8) N1=number of nodes 4 DATE, TIME, VERSION (3a4,2a4,3a4) 5 1, ID, IV, KC (i2,8i8) 6 X, Y, Z (3e16.9) 7 ICF, GTYPE, NDF, CONFIG, CID, PSPC (i1,1a1,3i8,2x,6i1) . . . . . . . . . (3*N1+4) ICF, GTYPE, NDF, CONFIG, CID, PSPC (i1,1a1,3i8,2x,6i1) All other records are skipped by NPICK
Record Contents Format 1 TITLE (80a1) 2 NNODES, MAXNOD, DEFMAX, NDMAX, NWIDTH (2i9,e15.6,2i9) 3 SUBTITLE 1 (80a1) 4 SUBTITLE 2 (80a1) 5 NODID, (DATA(J),J=1,6) (i8, (6e13.7)) . . . . . . N1+4 NODID, (DATA(J),J=1,6) (i8, (6e13.7)) SUBTITLE 2 may contain the following two commands and information: Command Value Note FREQUENCY = freq Eigenfrequency GEN.MASS. = mg Generalized mass mg= xT M x If command FREQUENCY is lacking in the file, program NPICK will write an eigenfrequency of 0. [Hz] in the result file $ident.npickr. If command GEN.MASS. is lacking in the file, program NPICK will assume that the mode shapes are mass orthonormalized.
Number of nodes and their numbers must agree between "Patran Neutral File" and "Patran Nodal Displacement Results File", otherwise will the result be sorted in wrong order.
# # HEAD 1 "Head #1 is read from Patran Neutral File" HEAD 2 "CALC input data are read from file runf/Master.runf" HEAD 3 "Test of program NPICK" # # Read input data file for program CALC #  READ_RUNf= 'runf/Master.runf' FLEX_BODY= 'car_1' # # # Read result data files from FEMcalculations #  FEM_GEOM_FILE patran 'ver_data/patran.out.1' FEM_RES_FILE patran 'ver_data/plat_m7' 'ver_data/plat_m8' 'ver_data/plat_m9' # # Set tolerances for the node selection #  TOL_NODE_DMIN= 0.0001 # Min distance between the nodes in the tetrahedron TOL_NODE_DMAX= 0.200 # Max distance to a node in the tetrahedron TOL_NODE_LMIN= 0.05 # Min value of the shape function TOL_NODE_LMAX= 20. # Max value of the shape function # # Set viscous damping of the freefree vibration modes of body # defined in FLEX_BODY. The amount of damping is given as ratio # to critical damping. #  REL_DAMP= 0.012, 0.015, 0.019 # # Orient the CALC coordinate system into the # FEM coordinate system #  # The rotation is made according to: v(FEM) = ROT_CALC_FEM * v(CALC) # Where: v(CALC) = Vector in the input data model for program CALC. # ROT_CALC_FEM = The matrix of rotation. # v(FEM) = Vector in the FEM program. #  ROT_CALC_FEM= 1 0 0 0 1 0 0 0 1 # # Distance from the rotated CALC coordinate system into the # FEM coordinate system #  ORIGO_CALC_FEM= 6., 2., 1.04 # ORIGO_CALC_FEM= 6., 0., 1.04 # # Scale factor between the CALC coordinate system and the # FEM coordinate system #  SCALE_CALC_FEM= 1000., # In FEM model: lengths are in [mm] # and masses are in [metric tons] SCALE_CALC_FEM= 1., # In FEM model: lengths are in [m] # and masses are in [kg] # # Define a load cases for calculation of Modal Participation Factor #  # MPF 1st_Zbending kzkb11h 0,0, 1,0,0,0, kzkb11v 0,0, 1,0,0,0, kzkb12h 0,0, 1,0,0,0, kzkb12v 0,0, 1,0,0,0, MPF 2nd_Zbending kzkb11h 0,0, 1,0,0,0, kzkb11v 0,0, 1,0,0,0, kzkb12h 0,0,1,0,0,0, kzkb12v 0,0,1,0,0,0, MPF 1st_Ybending kzkb11h 0, 1,0,0,0,0, kzkb11v 0, 1,0,0,0,0, kzkb12h 0, 1,0,0,0,0, kzkb12v 0, 1,0,0,0,0, MPF 2nd_Ybending kzkb11h 0, 1,0,0,0,0, kzkb11v 0, 1,0,0,0,0, kzkb12h 0,1,0,0,0,0, kzkb12v 0,1,0,0,0,0, MPF torsion kzkb11h 0,0, 1,0,0,0, kzkb11v 0,0,1,0,0,0, kzkb12h 0,0,1,0,0,0, kzkb12v 0,0, 1,0,0,0, # # Force NPICK to use predefined nodes in the FEMmodel for # the coupling mentioned below. #  NODE_INTPL= kzkb11h 32 20 19 54 NODE_INTPL= kzkb11v 32 20 19 54 NODE_INTPL= kzkb12h 1 14 2 54 NODE_INTPL= kzkb12v 1 14 2 54 # # Or if a *.npickifile has been generated earlier the input # data reading can be redirected to file np_ident.npicki in order # to read the commands NODE_INTPL from a previous calculation. #  # INSERT np_ident.npicki # # # Passenger load #  PASS_MASS = 7000 # alpha, fp, zetap, ks, cs # PASS_MODEL= EveryPerson, 0.1, 5., 0.5 # PASS_MODEL= EveryPersonSeat, 0.1, 5., 0.5, 110e3, 2200 PASS_MODEL= Condensed, 0.1, 5., 0.5 # PASS_MODEL= CondensedSeat, 0.1, 5., 0.5, 4.4e6, 88e3 # # h nr.seats +a a nr.rows b1 b2 PASS_AREA= 1.4 20 6. 6. 2 1. 1. # # # Define mirror planes if the carbody in the # FEM model is only a half or a quarter of a body. # The six number at the end guides NPICK how to reflect the modal shapes. #  # FEM_XMIRROR= 6., # X coordinate for the mirror yzplane # +1, # The FEMmodel exists for positive coordinates # 1 +1 +1 +1 1 1 # First bending mode; symmetric reflection # +1 1 1 1 +1 +1 # Torsion mode; antisymmetric reflection # 1 +1 +1 +1 1 1 # Second bending mode; symmetric reflection # # FEM_YMIRROR= 2., # Y coordinate for the mirror xzplane # +1, # The FEMmodel exists for positive coordinates # +1 1 +1 1 +1 1 # First bending mode; symmetric reflection # 1 +1 1 +1 1 +1 # Torsion mode; antisymmetric reflection # +1 1 +1 1 +1 1 # Second bending mode; symmetric reflection
Following example shows how to manually create a torsional vibration mode of a wheelset:
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