TABLEG

Bulk Data Entry Defines a general tabular function for use in supported reference entries.

Format

(1) (2) (3) (4) (5) (6) (7) (8) (9) (10)
TABLEG TID LABEL TYPE XYTYPE FLAT        
  x1 y1              
  x2 y2              
  etc. etc.              

Example

(1) (2) (3) (4) (5) (6) (7) (8) (9) (10)
TABLEG 32                
  -3.0 6.9              
  2.0 5.6              

Definitions

Field Contents SI Unit Example
TID Table identification number.

No default (Integer > 0)

 
LABEL Specify a name or label for the table.

Default = blank (<string> or blank)

 
TYPE Specifies a linear or logarithmic interpolation for the x-axis and y-axis. 4, 5
LINEAR (Default)
LOG
SMOOTH
 
XYTYPE Specifies how the X-axis and Y-axis are interpreted.
XY (Default)
First column is the X-axis and the second column is the Y-axis
YX
First column is the Y-axis and the second column is the X-axis
 
FLAT
Specifies the handling method for y-values outside the specified range of x-values in the table.
=0 (Default)
If an x-value input is outside the range of x-values specified on the table, the corresponding y-value look up is performed using linear extrapolation from the two start or two end points.
=FLAT or 1
If an x-value input is outside the range of x-values specified on the table, the corresponding y-value is equal to the start or end points, respectively.
 
x#, y# Tabular values.

No default (Real)

 

Comments

  1. x i MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKf MBHbqefqvATv2CG4uz3bIuV1wyUbqedmvETj2BSbqefm0B1jxALjhi ov2DaebbnrfifHhDYfgasaacH8srps0lbbf9q8WrFfeuY=Hhbbf9v8 qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9 q8qqQ8frFve9Fve9Ff0dmeaacaGacmGadaWaaiqacaabaiaafaaake aacaWG4bGaamyAaaaa@3AC2@ must be in either ascending or descending order, but not both.
  2. Discontinuities may be specified between any two points except the two starting points or two end points. Also, if y MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKf MBHbqefqvATv2CG4uz3bIuV1wyUbqedmvETj2BSbqefm0B1jxALjhi ov2DaebbnrfifHhDYfgasaacH8srps0lbbf9q8WrFfeuY=Hhbbf9v8 qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9 q8qqQ8frFve9Fve9Ff0dmeaacaGacmGadaWaaiqacaabaiaafaaake aacaWG4baaaa@39D4@ is evaluated at a discontinuity, the average value of y MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKf MBHbqefqvATv2CG4uz3bIuV1wyUbqedmvETj2BSbqefm0B1jxALjhi ov2DaebbnrfifHhDYfgasaacH8srps0lbbf9q8WrFfeuY=Hhbbf9v8 qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9 q8qqQ8frFve9Fve9Ff0dmeaacaGacmGadaWaaiqacaabaiaafaaake aacaWG4baaaa@39D4@ is used. In Figure 1, the value of y MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKf MBHbqefqvATv2CG4uz3bIuV1wyUbqedmvETj2BSbqefm0B1jxALjhi ov2DaebbnrfifHhDYfgasaacH8srps0lbbf9q8WrFfeuY=Hhbbf9v8 qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9 q8qqQ8frFve9Fve9Ff0dmeaacaGacmGadaWaaiqacaabaiaafaaake aacaWG4baaaa@39D4@ at x = x 3 MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKf MBHbqefqvATv2CG4uz3bIuV1wyUbqedmvETj2BSbqefm0B1jxALjhi ov2DaebbnrfifHhDYfgasaacH8srps0lbbf9q8WrFfeuY=Hhbbf9v8 qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9 q8qqQ8frFve9Fve9Ff0dmeaacaGacmGadaWaaiqacaabaiaafaaake aacaWG4bGaeyypa0JaamiEaiaaiodaaaa@3C94@ is y MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKf MBHbqefqvATv2CG4uz3bIuV1wyUbqedmvETj2BSbqefm0B1jxALjhi ov2DaebbnrfifHhDYfgasaacH8srps0lbbf9q8WrFfeuY=Hhbbf9v8 qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9 q8qqQ8frFve9Fve9Ff0dmeaacaGacmGadaWaaiqacaabaiaafaaake aacaWG4baaaa@39D4@ = ( y = ( y 3 + y 4 ) / 2 MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKf MBHbqefqvATv2CG4uz3bIuV1wyUbqedmvETj2BSbqefm0B1jxALjhi ov2DaebbnrfifHhDYfgasaacH8srps0lbbf9q8WrFfeuY=Hhbbf9v8 qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9 q8qqQ8frFve9Fve9Ff0dmeaacaGacmGadaWaaiqacaabaiaafaaake aacaWG5bGaeyypa0ZaaeWaaeaacaWG5bGaaG4maiabgUcaRiaadMha caaI0aaacaGLOaGaayzkaaGaai4laiaaikdaaaa@422C@ .
  3. At least one continuation entry must be specified.
  4. For FLAT=0 (default), TABLED1 uses the algorithm:(1)
    y = y T ( x )
    Where,
    x MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKf MBHbqefqvATv2CG4uz3bIuV1wyUbqedmvETj2BSbqefm0B1jxALjhi ov2DaebbnrfifHhDYfgasaacH8srps0lbbf9q8WrFfeuY=Hhbbf9v8 qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9 q8qqQ8frFve9Fve9Ff0dmeaacaGacmGadaWaaiqacaabaiaafaaake aacaWG4baaaa@39D4@
    Input to the table
    y MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKf MBHbqefqvATv2CG4uz3bIuV1wyUbqedmvETj2BSbqefm0B1jxALjhi ov2DaebbnrfifHhDYfgasaacH8srps0lbbf9q8WrFfeuY=Hhbbf9v8 qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9 q8qqQ8frFve9Fve9Ff0dmeaacaGacmGadaWaaiqacaabaiaafaaake aacaWG4baaaa@39D4@
    Is returned
    The table look-up is performed using interpolation within the table and linear extrapolation outside the table using the two starting or end points (Figure 1). The algorithms used for interpolation or extrapolation are:
    X-Axis Y-Axis y T ( x )
    Linear Linear x j x x j x i y i + x x i x j x i y j MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaSaaaeaada qadaqaaiaadIhadaWgaaWcbaGaamOAaaqabaGccqGHsislcaWG4baa caGLOaGaayzkaaaabaWaaeWaaeaacaWG4bWaaSbaaSqaaiaadQgaae qaaOGaeyOeI0IaamiEamaaBaaaleaacaWGPbaabeaaaOGaayjkaiaa wMcaaaaacaWG5bWaaSbaaSqaaiaadMgaaeqaaOGaey4kaSYaaSaaae aadaqadaqaaiaadIhacqGHsislcaWG4bWaaSbaaSqaaiaadMgaaeqa aaGccaGLOaGaayzkaaaabaWaaeWaaeaacaWG4bWaaSbaaSqaaiaadQ gaaeqaaOGaeyOeI0IaamiEamaaBaaaleaacaWGPbaabeaaaOGaayjk aiaawMcaaaaacaWG5bWaaSbaaSqaaiaadQgaaeqaaaaa@53CB@
    Log Log exp ln x j / x ln x j / x i ln y i + ln x / x i ln x j / x i ln y j MathType@MTEF@5@5@+= feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaciyzaiaacI hacaGGWbWaamWaaeaadaWcaaqaaiGacYgacaGGUbWaaeWaaeaacaWG 4bWaaSbaaSqaaiaadQgaaeqaaOGaai4laiaadIhaaiaawIcacaGLPa aaaeaaciGGSbGaaiOBamaabmaabaGaamiEamaaBaaaleaacaWGQbaa beaakiaac+cacaWG4bWaaSbaaSqaaiaadMgaaeqaaaGccaGLOaGaay zkaaaaaiGacYgacaGGUbGaamyEamaaBaaaleaacaWGPbaabeaakiab gUcaRmaalaaabaGaciiBaiaac6gadaqadaqaaiaadIhacaGGVaGaam iEamaaBaaaleaacaWGPbaabeaaaOGaayjkaiaawMcaaaqaaiGacYga caGGUbWaaeWaaeaacaWG4bWaaSbaaSqaaiaadQgaaeqaaOGaai4lai aadIhadaWgaaWcbaGaamyAaaqabaaakiaawIcacaGLPaaaaaGaciiB aiaac6gacaWG5bWaaSbaaSqaaiaadQgaaeqaaaGccaGLBbGaayzxaa aaaa@6313@
    Linear Smooth y i + y j y i x x i 3 x j x i 3 10 15 x x i x j x i + 6 x x i 2 x j x i 2 MathType@MTEF@5@5@+= feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamyEamaaBa aaleaacaWGPbaabeaakiabgUcaRmaabmaabaGaamyEamaaBaaaleaa caWGQbaabeaakiabgkHiTiaadMhadaWgaaWcbaGaamyAaaqabaaaki aawIcacaGLPaaadaWcaaqaamaabmaabaGaamiEaiabgkHiTiaadIha daWgaaWcbaGaamyAaaqabaaakiaawIcacaGLPaaadaahaaWcbeqaai aaiodaaaaakeaadaqadaqaaiaadIhadaWgaaWcbaGaamOAaaqabaGc cqGHsislcaWG4bWaaSbaaSqaaiaadMgaaeqaaaGccaGLOaGaayzkaa WaaWbaaSqabeaacaaIZaaaaaaakmaabmaabaGaaGymaiaaicdacqGH sislcaaIXaGaaGynamaalaaabaWaaeWaaeaacaWG4bGaeyOeI0Iaam iEamaaBaaaleaacaWGPbaabeaaaOGaayjkaiaawMcaaaqaamaabmaa baGaamiEamaaBaaaleaacaWGQbaabeaakiabgkHiTiaadIhadaWgaa WcbaGaamyAaaqabaaakiaawIcacaGLPaaaaaGaey4kaSIaaGOnamaa laaabaWaaeWaaeaacaWG4bGaeyOeI0IaamiEamaaBaaaleaacaWGPb aabeaaaOGaayjkaiaawMcaamaaCaaaleqabaGaaGOmaaaaaOqaamaa bmaabaGaamiEamaaBaaaleaacaWGQbaabeaakiabgkHiTiaadIhada WgaaWcbaGaamyAaaqabaaakiaawIcacaGLPaaadaahaaWcbeqaaiaa ikdaaaaaaaGccaGLOaGaayzkaaaaaa@6F9F@

    Where, x j MathType@MTEF@5@5@+= feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamiEamaaBa aaleaacaWGQbaabeaaaaa@380C@ and y j MathType@MTEF@5@5@+= feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamyEamaaBa aaleaacaWGQbaabeaaaaa@380D@ follow x i MathType@MTEF@5@5@+= feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamiEamaaBa aaleaacaWGPbaabeaaaaa@380B@ and y i MathType@MTEF@5@5@+= feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamyEamaaBa aaleaacaWGPbaabeaaaaa@380C@ .

    No warning messages are issued if table data is input incorrectly.


    Figure 1. Example of Table Extrapolation and Discontinuity
  5. SMOOTH option is only available for Explicit Dynamic Analysis (ANALYSIS=NLEXPL).
  6. Linear extrapolation is not used for Fourier transform methods. The function is zero outside the range of the table.
  7. For frequency-dependent loads, x# is measured in cycles per unit time.
  8. Tabular values on an axis if TYPE =LOG must be positive. A fatal message will be issued if an axis has a tabular value ≤ 0.
  9. TABLEG can be used in the following situations:
    • TABLEG can be used instead of TABLED1, on the RLOAD and TLOAD Bulk Data Entries.
    • TABLEG can be used instead of TABLEM1, on the MATT# entries.
    • TABLEG can be used instead of TABLES1, on the MATS1, MCIRON or PCONT entries.
  10. TABLEG identification numbers should be unique with regard to any other TABLE# entry. TABLEG should not have the same ID as any other TABLE# entry.
  11. If there are any unused TABLEG entries in the input file, there will not be any warning in the .out file.