LOADCYH

Bulk Data Entry Used to define the harmonic coefficients of loading, in cyclic symmetry analysis.

Format

(1) (2) (3) (4) (5) (6) (7) (8) (9) (10)
LOADCYH SID S HID HTYPE S1 L1 S2 L2
+ S3 L3 etc.

Example

(1) (2) (3) (4) (5) (6) (7) (8) (9) (10)
LOADCYH 12 1.0 11 C 2.5 23 1.0 11

Definitions

Field Contents SI Unit Example
SID Load identification number.

No default (Integer > 0)

 
S Scale factor. 6

No default (Real)

 
HID Harmonic index. 3

This entry is valid only when HTYPE = C or S.

No default (Integer ≥ 0)

 
HTYPE Flag for the harmonic type. 4 5
blank (Default)
The load will be applied to both C and S components.
GRAV
Gravity loading.
RFORCE
Centrifugal loading.
C
Coefficient of Cosine components of harmonics specified through HID.
S
Coefficient of Sine components of harmonics specified through HID.

(Character or blank)

 
Si Scale factor. 6

No default (Real)

 
Li Load identification number.

May reference any of the loading entries, except accelerations (ACCEL/ACCEL1/ACCEL2).

No default (Integer > 0)

 

Comments

  1. LOADCYH Bulk Data Entry can be referenced by LOAD in the Subcase Information section.
  2. LOADCYH can share a same ID with other LOADCYN or LOADCYH Bulk Data Entries.
  3. LOADCYH cannot share a same ID with other load set bulk entries. The harmonic index HID should be also specified by HARMONICS, and are supposed to be non-negative and must be no greater than (NSEG is defined in the CYSYM Bulk Data Entry).
    If NSEG is odd:(1)
    ( N S E G 1 2 ) MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaeWaaeaada Wcaaqaaiaad6eacaWGtbGaamyraiaadEeacqGHsislcaaIXaaabaGa aGOmaaaaaiaawIcacaGLPaaaaaa@3D34@
    If NSEG is even:(2)
    ( N S E G 2 ) MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaeWaaeaada Wcaaqaaiaad6eacaWGtbGaamyraiaadEeaaeaacaaIYaaaaaGaayjk aiaawMcaaaaa@3B8C@
  4. When, HTYPE = GRAV and RFORCE, the loading refers to GRAV and RFORCE entries, respectively. In these cases, HID is not required since the harmonic loads for appropriate available harmonics (also specified by HARMONICS) will be generated automatically.
  5. An arbitrary load { F ( j ) } MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaiWaaeaaca WGgbWaaWbaaSqabeaacaGGOaGaamOAaiaacMcaaaaakiaawUhacaGL 9baaaaa@3B71@ applied to the j t h MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamOAamaaCa aaleqabaGaamiDaiaadIgaaaaaaa@38F8@ segment of the structure (through LOADCYN) can be decomposed as: (3)
    { F ( j ) } = l [ { F l } cos 2 π l ( j 1 ) N S E G + { F ¯ l } sin 2 π l ( j 1 ) N S E G ] MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaiWaaeaaca WGgbWaaWbaaSqabeaacaGGOaGaamOAaiaacMcaaaaakiaawUhacaGL 9baacqGH9aqpdaaeqbqaamaadmaabaWaaiWaaeaacaWGgbWaaSbaaS qaaiaadYgaaeqaaaGccaGL7bGaayzFaaGaci4yaiaac+gacaGGZbWa aSaaaeaacaaIYaGaeqiWdaNaamiBaiaacIcacaWGQbGaeyOeI0IaaG ymaiaacMcaaeaacaWGobGaam4uaiaadweacaWGhbaaaiabgUcaRmaa cmaabaGabmOrayaaraWaaSbaaSqaaiaadYgaaeqaaaGccaGL7bGaay zFaaGaci4CaiaacMgacaGGUbWaaSaaaeaacaaIYaGaeqiWdaNaamiB aiaacIcacaWGQbGaeyOeI0IaaGymaiaacMcaaeaacaWGobGaam4uai aadweacaWGhbaaaaGaay5waiaaw2faaaWcbaGaamiBaaqab0Gaeyye Iuoaaaa@65BE@

    Where, l MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamiBaaaa@36E7@ is the harmonic index (HID).

    HTYPE = C or S are load options that directly specify the above coefficients { F l } MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaiWaaeaaca WGgbWaaSbaaSqaaiaadYgaaeqaaaGccaGL7bGaayzFaaaaaa@3A19@ and { F ¯ l } MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaiWaaeaace WGgbGbaebadaWgaaWcbaGaamiBaaqabaaakiaawUhacaGL9baaaaa@3A31@ of the l t h MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamiBamaaCa aaleqabaGaamiDaiaadIgaaaaaaa@38FA@ harmonic, for the cosine and sine components, respectively.

    If HTYPE is blank, the load will be applied to both C and S components.

  6. The loading defined by LOADCYN is given by:(4)
    P = S ( i = 1 N S i P L i ) MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGabmiuayaala Gaeyypa0Jaam4uamaabmaabaWaaabCaeaacaWGtbWaaSbaaSqaaiaa dMgaaeqaaOGabmiuayaalaWaaSbaaSqaaiaadYeadaWgaaadbaGaam yAaaqabaaaleqaaaqaaiaadMgacqGH9aqpcaaIXaaabaGaamOtaaqd cqGHris5aaGccaGLOaGaayzkaaaaaa@450D@
    Where,
    P L i MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGabmiuayaala WaaSbaaSqaaiaadYeadaWgaaadbaGaamyAaaqabaaaleqaaaaa@3900@
    Load vector referenced through Li.
    N MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaWcbaGaamOtaaaa@36CA@
    Number of load vectors.
  7. In cyclic symmetry analysis, the specified coordinate system (CID field) on GRAV must be rectangular. The component parallel to the axis of cyclic symmetry would contribute to the zeroth harmonic and the components perpendicular to the axis would contribute to harmonic of the first order.
  8. In cyclic symmetry analysis, the rotational vector of RFORCE must coincide with the axis of symmetry which results in a cyclic symmetric centrifugal loading.