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

LOADCYH Bulk Data Entry can be referenced by LOAD in the Subcase Information section.
LOADCYH can share a same ID with other LOADCYN or LOADCYH Bulk Data Entries.
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)
$(\frac{N S E G - 1}{2})$

If NSEG is even:(2)
$(\frac{N S E G}{2})$
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.
An arbitrary load ${F^{(j)}}$ applied to the $j^{t h}$ segment of the structure (through LOADCYN) can be decomposed as: (3)
${F^{(j)}} = \sum_{l} [{F_{l}} \cos \frac{2 π l (j - 1)}{N S E G} + {{\bar{F}}_{l}} \sin \frac{2 π l (j - 1)}{N S E G}]$

Where, $l$ is the harmonic index (HID).

HTYPE = C or S are load options that directly specify the above coefficients ${F_{l}}$ and ${{\bar{F}}_{l}}$ of the $l^{t h}$ harmonic, for the cosine and sine components, respectively.

If HTYPE is blank, the load will be applied to both C and S components.
The loading defined by LOADCYN is given by:(4)
$\vec{P} = S (\sum_{i = 1}^{N} S_{i} {\vec{P}}_{L_{i}})$

Where,

${\vec{P}}_{L_{i}}$

Load vector referenced through Li.

$N$

Number of load vectors.
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.
In cyclic symmetry analysis, the rotational vector of RFORCE must coincide with the axis of symmetry which results in a cyclic symmetric centrifugal loading.