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TR.37.6.7 Harmonic Force Loading

This set of commands may be used to specify JOINT loads on the structure, the modal damping, and the phase relationship of loads in each of the global directions. 

General Format

HARMONIC FORCE { DAMP f2CDAMP | MDAMP } 

Where:

ParameterDescription
DAMP f2 Damping ratio for all modes when DAMP is selected.  Default value is 0.05 (5% damping if 0 or blank entered).

This command specifies the damping for a case of harmonic forces.

DAMP, MDAMP, and CDAMP select source of damping input:
  • DAMP indicates to use the f2 value for all modes
  • MDAMP indicates to use the damping entered or computed with the DEFINE DAMP command if entered, otherwise default value of 0.05 will be used
  • CDAMP indicates to use the composite damping of the structure calculated for each mode. You must specify damping for different materials under the CONSTANT specification

Joint Loads

Refer to TR.32.1 Joint Load Specification for additional information on Joint Loads

JOINT LOAD ( [ PHASE *{ X | Y | Z } f7] )

Where:

ParameterDescription
PHASE f7 Phase angle in degrees. One phase angle per global direction.

Bracketed data may be entered for each global direction on the same line.  All moments specified below will be applied with a phase angle of 0.0.  All forces specified below will be applied with the phase angle specified above, if any. Default is 0.0. 

Next are the joint forces, if any. Repeat as many lines of joint force data as needed.

joint-list *{ FX f1FY f2 | FZ f3 | MX f4 | MY f5 | MZ f6 }

Where:

ParameterDescription
FX f1, FY f3, FZ f3 specify a force in the corresponding global direction.
MX f4, MY f4, MZ f6 specify a moment in the corresponding global direction.

Copy Loads

The next command, Copy Load, may optionally be placed here to use the equivalent joint loads from prior cases.  This feature enables using the more complex loading commands like selfweight, floor load, wind load, etc. that are not directly available here.

COPY LOAD
i1, f1, i2, f2 ... in, fn

Where:

ParameterDescription
i1, i2 ... in prior primary load case numbers that are in this analysis set.
f1, f2 ... fn corresponding factors

This command can be continued to additional lines by ending all but last with a hyphen. These cases must have been between the Perform Steady State Analysis command and the prior Analysis command (if any).

An optional amplitude versus frequency may be specified. The peak force of each applied joint load at each forcing frequency is determined by the value of the applied load multiplied by a value determined from either one of the two methods outlined below.

Note: If no amplitude data is entered then the specified joint load is applied at all applied forcing frequencies.
AMPLITUDE ( A a B b C c )
where
Amplitude
=
a×ω2 + b×ω + c
ω
=
forcing frequency in rad/sec.
a, b, c
=
Constants. a and b default to 0.0 and c defaults to 1.0.

Or

AMPLITUDE
(f1 a1  f2 a2  … fn an )
ParameterDescription
f1 a1  f2 a2  … fn an Frequency - Amplitude pairs are entered to describe the variation of acceleration with frequency. Continue this data onto as many lines as needed by ending each line except the last with a hyphen (-). These pairs must be in ascending order of frequency.  Use up to 199 pairs.  Linear interpolation is used.

Leaving the direction field blank or inserting ALL will use the same Frequency versus Amplitude for all 3 force directions.

Enter amplitudes for up to three directions.  For directions without amplitude input, including moment directions, the amplitude will be set to 1.0.

The first form of the amplitude input is converted to the second form by creating 199 equally spaced frequencies, then computing the amplitude for each frequency.