@@ -70,7 +70,18 @@ rotation first, followed by pitch rotation, and roll last. Furthermore,
7070HydroDyn now expects the first and second time derivatives of the
7171Tait-Bryan roll, pitch, and yaw angles in place of angular velocity and
7272acceleration. The standalone HydroDyn driver will convert these inputs
73- to angular velocity and acceleration internally.
73+ to angular velocity and acceleration internally.
74+
75+ **NAddDOF ** indicates the number of additional degrees of freedom included
76+ with a potential-flow body. These additional modes can be used to describe
77+ a flexible or articulated body. **NAddDOF ** > 0 is only allowed with a single
78+ potential-flow body, and the value of **NAddDOF ** in the driver input file
79+ must match that in the HydroDyn primary input file. If more than one
80+ potential-flow bodies are included, **NAddDOF ** should be a single zero in
81+ the driver input file. This is different from the HydroDyn primary input file,
82+ where **NAddDOF ** should contain **NBody ** zeros. See details below on
83+ the HydroDyn primary input file. Note that the generalized modes with
84+ **NAddDOF ** > 0 are still an experimental feature.
7485
7586Setting **PRPInputsMod ** = 0 forces all platform reference point (PRP)
7687input motions to zero for all time. If you set **PRPInputsMod ** = 1,
@@ -115,7 +126,7 @@ to specify different motions for the PRP, which controls the motion of
115126all strip-theory members based on rigid-body kinematics, and for each
116127potential-flow bodies separately. With this option, the user only specifies
117128the translational and rotational displacements. HydroDyn will compute the
118- velocity and acceleration by numerically differentiating the displacement
129+ velocity and acceleration by numerically differentiating the displacements
119130with respect to time.
120131
121132.. _hd-prp_input_table_2 :
@@ -136,6 +147,26 @@ with respect to time.
136147 ... ... ...
137148 ============= =================================================================================== ========================
138149
150+ Finally, when a single potential-flow body with additional generalized degrees
151+ of freedom is modeled, motions of the generalized modes can be prescribed by
152+ setting **PRPInputsMod ** = -1 (only one body allowed). HydroDyn will compute the
153+ velocity and acceleration of the generalized modes by numerically differentiating
154+ the displacements with respect to time.
155+
156+ .. _hd-prp_input_table_3 :
157+
158+ .. table :: PRP Inputs Time-Series Data File Contents (**PRPInputsMod** = -1 with **NAddDOF** > 0)
159+ :widths: auto
160+
161+ ============= =================================================================================== ========================
162+ Column Number Input Units
163+ ============= =================================================================================== ========================
164+ 1 Time step value .. math:: s
165+ 2-4 Translational displacements of the PRP along *X *, *Y *, and *Z * .. math:: m
166+ 5-7 Tait-Bryan roll, pitch, and yaw angles of the PRP .. math:: \t ext{radians}
167+ 8-(NAddDOF+7) Displacements of the **NAddDOF ** generalized modes .. math:: -
168+ ============= =================================================================================== ========================
169+
139170.. _hd-primary-input :
140171
141172HydroDyn Primary Input File
@@ -389,6 +420,36 @@ to the value computed by WAMIT as output in the WAMIT ``.out`` file.
389420center of buoyancy of each body from the origin/PRP, NOT from
390421**PtfmRefxt ** and **PtfmRefyt **.
391422
423+ *Experimental feature *
424+
425+ **NAddDOF ** is an array of **NBody ** numbers indicating the number of
426+ additional generalized degrees of freedom of each potential-flow body. These
427+ additional modes can be used to describe flexible or articulated bodies and
428+ must match the modes in the 1st-order WAMIT-style input files, i.e., the .1,
429+ .3, and .hst files. The convention for the WAMIT-style input files requires
430+ the first 6 modes to be rigid-body modes always, and the additional generalized
431+ modes are numbered from 7 onward. The total number of modes in the 1st-order
432+ WAMIT-style input files should be **6+NAddDOF ** for each body. Currently, only
433+ one potential-flow body is allowed when additional degrees of freedom are used,
434+ requiring **NBody = 1 **. In this case, the choice of **NBodyMod ** does not
435+ matter. If more than one potential-flow bodies are present, **NAddDOF ** should
436+ be populated with **NBody ** zeros. This because, internally, HydroDyn supports
437+ additional degrees of freedom for an arbitrary number of bodies with any of the
438+ **NBodyMod ** options. The limitation of one potential-flow body only is due
439+ to constraints with coupling to ExtPtfm, the only module that can make use of the
440+ additional modes so far and input file limitations. Generalized modes have not
441+ been implemented for 2nd-order loads; therefore, the 2nd-order WAMIT-style input
442+ files, if included, should always contain **6NBody ** modes irrespective of
443+ **NAddDOF **. Finally, when **NAddDOF > 0 **, **WAMITULEN ** must be 1.
444+
445+ Currently, the HydroDyn loads for the additional degrees of freedom can only be
446+ used by the ExtPtfm module of OpenFAST with externally generated structural
447+ mass (M), stiffness (K), and damping (C) matrices. This workflow is intended for
448+ floating structures only with 6DOF rigid-body motions and a user-defined number
449+ of additional elastic modes. The number of modes in HydroDyn and ExtPtfm must match.
450+ More specifically, the number of modes active in ExtPtfm must be equal to
451+ **6+NAddDOF ** with the first 6 modes also being rigid-body modes.
452+
392453.. _hd-2nd_order_floating_platform_forces_input :
393454
3944552\ :sup: `nd`-Order Floating Platform Forces
@@ -486,20 +547,26 @@ where :math:`\overrightarrow{F}_{0}` corresponds to the **AddF0** static load (p
486547:math: `\overrightarrow {q}` corresponds to the displacement vector of the potential-flow bodies
487548(translation and rotation), where the overdot refers to the first time-derivative.
488549
550+ In the absence of additional degrees of freedom, i.e., **NAddDOF ** is all zeros,
489551**AddF0 ** is either a column vector with 6\ **NBody ** entries
490552if **NBodyMod ** = 1 or **NBody ** column vectors with six entries each
491553if **NBodyMod ** = 2 or 3. In the former case, **AddF0 ** will span
4925546\ **NBody ** lines with each line containing a single number in the
493555input file. In the latter case, **AddF0 ** will span six lines with each line
494- containing **NBody ** numbers in the input file.
556+ containing **NBody ** numbers in the input file. When additional degrees of
557+ freedom are included, only one potential-flow body is allowed, and **AddF0 **
558+ should be a column vector spanning 6 + **NAddDOF ** rows.
495559
560+ In the absence of additional degrees of freedom,
496561**AddCLin **, **AddBLin **, and **AddBQuad ** are either a single
4975626\ **NBody **\ -by-6\ **NBody ** matrix if **NBodyMod ** = 1 or
498563six 6-by-6 matrices if **NBodyMod ** = 2 or 3. In the former case,
499564each matrix spans 6\ **NBody ** lines in the input file with each line
500565containing 6\ **NBody ** numbers. In the latter case, each matrix
501566spans six lines in the input file, with each line containing 6\ **NBody **
502- numbers.
567+ numbers. When additional degrees of freedom are included, only one
568+ potential-flow body is allowed, and each of these matrices should span
569+ 6 + **NAddDOF ** rows, with each row containing 6 + **NAddDOF ** numbers.
503570
504571These terms can be used, e.g., to model a linearized mooring system, to
505572augment strip-theory members with a linear hydrostatic restoring matrix
@@ -508,7 +575,9 @@ HydroDyn to match damping to experimental results, such as free-decay tests.
508575While likely most useful for floating systems, these matrices can also be
509576used for fixed-bottom systems; in both cases, the resulting load is applied
510577at the reference point of each potential-flow body given by **PtfmRefxt **,
511- **PtfmRefyt **, and **PtfmRefzt **.
578+ **PtfmRefyt **, and **PtfmRefzt **. When additional generalized degrees of
579+ freedom are included with a potential-flow body, **AddF0 ** can be used to
580+ apply constant hydrostatic/buoyancy loads to the generalized modes.
512581
513582Strip theory options
514583--------------------
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