diff --git a/docs/source/user/aerodyn/coordsys.rst b/docs/source/user/aerodyn/coordsys.rst index ca963548cb..060e480c61 100644 --- a/docs/source/user/aerodyn/coordsys.rst +++ b/docs/source/user/aerodyn/coordsys.rst @@ -32,23 +32,11 @@ Hub system (h) The hub system :math:`(h)` rotates along the :math:`x_h` axis based on the shaft azimuthal position :math:`\psi` (see ElastoDyn documentation). -Cone system (c) ---------------- - -The cone system :math:`(c)` is not directly used by AeroDyn (see ElastoDyn documentation). - - -Blade system (b) ----------------- - -The blade system :math:`(c)` is not directly used by AeroDyn (see ElastoDyn documentation). - - Polar system (p) ---------------- The polar system :math:`(p_k)` is constructed from the hub coordinate system :math:`(h)` -by a rotation about the :math:`x_h` axis, which corresponds to the fixed azimuthal offset :math:`psi_{0,k}` of each blade :math:`k` (the blades are distributed evenly across the azimuth). +by rotating the :math:`x_h` axis by the azimuthal offset of each blade :math:`\psi_{0,k}` (the blades are distributed evenly across the azimuth). For conciseness we refer to this system as the :math:`(p)` system. If the number of blade is written :math:`n_B`, the azimuthal offset for blade :math:`k` is: @@ -58,10 +46,29 @@ If the number of blade is written :math:`n_B`, the azimuthal offset for blade :m \psi_{0,k} = 2 \pi \frac{k-1}{n_B} \end{aligned} -For blade 1, :math:`\psi_{0,1}=0`. +For blade 1, :math:`\psi_{0,1}=0`, therefore :math:`y_{p,1}=y_h` and :math:`z_{p,1}=z_h`. The :math:`x_{p,k}` axis is along the hub x-axis. -The :math:`z_{p,k}` axis would correspond to the :math:`z` axis of the blade if no coning was present. + + +In the absence of coning, the :math:`z_{p,k}` axis corresponds to the :math:`z_{b,k}` axis of the blade. + + +Cone system (c) +--------------- + +The cone system :math:`(c)` is obtained from the polar system by a rotation about the :math:`y_{p,k}` axis of each blade :math:`k`. +See ElastoDyn/FAST8 documentation for more details. +AeroDyn uses this system to estimate the blade pitch angle (by comparing the :math:`(c)` and :math:`(b)` systems). + + + +Blade system (b) +---------------- + +The blade system :math:`(b)` is otbained from the cone system by a rotation (pitching) about the :math:`z_c` axis. +It is used to define the location of the aerodynamic center, the local twist of the blade along the span of the blade. +See :numref:`blade_data_input_file` and :numref:`ad_blade_geom`. @@ -69,6 +76,8 @@ The :math:`z_{p,k}` axis would correspond to the :math:`z` axis of the blade if Airfoil system (a) ------------------ +**Currently the user specifies the prebend orientation in the input file and it is used to orient the airfoil** (i.e. the axis :math:`z_a`). In the future, this orientation may be computed automatically from the AC-line. + The airfoil section system :math:`(a_{_{kj}})`, or :math:`(a)` for short, is the coordinate system where Blade Element Theory is applied, and where the airfoil shape and polar data are given. The airfoil coordinate system, :math:`(a_{_{kj}})` is defined for each blade :math:`k` and each blade node :math:`j`. @@ -78,6 +87,7 @@ The :math:`x_a` axis is normal to chord, towards the suction side (for an asymme See :numref:`ad_cs_airfoil`. + .. _ad_cs_airfoil: .. figure:: figs/FASTAirfoilSystem.svg @@ -127,6 +137,7 @@ The :math:`t`-axis corresponds to the :math:`-y_a` axis (opposite direction). + Local polar system (l) ---------------------- diff --git a/docs/source/user/aerodyn/figs/FASTAirfoilSystem.svg b/docs/source/user/aerodyn/figs/FASTAirfoilSystem.svg index f47102b313..5777caa96d 100644 --- a/docs/source/user/aerodyn/figs/FASTAirfoilSystem.svg +++ b/docs/source/user/aerodyn/figs/FASTAirfoilSystem.svg @@ -2,8 +2,8 @@ + originx="56.960193" + originy="57.780307" /> @@ -454,7 +454,7 @@ @@ -562,7 +562,7 @@ transform="translate(-117.4793,38.49584)" />