Added member test cases + minor fix for tapered rectangular members

- Added tests for
     - Floating pitched (0deg, 30deg, 0deg) circular cylinder (mem_srf_pitch_circ_cyl.yaml).
     - Floating pitched (0deg, 30deg, 0deg) rectangular cylinder (mem_srf_pitch_rect_cyl.yaml)
     -Floating inclined (30deg, 30deg, 30deg) circular cylinder (mem_srf_inc_rect_cyl.yaml)
     - Submerged horizontal circular cylinder (mem_subm_horz_circ_cyl.yaml) )
     - Submerged horizontal circular cylinder (mem_subm_horz_circ_cyl.yaml) )
     - Floating vertical tapered circular cylinder (mem_srf_vert_tap_circ_cyl.yaml)
     - Floating vertical tapered rectangular cylinder (mem_srf_vert_tap_rect_cyl.yaml)

- Fixed a minor bug in RectangularFrustumMOI within raft_member.py. The bug only affected rectangular elements tapered along both sides (i.e. La != Lb and Wa != Wb)

raft/raft_member.py

@@ -379,10 +379,10 @@ def RectangularFrustumMOI(La, Wa, Lb, Wb, H, p):
 
                 elif La!=Lb and Wa!=Wb: # if it's a truncated pyramid for both side lengths
 
-                    x2 = (1/12)*p* ( (Lb-La)**3*H*(Wb/5 + Wa/20) + (Lb-La)**2*La*H(3*Wb/4 + Wa/4) + \
+                    x2 = (1/12)*p* ( (Lb-La)**3*H*(Wb/5 + Wa/20) + (Lb-La)**2*La*H*(3*Wb/4 + Wa/4) + \
                                      (Lb-La)*La**2*H*(Wb + Wa/2) + La**3*H*(Wb/2 + Wa/2) )
 
-                    y2 = (1/12)*p* ( (Wb-Wa)**3*H*(Lb/5 + La/20) + (Wb-Wa)**2*Wa*H(3*Lb/4 + La/4) + \
+                    y2 = (1/12)*p* ( (Wb-Wa)**3*H*(Lb/5 + La/20) + (Wb-Wa)**2*Wa*H*(3*Lb/4 + La/4) + \
                                      (Wb-Wa)*Wa**2*H*(Lb + La/2) + Wa**3*H*(Lb/2 + La/2) )
 
                     z2 = p*( Wb*Lb/5 + Wa*Lb/20 + La*Wb/20 + Wa*La*(1/30) ) * H**3

tests/test_data/mem_srf_inc_circ_cyl.yaml

@@ -0,0 +1,27 @@
+type: input file for RAFT
+name: surface piercing vertical circular cylinder
+comments: Used to perform some tests on member class functionality. This file should contain a single RAFT member.
+
+members:   # list all members here
+
+  - name      :  cylinder                  # [-]    an identifier (no longer has to be number)       
+    type      :  2                         # [-]
+    dlsMax    :  0.1                       # maximum node splitting section amount for platform members; can't be 0
+    rA        :  [-12.500,  4.3301, -15.00]  # [m]    end A coordinates
+    rB        :  [  9.375, -3.2476,  11.25]  # [m]    and B coordinates
+    shape     :  circ                      # [-]    circular or rectangular
+    gamma     :  0.0                       # [deg]  twist angle about the member's z-axis
+    potMod    :  False                     # [bool] Whether to model the member with potential flow (BEM model) plus viscous drag or purely strip theory
+    MCF       :  False                     # [bool] Whether to correct the inertia coefficient using the MacCamy and Fuchs correction
+    # --- outer shell including hydro---
+    stations  :  [0, 35]                   # [-]    location of stations along axis. Will be normalized such that start value maps to rA and end value to rB
+    d         :  9.85                      # [m]    diameters if circular or side lengths if rectangular (can be pairs)
+    t         :  0.05                      # [m]    wall thicknesses (scalar or list of same length as stations)
+    Cd        :  0.6                       # [-]    transverse drag coefficient       (optional, scalar or list of same length as stations)
+    Ca        :  0.85                      # [-]    transverse added mass coefficient (optional, scalar or list of same length as stations)
+    CdEnd     :  0.6                       # [-]    end axial drag coefficient        (optional, scalar or list of same length as stations)
+    CaEnd     :  0.7                       # [-]    end axial added mass coefficient  (optional, scalar or list of same length as stations)
+    rho_shell :  7850                      # [kg/m3]
+    # --- ballast ---
+    l_fill    :  6.19                      
+    rho_fill  :  5000                      # [kg/m3]

tests/test_data/mem_srf_inc_rect_cyl.yaml

@@ -23,5 +23,5 @@ members:   # list all members here
     CaEnd     :  0.7                         # [-]    end axial added mass coefficient  (optional, scalar or list of same length as stations)
     rho_shell :  7850                        # [kg/m3]
     # --- ballast ---
-    l_fill    :  2.71                        # [m]
+    l_fill    :  2.71                        
     rho_fill  :  5000                        # [kg/m3]

tests/test_data/mem_srf_pitch_circ_cyl.yaml

@@ -0,0 +1,27 @@
+type: input file for RAFT
+name: surface piercing vertical circular cylinder
+comments: Used to perform some tests on member class functionality. This file should contain a single RAFT member.
+
+members:   # list all members here
+
+  - name      :  cylinder                  # [-]    an identifier (no longer has to be number)       
+    type      :  2                         # [-]
+    dlsMax    :  0.1                       # maximum node splitting section amount for platform members; can't be 0
+    rA        :  [-10.0,  0, -17.321]  # [m]    end A coordinates
+    rB        :  [  7.5,  0,  12.990]  # [m]    and B coordinates
+    shape     :  circ                      # [-]    circular or rectangular
+    gamma     :  0.0                       # [deg]  twist angle about the member's z-axis
+    potMod    :  False                     # [bool] Whether to model the member with potential flow (BEM model) plus viscous drag or purely strip theory
+    MCF       :  False                     # [bool] Whether to correct the inertia coefficient using the MacCamy and Fuchs correction
+    # --- outer shell including hydro---
+    stations  :  [0, 35]                   # [-]    location of stations along axis. Will be normalized such that start value maps to rA and end value to rB
+    d         :  9.85                      # [m]    diameters if circular or side lengths if rectangular (can be pairs)
+    t         :  0.05                      # [m]    wall thicknesses (scalar or list of same length as stations)
+    Cd        :  0.6                       # [-]    transverse drag coefficient       (optional, scalar or list of same length as stations)
+    Ca        :  0.85                      # [-]    transverse added mass coefficient (optional, scalar or list of same length as stations)
+    CdEnd     :  0.6                       # [-]    end axial drag coefficient        (optional, scalar or list of same length as stations)
+    CaEnd     :  0.7                       # [-]    end axial added mass coefficient  (optional, scalar or list of same length as stations)
+    rho_shell :  7850                      # [kg/m3]
+    # --- ballast ---
+    l_fill    :  6.19                      
+    rho_fill  :  5000                      # [kg/m3]

tests/test_data/mem_srf_pitch_rect_cyl.yaml

@@ -0,0 +1,27 @@
+type: input file for RAFT
+name: surface piercing vertical rectangular cylinder
+comments: Used to perform some tests on member class functionality. This file should contain a single RAFT member.
+
+
+members:   # list all members here
+  - name      :  cylinder                    # [-]    an identifier (no longer has to be number)       
+    type      :  2                           # [-]    
+    dlsMax    :  0.1                         # maximum node splitting section amount for platform members; can't be 0
+    rA        :  [-10.0,  0, -17.321]  # [m]    end A coordinates
+    rB        :  [  7.5,  0,  12.990]  # [m]    and B coordinates
+    shape     :  rect                        # [-]    circular or rectangular
+    gamma     :  0.0                         # [deg]  twist angle about the member's z-axis
+    potMod    :  False                       # [bool] Whether to model the member with potential flow (BEM model) plus viscous drag or purely strip theory
+    MCF       :  False                       # [bool] Whether to correct the inertia coefficient using the MacCamy and Fuchs correction
+    # --- outer shell including hydro---
+    stations  :  [0, 35]                     # [-]    location of stations along axis. Will be normalized such that start value maps to rA and end value to rB
+    d         :  [9.85, 6]                   # [m]    diameters if circular or side lengths if rectangular (can be pairs)
+    t         :  0.05                        # [m]    wall thicknesses (scalar or list of same length as stations)
+    Cd        :  [2, 1]                      # [-]    transverse drag coefficient       (optional, scalar or list of same length as stations)
+    Ca        :  [1.50, 1.25]                # [-]    transverse added mass coefficient (optional, scalar or list of same length as stations)
+    CdEnd     :  0.6                         # [-]    end axial drag coefficient        (optional, scalar or list of same length as stations)
+    CaEnd     :  0.7                         # [-]    end axial added mass coefficient  (optional, scalar or list of same length as stations)
+    rho_shell :  7850                        # [kg/m3]
+    # --- ballast ---
+    l_fill    :  2.71                        
+    rho_fill  :  5000                        # [kg/m3]

tests/test_data/mem_srf_vert_circ_cyl.yaml

@@ -23,5 +23,5 @@ members:   # list all members here
     CaEnd     :  0.7                       # [-]    end axial added mass coefficient  (optional, scalar or list of same length as stations)
     rho_shell :  7850                      # [kg/m3]
     # --- ballast ---
-    l_fill    :  6.19                      # [m]
+    l_fill    :  6.19                      
     rho_fill  :  5000                      # [kg/m3]

tests/test_data/mem_srf_vert_rect_cyl.yaml

@@ -23,5 +23,5 @@ members:   # list all members here
     CaEnd     :  0.7                       # [-]    end axial added mass coefficient  (optional, scalar or list of same length as stations)
     rho_shell :  7850                      # [kg/m3]
     # --- ballast ---
-    l_fill    :  2.71                      # [m]
+    l_fill    :  2.71                      
     rho_fill  :  5000                      # [kg/m3]

tests/test_data/mem_srf_vert_tap_circ_cyl.yaml

@@ -0,0 +1,27 @@
+type: input file for RAFT
+name: surface piercing vertical circular cylinder
+comments: Used to perform some tests on member class functionality. This file should contain a single RAFT member.
+
+members:   # list all members here
+
+  - name      :  cylinder                  # [-]    an identifier (no longer has to be number)       
+    type      :  2                         # [-]
+    dlsMax    :  0.1                       # maximum node splitting section amount for platform members; can't be 0
+    rA        :  [ 0, 0, -20]              # [m]    end A coordinates
+    rB        :  [ 0, 0,  15]              # [m]    and B coordinates
+    shape     :  circ                      # [-]    circular or rectangular
+    gamma     :  0.0                       # [deg]  twist angle about the member's z-axis
+    potMod    :  False                     # [bool] Whether to model the member with potential flow (BEM model) plus viscous drag or purely strip theory
+    MCF       :  False                     # [bool] Whether to correct the inertia coefficient using the MacCamy and Fuchs correction
+    # --- outer shell including hydro---
+    stations  :  [0, 35]                   # [-]    location of stations along axis. Will be normalized such that start value maps to rA and end value to rB
+    d         :  [9.85, 4]                 # [m]    diameters if circular or side lengths if rectangular (can be pairs)
+    t         :  0.05                      # [m]    wall thicknesses (scalar or list of same length as stations)
+    Cd        :  0.6                       # [-]    transverse drag coefficient       (optional, scalar or list of same length as stations)
+    Ca        :  0.85                      # [-]    transverse added mass coefficient (optional, scalar or list of same length as stations)
+    CdEnd     :  0.6                       # [-]    end axial drag coefficient        (optional, scalar or list of same length as stations)
+    CaEnd     :  0.7                       # [-]    end axial added mass coefficient  (optional, scalar or list of same length as stations)
+    rho_shell :  7850                      # [kg/m3]
+    # --- ballast ---
+    l_fill    :  6.19                      
+    rho_fill  :  5000                      # [kg/m3]

tests/test_data/mem_srf_vert_tap_rect_cyl.yaml

@@ -0,0 +1,27 @@
+type: input file for RAFT
+name: surface piercing vertical rectangular cylinder
+comments: Used to perform some tests on member class functionality. This file should contain a single RAFT member.
+
+
+members:   # list all members here
+  - name      :  cylinder                  # [-]    an identifier (no longer has to be number)       
+    type      :  2                         # [-]    
+    dlsMax    :  0.1                       # maximum node splitting section amount for platform members; can't be 0
+    rA        :  [ 0, 0, -20]              # [m]    end A coordinates
+    rB        :  [ 0, 0,  15]              # [m]    and B coordinates
+    shape     :  rect                      # [-]    circular or rectangular
+    gamma     :  0.0                       # [deg]  twist angle about the member's z-axis
+    potMod    :  False                     # [bool] Whether to model the member with potential flow (BEM model) plus viscous drag or purely strip theory
+    MCF       :  False                     # [bool] Whether to correct the inertia coefficient using the MacCamy and Fuchs correction
+    # --- outer shell including hydro---
+    stations  :  [0, 35]                   # [-]    location of stations along axis. Will be normalized such that start value maps to rA and end value to rB
+    d         :  [[9.85, 6], [4, 3]]       # [m]    diameters if circular or side lengths if rectangular (can be pairs)
+    t         :  0.05                      # [m]    wall thicknesses (scalar or list of same length as stations)
+    Cd        :  [2, 1]                    # [-]    transverse drag coefficient       (optional, scalar or list of same length as stations)
+    Ca        :  [1.50, 1.25]              # [-]    transverse added mass coefficient (optional, scalar or list of same length as stations)
+    CdEnd     :  0.6                       # [-]    end axial drag coefficient        (optional, scalar or list of same length as stations)
+    CaEnd     :  0.7                       # [-]    end axial added mass coefficient  (optional, scalar or list of same length as stations)
+    rho_shell :  7850                      # [kg/m3]
+    # --- ballast ---
+    l_fill    :  2.71                      
+    rho_fill  :  5000                      # [kg/m3]

tests/test_data/mem_subm_horz_circ_cyl.yaml

@@ -0,0 +1,27 @@
+type: input file for RAFT
+name: surface piercing vertical circular cylinder
+comments: Used to perform some tests on member class functionality. This file should contain a single RAFT member.
+
+members:   # list all members here
+
+  - name      :  cylinder                  # [-]    an identifier (no longer has to be number)       
+    type      :  2                         # [-]
+    dlsMax    :  0.1                       # maximum node splitting section amount for platform members; can't be 0
+    rA        :  [-17.5,  0, -20.0]  # [m]    end A coordinates
+    rB        :  [ 17.5,  0, -20.0]  # [m]    and B coordinates
+    shape     :  circ                      # [-]    circular or rectangular
+    gamma     :  0.0                       # [deg]  twist angle about the member's z-axis
+    potMod    :  False                     # [bool] Whether to model the member with potential flow (BEM model) plus viscous drag or purely strip theory
+    MCF       :  False                     # [bool] Whether to correct the inertia coefficient using the MacCamy and Fuchs correction
+    # --- outer shell including hydro---
+    stations  :  [0, 35]                   # [-]    location of stations along axis. Will be normalized such that start value maps to rA and end value to rB
+    d         :  9.85                      # [m]    diameters if circular or side lengths if rectangular (can be pairs)
+    t         :  0.05                      # [m]    wall thicknesses (scalar or list of same length as stations)
+    Cd        :  0.6                       # [-]    transverse drag coefficient       (optional, scalar or list of same length as stations)
+    Ca        :  0.85                      # [-]    transverse added mass coefficient (optional, scalar or list of same length as stations)
+    CdEnd     :  0.6                       # [-]    end axial drag coefficient        (optional, scalar or list of same length as stations)
+    CaEnd     :  0.7                       # [-]    end axial added mass coefficient  (optional, scalar or list of same length as stations)
+    rho_shell :  7850                      # [kg/m3]
+    # --- ballast ---
+    l_fill    :  6.19                      
+    rho_fill  :  5000                      # [kg/m3]

tests/test_data/mem_subm_horz_rect_cyl.yaml

@@ -0,0 +1,27 @@
+type: input file for RAFT
+name: surface piercing vertical rectangular cylinder
+comments: Used to perform some tests on member class functionality. This file should contain a single RAFT member.
+
+
+members:   # list all members here
+  - name      :  cylinder                  # [-]    an identifier (no longer has to be number)       
+    type      :  2                         # [-]    
+    dlsMax    :  0.1                       # maximum node splitting section amount for platform members; can't be 0
+    rA        :  [-17.5, 0, -20]              # [m]    end A coordinates
+    rB        :  [ 17.5, 0, -20]              # [m]    and B coordinates
+    shape     :  rect                      # [-]    circular or rectangular
+    gamma     :  0.0                       # [deg]  twist angle about the member's z-axis
+    potMod    :  False                     # [bool] Whether to model the member with potential flow (BEM model) plus viscous drag or purely strip theory
+    MCF       :  False                     # [bool] Whether to correct the inertia coefficient using the MacCamy and Fuchs correction
+    # --- outer shell including hydro---
+    stations  :  [0, 35]                   # [-]    location of stations along axis. Will be normalized such that start value maps to rA and end value to rB
+    d         :  [9.85, 6]                 # [m]    diameters if circular or side lengths if rectangular (can be pairs)
+    t         :  0.05                      # [m]    wall thicknesses (scalar or list of same length as stations)
+    Cd        :  [2, 1]                    # [-]    transverse drag coefficient       (optional, scalar or list of same length as stations)
+    Ca        :  [1.50, 1.25]              # [-]    transverse added mass coefficient (optional, scalar or list of same length as stations)
+    CdEnd     :  0.6                       # [-]    end axial drag coefficient        (optional, scalar or list of same length as stations)
+    CaEnd     :  0.7                       # [-]    end axial added mass coefficient  (optional, scalar or list of same length as stations)
+    rho_shell :  7850                      # [kg/m3]
+    # --- ballast ---
+    l_fill    :  2.71                      
+    rho_fill  :  5000                      # [kg/m3]