From 977f7e1e0c7ac36ead0d50aecfc759915c1d4a9c Mon Sep 17 00:00:00 2001 From: Mateus Stano <69485049+MateusStano@users.noreply.github.com> Date: Tue, 11 Jan 2022 19:11:59 -0300 Subject: [PATCH 01/10] Changed the solution to division by zero to a more trustful one --- rocketpy/Flight.py | 6 +++++- 1 file changed, 5 insertions(+), 1 deletion(-) diff --git a/rocketpy/Flight.py b/rocketpy/Flight.py index bcab0b577..f10a19362 100644 --- a/rocketpy/Flight.py +++ b/rocketpy/Flight.py @@ -1343,7 +1343,11 @@ def uDot(self, t, u, postProcessing=False): if aerodynamicSurface[-1] == "Fins": Clfdelta, Cldomega, cantAngleRad = aerodynamicSurface[2] Clf = Clfdelta * cantAngleRad - Cld = Cldomega * omega3 / freestreamSpeed if freestreamSpeed != 0 else 0 + Cld = ( + Cldomega * omega3 * min(1, 1 / freestreamSpeed) + if freestreamSpeed != 0 + else Cldomega * omega3 + ) M3 += Clf - Cld # Calculate derivatives # Angular acceleration From d941e6eeae58d14c55f94a1dae632b046c7d945d Mon Sep 17 00:00:00 2001 From: Mateus Stano <69485049+MateusStano@users.noreply.github.com> Date: Sun, 6 Feb 2022 06:37:17 -0300 Subject: [PATCH 02/10] Fixed lift coefficient, roll coefficients and roll moment calculations --- .../technical/aerodynamics/Roll_Equations.pdf | Bin 246243 -> 300477 bytes rocketpy/Flight.py | 28 ++- rocketpy/Rocket.py | 177 +++++++++++------- 3 files changed, 133 insertions(+), 72 deletions(-) diff --git a/docs/technical/aerodynamics/Roll_Equations.pdf b/docs/technical/aerodynamics/Roll_Equations.pdf index 758a6d616f29251cb117b6e0e83244d185724889..b2307bb43719f74f6f6372b9e214b178184c9515 100644 GIT binary patch delta 185111 zcmZ5{18^oV&~}ZhaW&rBw%e<1+qU`E?bSA}?bWtz+qP|g_i5(;{>&tkWHLMRY?9q% zcAxzqq|S0w6fy-7F*+uCwjX5O&-q_JSXkmwaM@TG8Cf|v01OfUZ2%J^7c+qQU)2RL z$OBmZ&5Hh;W9DGz1Te?}{xvFqf6Ez}7~>7xz<;o?#;*~AGAGs=V5Ua(fO7#Q?MzHP z{)u5>0dV}63`sjPdjJa)fDxbsU{JERcLA`l{r5oG(#!OpXf^{BU!O6vF%4N)A%4E#N!N_4^YRtxJ%xP-M&d+Pc#%f~9%#Ov*$YNy1 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b/rocketpy/Flight.py index f10a19362..6d0e5fb11 100644 --- a/rocketpy/Flight.py +++ b/rocketpy/Flight.py @@ -1256,6 +1256,8 @@ def uDot(self, t, u, postProcessing=False): c = -self.rocket.distanceRocketNozzle a = b * Mt / M rN = self.rocket.motor.nozzleRadius + Aref = self.rocket.area + d = self.rocket.radius * 2 # Prepare transformation matrix a11 = 1 - 2 * (e2 ** 2 + e3 ** 2) a12 = 2 * (e1 * e2 - e0 * e3) @@ -1324,7 +1326,7 @@ def uDot(self, t, u, postProcessing=False): compStreamVzBn = compStreamVzB / compStreamSpeed if -1 * compStreamVzBn < 1: compAttackAngle = np.arccos(-compStreamVzBn) - cLift = abs(aerodynamicSurface[1](compAttackAngle)) + cLift = abs(aerodynamicSurface[1](compAttackAngle, freestreamMach)) # Component lift force magnitude compLift = ( 0.5 * rho * (compStreamSpeed ** 2) * self.rocket.area * cLift @@ -1342,13 +1344,25 @@ def uDot(self, t, u, postProcessing=False): # Calculates Roll Moment if aerodynamicSurface[-1] == "Fins": Clfdelta, Cldomega, cantAngleRad = aerodynamicSurface[2] - Clf = Clfdelta * cantAngleRad - Cld = ( - Cldomega * omega3 * min(1, 1 / freestreamSpeed) - if freestreamSpeed != 0 - else Cldomega * omega3 + M3f = ( + (1 / 2 * rho * freestreamSpeed ** 2) + * Aref + * d + * Clfdelta(freestreamMach) + * cantAngleRad + ) + M3d = ( + ( + (1 / 2 * rho * freestreamSpeed) + * Aref + * d + * Cldomega(freestreamMach) + * omega3 + * d + / 2 ) - M3 += Clf - Cld + ) + M3 += M3f - M3d # Calculate derivatives # Angular acceleration alpha1 = ( diff --git a/rocketpy/Rocket.py b/rocketpy/Rocket.py index b42ae84c2..ecdcb0022 100644 --- a/rocketpy/Rocket.py +++ b/rocketpy/Rocket.py @@ -370,11 +370,13 @@ def evaluateStaticMargin(self): # Calculate total lift coefficient derivative and center of pressure if len(self.aerodynamicSurfaces) > 0: for aerodynamicSurface in self.aerodynamicSurfaces: - self.totalLiftCoeffDer += aerodynamicSurface[1].differentiate( - x=1e-2, dx=1e-3 - ) + self.totalLiftCoeffDer += Function( + lambda alpha: aerodynamicSurface[1](alpha, 0) + ).differentiate(x=1e-2, dx=1e-3) self.cpPosition += ( - aerodynamicSurface[1].differentiate(x=1e-2, dx=1e-3) + Function( + lambda alpha: aerodynamicSurface[1](alpha, 0) + ).differentiate(x=1e-2, dx=1e-3) * aerodynamicSurface[0][2] ) self.cpPosition /= self.totalLiftCoeffDer @@ -416,7 +418,7 @@ def addTail(self, topRadius, bottomRadius, length, distanceToCM): Returns ------- - cldata : Function + cl : Function Object of the Function class. Contains tail's lift data. self : Rocket Object of the Rocket class. @@ -435,16 +437,14 @@ def addTail(self, topRadius, bottomRadius, length, distanceToCM): # Calculate clalpha clalpha = -2 * (1 - r ** (-2)) * (topRadius / rref) ** 2 - cldata = Function( - lambda x: clalpha * x, - "Alpha (rad)", + cl = Function( + lambda alpha, mach: clalpha * alpha, + ["Alpha (rad)", "Mach"], "Cl", - interpolation="linear", - extrapolation="natural", ) # Store values as new aerodynamic surface - tail = [(0, 0, cpz), cldata, "Tail"] + tail = [(0, 0, cpz), cl, "Tail"] self.aerodynamicSurfaces.append(tail) # Refresh static margin calculation @@ -476,7 +476,7 @@ def addNose(self, length, kind, distanceToCM): Returns ------- - cldata : Function + cl : Function Object of the Function class. Contains nose's lift data. self : Rocket Object of the Rocket class. @@ -499,16 +499,14 @@ def addNose(self, length, kind, distanceToCM): # Calculate clalpha clalpha = 2 - cldata = Function( - lambda x: clalpha * x, - "Alpha (rad)", + cl = Function( + lambda alpha, mach: clalpha * alpha, + ["Alpha (rad)", "Mach"], "Cl", - interpolation="linear", - extrapolation="natural", ) # Store values - nose = [(0, 0, cpz), cldata, "Nose Cone"] + nose = [(0, 0, cpz), cl, "Nose Cone"] self.aerodynamicSurfaces.append(nose) # Refresh static margin calculation @@ -564,7 +562,7 @@ def addFins( Returns ------- - cldata : Function + cl : Function Object of the Function class. Contains fin's lift data. self : Rocket Object of the Rocket class. @@ -579,13 +577,41 @@ def addFins( Ymac = ( (s / 3) * (Cr + 2 * Ct) / Yr ) # span wise position of fin's mean aerodynamic chord + gamac = np.arctan((Cr - Ct) / (2 * span)) Lf = np.sqrt((rootChord / 2 - tipChord / 2) ** 2 + span ** 2) radius = self.radius if radius == 0 else radius d = 2 * radius + Aref = np.pi * radius ** 2 + AR = 2 * s ** 2 / Af cantAngleRad = np.radians(cantAngle) - trapezoidalConstant = ((Yr) / 2) * (radius ** 2) * s - trapezoidalConstant += ((Cr + 2 * Ct) / 3) * radius * (s ** 2) - trapezoidalConstant += ((Cr + 3 * Ct) / 12) * (s ** 3) + trapezoidalConstant = ( + (Cr + 3 * Ct) * s ** 3 + + 4 * (Cr + 2 * Ct) * radius * s ** 2 + + 6 * (Cr + Ct) * s * radius ** 2 + ) / 12 + + # Fin–body interference correction parameters + tau = (s + radius) / radius + λ = Ct / Cr + liftInterferenceFactor = 1 + 1 / tau + rollForcingInterferenceFactor = (1 / np.pi ** 2) * ( + (np.pi ** 2 / 4) * ((tau + 1) ** 2 / tau ** 2) + + ((np.pi * (tau ** 2 + 1) ** 2) / (tau ** 2 * (tau - 1) ** 2)) + * np.arcsin((tau ** 2 - 1) / (tau ** 2 + 1)) + - (2 * np.pi * (tau + 1)) / (tau * (tau - 1)) + + ((tau ** 2 + 1) ** 2) + / (tau ** 2 * (tau - 1) ** 2) + * (np.arcsin((tau ** 2 - 1) / (tau ** 2 + 1))) ** 2 + - (4 * (tau + 1)) + / (tau * (tau - 1)) + * np.arcsin((tau ** 2 - 1) / (tau ** 2 + 1)) + + (8 / (tau - 1) ** 2) * np.log((tau ** 2 + 1) / (2 * tau)) + ) + rollDampingInterferenceFactor = 1 + ( + ((tau - λ) / (tau)) - ((1 - λ) / (tau - 1)) * np.log(tau) + ) / ( + ((tau + 1) * (tau - λ)) / (2) - ((1 - λ) * (tau ** 3 - 1)) / (3 * (tau - 1)) + ) # Save geometric parameters for later Fin Flutter Analysis and Roll Moment Calculation self.rootChord = Cr @@ -593,6 +619,25 @@ def addFins( self.span = s self.distanceRocketFins = distanceToCM + # Auxiliary functions + + # Defines beta parameter + def beta(mach): + if mach < 0.8: + return np.sqrt(1 - mach ** 2) + elif mach < 1.1: + return np.sqrt(1 - 0.8 ** 2) + else: + return np.sqrt(mach ** 2 - 1) + + # Defines number of fins correction + def finNumCorrection(n): + correctorFactor = [2.37, 2.74, 2.99, 3.24] + if n >= 5 and n <= 8: + return correctorFactor[n - 5] + else: + return n / 2 + # Calculate cp position relative to cm if distanceToCM < 0: cpz = distanceToCM - ( @@ -607,44 +652,35 @@ def addFins( # Calculate lift parameters for planar fins if not airfoil: - # Calculate clalpha - clalpha = (4 * n * (s / d) ** 2) / (1 + np.sqrt(1 + (2 * Lf / Yr) ** 2)) - clalpha *= 1 + radius / (s + radius) - # # Create a function of lift values by attack angle - cldata = Function( - lambda x: clalpha * x, "Alpha (rad)", "Cl", interpolation="linear" - ) - # Parameters for Roll Moment. Documented at: https://github.com/Projeto-Jupiter/RocketPy/blob/develop/docs/technical/aerodynamics/Roll_Equations.pdf - clfDelta = n * (Ymac + radius) * clalpha / d - cldOmega = ( - n * clalpha * np.cos(cantAngleRad) * trapezoidalConstant / (Af * d) + clalphaSingleFin = Function( + lambda mach: 2 + * np.pi + * AR + * (Af / Aref) + / (2 + np.sqrt(4 + ((beta(mach) * AR) / (np.cos(gamac))) ** 2)), ) - rollParameters = ( - [clfDelta, cldOmega, cantAngleRad] if cantAngleRad != 0 else [0, 0, 0] - ) - - # Store values - fin = [(0, 0, cpz), cldata, rollParameters, "Fins"] - self.aerodynamicSurfaces.append(fin) - # Refresh static margin calculation - self.evaluateStaticMargin() + clalphaMultipleFins = ( + liftInterferenceFactor * finNumCorrection(n) * clalphaSingleFin + ) # Function of mach number - # Return self - return self.aerodynamicSurfaces[-1] + # Calculates clalpha * alpha + cl = Function( + lambda alpha, mach: alpha * clalphaMultipleFins(mach), + ["Alpha (rad)", "Mach"], + "Cl", + ) else: def cnalfa1(cn): """Calculates the normal force coefficient derivative of a 3D airfoil for a given Cnalfa0 - Parameters ---------- cn : int Normal force coefficient derivative of a 2D airfoil. - Returns ------- Cnalfa1 : int @@ -672,7 +708,7 @@ def cnalfa1(cn): # Applies number of fins to lift coefficient data data = [[cl[0], (n / 2) * cnalfa1(cl[1])] for cl in read] - cldata = Function( + cl = Function( data, "Alpha (rad)", "Cl", @@ -681,26 +717,35 @@ def cnalfa1(cn): ) # Takes an approximation to an angular coefficient - clalpha = cldata.differentiate(x=0, dx=1e-2) - - # Parameters for Roll Moment. Documented at: https://github.com/Projeto-Jupiter/RocketPy/blob/develop/docs/technical/aerodynamics/Roll_Equations.pdf - clfDelta = n * (Ymac + radius) * clalpha / d - cldOmega = ( - n * clalpha * np.cos(cantAngleRad) * trapezoidalConstant / (Af * d) - ) - rollParameters = ( - [clfDelta, cldOmega, cantAngleRad] if cantAngleRad != 0 else [0, 0, 0] - ) + clalpha = cl.differentiate(x=0, dx=1e-2) + + # Parameters for Roll Moment. + # Documented at: https://github.com/Projeto-Jupiter/RocketPy/blob/develop/docs/technical/aerodynamics/Roll_Equations.pdf + clfDelta = ( + rollForcingInterferenceFactor * n * (Ymac + radius) * clalphaSingleFin / d + ) # Function of mach number + cldOmega = Function( + 2 + * rollDampingInterferenceFactor + * n + * clalphaSingleFin + * np.cos(cantAngleRad) + * trapezoidalConstant + / (Aref * d ** 2) + ) # Function of mach number + rollParameters = ( + [clfDelta, cldOmega, cantAngleRad] if cantAngleRad != 0 else [0, 0, 0] + ) - # Store values - fin = [(0, 0, cpz), cldata, rollParameters, "Fins"] - self.aerodynamicSurfaces.append(fin) + # Store values + fin = [(0, 0, cpz), cl, rollParameters, "Fins"] + self.aerodynamicSurfaces.append(fin) - # Refresh static margin calculation - self.evaluateStaticMargin() + # Refresh static margin calculation + self.evaluateStaticMargin() - # Return self - return self.aerodynamicSurfaces[-1] + # Return self + return self.aerodynamicSurfaces[-1] def addParachute( self, name, CdS, trigger, samplingRate=100, lag=0, noise=(0, 0, 0) @@ -987,7 +1032,9 @@ def allInfo(self): print("\nAerodynamics Lift Coefficient Derivatives") for aerodynamicSurface in self.aerodynamicSurfaces: name = aerodynamicSurface[-1] - clalpha = aerodynamicSurface[1].differentiate(x=1e-2, dx=1e-3) + clalpha = Function( + lambda alpha: aerodynamicSurface[1](alpha, 0), + ).differentiate(x=1e-2, dx=1e-3) print( name + " Lift Coefficient Derivative: {:.3f}".format(clalpha) + "/rad" ) From db8531b325f8bdd8b7b8f7ee4033381b9a4732b1 Mon Sep 17 00:00:00 2001 From: Mateus Stano <69485049+MateusStano@users.noreply.github.com> Date: Sun, 6 Feb 2022 06:56:25 -0300 Subject: [PATCH 03/10] ran black and pytest --- rocketpy/Flight.py | 16 +++++++--------- 1 file changed, 7 insertions(+), 9 deletions(-) diff --git a/rocketpy/Flight.py b/rocketpy/Flight.py index 6d0e5fb11..c67d5fb4d 100644 --- a/rocketpy/Flight.py +++ b/rocketpy/Flight.py @@ -1352,15 +1352,13 @@ def uDot(self, t, u, postProcessing=False): * cantAngleRad ) M3d = ( - ( - (1 / 2 * rho * freestreamSpeed) - * Aref - * d - * Cldomega(freestreamMach) - * omega3 - * d - / 2 - ) + (1 / 2 * rho * freestreamSpeed) + * Aref + * d + * Cldomega(freestreamMach) + * omega3 + * d + / 2 ) M3 += M3f - M3d # Calculate derivatives From d7c85ecd739d858438de528557a21527d56c4d41 Mon Sep 17 00:00:00 2001 From: Mateus Stano <69485049+MateusStano@users.noreply.github.com> Date: Sun, 6 Feb 2022 09:54:19 -0300 Subject: [PATCH 04/10] Removed unnecessary Function() on cldOmega --- rocketpy/Rocket.py | 5 +++-- 1 file changed, 3 insertions(+), 2 deletions(-) diff --git a/rocketpy/Rocket.py b/rocketpy/Rocket.py index ecdcb0022..9ebfb7b6f 100644 --- a/rocketpy/Rocket.py +++ b/rocketpy/Rocket.py @@ -724,7 +724,7 @@ def cnalfa1(cn): clfDelta = ( rollForcingInterferenceFactor * n * (Ymac + radius) * clalphaSingleFin / d ) # Function of mach number - cldOmega = Function( + cldOmega = ( 2 * rollDampingInterferenceFactor * n @@ -732,7 +732,8 @@ def cnalfa1(cn): * np.cos(cantAngleRad) * trapezoidalConstant / (Aref * d ** 2) - ) # Function of mach number + ) + # Function of mach number rollParameters = ( [clfDelta, cldOmega, cantAngleRad] if cantAngleRad != 0 else [0, 0, 0] ) From 10b5a574714b3d1a2dfaa62a5dc58b7e46732682 Mon Sep 17 00:00:00 2001 From: Lucas-KB <52254687+Lucas-KB@users.noreply.github.com> Date: Wed, 9 Feb 2022 21:51:30 -0300 Subject: [PATCH 05/10] MAINT: change aerodynamic surfaces to dictionaries This version with dictionaries is far more readable and much easier to maintain if compared to lists. So far changed only on `Flight.py`. --- rocketpy/Flight.py | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/rocketpy/Flight.py b/rocketpy/Flight.py index c67d5fb4d..c9ef51044 100644 --- a/rocketpy/Flight.py +++ b/rocketpy/Flight.py @@ -1299,7 +1299,7 @@ def uDot(self, t, u, postProcessing=False): vzB = a13 * vx + a23 * vy + a33 * vz # Calculate lift and moment for each component of the rocket for aerodynamicSurface in self.rocket.aerodynamicSurfaces: - compCp = aerodynamicSurface[0][2] + compCp = aerodynamicSurface["cp"][2] # Component absolute velocity in body frame compVxB = vxB + compCp * omega2 compVyB = vyB - compCp * omega1 @@ -1326,7 +1326,7 @@ def uDot(self, t, u, postProcessing=False): compStreamVzBn = compStreamVzB / compStreamSpeed if -1 * compStreamVzBn < 1: compAttackAngle = np.arccos(-compStreamVzBn) - cLift = abs(aerodynamicSurface[1](compAttackAngle, freestreamMach)) + cLift = abs(aerodynamicSurface["cl"](compAttackAngle, freestreamMach)) # Component lift force magnitude compLift = ( 0.5 * rho * (compStreamSpeed ** 2) * self.rocket.area * cLift @@ -1342,8 +1342,8 @@ def uDot(self, t, u, postProcessing=False): M1 -= (compCp + a) * compLiftYB M2 += (compCp + a) * compLiftXB # Calculates Roll Moment - if aerodynamicSurface[-1] == "Fins": - Clfdelta, Cldomega, cantAngleRad = aerodynamicSurface[2] + if aerodynamicSurface["name"] == "Fins": + Clfdelta, Cldomega, cantAngleRad = aerodynamicSurface["roll parameters"] M3f = ( (1 / 2 * rho * freestreamSpeed ** 2) * Aref From c416872b040bdb9d8e4b4e7e6f5b8b8ae9901dc8 Mon Sep 17 00:00:00 2001 From: Lucas-KB <52254687+Lucas-KB@users.noreply.github.com> Date: Wed, 9 Feb 2022 21:55:09 -0300 Subject: [PATCH 06/10] MAINT: change aerodynamic surfaces to dictionaries This version with dictionaries is far more readable and much easier to maintain if compared to lists. --- rocketpy/Rocket.py | 25 +++++++++++++++---------- 1 file changed, 15 insertions(+), 10 deletions(-) diff --git a/rocketpy/Rocket.py b/rocketpy/Rocket.py index 9ebfb7b6f..f25523797 100644 --- a/rocketpy/Rocket.py +++ b/rocketpy/Rocket.py @@ -371,13 +371,13 @@ def evaluateStaticMargin(self): if len(self.aerodynamicSurfaces) > 0: for aerodynamicSurface in self.aerodynamicSurfaces: self.totalLiftCoeffDer += Function( - lambda alpha: aerodynamicSurface[1](alpha, 0) + lambda alpha: aerodynamicSurface["cl"](alpha, 0) ).differentiate(x=1e-2, dx=1e-3) self.cpPosition += ( Function( - lambda alpha: aerodynamicSurface[1](alpha, 0) + lambda alpha: aerodynamicSurface["cl"](alpha, 0) ).differentiate(x=1e-2, dx=1e-3) - * aerodynamicSurface[0][2] + * aerodynamicSurface["cp"][2] ) self.cpPosition /= self.totalLiftCoeffDer @@ -444,7 +444,7 @@ def addTail(self, topRadius, bottomRadius, length, distanceToCM): ) # Store values as new aerodynamic surface - tail = [(0, 0, cpz), cl, "Tail"] + tail = {"cp": (0, 0, cpz), "cl": cl, "name": "Tail"} self.aerodynamicSurfaces.append(tail) # Refresh static margin calculation @@ -506,7 +506,7 @@ def addNose(self, length, kind, distanceToCM): ) # Store values - nose = [(0, 0, cpz), cl, "Nose Cone"] + nose = {"cp": (0, 0, cpz), "cl": cl, "name": "Nose Cone"} self.aerodynamicSurfaces.append(nose) # Refresh static margin calculation @@ -739,7 +739,12 @@ def cnalfa1(cn): ) # Store values - fin = [(0, 0, cpz), cl, rollParameters, "Fins"] + fin = { + "cp": (0, 0, cpz), + "cl": cl, + "roll parameters": rollParameters, + "name": "Fins", + } self.aerodynamicSurfaces.append(fin) # Refresh static margin calculation @@ -1032,9 +1037,9 @@ def allInfo(self): # Print rocket aerodynamics quantities print("\nAerodynamics Lift Coefficient Derivatives") for aerodynamicSurface in self.aerodynamicSurfaces: - name = aerodynamicSurface[-1] + name = aerodynamicSurface["name"] clalpha = Function( - lambda alpha: aerodynamicSurface[1](alpha, 0), + lambda alpha: aerodynamicSurface["cl"](alpha, 0), ).differentiate(x=1e-2, dx=1e-3) print( name + " Lift Coefficient Derivative: {:.3f}".format(clalpha) + "/rad" @@ -1042,8 +1047,8 @@ def allInfo(self): print("\nAerodynamics Center of Pressure") for aerodynamicSurface in self.aerodynamicSurfaces: - name = aerodynamicSurface[-1] - cpz = aerodynamicSurface[0][2] + name = aerodynamicSurface["name"] + cpz = aerodynamicSurface["cp"][2] print(name + " Center of Pressure to CM: {:.3f}".format(cpz) + " m") print( "Distance - Center of Pressure to CM: " From 920f6532b8c76ea2259bfa56f2b120d53eae2b16 Mon Sep 17 00:00:00 2001 From: Mateus Stano <69485049+MateusStano@users.noreply.github.com> Date: Thu, 10 Feb 2022 10:49:56 -0300 Subject: [PATCH 07/10] Added/Fixed suggested changes --- rocketpy/Flight.py | 18 +++++----- rocketpy/Rocket.py | 85 ++++++++++++++++++++++++++++++++++------------ 2 files changed, 72 insertions(+), 31 deletions(-) diff --git a/rocketpy/Flight.py b/rocketpy/Flight.py index c9ef51044..91757e371 100644 --- a/rocketpy/Flight.py +++ b/rocketpy/Flight.py @@ -1256,8 +1256,6 @@ def uDot(self, t, u, postProcessing=False): c = -self.rocket.distanceRocketNozzle a = b * Mt / M rN = self.rocket.motor.nozzleRadius - Aref = self.rocket.area - d = self.rocket.radius * 2 # Prepare transformation matrix a11 = 1 - 2 * (e2 ** 2 + e3 ** 2) a12 = 2 * (e1 * e2 - e0 * e3) @@ -1326,7 +1324,9 @@ def uDot(self, t, u, postProcessing=False): compStreamVzBn = compStreamVzB / compStreamSpeed if -1 * compStreamVzBn < 1: compAttackAngle = np.arccos(-compStreamVzBn) - cLift = abs(aerodynamicSurface["cl"](compAttackAngle, freestreamMach)) + cLift = abs( + aerodynamicSurface["cl"](compAttackAngle, freestreamMach) + ) # Component lift force magnitude compLift = ( 0.5 * rho * (compStreamSpeed ** 2) * self.rocket.area * cLift @@ -1346,19 +1346,19 @@ def uDot(self, t, u, postProcessing=False): Clfdelta, Cldomega, cantAngleRad = aerodynamicSurface["roll parameters"] M3f = ( (1 / 2 * rho * freestreamSpeed ** 2) - * Aref - * d + * self.rocket.area + * 2 + * self.rocket.radius * Clfdelta(freestreamMach) * cantAngleRad ) M3d = ( (1 / 2 * rho * freestreamSpeed) - * Aref - * d + * self.rocket.area + * 2 + * self.rocket.radius ** 2 * Cldomega(freestreamMach) * omega3 - * d - / 2 ) M3 += M3f - M3d # Calculate derivatives diff --git a/rocketpy/Rocket.py b/rocketpy/Rocket.py index f25523797..50d856fa7 100644 --- a/rocketpy/Rocket.py +++ b/rocketpy/Rocket.py @@ -419,7 +419,12 @@ def addTail(self, topRadius, bottomRadius, length, distanceToCM): Returns ------- cl : Function - Object of the Function class. Contains tail's lift data. + Function of the angle of attack (Alpha) and the mach number + (Mach) expressing the tail's lift coefficient. The inputs + are the angle of attack (in radians) and the mach number. + The output is the tail's lift coefficient. In the current + implementation, the tail's lift coefficient does not vary + with mach. self : Rocket Object of the Rocket class. """ @@ -477,7 +482,12 @@ def addNose(self, length, kind, distanceToCM): Returns ------- cl : Function - Object of the Function class. Contains nose's lift data. + Function of the angle of attack (Alpha) and the mach number + (Mach) expressing the nose cone's lift coefficient. The inputs + are the angle of attack (in radians) and the mach number. + The output is the nose cone's lift coefficient. In the current + implementation, the nose cone's lift coefficient does not vary + with mach self : Rocket Object of the Rocket class. """ @@ -563,7 +573,10 @@ def addFins( Returns ------- cl : Function - Object of the Function class. Contains fin's lift data. + Function of the angle of attack (Alpha) and the mach number + (Mach) expressing the fin's lift coefficient. The inputs + are the angle of attack (in radians) and the mach number. + The output is the fin's lift coefficient. self : Rocket Object of the Rocket class. """ @@ -582,7 +595,7 @@ def addFins( radius = self.radius if radius == 0 else radius d = 2 * radius Aref = np.pi * radius ** 2 - AR = 2 * s ** 2 / Af + AR = 2 * s ** 2 / Af # Barrowman's convention for fin's aspect ratio cantAngleRad = np.radians(cantAngle) trapezoidalConstant = ( (Cr + 3 * Ct) * s ** 3 @@ -591,27 +604,23 @@ def addFins( ) / 12 # Fin–body interference correction parameters - tau = (s + radius) / radius + τ = (s + radius) / radius λ = Ct / Cr - liftInterferenceFactor = 1 + 1 / tau + liftInterferenceFactor = 1 + 1 / τ rollForcingInterferenceFactor = (1 / np.pi ** 2) * ( - (np.pi ** 2 / 4) * ((tau + 1) ** 2 / tau ** 2) - + ((np.pi * (tau ** 2 + 1) ** 2) / (tau ** 2 * (tau - 1) ** 2)) - * np.arcsin((tau ** 2 - 1) / (tau ** 2 + 1)) - - (2 * np.pi * (tau + 1)) / (tau * (tau - 1)) - + ((tau ** 2 + 1) ** 2) - / (tau ** 2 * (tau - 1) ** 2) - * (np.arcsin((tau ** 2 - 1) / (tau ** 2 + 1))) ** 2 - - (4 * (tau + 1)) - / (tau * (tau - 1)) - * np.arcsin((tau ** 2 - 1) / (tau ** 2 + 1)) - + (8 / (tau - 1) ** 2) * np.log((tau ** 2 + 1) / (2 * tau)) + (np.pi ** 2 / 4) * ((τ + 1) ** 2 / τ ** 2) + + ((np.pi * (τ ** 2 + 1) ** 2) / (τ ** 2 * (τ - 1) ** 2)) + * np.arcsin((τ ** 2 - 1) / (τ ** 2 + 1)) + - (2 * np.pi * (τ + 1)) / (τ * (τ - 1)) + + ((τ ** 2 + 1) ** 2) + / (τ ** 2 * (τ - 1) ** 2) + * (np.arcsin((τ ** 2 - 1) / (τ ** 2 + 1))) ** 2 + - (4 * (τ + 1)) / (τ * (τ - 1)) * np.arcsin((τ ** 2 - 1) / (τ ** 2 + 1)) + + (8 / (τ - 1) ** 2) * np.log((τ ** 2 + 1) / (2 * τ)) ) rollDampingInterferenceFactor = 1 + ( - ((tau - λ) / (tau)) - ((1 - λ) / (tau - 1)) * np.log(tau) - ) / ( - ((tau + 1) * (tau - λ)) / (2) - ((1 - λ) * (tau ** 3 - 1)) / (3 * (tau - 1)) - ) + ((τ - λ) / (τ)) - ((1 - λ) / (τ - 1)) * np.log(τ) + ) / (((τ + 1) * (τ - λ)) / (2) - ((1 - λ) * (τ ** 3 - 1)) / (3 * (τ - 1))) # Save geometric parameters for later Fin Flutter Analysis and Roll Moment Calculation self.rootChord = Cr @@ -623,6 +632,21 @@ def addFins( # Defines beta parameter def beta(mach): + """Defines a parameter that is commonly used in aerodynamic + equations. It is commonly used in the Prandtl factor which + corrects subsonic force coefficients for compressible flow. + + Parameters + ---------- + mach : int, float + Number of mach. + + Returns + ------- + beta : int, float + Value that characterizes flow speed based on the mach number. + """ + if mach < 0.8: return np.sqrt(1 - mach ** 2) elif mach < 1.1: @@ -632,6 +656,21 @@ def beta(mach): # Defines number of fins correction def finNumCorrection(n): + """Calculates a corrector factor for the lift coefficient of multiple fins. + The specifics values are documented at: + Niskanen, S. (2013). “OpenRocket technical documentation”. In: Development + of an Open Source model rocket simulation software. + + Parameters + ---------- + n : int + Number of fins. + + Returns + ------- + Corrector factor : int + Factor that accounts for the number of fins. + """ correctorFactor = [2.37, 2.74, 2.99, 3.24] if n >= 5 and n <= 8: return correctorFactor[n - 5] @@ -735,7 +774,9 @@ def cnalfa1(cn): ) # Function of mach number rollParameters = ( - [clfDelta, cldOmega, cantAngleRad] if cantAngleRad != 0 else [0, 0, 0] + [clfDelta, cldOmega, cantAngleRad] + if cantAngleRad != 0 + else [Function(0), Function(0), 0] ) # Store values From f3bbe340fb18d436978745dc5de27e9861c8e8eb Mon Sep 17 00:00:00 2001 From: Mateus Stano <69485049+MateusStano@users.noreply.github.com> Date: Thu, 10 Feb 2022 15:56:58 -0300 Subject: [PATCH 08/10] Added pytest for rolling flight --- tests/test_flight.py | 95 ++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 95 insertions(+) diff --git a/tests/test_flight.py b/tests/test_flight.py index eea06b013..2c665a5de 100644 --- a/tests/test_flight.py +++ b/tests/test_flight.py @@ -207,3 +207,98 @@ def mainTrigger(p, y): ) assert test_flight.allInfo() == None + + +@patch("matplotlib.pyplot.show") +def test_rolling_flight(mock_show): + test_env = Environment( + railLength=5, + latitude=32.990254, + longitude=-106.974998, + elevation=1400, + datum="WGS84", + ) + tomorrow = datetime.date.today() + datetime.timedelta(days=1) + test_env.setDate( + (tomorrow.year, tomorrow.month, tomorrow.day, 12) + ) # Hour given in UTC time + test_env.setAtmosphericModel(type="StandardAtmosphere") + + test_motor = SolidMotor( + thrustSource="data/motors/Cesaroni_M1670.eng", + burnOut=3.9, + grainNumber=5, + grainSeparation=5 / 1000, + grainDensity=1815, + grainOuterRadius=33 / 1000, + grainInitialInnerRadius=15 / 1000, + grainInitialHeight=120 / 1000, + nozzleRadius=33 / 1000, + throatRadius=11 / 1000, + interpolationMethod="linear", + ) + + test_rocket = Rocket( + motor=test_motor, + radius=127 / 2000, + mass=19.197 - 2.956, + inertiaI=6.60, + inertiaZ=0.0351, + distanceRocketNozzle=-1.255, + distanceRocketPropellant=-0.85704, + powerOffDrag="data/calisto/powerOffDragCurve.csv", + powerOnDrag="data/calisto/powerOnDragCurve.csv", + ) + + test_rocket.setRailButtons([0.2, -0.5]) + + NoseCone = test_rocket.addNose( + length=0.55829, kind="vonKarman", distanceToCM=0.71971 + ) + FinSet = test_rocket.addFins( + 4, + span=0.100, + rootChord=0.120, + tipChord=0.040, + distanceToCM=-1.04956, + cantAngle=0.5, + ) + Tail = test_rocket.addTail( + topRadius=0.0635, bottomRadius=0.0435, length=0.060, distanceToCM=-1.194656 + ) + + def drogueTrigger(p, y): + # p = pressure + # y = [x, y, z, vx, vy, vz, e0, e1, e2, e3, w1, w2, w3] + # activate drogue when vz < 0 m/s. + return True if y[5] < 0 else False + + def mainTrigger(p, y): + # p = pressure + # y = [x, y, z, vx, vy, vz, e0, e1, e2, e3, w1, w2, w3] + # activate main when vz < 0 m/s and z < 800 m. + return True if y[5] < 0 and y[2] < 800 else False + + Main = test_rocket.addParachute( + "Main", + CdS=10.0, + trigger=mainTrigger, + samplingRate=105, + lag=1.5, + noise=(0, 8.3, 0.5), + ) + + Drogue = test_rocket.addParachute( + "Drogue", + CdS=1.0, + trigger=drogueTrigger, + samplingRate=105, + lag=1.5, + noise=(0, 8.3, 0.5), + ) + + test_flight = Flight( + rocket=test_rocket, environment=test_env, inclination=85, heading=0 + ) + + assert test_flight.allInfo() == None From 56e421ce19ff97b284bd9809792bc1a2b259477f Mon Sep 17 00:00:00 2001 From: Mateus Stano <69485049+MateusStano@users.noreply.github.com> Date: Sat, 12 Feb 2022 10:30:57 -0300 Subject: [PATCH 09/10] Reformated M3d equation. Changed Ymac to Yma. 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self.rocket.radius) ** 2 * Cldomega(freestreamMach) * omega3 + / 2 ) M3 += M3f - M3d # Calculate derivatives diff --git a/rocketpy/Rocket.py b/rocketpy/Rocket.py index 50d856fa7..325aaccb8 100644 --- a/rocketpy/Rocket.py +++ b/rocketpy/Rocket.py @@ -587,7 +587,7 @@ def addFins( Yr = rootChord + tipChord s = span Af = Yr * s / 2 # fin area - Ymac = ( + Yma = ( (s / 3) * (Cr + 2 * Ct) / Yr ) # span wise position of fin's mean aerodynamic chord gamac = np.arctan((Cr - Ct) / (2 * span)) @@ -761,7 +761,7 @@ def cnalfa1(cn): # Parameters for Roll Moment. # Documented at: https://github.com/Projeto-Jupiter/RocketPy/blob/develop/docs/technical/aerodynamics/Roll_Equations.pdf clfDelta = ( - rollForcingInterferenceFactor * n * (Ymac + radius) * clalphaSingleFin / d + rollForcingInterferenceFactor * n * (Yma + radius) * clalphaSingleFin / d ) # Function of mach number cldOmega = ( 2 From 0acce211245c70a87e59f18b536e66de3bfed3dd Mon Sep 17 00:00:00 2001 From: Mateus Stano <69485049+MateusStano@users.noreply.github.com> Date: Sat, 12 Feb 2022 14:21:04 -0300 Subject: [PATCH 10/10] Removed cantAngleRad != 0 check on rollParameters --- rocketpy/Rocket.py | 6 +----- 1 file changed, 1 insertion(+), 5 deletions(-) diff --git a/rocketpy/Rocket.py b/rocketpy/Rocket.py index 325aaccb8..37d643ffb 100644 --- a/rocketpy/Rocket.py +++ b/rocketpy/Rocket.py @@ -773,11 +773,7 @@ def cnalfa1(cn): / (Aref * d ** 2) ) # Function of mach number - rollParameters = ( - [clfDelta, cldOmega, cantAngleRad] - if cantAngleRad != 0 - else [Function(0), Function(0), 0] - ) + rollParameters = [clfDelta, cldOmega, cantAngleRad] # Store values fin = {