{ "cells": [ { "cell_type": "markdown", "id": "6dd59351", "metadata": {}, "source": [ "# Trim Envelope and Climb Analysis\n", "\n", "This notebook demonstrates how to:\n", "1. Generate a trim envelope across a range of altitudes\n", "2. Analyze the required throttle and elevator settings\n", "3. Simulate climbing from 1,000 ft to 20,000 ft using initial trim settings\n", "4. Simulate climbing using interpolated trim settings from the envelope" ] }, { "cell_type": "markdown", "id": "7bab6d26", "metadata": {}, "source": [ "## Import Required Libraries" ] }, { "cell_type": "code", "execution_count": 1, "id": "025f465d", "metadata": {}, "outputs": [], "source": [ "import jsbsim\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import math" ] }, { "cell_type": "markdown", "id": "1f47081a", "metadata": {}, "source": [ "## Initialize JSBSim and Set Up Aircraft" ] }, { "cell_type": "code", "execution_count": 2, "id": "aea9a5fd", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", " JSBSim Flight Dynamics Model v1.3.0 Apr 9 2026 10:00:08\n", " [JSBSim-ML v2.0]\n", "\n", "JSBSim startup beginning ...\n", "\n" ] } ], "source": [ "AIRCRAFT_NAME=\"A4\"\n", "\n", "fdm = jsbsim.FGFDMExec(None)\n", "fdm.set_debug_level(0) # Suppress verbose JSBSim console output\n", "\n", "fdm.load_model(AIRCRAFT_NAME)\n", "\n", "\n", "# Set engines running\n", "fdm['propulsion/set-running'] = -1" ] }, { "cell_type": "markdown", "id": "1b4d93af", "metadata": {}, "source": [ "## Define Envelope Limits and Parameters" ] }, { "cell_type": "code", "execution_count": 3, "id": "94970468", "metadata": {}, "outputs": [], "source": [ "# Set alpha range for trim solutions\n", "fdm['aero/alpha-max-rad'] = math.radians(12) # Maximum angle of attack in radians.\n", "fdm['aero/alpha-min-rad'] = math.radians(-4.0) # Minimum angle of attack in radians.\n", "\n", "# Set envelope limits\n", "speed = 300 # KCAS\n", "min_alt = 1000 # Set the minimum alt (ft).\n", "max_alt = 20000 # Set the maximum alt (ft).\n", "alt_step = 1000 # Set the altitude step (ft).\n", "gamma = 5 # Set the flight path angle range (deg)." ] }, { "cell_type": "markdown", "id": "4c609a26", "metadata": {}, "source": [ "## Generate Trim Envelope\n", "\n", "Compute trim solutions across the altitude range for a constant speed and flight path angle." ] }, { "cell_type": "code", "execution_count": 4, "id": "c56c6fa8", "metadata": {}, "outputs": [], "source": [ "# Trim results\n", "results = [] # Initialize an empty list to store the trim results.\n", "\n", "# Iterate over a range of altitudes and for each speed a range of flight path angles (gamma)\n", "for alt in range(min_alt, max_alt+1, alt_step):\n", " # Set the initial conditions\n", " fdm['ic/h-sl-ft'] = alt # altitude above sea level (ft)\n", " fdm['ic/vc-kts'] = speed # calibrated airspeed (kts)\n", " fdm['ic/gamma-deg'] = gamma # flight path angle (deg)\n", "\n", " # Initialize the aircraft with initial conditions\n", " fdm.run_ic()\n", "\n", " # Trim the aircraft.\n", " try:\n", " # 1 means straight flight by using all changeable control variables.\n", " fdm['simulation/do_simple_trim'] = 1\n", "\n", " results.append((alt, fdm['fcs/throttle-cmd-norm[0]'], fdm['fcs/pitch-trim-cmd-norm']))\n", "\n", " except jsbsim.TrimFailureError:\n", " pass # Ignore trim failures" ] }, { "cell_type": "markdown", "id": "67f75f05", "metadata": {}, "source": [ "## Plot Trim Envelope Results\n", "\n", "Display the required throttle and elevator settings as functions of altitude." ] }, { "cell_type": "code", "execution_count": 5, "id": "2e197a1f", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Extract the trim results\n", "alt, throttle, elevator = zip(*results)\n", "\n", "plt.rcParams[\"figure.figsize\"] = (16, 8) # Set the figure size for matplotlib plots.\n", "\n", "# Plot the trim envelope results, with required thrust and AoA indicated via a colormap\n", "fig, (axThrust, axElevator) = plt.subplots(1, 2) # Create a figure with two subplots (thrust and AoA)\n", "\n", "# Graph data for each of the sub plots (title, ax, data)\n", "graph_data = [ ('Thrust', axThrust, throttle), ('Elevator', axElevator, elevator) ]\n", "\n", "for title, ax, data in graph_data:\n", " ax.plot(alt, data, marker='o')\n", " ax.set_xlabel('Altitude (ft)')\n", " ax.set_ylabel(f'{title} (cmd-norm)')\n", " ax.set_title(f'Climb - {title}')\n", "\n", "plt.show() # Display the plot." ] }, { "cell_type": "markdown", "id": "3542ffac", "metadata": {}, "source": [ "## Define Flight Simulation Functions" ] }, { "cell_type": "markdown", "id": "bb33179d", "metadata": {}, "source": [ "### Function 1: Climb with Initial Trim\n", "\n", "This function climbs from 1,000 ft to 20,000 ft using only the initial trim solution at 1,000 ft." ] }, { "cell_type": "code", "execution_count": 6, "id": "ca39d7c5", "metadata": {}, "outputs": [], "source": [ "def fly_initial_trim(speed, gamma):\n", "\n", " # Set the initial conditions\n", " fdm['ic/h-sl-ft'] = 1000 # altitude above sea level (ft)\n", " fdm['ic/vc-kts'] = speed # calibrated airspeed (kts)\n", " fdm['ic/gamma-deg'] = gamma # flight path angle (deg)\n", "\n", " # Initialize the aircraft with initial conditions\n", " fdm.run_ic()\n", "\n", " # Trim the aircraft.\n", " fdm['simulation/do_simple_trim'] = 1\n", "\n", " climb_results = []\n", "\n", " while fdm['position/h-sl-ft'] < 20000:\n", " fdm.run()\n", " climb_results.append((fdm['position/h-sl-ft'], fdm['velocities/vc-kts'], fdm['flight-path/gamma-deg']))\n", "\n", " alts, speeds, gammas = zip(*climb_results)\n", "\n", " fig, (axSpeed, axGamma) = plt.subplots(1, 2)\n", "\n", " axSpeed.plot(alts, speeds)\n", " axGamma.plot(alts, gammas)\n", "\n", " axSpeed.set_ylabel('KCAS (kt)')\n", " axSpeed.set_xlabel('Altitude (ft)')\n", "\n", " axGamma.set_ylabel('Gamma (deg)')\n", " axGamma.set_xlabel('Altitude (ft)')\n", "\n", " plt.show()" ] }, { "cell_type": "markdown", "id": "2f51ccf3", "metadata": {}, "source": [ "### Function 2: Climb with Interpolated Trim\n", "\n", "This function climbs from 1,000 ft to 20,000 ft using interpolated throttle and elevator commands from the trim envelope." ] }, { "cell_type": "code", "execution_count": 7, "id": "680e9b37", "metadata": {}, "outputs": [], "source": [ "def fly_interpolated_trim(speed, gamma, alt, throttle, elevator):\n", "\n", " # Set the initial conditions\n", " fdm['ic/h-sl-ft'] = 1000 # altitude above sea level (ft)\n", " fdm['ic/vc-kts'] = speed # calibrated airspeed (kts)\n", " fdm['ic/gamma-deg'] = gamma # flight path angle (deg)\n", "\n", " # Initialize the aircraft with initial conditions\n", " fdm.run_ic()\n", "\n", " # Trim the aircraft.\n", " fdm['simulation/do_simple_trim'] = 1\n", "\n", " interp_climb_results = []\n", "\n", " while fdm['position/h-sl-ft'] < 20000:\n", " fdm.run()\n", "\n", " # Interpolate\n", " throttle_cmd = np.interp(fdm['position/h-sl-ft'], alt, throttle)\n", " elevator_cmd = np.interp(fdm['position/h-sl-ft'], alt, elevator)\n", "\n", " fdm['fcs/throttle-cmd-norm'] = throttle_cmd\n", " fdm['fcs/pitch-trim-cmd-norm'] = elevator_cmd\n", "\n", " interp_climb_results.append((fdm['position/h-sl-ft'], fdm['velocities/vc-kts'], fdm['flight-path/gamma-deg']))\n", "\n", " alt, speeds, gammas = zip(*interp_climb_results)\n", "\n", " fig, (axSpeed, axGamma) = plt.subplots(1, 2)\n", "\n", " axSpeed.plot(alt, speeds)\n", " axGamma.plot(alt, gammas)\n", "\n", " axSpeed.set_ylabel('KCAS (kt)')\n", " axSpeed.set_xlabel('Altitude (ft)')\n", "\n", " axGamma.set_ylabel('Gamma (deg)')\n", " axGamma.set_xlabel('Altitude (ft)')\n", "\n", " plt.show()" ] }, { "cell_type": "markdown", "id": "d8e8caeb", "metadata": {}, "source": [ "## Execute Climb Simulations\n", "\n", "Run the interpolated trim climb simulation. You can uncomment the initial trim function to compare results." ] }, { "cell_type": "code", "execution_count": 8, "id": "95b5cdbd", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Uncomment the line below to run the initial trim climb\n", "# fly_initial_trim(speed, gamma)\n", "\n", "# Run the interpolated trim climb\n", "fly_interpolated_trim(speed, gamma, alt, throttle, elevator)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.15" } }, "nbformat": 4, "nbformat_minor": 5 }