multi speed gearbox in matlab

To simulate a multi-speed gearbox in Matlab, you can use the Simulink environment. Simulink is a graphical programming language that can be used to model and simulate dynamic systems.

Here are the steps to create a simple multi-speed gearbox simulation:

1. Open Simulink and create a new model.
2. Add a sine wave block to represent the input torque to the gearbox.
3. Add a multi-rate switch block to switch between gears at different engine speeds. You can use a lookup table to specify the gear ratios for different engine speeds.
4. Add a second order mechanical rotational block to model the gearbox dynamics. The output of this block will represent the rotational speed of the wheels.
5. Add scope blocks to visualize the input and output torque and the speed of the wheels.

Here is an example model that you can modify to simulate a multi-speed gearbox:

main.m
% Define the input torque
amplitude = 100; % Nm
frequency = 10; % Hz
torque = timeseries(amplitude*sin(2*pi*frequency*(0:0.01:10)),0:0.01:10);

% Define the gear ratios and engine speeds
gear_ratios = [4.23 2.51 1.67 1.23 1]; % Gear ratios
engine_speeds = [1000 2000 3000 4000 5000]; % Engine speeds
lookup_table = [engine_speeds' gear_ratios']; % Create a lookup table

% Define the simulation parameters
initial_speed = 0; % Initial speed of the wheels
final_time = 5; % Simulation time
solver = 'ode4'; % Solver type

% Simulate the model
sim('multi_speed_gearbox')

% Plot the results
figure()
subplot(3,1,1)
plot(input_torque)
ylabel('Input torque (Nm)')
title('Multi-speed gearbox simulation')
subplot(3,1,2)
plot(output_torque)
ylabel('Output torque (Nm)')
subplot(3,1,3)
plot(wheels_speed)
ylabel('Wheels speed (rad/s)')
xlabel('Time (s)')
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In this example, we create a sine wave block to represent the input torque to the gearbox. We also create a lookup table to specify the gear ratios for different engine speeds. The multi-rate switch block is used to switch between the gears based on the current engine speed.

Finally, we use the second order mechanical rotational block to model the gearbox dynamics. The block parameters can be adjusted to match the characteristics of the actual gearbox.

This example is for a simple multi-speed gearbox simulation. Depending on what you want to model, you might need to add more complexity to the model.