How to make curve fitting by spline between two Arcs
If i would like to get spline equation the fits the formula below "cycloidal pinion" as i would like to make an arc in tip of the tooth how to make it?
% Define Parameters
pitchDiameter = 6; % Diameter of the rolling circle
rollerDiameter = 0.75; % Diameter of a smaller circle centered on the focal point of the rolling circle
noOfRollers = 6; % number of rollers (teeth) in pinion
noOfTeeth = 5; % desired number of teeth in rack assembly
webThickness = 2; % distance from center of roller at lowest point, and bottom edge of rack
% Calculated Constants
pi_val = pi;
rollerRadius = rollerDiameter / 2;
pitchRadius = pitchDiameter / 2;
pitchCircumference = pitchDiameter * pi_val;
% Cycloid Parametric Equations
theta = linspace(0, 2*pi_val, 100); % Create a range of angles
xValuesA = pitchRadius * (theta – sin(theta)); % X values for cycloid
yValuesA = pitchRadius * (1 – cos(theta)); % Y values for cycloid
% Offset Cycloid
offsetSecondCycloid = @(input) -input + (pitchCircumference / noOfRollers);
xValuesB = offsetSecondCycloid(xValuesA);
yValuesB = yValuesA;
% Plot Basic and Offset Cycloids
figure;
plot(xValuesA, yValuesA, ‘–‘, xValuesB, yValuesB, ‘–‘);
title(‘Basic and Offset Cycloid Curves’);
xlabel(‘X’);
ylabel(‘Y’);
axis equal;
grid on;
hold on;If i would like to get spline equation the fits the formula below "cycloidal pinion" as i would like to make an arc in tip of the tooth how to make it?
% Define Parameters
pitchDiameter = 6; % Diameter of the rolling circle
rollerDiameter = 0.75; % Diameter of a smaller circle centered on the focal point of the rolling circle
noOfRollers = 6; % number of rollers (teeth) in pinion
noOfTeeth = 5; % desired number of teeth in rack assembly
webThickness = 2; % distance from center of roller at lowest point, and bottom edge of rack
% Calculated Constants
pi_val = pi;
rollerRadius = rollerDiameter / 2;
pitchRadius = pitchDiameter / 2;
pitchCircumference = pitchDiameter * pi_val;
% Cycloid Parametric Equations
theta = linspace(0, 2*pi_val, 100); % Create a range of angles
xValuesA = pitchRadius * (theta – sin(theta)); % X values for cycloid
yValuesA = pitchRadius * (1 – cos(theta)); % Y values for cycloid
% Offset Cycloid
offsetSecondCycloid = @(input) -input + (pitchCircumference / noOfRollers);
xValuesB = offsetSecondCycloid(xValuesA);
yValuesB = yValuesA;
% Plot Basic and Offset Cycloids
figure;
plot(xValuesA, yValuesA, ‘–‘, xValuesB, yValuesB, ‘–‘);
title(‘Basic and Offset Cycloid Curves’);
xlabel(‘X’);
ylabel(‘Y’);
axis equal;
grid on;
hold on; If i would like to get spline equation the fits the formula below "cycloidal pinion" as i would like to make an arc in tip of the tooth how to make it?
% Define Parameters
pitchDiameter = 6; % Diameter of the rolling circle
rollerDiameter = 0.75; % Diameter of a smaller circle centered on the focal point of the rolling circle
noOfRollers = 6; % number of rollers (teeth) in pinion
noOfTeeth = 5; % desired number of teeth in rack assembly
webThickness = 2; % distance from center of roller at lowest point, and bottom edge of rack
% Calculated Constants
pi_val = pi;
rollerRadius = rollerDiameter / 2;
pitchRadius = pitchDiameter / 2;
pitchCircumference = pitchDiameter * pi_val;
% Cycloid Parametric Equations
theta = linspace(0, 2*pi_val, 100); % Create a range of angles
xValuesA = pitchRadius * (theta – sin(theta)); % X values for cycloid
yValuesA = pitchRadius * (1 – cos(theta)); % Y values for cycloid
% Offset Cycloid
offsetSecondCycloid = @(input) -input + (pitchCircumference / noOfRollers);
xValuesB = offsetSecondCycloid(xValuesA);
yValuesB = yValuesA;
% Plot Basic and Offset Cycloids
figure;
plot(xValuesA, yValuesA, ‘–‘, xValuesB, yValuesB, ‘–‘);
title(‘Basic and Offset Cycloid Curves’);
xlabel(‘X’);
ylabel(‘Y’);
axis equal;
grid on;
hold on; matlab, gears, curve fitting MATLAB Answers — New Questions