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109
Examples/2D/Ball_Bearing/Scripts_Data/sm_ball_bearing_testrig_param.m
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% Copyright 2018 The MathWorks, Inc. | ||
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% Bearing geometry | ||
bearing.D = 0.1; % Outer diameter (m) | ||
bearing.d = 0.04; % Inner diameter (m) | ||
bearing.b = 0.02; % Width (m) | ||
bearing.rsh = 0.002; % Chamfer radius (m) | ||
bearing.nth = 35; % Half of sweep angle of race channel (deg) | ||
bearing.ball.rad = 0.0075; % Radius of ball (m) | ||
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% Create the cross section profile for the races in the bearing. | ||
% These calculations assume that the ball is exactly between the outer | ||
% radius and the inner radius of the bearing. | ||
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temp_outer_race_profile = Extr_Data_Block_NotchCircle(... | ||
bearing.b,... | ||
(bearing.D/4-bearing.d/4-bearing.ball.rad*cosd(bearing.nth)),... | ||
bearing.ball.rad,... | ||
bearing.nth,... | ||
bearing.rsh); | ||
bearing.outer_race.xc = rot90(temp_outer_race_profile + ... | ||
repmat([0 (bearing.D+bearing.d)/4+bearing.ball.rad*cosd(bearing.nth)],size(temp_outer_race_profile,1),1),2); | ||
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temp_inner_race_profile = flipud(temp_outer_race_profile).*repmat([1 -1],size(temp_outer_race_profile,1),1); | ||
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bearing.inner_race.xc = rot90(temp_inner_race_profile + ... | ||
repmat([0 (bearing.D+bearing.d)/4-bearing.ball.rad*cosd(bearing.nth)],size(temp_inner_race_profile,1),1),2); | ||
%{ | ||
Extr_Data_Custom(... | ||
[bearing.outer_race.xc; | ||
bearing.inner_race.xc; | ||
bearing.inner_race.xc(1,:); | ||
bearing.outer_race.xc(end,:)]); | ||
%} | ||
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% Inner and outer race parameters | ||
bearing.outer_race.rho = 7000; | ||
bearing.outer_race.clr = [0.8 0.8 0.5]; | ||
bearing.outer_race.opc = 1; | ||
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bearing.outer_race.mark_clr = [0.6 0.6 0.4]; | ||
bearing.outer_race.mark_opc = 1; | ||
bearing.outer_race.mark_xc = ... | ||
[1.08 1; 1.08 -1; 1.12 -1; 1.12 1].* ... | ||
repmat([(bearing.D+bearing.d)/4+bearing.ball.rad bearing.b*0.51],4,1); | ||
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bearing.inner_race.rho = 7000; | ||
bearing.inner_race.clr = [0.8 0.8 0.5]; | ||
bearing.inner_race.opc = 1; | ||
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bearing.inner_race.mark_clr = [0.6 0.6 0.4]; | ||
bearing.inner_race.mark_opc = 1; | ||
bearing.inner_race.mark_xc = ... | ||
[0.90 1; 0.90 -1; 0.97 -1; 0.97 1].* ... | ||
repmat([(bearing.D+bearing.d)/4-bearing.ball.rad bearing.b*0.51],4,1); | ||
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% Ball parameters | ||
bearing.ball.rho = 7000; | ||
bearing.ball.cage_b = 1e-8; | ||
bearing.ball.clr = [0.6 0.6 0.6]; | ||
bearing.ball.opc = 1; | ||
bearing.ball.mark.clr = [0.9 0.9 0.9]; | ||
bearing.ball.mark.opc = 1; | ||
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% Cage parameters | ||
bearing.cage.height = bearing.ball.rad*(cosd(bearing.nth))*2*0.5; | ||
bearing.cage.rad_i = bearing.ball.rad*1.001; | ||
bearing.cage.rad_o = bearing.cage.rad_i*1.1; | ||
bearing.cage.thk = (bearing.cage.rad_o-bearing.cage.rad_i)*2; | ||
bearing.cage.loop_xc = [... | ||
bearing.cage.rad_o -bearing.cage.height/2; | ||
bearing.cage.rad_o bearing.cage.height/2; | ||
bearing.cage.rad_i bearing.cage.height/2; | ||
bearing.cage.rad_i -bearing.cage.height/2]; | ||
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bearing.cage.web.outerang = ... | ||
360/8/2-atan2d(bearing.cage.rad_o,(bearing.D+bearing.d)/4+bearing.cage.height/2); | ||
bearing.cage.web.innerang = ... | ||
360/8/2-atan2d(bearing.cage.rad_o,(bearing.D+bearing.d)/4-bearing.cage.height/2); | ||
bearing.cage.web.centerang = ... | ||
360/8/2-atan2d(bearing.cage.rad_o,(bearing.D+bearing.d)/4); | ||
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bearing.cage.web.outerrad = sqrt( ... | ||
((bearing.D+bearing.d)/4+bearing.cage.height/2)^2 + bearing.cage.rad_o^2); | ||
bearing.cage.web.innerrad = sqrt( ... | ||
((bearing.D+bearing.d)/4-bearing.cage.height/2)^2 + bearing.cage.rad_o^2); | ||
bearing.cage.web.centerrad = (bearing.cage.web.outerrad+bearing.cage.web.innerrad)/2; | ||
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bearing.cage.web_xc = ... | ||
[[cosd(linspace(-bearing.cage.web.outerang,bearing.cage.web.outerang,25))' ... | ||
sind(linspace(-bearing.cage.web.outerang,bearing.cage.web.outerang,25))']* ... | ||
bearing.cage.web.outerrad; | ||
[cosd(linspace(bearing.cage.web.innerang,-bearing.cage.web.innerang,25))' ... | ||
sind(linspace(bearing.cage.web.innerang,-bearing.cage.web.innerang,25))']* ... | ||
bearing.cage.web.innerrad] ... | ||
-repmat([bearing.cage.web.centerrad 0],2*25,1); | ||
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bearing.cage.rho = 7000; | ||
bearing.cage.clr = [1 1 1]*0.9; | ||
bearing.cage.opc = 1; | ||
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% Contact force parameters | ||
bearing.ball.k = 1e5; | ||
bearing.ball.b = 1e3; | ||
bearing.ball.muk = 0.7; | ||
bearing.ball.mus = 0.9; | ||
bearing.ball.vth = 1e-2; | ||
bearing.ball.preload = 5; |
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Examples/2D/Ball_Bearing/Scripts_Data/sm_ball_bearing_testrig_plot1spd.m
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% Code to plot simulation results from sm_ball_bearing_testrig | ||
%% Plot Description: | ||
% | ||
% The plot below shows speeds relative to the inner race. | ||
% | ||
% Copyright 2018 The MathWorks, Inc. | ||
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% Generate simulation results if they don't exist | ||
if ~exist('simlog_sm_ball_bearing_testrig', 'var') | ||
sim('sm_ball_bearing_testrig') | ||
end | ||
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% Reuse figure if it exists, else create new figure | ||
if ~exist('h1_sm_ball_bearing_testrig', 'var') || ... | ||
~isgraphics(h1_sm_ball_bearing_testrig, 'figure') | ||
h1_sm_ball_bearing_testrig = figure('Name', 'sm_ball_bearing_testrig'); | ||
end | ||
figure(h1_sm_ball_bearing_testrig) | ||
clf(h1_sm_ball_bearing_testrig) | ||
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temp_colororder = get(gca,'defaultAxesColorOrder'); | ||
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% Get simulation results | ||
simlog_t = simlog_sm_ball_bearing_testrig.Ball_Bearing.Planar.Rz.w.series.time; | ||
simlog_wOR = simlog_sm_ball_bearing_testrig.Ball_Bearing.Planar.Rz.w.series.values('rpm'); | ||
simlog_wCa = simlog_sm_ball_bearing_testrig.Ball_Bearing.Revolute_Inner_Cage.Rz.w.series.values('rpm'); | ||
simlog_cOut = logsout_sm_ball_bearing_testrig.get('cage_output'); | ||
simlog_trq = logsout_sm_ball_bearing_testrig.get('torque'); | ||
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% Plot results | ||
simlog_handles(1) = subplot(2, 1, 1); | ||
plot(simlog_t, simlog_wOR, simlog_t, simlog_wCa, 'LineWidth', 1) | ||
hold off | ||
grid on | ||
title('Speed Relative to Inner Race') | ||
ylabel('Speed (RPM)') | ||
legend({'Outer Race','Cage'},'Location','Best'); | ||
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simlog_handles(2) = subplot(2, 1, 2); | ||
plot(simlog_cOut.Values.Time, simlog_cOut.Values.Data, 'LineWidth', 1) | ||
title('Normal Force on Balls from Outer Race') | ||
ylabel('Force (N)') | ||
grid on | ||
xlabel('Time (s)') | ||
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linkaxes(simlog_handles, 'x') | ||
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% Remove temporary variables | ||
clear simlog_t simlog_handles | ||
clear simlog_trq simlog_wOR simlog_wCa simlog_cOut temp_colororder | ||
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Examples/2D/Ball_Bearing/startup_sm_ball_bearing_testrig.m
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% Copyright 2018 The MathWorks, Inc. | ||
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addpath(pwd) | ||
addpath([pwd filesep 'Libraries']); | ||
addpath([pwd filesep 'Scripts_Data']); | ||
addpath([pwd filesep 'Images']); | ||
addpath([pwd filesep 'Animations']); | ||
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% Documentation excluded for zip file on File Exchange | ||
if(exist([pwd filesep 'html' filesep 'html'],'dir')) | ||
addpath([pwd filesep 'html' filesep 'html']); | ||
end | ||
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sm_ball_bearing_testrig_param | ||
sm_ball_bearing_testrig |
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% CAM PARAMETERS | ||
% Copyright 2014-2018 The MathWorks, Inc. | ||
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Cam_PARAM.Cam.Radius_rev = 2; % cm | ||
Cam_PARAM.Cam.Radius_tip = 1; % cm | ||
Cam_PARAM.Cam.Dist_ctrs = 2; % cm | ||
Cam_PARAM.Cam.Thickness = 1; % cm | ||
Cam_PARAM.Cam.Theta1 = acos((Cam_PARAM.Cam.Radius_rev-Cam_PARAM.Cam.Radius_tip)/Cam_PARAM.Cam.Dist_ctrs)*180/pi; | ||
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Cam_PARAM.Roller.Radius = 0.75; % cm | ||
Cam_PARAM.Roller.Thickness = 2; % cm | ||
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%Extr_Data_Ring(1.5,0,0,90,'plot') | ||
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Cam_PARAM.Follower.Spring_k = 10; % N/m | ||
Cam_PARAM.Follower.Damper_b = 1; % N/(m/s) | ||
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Cam_PARAM.Follower.Length = 7.25; % cm | ||
Cam_PARAM.Follower.Shaft_Rad = 0.3; % cm | ||
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Cam_PARAM.Follower.Housing.Length = 2; % cm | ||
Cam_PARAM.Follower.Housing.Rad = 0.5; % cm | ||
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Cam_PARAM.ContactCF.Stiffness = 1e3; | ||
Cam_PARAM.ContactCF.Damping = 10; | ||
Cam_PARAM.ContactCF.Filter = 1e-4; | ||
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Cam_PARAM.Rocker.Pushrod.Offset= 3; | ||
Cam_PARAM.Rocker.Pushrod.End_rad = 1; | ||
Cam_PARAM.Rocker.Pushrod.Thickness = 1; | ||
Cam_PARAM.Rocker.Center.Rad = 1.25; | ||
Cam_PARAM.Rocker.Valve.Offset = 6; | ||
Cam_PARAM.Rocker.Valve.End_rad = 0.5; | ||
Cam_PARAM.Rocker.Pivot_rad = 0.5; | ||
Cam_PARAM.Rocker.Pivot_len = 2; | ||
Cam_PARAM.Rocker.Pivot_camsh_offset = 10; | ||
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Cam_PARAM.Valve.Stem.Radius = 0.15; | ||
Cam_PARAM.Valve.Stem.Length = 10; | ||
Cam_PARAM.Valve.Head.Radius = 1; | ||
Cam_PARAM.Valve.Head.Height = 0.5; | ||
Cam_PARAM.Valve.Head.Thickness = 0.1; | ||
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extr1 = Extr_Data_Ellipse(Cam_PARAM.Valve.Head.Radius,Cam_PARAM.Valve.Head.Height,180,270,1); | ||
extr2 = extr1+repmat([Cam_PARAM.Valve.Head.Radius -Cam_PARAM.Valve.Stem.Length],size(extr1,1),1); | ||
extr3 = [0 0;extr2;extr2(end,:)+[0 -Cam_PARAM.Valve.Head.Thickness]]; | ||
Cam_PARAM.Valve.Extr_Data = flipud([0 0;extr3+repmat([Cam_PARAM.Valve.Stem.Radius 0],size(extr3,1),1);[0 extr3(end,2)]]); | ||
clear extr1 extr2 extr3 |
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<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"> | ||
<!--Copyright 2018 The MathWorks, Inc.--> | ||
<html xmlns:mso="urn:schemas-microsoft-com:office:office" xmlns:msdt="uuid:C2F41010-65B3-11d1-A29F-00AA00C14882"><head> | ||
<!--[if gte mso 9]><xml> | ||
<mso:CustomDocumentProperties> | ||
<mso:_dlc_DocId msdt:dt="string">FV3TYEPWNNQC-24-73778</mso:_dlc_DocId> | ||
<mso:_dlc_DocIdItemGuid msdt:dt="string">2f4411c5-fd1b-4000-9527-a7c93fba170f</mso:_dlc_DocIdItemGuid> | ||
<mso:_dlc_DocIdUrl msdt:dt="string">http://sharepoint/marketing/product/da/physmod/ecl/_layouts/15/DocIdRedir.aspx?ID=FV3TYEPWNNQC-24-73778, FV3TYEPWNNQC-24-73778</mso:_dlc_DocIdUrl> | ||
</mso:CustomDocumentProperties> | ||
</xml><![endif]--> | ||
</head><body bgColor="FFFFFF"><html> | ||
<title>Cam Follower Contact Forces</title> | ||
<img vspace="5" hspace="5" src="Cam_Follower_Contact_Help_IMAGE.png" alt=""> | ||
</body></html> |
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