本文介绍了锥齿轮的弯曲和接触强度计算在齿轮设计中的重要性，使用Matlab进行相关计算方法（如刘伯承计算法），并探讨了智能优化算法在相关领域的应用，如风电预测、无人机路径规划等。
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🔥 内容介绍
1. 概述
锥齿轮是一种广泛应用于汽车、航空、机械等行业的传动齿轮。它具有结构紧凑、传动平稳、承载能力大等优点。锥齿轮的强度计算是齿轮设计中的一个重要环节，它直接关系到齿轮的寿命和可靠性。
2. 弯曲强度计算
锥齿轮的弯曲强度是指齿轮在弯曲载荷作用下抵抗断裂的能力。弯曲强度计算的主要目的是确定齿轮齿根处的最大弯曲应力，并将其与齿轮材料的许用弯曲应力进行比较，以确保齿轮在正常工作条件下不会发生弯曲断裂。
锥齿轮的弯曲强度计算方法有很多种，常用的方法有刘伯承弯曲强度计算法、刘伯承接触强度计算法、刘伯承接触强度计算法等。其中，刘伯承弯曲强度计算法是最常用的方法之一。
刘伯承弯曲强度计算法的基本原理是将齿轮齿根处的弯曲应力分解为正应力和剪应力，然后将正应力和剪应力分别与齿轮材料的许用正应力和许用剪应力进行比较，以确定齿轮的弯曲强度。
3. 接触强度计算
锥齿轮的接触强度是指齿轮在接触载荷作用下抵抗齿面压痕和磨损的能力。接触强度计算的主要目的是确定齿轮齿面处的最大接触应力，并将其与齿轮材料的许用接触应力进行比较，以确保齿轮在正常工作条件下不会发生齿面压痕和磨损。
锥齿轮的接触强度计算方法有很多种，常用的方法有刘伯承接触强度计算法、刘伯承接触强度计算法、刘伯承接触强度计算法等。其中，刘伯承接触强度计算法是最常用的方法之一。
刘伯承接触强度计算法的基本原理是将齿轮齿面处的接触应力分解为正应力和剪应力，然后将正应力和剪应力分别与齿轮材料的许用正应力和许用剪应力进行比较，以确定齿轮的接触强度。
📣 部分代码
function varargout = gyf2(varargin)% GYF2 MATLAB code for gyf2.fig% GYF2, by itself, creates a new GYF2 or raises the existing% singleton*.%% H = GYF2 returns the handle to a new GYF2 or the handle to% the existing singleton*.%% GYF2('CALLBACK',hObject,eventData,handles,...) calls the local% function named CALLBACK in GYF2.M with the given input arguments.%% GYF2('Property','Value',...) creates a new GYF2 or raises the% existing singleton*. Starting from the left, property value pairs are% applied to the GUI before gyf2_OpeningFcn gets called. An% unrecognized property name or invalid value makes property application% stop. All inputs are passed to gyf2_OpeningFcn via varargin.%% *See GUI Options on GUIDE's Tools menu. Choose "GUI allows only one% instance to run (singleton)".%% See also: GUIDE, GUIDATA, GUIHANDLES% Edit the above text to modify the response to help gyf2% Last Modified by GUIDE v2.5 27-Jul-2011 21:36:06% Begin initialization code - DO NOT EDITgui_Singleton = 1;gui_State = struct('gui_Name', mfilename, ...'gui_Singleton', gui_Singleton, ...'gui_OpeningFcn', @gyf2_OpeningFcn, ...'gui_OutputFcn', @gyf2_OutputFcn, ...'gui_LayoutFcn', [] , ...'gui_Callback', []);if nargin && ischar(varargin{1})gui_State.gui_Callback = str2func(varargin{1});endif nargout[varargout{1:nargout}] = gui_mainfcn(gui_State, varargin{:});elsegui_mainfcn(gui_State, varargin{:});end% End initialization code - DO NOT EDIT% --- Executes just before gyf2 is made visible.function gyf2_OpeningFcn(hObject, eventdata, handles, varargin)% This function has no output args, see OutputFcn.% hObject handle to figure% eventdata reserved - to be defined in a future version of MATLAB% handles structure with handles and user data (see GUIDATA)% varargin command line arguments to gyf2 (see VARARGIN)% Choose default command line output for gyf2handles.output = hObject;% Update handles structureguidata(hObject, handles);% UIWAIT makes gyf2 wait for user response (see UIRESUME)% uiwait(handles.figure1);% --- Outputs from this function are returned to the command line.function varargout = gyf2_OutputFcn(hObject, eventdata, handles)% varargout cell array for returning output args (see VARARGOUT);% hObject handle to figure% eventdata reserved - to be defined in a future version of MATLAB% handles structure with handles and user data (see GUIDATA)% Get default command line output from handles structurevarargout{1} = handles.output;% --- Executes on button press in radiobutton1.function radiobutton1_Callback(hObject, eventdata, handles)% hObject handle to radiobutton1 (see GCBO)% eventdata reserved - to be defined in a future version of MATLAB% handles structure with handles and user data (see GUIDATA)% Hint: get(hObject,'Value') returns toggle state of radiobutton1function edit1_Callback(hObject, eventdata, handles)% hObject handle to edit1 (see GCBO)% eventdata reserved - to be defined in a future version of MATLAB% handles structure with handles and user data (see GUIDATA)% Hints: get(hObject,'String') returns contents of edit1 as text% str2double(get(hObject,'String')) returns contents of edit1 as a double% --- Executes during object creation, after setting all properties.function edit1_CreateFcn(hObject, eventdata, handles)% hObject handle to edit1 (see GCBO)% eventdata reserved - to be defined in a future version of MATLAB% handles empty - handles not created until after all CreateFcns called% Hint: edit controls usually have a white background on Windows.% See ISPC and COMPUTER.if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))set(hObject,'BackgroundColor','white');end% --- Executes on button press in pushbutton1.function pushbutton1_Callback(hObject, eventdata, handles)% hObject handle to pushbutton1 (see GCBO)% eventdata reserved - to be defined in a future version of MATLAB% handles structure with handles and user data (see GUIDATA)function edit2_Callback(hObject, eventdata, handles)% hObject handle to edit2 (see GCBO)% eventdata reserved - to be defined in a future version of MATLAB% handles structure with handles and user data (see GUIDATA)% Hints: get(hObject,'String') returns contents of edit2 as text% str2double(get(hObject,'String')) returns contents of edit2 as a double% --- Executes during object creation, after setting all properties.function edit2_CreateFcn(hObject, eventdata, handles)% hObject handle to edit2 (see GCBO)% eventdata reserved - to be defined in a future version of MATLAB% handles empty - handles not created until after all CreateFcns called% Hint: edit controls usually have a white background on Windows.% See ISPC and COMPUTER.if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))set(hObject,'BackgroundColor','white');endfunction edit20_Callback(hObject, eventdata, handles)% hObject handle to edit20 (see GCBO)% eventdata reserved - to be defined in a future version of MATLAB% handles structure with handles and user data (see GUIDATA)% Hints: get(hObject,'String') returns contents of edit20 as text% str2double(get(hObject,'String')) returns contents of edit20 as a double% --- Executes during object creation, after setting all properties.function edit20_CreateFcn(hObject, eventdata, handles)% hObject handle to edit20 (see GCBO)% eventdata reserved - to be defined in a future version of MATLAB% handles empty - handles not created until after all CreateFcns called% Hint: edit controls usually have a white background on Windows.% See ISPC and COMPUTER.if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))set(hObject,'BackgroundColor','white');endfunction edit21_Callback(hObject, eventdata, handles)% hObject handle to edit21 (see GCBO)% eventdata reserved - to be defined in a future version of MATLAB% handles structure with handles and user data (see GUIDATA)% Hints: get(hObject,'String') returns contents of edit21 as text% str2double(get(hObject,'String')) returns contents of edit21 as a double% --- Executes during object creation, after setting all properties.function edit21_CreateFcn(hObject, eventdata, handles)% hObject handle to edit21 (see GCBO)% eventdata reserved - to be defined in a future version of MATLAB% handles empty - handles not created until after all CreateFcns called% Hint: edit controls usually have a white background on Windows.% See ISPC and COMPUTER.if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))set(hObject,'BackgroundColor','white');endfunction edit22_Callback(hObject, eventdata, handles)% hObject handle to edit22 (see GCBO)% eventdata reserved - to be defined in a future version of MATLAB% handles structure with handles and user data (see GUIDATA)% Hints: get(hObject,'String') returns contents of edit22 as text% str2double(get(hObject,'String')) returns contents of edit22 as a double% --- Executes during object creation, after setting all properties.function edit22_CreateFcn(hObject, eventdata, handles)% hObject handle to edit22 (see GCBO)% eventdata reserved - to be defined in a future version of MATLAB% handles empty - handles not created until after all CreateFcns called% Hint: edit controls usually have a white background on Windows.% See ISPC and COMPUTER.if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))set(hObject,'BackgroundColor','white');endfunction edit23_Callback(hObject, eventdata, handles)% hObject handle to edit23 (see GCBO)% eventdata reserved - to be defined in a future version of MATLAB% handles structure with handles and user data (see GUIDATA)% Hints: get(hObject,'String') returns contents of edit23 as text% str2double(get(hObject,'String')) returns contents of edit23 as a double% --- Executes during object creation, after setting all properties.function edit23_CreateFcn(hObject, eventdata, handles)% hObject handle to edit23 (see GCBO)% eventdata reserved - to be defined in a future version of MATLAB% handles empty - handles not created until after all CreateFcns called% Hint: edit controls usually have a white background on Windows.% See ISPC and COMPUTER.if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))set(hObject,'BackgroundColor','white');endfunction edit49_Callback(hObject, eventdata, handles)% hObject handle to edit49 (see GCBO)% eventdata reserved - to be defined in a future version of MATLAB% handles structure with handles and user data (see GUIDATA)% Hints: get(hObject,'String') returns contents of edit49 as text% str2double(get(hObject,'String')) returns contents of edit49 as a double% --- Executes during object creation, after setting all properties.function edit49_CreateFcn(hObject, eventdata, handles)% hObject handle to edit49 (see GCBO)% eventdata reserved - to be defined in a future version of MATLAB% handles empty - handles not created until after all CreateFcns called% Hint: edit controls usually have a white background on Windows.% See ISPC and COMPUTER.if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))set(hObject,'BackgroundColor','white');endfunction edit50_Callback(hObject, eventdata, handles)% hObject handle to edit50 (see GCBO)% eventdata reserved - to be defined in a future version of MATLAB% handles structure with handles and user data (see GUIDATA)% Hints: get(hObject,'String') returns contents of edit50 as text% str2double(get(hObject,'String')) returns contents of edit50 as a double% --- Executes during object creation, after setting all properties.function edit50_CreateFcn(hObject, eventdata, handles)% hObject handle to edit50 (see GCBO)% eventdata reserved - to be defined in a future version of MATLAB% handles empty - handles not created until after all CreateFcns called% Hint: edit controls usually have a white background on Windows.% See ISPC and COMPUTER.if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))set(hObject,'BackgroundColor','white');endfunction edit51_Callback(hObject, eventdata, handles)% hObject handle to edit51 (see GCBO)% eventdata reserved - to be defined in a future version of MATLAB% handles structure with handles and user data (see GUIDATA)% Hints: get(hObject,'String') returns contents of edit51 as text% str2double(get(hObject,'String')) returns contents of edit51 as a double% --- Executes during object creation, after setting all properties.function edit51_CreateFcn(hObject, eventdata, handles)% hObject handle to edit51 (see GCBO)% eventdata reserved - to be defined in a future version of MATLAB% handles empty - handles not created until after all CreateFcns called% Hint: edit controls usually have a white background on Windows.% See ISPC and COMPUTER.if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))set(hObject,'BackgroundColor','white');end% --------------------------------------------------------------------function Untitled_1_Callback(hObject, eventdata, handles)% hObject handle to Untitled_1 (see GCBO)% eventdata reserved - to be defined in a future version of MATLAB% handles structure with handles and user data (see GUIDATA)% --------------------------------------------------------------------function Untitled_2_Callback(hObject, eventdata, handles)% hObject handle to Untitled_2 (see GCBO)% eventdata reserved - to be defined in a future version of MATLAB% handles structure with handles and user data (see GUIDATA)gyf% --------------------------------------------------------------------function Untitled_3_Callback(hObject, eventdata, handles)% hObject handle to Untitled_3 (see GCBO)% eventdata reserved - to be defined in a future version of MATLAB% handles structure with handles and user data (see GUIDATA)touchfague% --------------------------------------------------------------------function Untitled_4_Callback(hObject, eventdata, handles)% hObject handle to Untitled_4 (see GCBO)% eventdata reserved - to be defined in a future version of MATLAB% handles structure with handles and user data (see GUIDATA)flexuralfatigue_1;% --------------------------------------------------------------------function Untitled_5_Callback(hObject, eventdata, handles)% hObject handle to Untitled_5 (see GCBO)% eventdata reserved - to be defined in a future version of MATLAB% handles structure with handles and user data (see GUIDATA)flexuralfatigue_2;
⛳️ 运行结果
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4. 结语
锥齿轮的弯曲强度计算和接触强度计算是齿轮设计中的两个重要环节。通过对锥齿轮的弯曲强度和接触强度进行计算，可以确保齿轮在正常工作条件下不会发生弯曲断裂和齿面压痕和磨损，从而提高齿轮的寿命和可靠性。
🔗 参考文献
[1] 盖苗苗.JS40矿用减速器的优化及可靠性分析[D].河南科技大学,2015.DOI:10.7666/d.D01141977.
[2] 冯刚,李彦彬,高虹霓,等.裂纹对弧齿锥齿轮接触应力影响研究[J].机械强度, 2014, 036(004):631-635.DOI:CNKI:SUN:JXQD.0.2014-04-026.
[3] 魏文波.航空弧齿锥齿轮结构改进和喷油润滑的数值分析研究[D].北京交通大学,2016.DOI:10.7666/d.Y3126901.
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