哈工大材料力学上机大作业.docx

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哈工大材料力学上机大作业.docx

哈工大材料力学上机大作业

材料力学上机大作业

 

题目名称:

应力状态分析

班号:

学号:

姓名:

 

应力状态分析

一、问题的提出

该程序可以解决的问题:

①平面应力状态,已知σx,σy,τxy和角度的情况下计算不同任意截面的应力分量,还可以计算平面应力状态主应力的大小和方向并能画出应力圆;②空间应力状态,已知σx,σy,σz,τxy等的情况下计算主应力和最大切应力,并能画出应力圆。

二、数学模型

1、平面应力状态任一斜截面上既有正应力又有切应力,公式为:

2、平面应力状态主应力大小及方向

 主应力计算公式

   

   主平面方位计算公式

   

3、最大切应力:

最大切应力发生在与主平面夹45度角的平面方位。

   其公式

   

4、应力圆

应力圆方程:

圆心:

半径:

 

5、三向应力状态

三向应力计算公式:

特征方程:

三个不变量

 

 

 

三、程序流程图

㈠平面应力计算

打开界面选择平面应力状态分析输入σx,σy,τxy和角度点击计算可计算出任意截面的应力分量以及三个主应力,主方向角和最大切应力,画出应力圆点击清除数据可进行重复计算

㈡空间应力状态计算

打开界面选择空间应力状态分析输入σx,σy,σz,τxy,τyz,τxz计算出三个主应力及最大切应力和应力圆

点击清除数据可以重复计算

四、程序源代码

1.主界面(lzd.m):

functionvarargout=lzd(varargin)

%LZDMATLABcodeforlzd.fig

%LZD,byitself,createsanewLZDorraisestheexisting

%singleton*.

%

%H=LZDreturnsthehandletoanewLZDorthehandleto

%theexistingsingleton*.

%

%LZD('CALLBACK',hObject,eventData,handles,...)callsthelocal

%functionnamedCALLBACKinLZD.Mwiththegiveninputarguments.

%

%LZD('Property','Value',...)createsanewLZDorraisesthe

%existingsingleton*.Startingfromtheleft,propertyvaluepairsare

%appliedtotheGUIbeforelzd_OpeningFcngetscalled.An

%unrecognizedpropertynameorinvalidvaluemakespropertyapplication

%stop.Allinputsarepassedtolzd_OpeningFcnviavarargin.

%

%*SeeGUIOptionsonGUIDE'sToolsmenu.Choose"GUIallowsonlyone

%instancetorun(singleton)".

%

%Seealso:

GUIDE,GUIDATA,GUIHANDLES

%Edittheabovetexttomodifytheresponsetohelplzd

%LastModifiedbyGUIDEv2.519-Jun-201322:

04:

01

%Begininitializationcode-DONOTEDIT

gui_Singleton=1;

gui_State=struct('gui_Name',mfilename,...

'gui_Singleton',gui_Singleton,...

'gui_OpeningFcn',@lzd_OpeningFcn,...

'gui_OutputFcn',@lzd_OutputFcn,...

'gui_LayoutFcn',[],...

'gui_Callback',[]);

ifnargin&&ischar(varargin{1})

gui_State.gui_Callback=str2func(varargin{1});

end

ifnargout

[varargout{1:

nargout}]=gui_mainfcn(gui_State,varargin{:

});

else

gui_mainfcn(gui_State,varargin{:

});

end

%Endinitializationcode-DONOTEDIT

%---Executesjustbeforelzdismadevisible.

functionlzd_OpeningFcn(hObject,eventdata,handles,varargin)

%Thisfunctionhasnooutputargs,seeOutputFcn.

%hObjecthandletofigure

%eventdatareserved-tobedefinedinafutureversionofMATLAB

%handlesstructurewithhandlesanduserdata(seeGUIDATA)

%varargincommandlineargumentstolzd(seeVARARGIN)

%Choosedefaultcommandlineoutputforlzd

handles.output=hObject;

%Updatehandlesstructure

guidata(hObject,handles);

%UIWAITmakeslzdwaitforuserresponse(seeUIRESUME)

%uiwait(handles.figure1);

%---Outputsfromthisfunctionarereturnedtothecommandline.

functionvarargout=lzd_OutputFcn(hObject,eventdata,handles)

%varargoutcellarrayforreturningoutputargs(seeVARARGOUT);

%hObjecthandletofigure

%eventdatareserved-tobedefinedinafutureversionofMATLAB

%handlesstructurewithhandlesanduserdata(seeGUIDATA)

%Getdefaultcommandlineoutputfromhandlesstructure

varargout{1}=handles.output;

%---Executesonbuttonpressinpushbutton1.

functionpushbutton1_Callback(hObject,eventdata,handles);

close(lzd);

pingmian;

%hObjecthandletopushbutton1(seeGCBO)

%eventdatareserved-tobedefinedinafutureversionofMATLAB

%handlesstructurewithhandlesanduserdata(seeGUIDATA)

%---Executesonbuttonpressinpushbutton2.

functionpushbutton2_Callback(hObject,eventdata,handles)

close(lzd);

kongjian;

%hObjecthandletopushbutton2(seeGCBO)

%eventdatareserved-tobedefinedinafutureversionofMATLAB

%handlesstructurewithhandlesanduserdata(seeGUIDATA)

%---Executesonbuttonpressinpushbutton3.

functionpushbutton3_Callback(hObject,eventdata,handles)

close(lzd);

%hObjecthandletopushbutton3(seeGCBO)

%eventdatareserved-tobedefinedinafutureversionofMATLAB

%handlesstructurewithhandlesanduserdata(seeGUIDATA)

%---Executesduringobjectdeletion,beforedestroyingproperties.

functionfigure1_DeleteFcn(hObject,eventdata,handles)

%hObjecthandletofigure1(seeGCBO)

%eventdatareserved-tobedefinedinafutureversionofMATLAB

%handlesstructurewithhandlesanduserdata(seeGUIDATA)

%---Executesonbuttonpressinpushbutton5.

functionpushbutton5_Callback(hObject,eventdata,handles)

%hObjecthandletopushbutton5(seeGCBO)

%eventdatareserved-tobedefinedinafutureversionofMATLAB

%handlesstructurewithhandlesanduserdata(seeGUIDATA)

close(lzd);

zuozhexinxi;

2、平面应力状态分析(pingmian.m)

functionvarargout=pingmian(varargin)

%PINGMIANMATLABcodeforpingmian.fig

%PINGMIAN,byitself,createsanewPINGMIANorraisestheexisting

%singleton*.

%

%H=PINGMIANreturnsthehandletoanewPINGMIANorthehandleto

%theexistingsingleton*.

%

%PINGMIAN('CALLBACK',hObject,eventData,handles,...)callsthelocal

%functionnamedCALLBACKinPINGMIAN.Mwiththegiveninputarguments.

%

%PINGMIAN('Property','Value',...)createsanewPINGMIANorraisesthe

%existingsingleton*.Startingfromtheleft,propertyvaluepairsare

%appliedtotheGUIbeforepingmian_OpeningFcngetscalled.An

%unrecognizedpropertynameorinvalidvaluemakespropertyapplication

%stop.Allinputsarepassedtopingmian_OpeningFcnviavarargin.

%

%*SeeGUIOptionsonGUIDE'sToolsmenu.Choose"GUIallowsonlyone

%instancetorun(singleton)".

%

%Seealso:

GUIDE,GUIDATA,GUIHANDLES

%Edittheabovetexttomodifytheresponsetohelppingmian

%LastModifiedbyGUIDEv2.519-Jun-201321:

28:

55

%Begininitializationcode-DONOTEDIT

gui_Singleton=1;

gui_State=struct('gui_Name',mfilename,...

'gui_Singleton',gui_Singleton,...

'gui_OpeningFcn',@pingmian_OpeningFcn,...

'gui_OutputFcn',@pingmian_OutputFcn,...

'gui_LayoutFcn',[],...

'gui_Callback',[]);

ifnargin&&ischar(varargin{1})

gui_State.gui_Callback=str2func(varargin{1});

end

ifnargout

[varargout{1:

nargout}]=gui_mainfcn(gui_State,varargin{:

});

else

gui_mainfcn(gui_State,varargin{:

});

end

%Endinitializationcode-DONOTEDIT

%---Executesjustbeforepingmianismadevisible.

functionpingmian_OpeningFcn(hObject,eventdata,handles,varargin)

%Thisfunctionhasnooutputargs,seeOutputFcn.

%hObjecthandletofigure

%eventdatareserved-tobedefinedinafutureversionofMATLAB

%handlesstructurewithhandlesanduserdata(seeGUIDATA)

%varargincommandlineargumentstopingmian(seeVARARGIN)

%Choosedefaultcommandlineoutputforpingmian

handles.output=hObject;

%Updatehandlesstructure

guidata(hObject,handles);

%UIWAITmakespingmianwaitforuserresponse(seeUIRESUME)

%uiwait(handles.figure1);

%---Outputsfromthisfunctionarereturnedtothecommandline.

functionvarargout=pingmian_OutputFcn(hObject,eventdata,handles)

%varargoutcellarrayforreturningoutputargs(seeVARARGOUT);

%hObjecthandletofigure

%eventdatareserved-tobedefinedinafutureversionofMATLAB

%handlesstructurewithhandlesanduserdata(seeGUIDATA)

%Getdefaultcommandlineoutputfromhandlesstructure

varargout{1}=handles.output;

functionedit1_Callback(hObject,eventdata,handles)

%hObjecthandletoedit1(seeGCBO)

%eventdatareserved-tobedefinedinafutureversionofMATLAB

%handlesstructurewithhandlesanduserdata(seeGUIDATA)

%Hints:

get(hObject,'String')returnscontentsofedit1astext

%str2double(get(hObject,'String'))returnscontentsofedit1asadouble

%---Executesduringobjectcreation,aftersettingallproperties.

functionedit1_CreateFcn(hObject,eventdata,handles)

%hObjecthandletoedit1(seeGCBO)

%eventdatareserved-tobedefinedinafutureversionofMATLAB

%handlesempty-handlesnotcreateduntilafterallCreateFcnscalled

%Hint:

editcontrolsusuallyhaveawhitebackgroundonWindows.

%SeeISPCandCOMPUTER.

ifispc&&isequal(get(hObject,'BackgroundColor'),get(0,'defaultUicontrolBackgroundColor'))

set(hObject,'BackgroundColor','white');

end

functionedit2_Callback(hObject,eventdata,handles)

%hObjecthandletoedit2(seeGCBO)

%eventdatareserved-tobedefinedinafutureversionofMATLAB

%handlesstructurewithhandlesanduserdata(seeGUIDATA)

%Hints:

get(hObject,'String')returnscontentsofedit2astext

%str2double(get(hObject,'String'))returnscontentsofedit2asadouble

%---Executesduringobjectcreation,aftersettingallproperties.

functionedit2_CreateFcn(hObject,eventdata,handles)

%hObjecthandletoedit2(seeGCBO)

%eventdatareserved-tobedefinedinafutureversionofMATLAB

%handlesempty-handlesnotcreateduntilafterallCreateFcnscalled

%Hint:

editcontrolsusuallyhaveawhitebackgroundonWindows.

%SeeISPCandCOMPUTER.

ifispc&&isequal(get(hObject,'BackgroundColor'),get(0,'defaultUicontrolBackgroundColor'))

set(hObject,'BackgroundColor','white');

end

functionedit3_Callback(hObject,eventdata,handles)

%hObjecthandletoedit3(seeGCBO)

%eventdatareserved-tobedefinedinafutureversionofMATLAB

%handlesstructurewithhandlesanduserdata(seeGUIDATA)

%Hints:

get(hObject,'String')returnscontentsofedit3astext

%str2double(get(hObject,'String'))returnscontentsofedit3asadouble

%---Executesduringobjectcreation,aftersettingallproperties.

functionedit3_CreateFcn(hObject,eventdata,handles)

%hObjecthandletoedit3(seeGCBO)

%eventdatareserved-tobedefinedinafutureversionofMATLAB

%handlesempty

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