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| unit Unit1;
interface
uses
Windows, Messages, SysUtils, Variants, Classes, Graphics, Controls, Forms,
Dialogs, Menus, Math, StdCtrls, ExtCtrls, TeEngine, Series, TeeProcs,
Chart, ComCtrls, TeeFunci;
const
Pi=3.1415926 ;
type
TForm1 = class(TForm)
MainMenu1: TMainMenu;
VtA1: TMenuItem;
N1: TMenuItem;
N2: TMenuItem;
N3: TMenuItem;
N6: TMenuItem;
N7: TMenuItem;
Label1: TLabel;
Edit1: TEdit;
Label2: TLabel;
Edit2: TEdit;
Label3: TLabel;
Edit3: TEdit;
Label4: TLabel;
Edit4: TEdit;
Label5: TLabel; 89
Edit5: TEdit;
Label6: TLabel;
Edit6: TEdit;
Label7: TLabel;
Edit7: TEdit;
Label8: TLabel;
N8: TMenuItem;
N9: TMenuItem;
N10: TMenuItem;
N11: TMenuItem;
PageControl1: TPageControl;
TabSheet1: TTabSheet;
Chart1: TChart;
Series1: TLineSeries;
TabSheet2: TTabSheet;
Chart2: TChart;
Series2: TLineSeries;
TabSheet3: TTabSheet;
Chart3: TChart;
Series3: TLineSeries;
Series4: TLineSeries;
TeeFunction1: THighTeeFunction;
Series5: TLineSeries;
TeeFunction2: THighTeeFunction;
Series6: TLineSeries;
Series7: TLineSeries;
TabSheet4: TTabSheet;
Chart4: TChart;
N4: TMenuItem; 90
N12: TMenuItem;
Series8: TLineSeries;
Series9: TLineSeries;
Series10: TLineSeries;
Series11: TLineSeries;
Series12: TLineSeries;
TabSheet5: TTabSheet;
Chart5: TChart;
Series13: TLineSeries;
Series14: TLineSeries;
Series15: TLineSeries;
Series16: TLineSeries;
N5: TMenuItem;
N13: TMenuItem;
procedure N7Click(Sender: TObject);
procedure N5Click(Sender: TObject);
procedure N8Click(Sender: TObject);
procedure N2Click(Sender: TObject);
procedure FormCreate(Sender: TObject);
procedure N10Click(Sender: TObject);
procedure N9Click(Sender: TObject);
procedure OnCloseQuery(Sender: TObject; var CanClose: Boolean);
procedure N12Click(Sender: TObject);
procedure N4Click(Sender: TObject);
private
{ Private declarations }
public
{ Public declarations }
end; 91
var
Form1: TForm1;
v0,dt,hr,m0,u,G00:real;
m,n,po,i,j,k0,k1:integer;
a,AA:array[1..11] of real;
b,BB:array[1..8] of real;
c,CC:array[1..8] of real;
F1,F2,Fx ,x,O, J1:Real;
implementation
uses Unit2, Unit3 , Unit4;
{$R *.dfm}
procedure TForm1.N7Click(Sender: TObject); // про програму
begin
form2.show;
end;
procedure TForm1.N5Click(Sender: TObject); //малюнок
begin
form3.show;
end;
procedure TForm1.N8Click(Sender: TObject); //вихід
begin
close;
end;
procedure TForm1.N2Click(Sender: TObject); //очистити
begin
Edit1.Text:=' ';
Edit2.Text:=' ';
Edit3.Text:=' ';
Edit4.Text:=' '; 92
Edit5.Text:=' ';
Edit6.Text:=' ';
Edit7.Text:=' ';
end;
procedure TForm1.FormCreate(Sender: TObject); //формування a, b,c
begin
a[1]:=7.999999999; b[1]:= 0.79788456; c[1]:=-0.0623347304;
a[2]:=-42.6666664204; b[2]:=-0.0125642405 ; c[2]:=0.0040403239;
a[3]:=102.3999900866; b[3]:=0.0017870944 ; c[3]:=-0.0010089872;
a[4]:=-130.0315901993; b[4]:=-0.0006740148 ; c[4]:=0.0005366169 ;
a[5]:=101.1345438222; b[5]:=0.0004100676 ; c[5]:=-0.0003992825 ;
a[6]:=-52.9524371745; b[6]:=-0.0002543955 ; c[6]:=0.0002755037;
a[7]:=19.8983857672; b[7]:=0.0001107299 ; c[7]:=-0.0001270039 ;
a[8]:=-5.6024572636; b[8]:=-0.0000226238 ; c[8]:= 0.0000268482;
a[9]:=1.2014677449;
a[10]:=-0.1867371001;
a[11]:=0.0162475465;
end;
procedure TForm1.N10Click(Sender: TObject); // автоматично ввести дані
begin
v0:=0.02 ;
Edit1.Text:=Floattostr(v0) ;
m:=40 ;
Edit2.Text:=IntToStr(m);
n:=50 ;
Edit3.Text:=IntToStr(n) ;
po:=8 ;
Edit4.Text:=IntToStr(po) ;
hr:=0.0005 ; 93
Edit5.Text:=Floattostr(hr) ;
k0:=60 ;
Edit6.Text:=IntToStr(k0) ;
k1:=60 ;
Edit7.Text:=IntToStr(k1) ;
end;
procedure TForm1.N9Click(Sender: TObject);
//визначаємо тип даних
var
t,tetam, F,vo :array[0..40]of real;
z1,v1,q, Sigma :array[0..50]of real;
Pn1,Vn1 ,SS :array[0..40,0..50]of real;
TetaB,P,V,P0,VV0 ,ff :array[0..40,0..60]of real;
k : integer;
s,t0,F0,v00,DtetaB,tetam1, tetam2,ZZ1,ZZ2 :real;
Omega :array[0..60]of real;
Beta :array[0..40,0..40]of real;
Ip,Iv :real;{:array[0..40,0..50]of real; }
DOmega:real;
SumB, SumC, SumA: real;
//початок обрахунку
begin
PageControl1.Visible:=True;
v0:= StrToFloat(Edit1.Text) ;
m:= StrToInt(Edit2.Text) ;
n:= StrToInt(Edit3.Text) ;
po:= StrToInt(Edit4.Text) ;
hr:= StrToFloat(Edit5.Text) ;
k0:= StrToInt(Edit6.Text) ; 94
k1:= StrToInt(Edit7.Text) ;
x:=8 ;
//розрахунок допоміжних параметрів
dt:=2/m ;
m0:= po*hr;
u:=(4/3)*Pi*m0*(3-3*hr+Sqr(hr));
G00:=Power(u,-1);
// визначаємо Fx
begin
begin
SumB:=0;
SumC:=0;
for i:=1 to 8 do
begin
BB[i]:=b[i]*(Power((8/x),(2*i)));
SumB:=SumB+BB[i];
CC[i]:=c[i]*Power((8/x),(2*i));
SumC:=SumC+CC[i];
end;
end;
F1:=(1-(SumB*(cos(x+(Pi/4)))-((8/x)*SumC*(sin(x+(Pi/4)))))/sqrt(x)) ;
// знаходимо F1x
begin
SumA:=0;
for i:=1 to 11 do
begin
AA[i]:=b[i]*Power((x/8),(2*i));
SumA:=SumA+AA[i];
end; 95
end;
F2:=(x/8)*SumA; // знаходимо F2x
if x<8 then
Fx:=F2
else
Fx:=F1;
end;
// розрахунок функції Беселя J1
begin
If x<= 3 Then
begin
a[1]:=-0.56249985; a[2]:= 0.21093573; a[3]:=-0.03954289; a[4]:=0.00443319;
a[5]:=-0.00031761; a[6]:=0.00001109;
J1:=((0.5+(a[1]*Power((x/3),2))+(a[2]*Power((x/3),4))+(a[3]*Power((x/3),6))+(a[4]
*Power((x/3),8))+(a[5]*Power((x/3),10))+(a[6]*Power((x/3),12)))/Power(x,-1) ) ;
end
else
begin
a[8]:=0.79788456; a[1]:=0.00000156; a[2]:= 0.01659667; a[3]:=0.00017105; a[4]:=-
0.00249511; a[5]:=0.00113653; a[6]:=-0.00020033;
b[8]:=-2.35619449; b[1]:=0.12499612; b[2]:=0.00005650; b[3]:=-0.00637879;
b[4]:=0.00074348; b[5]:=0.00079824; b[6]:=-0.00029166;
O:= (x+b[8]+(b[1]*(3/x))+(b[2]*Power((3/x),2))+(b[3]*Power((3/x),3))+
(b[4]*Power((3/x),4))+(b[5]*Power((3/x),5))+(b[6]*Power((3/x),6)));
J1:= ((cos(O)*( a[8]+(a[1]*(3/x))+(a[2]*Power((3/x),2))+(a[3]*Power((3/x),3))
+(a[4]*Power((3/x),4))+(a[5]*Power((3/x),5))+(a[6]*Power((3/x),6))) ) /sqr(x))
end;
end;
// знаходження ff 96
begin
for j:=0 to n do
for i:=0 to m do
begin
t[i]:=i*dt;
ff[j,i]:=j*(Fx*(j*t[i])-J1*(j*t[i]));
end;
end;
//розрахунок о задачі
begin
s:=0;
t[0]:=0;
F[0]:=0;
vo[0]:=v0;
for i:=1 to m do
begin
t[i]:=i*dt;
s:=s+vo[i-1]*dt;
tetam[i]:=ArcTan( (sqrt(1-(sqr(1-s))))/(1-s));
tetam1:= -tetam[i];
tetam2:= tetam[i];
for j:=0 to n do
begin
if j=0 then
z1[j]:=0.5*(tetam2-tetam1)
else
z1[j]:=( sin(j*tetam2)-sin(j*tetam1))/j;
end;
v1[j]:=(vo[i-1]*z1[j])/Pi; 97
Pn1[j,0]:=0;
Vn1[j,0]:=0;
Ip:=0;
for k:=0 to i-1 do
begin
Ip:=Ip+Pn1[j,k]*ff[j,i-k]*dt;
end;
Pn1[j,i]:=v1[j]-Ip;
Iv:=0;
for k:=0 to i do
begin
Iv:=Iv+Pn1[j,k]*ff[j,i-k]*dt;
end;
for j:=0 to n do
begin
if j>0 then
Sigma[j]:= ( sin((Pi*j)/n)/((Pi*j)/n) )
else
Sigma[j]:=1;
end;
Vn1[j,i]:=Sigma[j]*(Pn1[j,i]+Iv);
Pn1[j,i]:=Sigma[j]*Pn1[j,i] ;
end;
DtetaB:=(tetam2-tetam1)/k0;
for k:=0 to k0 do
begin
P[0,k]:=0; V[0,k]:=0;
TetaB[i,k]:=((tetam1-tetam2)/2)+(k-(k0/2))*DTetaB;
ZZ1:=0 ; ZZ2:=0; 98
for j:=0 to n do
ZZ1:=ZZ1+Pn1[j,i]*cos(j*TetaB[i,k]);
ZZ2:=ZZ2+Vn1[j,i]*cos(j*TetaB[i,k]);
P[i,k]:=ZZ1; V[i,k]:=ZZ2;
end;
DOmega:=(2*Pi)/k1;
for k:=0 to k1 do
begin
P0[0,k]:=0;
VV0[0,k]:=0;
Omega[k]:=(k-(k1/2))*DOmega;
ZZ1:=0 ; ZZ2:=0;
for j:=0 to n do
ZZ1:=ZZ1+Pn1[j,i]*cos(j*Omega[k]);
ZZ2:=ZZ2+Vn1[j,i]*cos(j*Omega[k]);
P0[i,k]:=ZZ1; VV0[i,k]:=ZZ2;
end;
F[i]:=0 ;
for j:=0 to n do
F[i]:=F[i]+Pn1[j,i]*Z1[j];
vo[i]:=vo[i-1]-G00*F[i]*dt;
//Графіки
begin
Series1.Clear;
Series1.AddXY(t[i],vo[i],'',clRed);
end;
begin
Series2.Clear;
Series2.AddXY(t[i],F[i],'',clRed); 99
end;
begin
Series3.Clear;
Series3.AddXY(t[i],P[i,10],'',clBlue);
Series4.Clear;
Series4.AddXY(t[i],P[i,20],'',clRed);
Series5.Clear;
Series5.AddXY(t[i],P[i,30],'',clBlack);
Series6.Clear;
Series6.AddXY(t[i],P[i,45],'',clFuchsia);
Series7.Clear;
Series7.AddXY(t[i],P[i,55],'',clAqua);
end;
begin
Series8.Clear;
Series8.AddXY(t[i],V[i,5],'',clRed);
Series9.Clear;
Series9.AddXY(t[i],V[i,10],'',clBlue);
Series10.Clear;
Series10.AddXY(t[i],V[i,30],'',clLime);
Series11.Clear;
Series11.AddXY(t[i],V[i,45],'',clFuchsia);
Series12.Clear;
Series12.AddXY(t[i],V[i,60],'',clAqua);
end;
begin
for k:=0 to k0 do
begin
Series13.Clear; 100
Series13.AddXY(P[10,k],TetaB[10,k],'',clRed);
Series14.Clear;
Series14.AddXY(P[20,k],TetaB[20,k],'',clBlue);
Series15.Clear;
Series15.AddXY(P[30,k],TetaB[30,k],'',clLime);
Series16.Clear;
Series16.AddXY(P[40,k],TetaB[40,k],'',clFuchsia);
end;
end;
end;
end;
procedure TForm1.OnCloseQuery(Sender: TObject; var CanClose: Boolean);
begin
if MessageDlg('Ви дійсно бажаєте вийти?',mtWarning,[mbYes,mbNo],0) = mrNo
then
CanClose:=False
end;
procedure TForm1.N12Click(Sender: TObject);
begin
PageControl1.Visible:=False;
end;
procedure TForm1.N4Click(Sender: TObject);
begin
PageControl1.Visible:=True;
end;
end. |
(
