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Texto - Variáveis Separáveis
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Texto - Variáveis Separáveis
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Lq q¨ + + Rq ˙ + + C 1 q = V = V ((t) −
L q
R V ( V (t)
V ( V (t) V (t) q (t) V ( V (t)
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Lq q¨ + + Rq ˙ + + C 1 q = V = V ((t) −
L q
R V ( V (t)
V ( V (t) V (t) q (t) V ( V (t)
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V ( V (t)
ENTRADA V (t )
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q (t)
SISTEMA
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SAÍDA q(t )
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Texto - Variáveis Separáveis
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V (t)
q¨ 2
n
m di y dk x αi i = β k k dt dt i=0 k=0
αi
β k
x(t)
y
n m You're Reading a Preview Unlock full access with a free trial.
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1
−
y(t) = y(0) + α1 [β 1 x(t) + β 0
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t
0
x(t )dt
−α
0
t
0
y(t )dt ]
C 1
C 2
C 3
x(t)
t0 C 1
C 2
C 3 α1
1
−
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Texto - Variáveis Separáveis
Integrator1
1/3
Gain3 1 s
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-7 Sine Wave
Metodo Dos Elementos
Scope
Gain
Integrator
1 s
Gain1 4
2
Gain2
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1/3
Sine Wave
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Gain3 1 s
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-7
Integrator1
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Integrator
1 s
Gain1 4
2
Gain2
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x
To Workspace
-7
1/3
Sine Wave
Scope Gain
Gain3
Integrator1
1 s
Integrator
1 s
y
To Workspac
Gain1 4
2
Gain2
arquivo = fopen('dados.txt','wt'); for i=1:length(y) You're Reading a Preview fprintf(arquivo,'%f %f %f\n',tout(i),x(i),y(i)); end Unlock full access with a free trial. fclose(arquivo);
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F
Step
To Workspace2
1 s
1 s
Integrator2
Integrator3
10 Gain2
1 Scope
Gain1 Integrator
Step1
1 s
x To Workspace
Integrator1
1 s
Gain 25
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t + ∆t
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1,0
(a) l a n i s o d e d a d i s n e t n I
Sinal 1
0,5 0,0 1,0
(b)
Sinal 2
0,5 0,0 1,0
(c) Sinal 1 - Sinal 2
0,5 0,0 0
2
4
6
8
10
Tempo (s)
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x ´ = v Master your semester with Scribd ω0 & The New York ω0 Times max
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0,2
(a)
0,1
0,0 -0,1 -0,2 10
(b)
8 6 4 2
I = F x ∆t = rea = 10 x 0,1 = 1 Ns
0 0,0
0,5
1,0
1,5
2,0
2,5
3,0
3,5
4,0
4,5
5
Tempo (s)
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dados=fopen('dados.txt','wt'); for i=1:length(tout) K(i)=0.5*1.0*v(i)*v(i); U(i)=0.5*25*x(i)*x(i); fprintf(dados,'%f %f %f %f\n',tout(i),K(i),U(i),K(i)+U(i)); end fclose(dados);
F
Step
To Workspace2
1 s
1 s
Integrator2
Integrator3
10 Gain2
1 Scope
Gain1 Integrator
Step1
1 s
x To Workspace
Integrator1
1
s You're Reading a Preview Gain
du/dt
v
Derivative
To Workspace1
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0,6 0,4 0,2 0,0
10
8 6 4 2
∆
0 0,0
0,5
1,0
1,5
2,0
2,5
3,
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Texto - Variáveis Separáveis
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F To Workspace2
1 s
1 s
Integrator2
Integrator3
10 Repeating Sequence
Gain2
1 Scope
Gain1 Integrator
1 s
x To Workspace
Integrator1
1 s
Gain
du/dt
v
Derivative
To Workspace1
25
6,0
4,0 2,0
(a)
E
= K + U
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0,0
(b)
0,5
0,0
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clc figure for i=1:length(tout) plot(x(i),0,'o','MarkerSize',40,'MarkerFaceColor','r'); axis([min(x),max(x),-2,2]); xlabel('Posição x (m)'); ylabel('Posição y (m)'); mov(i)=getframe(gcf); end movie2avi(mov,'myfirstmovie.avi','compression','None');
length(tout)
tout for plot
x(i) y(i)=0 'MarkerSize',40
'o' You're Reading a Preview
'MarkerFaceColor' ,'r'
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Texto - Variáveis Separáveis
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2
2
1.5
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1
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0.5 ) m ( y o ã ç i s o P
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0
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0.5 ) m ( y o ã ç i s o P
Metodo Dos Elementos
-0.2
-0.1
0
0.1
0.2 Posição x (m)
0.3
0.4
0.5
-2
0.6
-0.2
-0.1
0
0.1
0.2 Posição x (m)
0.3
0.4
0.5
0.6
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s2 s3
x5
s4 xi =
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x5
xi s1
s1
s4
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s2 s3
Texto - Variáveis Separáveis
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s4 w =
1 (D 4
h =
− 2d + x )
√
H
H 2
i
−w
2
h
H xi(ma´x) H min
D + xi(ma´x) = 2d + 4H min 1 H min = (D 4
− 2d + x
´x) i(ma
)
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Texto - Variáveis Separáveis
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clc figure for i=1:length(tout) % Parâmetros de construção da mola D=1.5; % Comprimento total (m) d=0.5; % Comprimento dos conectores (m) C=1.2; % Fator de correção w=0.25*(D-2*d+x(i)); % Cateto horizontal de um segmento da espira H=C*0.25*(D-2*d+max(x));% Comprimento de um segmento da espira h=sqrt(H^2-w^2); % Cateto vertical de um cateto da espira % Coordenadas dos segmentos da mola x1=x(i)-d; y1=0; x2=x1-w; y2=-h; x3=x2-2*w; y3=h; x4=-D+d; y4=0; x5=-D; y5=0; % Representação gráfica da mola plot([x(i),x1],[0,0],'k','LineWidth',2); hold on; % s1 plot([x1,x2],[y1,y2],'k','LineWidth',2); % s2 plot([x2,x3],[y2,y3],'k','LineWidth',2); % s3 plot([x3,x4],[y3,y4],'k','LineWidth',2); % s4 plot([x4,x5],[y4,y5],'k','LineWidth',2); % s5 % Representação gráfica da partícula plot(x(i),0,'o','MarkerSize',40,'MarkerFaceColor','r'); hold off; You're Reading a Preview % Definição dos eixos horizontal e vertical axis([-D,max(x),-2,2]); Unlock full access with a free trial. xlabel('Posição x (m)'); ylabel('Posição y (m)'); % Captura da imagem Download With Free Trial mov(i)=getframe(gcf); end % Conversão das imagens no filme movie2avi(mov,'mysecondmovie.avi','compression','None');
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x1 = x i x2 = x 1
−d −w
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y1 = 0 y2 = h
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Metodo Dos Elementos
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plot plot hold on
hold all
plot
plot plot
hold off
s1
s3 2
2
1.5
1.5
1
1
You're Reading a Preview 0.5
0.5 ) m ( y o ã ç i s o P
) m ( y o ã ç i s o P
0 Unlock full access with a free trial.
0
-0.5
-0.5
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Texto - Variáveis Separáveis
Metodo Dos Elementos
y
x1 = x i d x2 = x 1 w x3 = x 2 2w x4 = x 3 2w x5 = x 4 2w x6 = D + d x7 = D
y1 = 0 y2 = h y3 = h y4 = h y5 = h y6 = 0 y7 = 0
− − − − − − −
− −
2
2
1.5
1.5
1
1
0.5
0.5 ) m ( y o ã ç i s o P
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x
) m ( y o ã ç i s o P
Apostila aulas.doc
-1.5
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n
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clc figure for i=1:length(tout) % Parâmetros de construção da mola D=2.5; % Comprimento total d=0.5; % Comprimento dos conectores C=0.3; % Fator de correção num=10; % Números de espiras da mola w=(0.25/num)*(D-2*d+x(i)); % Cateto horizontal de um segmento H=C*0.25*(D-2*d+max(x)); % Comprimento de um segmento h=sqrt(H^2-w^2); % Cateto vertical de um segmento % Representação gráfica da mola plot([x(i),x(i)-d],[0,0],'k','LineWidth',2); hold all; % Construção de n espiras for n=1:1:num; plot([x(i)-d-4*(n-1)*w,x(i)-d-w-4*(n-1)*w],[0,-h],'k',... [x(i)-d-w-4*(n-1)*w,x(i)-d-3*w-4*(n-1)*w],[-h,h],'k',... [x(i)-d-3*w-4*(n-1)*w,x(i)-d-4*w-4*(n-1)*w],[h,0],'k',... 'LineWidth',2); end plot([-D+d,-D],[0,0],'k','LineWidth',2); % Representação gráfica da partícula plot(x(i),0,'o','MarkerSize',40,'MarkerFaceColor','r'); hold off; % Definição dos eixos horizontal e vertical You're Reading a Preview axis([-D,max(x),-2,2]); xlabel('Posição x (m)'); Unlock full access with a free trial. ylabel('Posição y (m)'); % Captura da imagem mov(i)=getframe(gcf); Download With Free Trial end % Conversão das imagens no filme movie2avi(mov,'mygreatmovie.avi','compression','None');
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Texto - Variáveis Separáveis
2
2
1.5
1.5
1
1
0.5 ) m ( y o ã ç i s o P
0
0
-0.5
-0.5
-1
-1
-1.5
-1.5
-2 -2.5
Apostila aulas.doc
Search document
0.5 ) m ( y o ã ç i s o P
Metodo Dos Elementos
-2
-1.5
-1 Posição x (m)
-0.5
0
0.5
-2 -2.5
-2
-1.5
-1 Posição x (m)
-0.5
0
0.5
You're Reading a Preview Unlock full access with a free trial.
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clc figure for i=1:length(tout)-1 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Gráficos da força em função do tempo % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% subplot(2,1,1) Special offer for students: Only k = 2 5$4.99/month. ; % Constante da mola % Gráficos
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d=0.5; % Comprimento dos conectores C=0.4; % Fator de correção num=15; % Números de espiras da mola w=(0.25/num)*(D-2*d+x(i)); % Cateto horizontal de um segmento H=C*0.25*(D-2*d+max(x)); % Comprimento de um segmento h=sqrt(H^2-w^2); % Cateto vertical de um segmento % Representação gráfica da mola plot([x(i),x(i)-d],[0,0],'k'); hold all; for n=1:1:num; plot([x(i)-d-4*(n-1)*w,x(i)-d-w-4*(n-1)*w],[0,-h],'k',... [x(i)-d-w-4*(n-1)*w,x(i)-d-3*w-4*(n-1)*w],[-h,h],'k',... [x(i)-d-3*w-4*(n-1)*w,x(i)-d-4*w-4*(n-1)*w],[h,0],'k'); end plot([-D+d,-D],[0,0],'k'); % Vetores de força % Força externa plot([x(i),x(i)+F(i)/max(F)],[0,0],'b','LineWidth',2); plot([x(i)+F(i)/max(F),x(i)+F(i)/max(F)*(1-0.1)],... [0,F(i)/max(F)*0.2],'b','LineWidth',2); plot([x(i)+F(i)/max(F),x(i)+F(i)/max(F)*(1-0.1)],... [0,-F(i)/max(F)*0.2],'b','LineWidth',2); text(x(i)+F(i)/(max(F)),0.5,'\fontsize{15} F_{ext}',... 'HorizontalAlignment','left','VerticalAlignment','middle',... 'Color','b'); You're Reading a Preview % Força elástica plot([x(i),x(i)-k*x(i)/max(F)],[0,0],'k','LineWidth',2); Unlock full access with a free trial. plot([x(i)-k*x(i)/max(F),x(i)-k*x(i)/max(F)*(1-0.1)],... [0,k*x(i)/max(F)*0.2],'k','LineWidth',2); plot([x(i)-k*x(i)/max(F),x(i)-k x(i)/max(F) Download With *Free Trial *(1-0.1)],... [0,-k*x(i)/max(F)*0.2],'k','LineWidth',2); text(x(i)-k*x(i)/max(F),0.5,'\fontsize{15} F_e',... 'HorizontalAlignment','right','VerticalAlignment','middle'); % Representação gráfica da partícula plot(x(i),0,'o','MarkerSize',40,'MarkerFaceColor','r'); hold off; % Formatação dos eixos axis([-D,max(x)+1,-2,2]); Read Free Foron 30this Days Sign up to vote title xlabel('Posição x (m)'); ylabel('Posição y (m)'); Not useful Useful Cancel anytime. %%%%%%%%%%%%%%%%%%%%% Special offer for students: Only $4.99/month. % Captura da imagem % %%%%%%%%%%%%%%%%%%%%%
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Texto - Variáveis Separáveis
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) N ( a ç r o F
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Apostila aulas.doc
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10
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Metodo Dos Elementos
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1.8
Metodo Dos Elementos
Apostila aulas.doc
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