/***** Driven pendulum in y-direction & Runge-Kutta-Integration ***** ***** @author: Christoph Federrath *****/ import java.awt.*; import java.applet.*; import java.awt.event.*; public class DrivPendY extends Applet implements Runnable, ActionListener, ItemListener { private static final int Lx = 320, Ly = 320; //graphic window private int px, py, pa; //pixelcoordinates private double phi, omega; //coordinates and velocities private double a, ap, aforce; //coordinates and velocities private double freq, amp; //frequency und amplitude private int reib; //friction private static final double grav = 9.81; //gravity private static final double dt = 0.0005; //Runge-Kutta-timestep private double k[] = new double[4]; //Runge-Kutta private double l[] = new double[4]; //Runge-Kutta private double startwert[] = new double[3]; //save initial values private int step; Canvas can; Button but_reib_plus, but_reib_min; Choice Chooser; Checkbox cb_stop; Thread animator; private Graphics g, offGraphics; private Image offImage; public void init() { setLayout(null); can = new Canvas(); can.setBounds(1,1,Lx+100,Ly); can.setBackground(Color.white); Panel pan = new Panel(); pan.setLayout(null); pan.setBounds(Lx+101,1,100,Ly); pan.setBackground(new Color(0,200,100)); pan.setFont(new Font("Verdana",Font.PLAIN,10)); but_reib_plus = new Button("Friction ++"); but_reib_min = new Button("Friction --"); cb_stop = new Checkbox("Stop/Go", false); Choice Chooser = new Choice(); Chooser.add("Values_1"); Chooser.add("Values_2"); Chooser.add("Values_3"); Chooser.setBounds(10,40,80,30); but_reib_plus.setBounds(10,80,80,27); but_reib_min.setBounds(10,110,80,27); cb_stop.setBounds(10,150,80,30); cb_stop.setBackground(new Color(0,200,100)); pan.add(Chooser); pan.add(cb_stop); pan.add(but_reib_plus); pan.add(but_reib_min); add(pan); add(can); but_reib_plus.addActionListener(this); but_reib_min.addActionListener(this); Chooser.addItemListener(this); g = can.getGraphics(); g.setFont(new Font("Verdana",Font.BOLD,10)); startwert[0] = 0.5; //amp startwert[1] = 1.; //freq startwert[2] = Math.PI/180.*178.; //phi }//init() public void startwerte() //method for setting initial values { amp = startwert[0]; freq = startwert[1]; phi = startwert[2]; omega = 0.0; step = 0; }//startwerte() public void treibwerte() //driving values { a = amp*Math.cos(freq*step*dt); ap = -amp*freq*Math.sin(freq*step*dt); aforce = -freq*freq*a; }//treibwerte() public void run() { try{Thread.sleep(100);} catch(InterruptedException e){} startwerte(); treibwerte(); while(Thread.currentThread() == animator) { if(cb_stop.getState()) //stop/go {try{Thread.sleep(10);}catch(InterruptedException e){}continue;} treibwerte(); //new a, ap, aforce runge_step_phi(); //Runge-Kutta phi = phi + (k[0]+2*k[1]+2*k[2]+k[3])/6; //Runge-Kutta omega = omega + (l[0]+2*l[1]+2*l[2]+l[3])/6; //Runge-Kutta if(step % 10 == 0) //paint not so often { try{Thread.sleep(5);} catch(InterruptedException e){} pixels(); //calculate pixelcoords repaint(); //paint new frame } step++; }//while currentThread()==animator }//run() public void paint(Graphics gr) //double buffer { if(offImage != null) { gr = can.getGraphics(); //initialize graphic window gr.drawImage(offImage, 0, 0, null); } } //paint(gr) public void update(Graphics gr) //double buffer { gr = can.getGraphics(); if(offGraphics == null) { offImage = createImage(Lx+100,Ly); offGraphics = offImage.getGraphics(); } offGraphics.setFont(new Font("Verdana",Font.BOLD,10)); offGraphics.setColor(can.getBackground()); offGraphics.fillRect(0, 0, Lx+100, Ly); paintFrame(offGraphics); gr.drawImage(offImage, 0, 0, null); } //update(gr) public void paintFrame(Graphics gr) { print(gr); //print values gr.drawLine(0,Ly/2,Lx,Ly/2); gr.drawLine(Lx/2,0,Lx/2,Ly); gr.setColor(Color.black); gr.drawString("Step " + step, 20, 30); gr.setColor(Color.red); gr.drawLine(Lx/2,pa,px,py); gr.setColor(Color.black); gr.fillOval(px-7,py-7,15,15); gr.fillRect(Lx/2-1,pa-4,3,9); } //paintFrame(gr) public void print(Graphics gr) { gr.setColor(Color.blue); gr.drawString("Energy:",Lx+20,50); gr.drawString("" +(double)Math.round(10*energy())/10,Lx+20,65); gr.drawString("Friction:",Lx+20,Ly/2+35); gr.drawString("" +reib,Lx+20,Ly/2+50); gr.drawString("Amplitude:",Lx+20,Ly/2+80); gr.drawString("" +(double)Math.round(100*amp)/100,Lx+20,Ly/2+95); gr.drawString("Frequency:",Lx+20,Ly/2+125); gr.drawString("" +(double)Math.round(100*freq)/100,Lx+20,Ly/2+140); }//print(gr) public void pixels() //method for calculating pixelcoords { pa = (int)Math.round((double)(Ly/2) + 90*a); px = (int)Math.round((double)(Lx/2) + 90*Math.sin(phi)); py = (int)Math.round((double)pa + 90*Math.cos(phi)); }//pixels() /* force on Phi */ public double forcephi(double phi, double omega) { return (-grav +aforce)*Math.sin(phi) -0.1*reib*omega; }//forcephi() public double energy() { return 0.5*omega*omega +0.5*ap*ap -omega*ap*Math.sin(phi) - grav*Math.cos(phi) - grav*a; }//energy() public void runge_step_phi() { k[0] = dt*omega; l[0] = dt*forcephi(phi, omega); k[1] = dt*(omega+l[0]/2); l[1] = dt*forcephi(phi+k[0]/2, omega+l[0]/2); k[2] = dt*(omega+l[1]/2); l[2] = dt*forcephi(phi+k[1]/2, omega+l[1]/2); k[3] = dt*(omega+l[2]); l[3] = dt*forcephi(phi+k[2], omega+l[2]); }//runge_step_phi() public void actionPerformed(ActionEvent evt) { if(evt.getActionCommand()==but_reib_plus.getActionCommand()) { reib++; if(cb_stop.getState()) { update(g); } } if(evt.getActionCommand()==but_reib_min.getActionCommand()) { if(reib > 0) { reib--; if(cb_stop.getState()){ update(g); } } } }//actionPerformed(evt) public void itemStateChanged(ItemEvent evt) //Choice Objekt { if(evt.getItem() == "Values_1") { stop(); startwert[0] = 0.5; //amp startwert[1] = 1.; //freq startwert[2] = Math.PI/180.*178.; //phi startwerte(); treibwerte(); pixels(); update(g); start(); } if(evt.getItem() == "Values_2") { stop(); startwert[0] = 0.5; //amp startwert[1] = 15.; //freq startwert[2] = Math.PI/180.*178.; //phi startwerte(); treibwerte(); pixels(); update(g); start(); } if(evt.getItem() == "Values_3") { stop(); startwert[0] = 0.1; //amp startwert[1] = 80.; //freq startwert[2] = Math.PI/180.*120.; //phi startwerte(); treibwerte(); pixels(); update(g); start(); } } //itemStateChanged(evt) public void start() { animator = new Thread(this); animator.start(); }//start() public void stop() { animator = null; offImage = null; offGraphics = null; }//stop() }