MATLAB 简谐振动合成：绘制多个简谐振动及其合振动的 x-t 图

%E5%8F%82%E6%95%B0%E8%AE%BE%E7%BD%AE N%20%3D%205%3B%20%25%20%E7%AE%80%E5%8C%96%E6%8C%AF%E5%8A%A8%E4%B8%AA%E6%95%B0 A_0%20%3D%2010%3B%20%25%20%E6%8C%AF%E5%8A%A0%EF%BC%88%E5%8D%95%E4%BD%8D%EF%BC%9Acm%EF%BC%89 omega%20%3D%200.5*pi%3B%20%25%20%E8%A7%92%E9%A2%9F%E9%A2%91%EF%BC%88%E5%8D%95%E4%BD%8D%EF%BC%9Arad%2Fs%EF%BC%89 delta_phi%20%3D%20pi%2F3%3B%20%25%20%E7%9B%B8%E4%BD%8D%E5%B7%AE%EF%BC%88%E5%8D%95%E4%BD%8D%EF%BC%9Arad%EF%BC%89

%20%E6%97%B6%E9%97%B4%E8%8C%83%E5%9B%B4%E8%AE%BE%E7%BD%AE t%20%3D%200%3A0.01%3A10%3B%20%25%20%E6%97%B6%E9%97%B4%E8%8C%83%E5%9B%B4%E4%BB%8E0%E5%88%B010s%EF%BC%8C%E6%AD%A5%E9%95%BF0.01s

%20%E5%90%84%E4%B8%AA%E7%AE%80%E5%8C%96%E6%8C%AF%E5%8A%A8%E7%9A%84x-t%E5%9B%BE figure('Name', '各简谐振动的x-t图'); for%20i%20%3D%201%3AN x%20%3D%20A_0%20*%20sin(omega%20*%20t%20+%20(i-1)%20*%20delta_phi)%3B%20%25%20%E7%AE%80%E5%8C%96%E6%8C%AF%E5%8A%A8%E7%9A%84%E4%BD%8D%E7%A7%BB%E5%87%BD%E6%95%B0 subplot(2,3,i)%3B plot(t, x, 'Color', rand(1,3), 'LineStyle', '-', 'LineWidth', 1)%3B grid%20on%3B title(['简谐振动', num2str(i)])%3B xlabel('时间（s）')%3B ylabel('位移（cm）')%3B end

%20%E5%90%88%E6%88%90%E6%8C%AF%E5%8A%A8%E7%9A%84x-t%E5%9B%BE figure('Name', '合振动的x-t图'); x_sum%20%3D%20zeros(size(t))%3B for%20i%20%3D%201%3AN x%20%3D%20A_0%20*%20sin(omega%20*%20t%20+%20(i-1)%20*%20delta_phi)%3B%20%25%20%E7%AE%80%E5%8C%96%E6%8C%AF%E5%8A%A8%E7%9A%84%E4%BD%8D%E7%A7%BB%E5%87%BD%E6%95%B0 x_sum%20%3D%20x_sum%20+%20x%3B%20%25%20%E5%90%88%E6%88%90%E6%8C%AF%E5%8A%A8 end plot(t, x_sum, 'Color', 'blue', 'LineStyle', '-', 'LineWidth', 1)%3B grid%20on%3B title('合成振动')%3B xlabel('时间（s）')%3B ylabel('位移（cm）')%3B

%20%E6%B7%BB%E5%8A%A0%E8%AF%B4%E6%98%8E text(7, 30, '合成振动', 'FontSize', 12)%3B for%20i%20%3D%201%3AN text(7, 20-i*5, ['简谐振动', num2str(i)], 'FontSize', 12, 'Color', rand(1,3))%3B end

%20%E6%B7%BB%E5%8A%A0%E5%9B%BE%E4%BE%8B legend('合成振动')%3B