import harmonic_oscillator as harm
import matplotlib.pyplot as plt
import numpy as np
h1 = harm.HarmonicOscillator()
def apsolutna_pogreska():
lista_delta_t = list(np.linspace(0.01 ,0.11 , 50))
apsolutna_pogreska = []
for delta_t in lista_delta_t:
h1.init(0.1 ,2 ,0.2 ,0.1 ,delta_t)
greska = (abs(h1.period() - h1.period_analiticki()) / h1.period_analiticki()) * 100
apsolutna_pogreska.append(greska)
plt.plot(lista_delta_t, apsolutna_pogreska)
plt.show()
apsolutna_pogreska()
import harmonic_oscillator as ho h1=ho.HarmonicOscillator(10,0.1,0.3,0) h1.period_titr(0.1,5) h1.reset() h1=ho.HarmonicOscillator(10,0.1,0.3,0) h1.period_titr(0.01,5) h1.reset() h1=ho.HarmonicOscillator(10,0.1,0.3,0) h1.period_titr(0.001,5) h1.analit_period()
import matplotlib.pyplot as plt
import harmonic_oscillator as ho
h1 = ho.HarmonicOscillator(0, 0, 0, 0, 0)
h1.__init__(0.001, 1, 5, 10, 0)
h1.oscillate(25)
h1.plot_trajectory()
#print(h1.t)
plt.clf()
h1.__init__(0.001, 1, 5, 10, 0)
h1.oscillate(25)
plt.scatter(h1.t, h1.x, s=2, c="b", label="dt = 0.001")
h1.__init__(0.01, 1, 5, 10, 0)
h1.oscillate(25)
plt.scatter(h1.t, h1.x, s=4, c="g", label="dt = 0.01")
h1.__init__(0.5, 1, 5, 10, 0)
h1.oscillate(25)
plt.scatter(h1.t, h1.x, s=6, c="orange", label="dt = 0.05")
h1.__init__(0.01, 1, 5, 10, 0)
h1.analitic(25)
plt.plot(h1.t, h1.x, c="r", label="analitic")
plt.xlabel("t [s]")
plt.ylabel("x [m]")
plt.title("PRECIZNOST")
plt.legend(loc="lower right")
plt.show()
import harmonic_oscillator as h_o
import matplotlib.pyplot as plt
import numpy as np
h_1 = h_o.HarmonicOscillator()
def preciznost():
dt_lista = list(np.linspace(0.01, 0.11, 50))
num_period = []
a_period = []
for dt in dt_lista:
h_1.init(0.1, 5, 0, 0.5, dt) #(m,k,v0,A,dt)
num_period.append(h_1.period())
a_period.append(h_1.period_analitic())
h_1.reset()
plt.plot(dt_lista, a_period, label="analiticki period")
plt.scatter(dt_lista,
num_period,
s=3,
c="orange",
label="numericki period")
plt.xlabel("dt [s]")
plt.ylabel("T [s]")
plt.title("Preciznost numerickog racunanja perioda")
plt.legend(loc="lower right")
plt.show()
import harmonic_oscillator as ho
h1 = ho.HarmonicOscillator()
h1.init(0.1, 5, 0, 0.5, 0.001) #(m,k,v0,A,dt)
print("Period titranja iznosi: {:.2f}".format(h1.period()))
print("Analiticki period titranja iznosi: {:.2f}".format(h1.period_analitic()))
#h1.period()
import matplotlib.pyplot as plt
import harmonic_oscillator as ho
list_dt = []
list_err = []
dt = 0.0
N = 100
for i in range(N):
dt += 0.01
list_dt.append(dt)
h1 = ho.HarmonicOscillator(0.1, 10, 0.3, 0, dt)
error = abs(h1.numeric() - h1.analytic()) / h1.numeric() * 100
list_err.append(error)
plt.plot(list_dt, list_err)
plt.ylabel("absolute relative error [%]")
plt.xlabel("dt [s]")
plt.title("Absolute relative error")
plt.show()
