The mechanical translation system shown in Figure 1 has an external force F appl

Question

The mechanical translation system shown in Figure 1 has an external force F applied to Mass 1 as an Input to the system. The Outputs of the system are the displacements of the two masses X_1 and X_2. Create the block diagram representation for this mechanical system. in going from mechanical illustration to block diagram Once the block diagram is obtained, create this block diagram in Labview. Run the simulation of this system in Labview: Plot the displacements of the masses X_1 and X_2 vs time. Use the following parameters in your simulation M_1 = 25 kg M_2 = 50 kg B = 200 N-s/m K_1 = 100 N/m, K_2 = 80 N/m, F = 20 N Simulation Properties Time step = 0.01 sec End time = 100 sec

Explanation / Answer

a) The block diagram representation for this mechanical system which work in goining fom mechanical illustration to block diagram.

c) given parameters:

Mass1= 25kg, mass2= 50kg

B=200N-s/m

k1= 100N/m, k2= 80N/m, Force= 20N

Apply nodal analysis at x1 and x2

f(t)= M1d2x1/dt2+K1x1+k2(x1-x2)

k2(x2-x1)+M2d2x2/dt2+k2x2=0

Laplace transform of the equation

F(s)= S2M1x1(s)+(k1+k2)x1(s)-k2x2(s)

S2M2x2(s) + (k2+k1)x2(s)-k2x1(s)=0

From above equation

x1(s)= S2M2 + k2/k2 x2(s)

Put the values of xi(s) and solve for F2(s)/x2(s)

F2(s)/x2(s) = (s2M1 +k1 + k2) (s2M2+ k2) - k22.

(k22 is k sqaure 2)

This is the required answer.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.