Question

Pantograph rail

4. The Figure (a) below shows the pantograph rail mechanism for high-speed rail systems. The simplified model is shown in Figure (b) 1) Write the system equations using the impedance matrix method. 2) Calculate the determinant of the impedance matrix. Set the determinant to zero and solve the characteristic equation to obtain poles. 3) Find the transfu X6 YGHint: Use Cramer's rule 4) If the force is ()5x10 cos (20r) N, solve the responses y.o. (t), y, (t), 5) Write a MATLAB to conduct the calculations in steps 2), 3), and 5) . Hint: Use Cramer's rule F (s) F(s) s) and y, (t) catlt) Kave 1.535 x 106 N/nm Tower Tower Span Messenger wire K 82.3 x 103 N/m My = 9.1kg Contact wire Pantograph shoe Mh Head mass K,-7 x 103 N/m h130 N-s/m yh Head suspension MF 17.2 kg rame mass Frame 30 N-s/m Direction of travel

Answer 1

At no M up de t Vnoh At node Mh

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꼭n 230 o 5 A) kotん unc Clon