A two-mass translational mechanical system has the following mathematical model: = 1 1 m,ž, (t) +bå, (1) +(,+ką)x, (t) –

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A Two Mass Translational Mechanical System Has The Following Mathematical Model 1 1 M Z T Ba 1 Ka X T 1 (112.29 KiB) Viewed 24 times

A two-mass translational mechanical system has the following mathematical model: = 1 1 m,ž, (t) +bå, (1) +(,+ką)x, (t) – bå, (t) – k_x2 (t)=0 - bx, (1) –kX, (1) +m28 (1) + bx, (t)+k,X(t) =f(t) -k The displacements x1(t)and x2(t) are measured from their respective equilibrium positions. An external force falt) of the type unit-ramp test input signal is applied to the system. a. Obtain/find the acceleration of each inertial element as a function of the system's physical properties. (2.5 pts) b. Sketch the equations obtained in (a) on a blank paper. Include in your sketch the proper blocks. (2.5 pts) c. Implement the sketch in a Simulink program. Consider, as outputs, in the scope block the input force, the positions, and velocities of the system. Consider m1=1kg, m2=2 kg, b=1 N-s/b, k1=0.5 N/m and k2=1 N/m. Write a program in Matlab where the physical properties must be defined. These physical properties will be called from the Simulink program. (15 pts)