Question

The following model represents the movement of an elastically coupled mechanical system where y1 and y2 represent the displacements of the centers of mass of the coupled objects, u is an external force that moves the system and the rest are construction parameters: $M_1\ddot{y_1} + B_1\dot{y_1} + (K_1 + K_2)y_1 = u + K_1y_2$ $M_2\ddot{y_2} + B_2\dot{y_2} + K_2y_2 = K_2y_1$ A) Draw a block diagram that represents the model of the system. This block diagram must be done using integrating blocks (improper blocks, such as a derivative block, cannot be used). B) From the block diagram above, find the transfer function between u and y2 using block algebra.

          The following model represents the movement
of an elastically coupled mechanical system
where y1 and y2 represent the displacements
of the centers of mass of the coupled objects,
u is an external force that moves the system
and the rest are construction parameters:
$M_1\ddot{y_1} + B_1\dot{y_1} + (K_1 + K_2)y_1 = u + K_1y_2$
$M_2\ddot{y_2} + B_2\dot{y_2} + K_2y_2 = K_2y_1$
A) Draw a block diagram that represents the
model of the system. This block diagram must
be done using integrating blocks (improper
blocks, such as a derivative block, cannot be
used).
B) From the block diagram above, find the
transfer function between u and y2 using block
algebra.

The following model represents the movement
of an elastically coupled mechanical system
where y1 and y2 represent the displacements
of the centers of mass of the coupled objects,
u is an external force that moves the system
and the rest are construction parameters:
M1ÿ1̈ + B1ẏ1̇ + (K1 + K2)y1 = u + K1y2
M2ÿ2̈ + B2ẏ2̇ + K2y2 = K2y1
A) Draw a block diagram that represents the
model of the system. This block diagram must
be done using integrating blocks (improper
blocks, such as a derivative block, cannot be
used).
B) From the block diagram above, find the
transfer function between u and y2 using block
algebra.

Added by Thomas O.

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