Question

recoil return dashpot engaging Figure 1 Figure 2 A cannon barrel (Figure 1) of mass 545 kg is observed to recoil by 1.22 m every time on firing. The recoil spring has stiffness 292 kN/m. To ensure that the barrel returns to its original position as quickly as possible, a dashpot engaged at the end of the recoil stroke has been designed to cause critically damped recovery stroke (See Figure 2). There are three possible values of the damping coefficient, which are 0.2Cc, Cc, and 1.5Cc where Cc is the critical damping. i) For each value of the damping constant, determine the time required to come back to the original firing position. Validate your analytical results via the vibration response motion graph of barrel. ii) What will be your recommendation regarding the choice of the damping coefficient? Explain and discuss it.

          recoil
return
dashpot engaging
Figure 1
Figure 2
A cannon barrel (Figure 1) of mass 545 kg is observed to recoil by 1.22 m every time on firing. The recoil spring has stiffness 292 kN/m. To ensure that the barrel returns to its original position as quickly as possible, a dashpot engaged at the end of the recoil stroke has been designed to cause critically damped recovery stroke (See Figure 2). There are three possible values of the damping coefficient, which are 0.2Cc, Cc, and 1.5Cc where Cc is the critical damping.
i) For each value of the damping constant, determine the time required to come back to the original firing position. Validate your analytical results via the vibration response motion graph of barrel.
ii) What will be your recommendation regarding the choice of the damping coefficient? Explain and discuss it.

recoil
return
dashpot engaging
Figure 1
Figure 2
A cannon barrel (Figure 1) of mass 545 kg is observed to recoil by 1.22 m every time on firing. The recoil spring has stiffness 292 kN/m. To ensure that the barrel returns to its original position as quickly as possible, a dashpot engaged at the end of the recoil stroke has been designed to cause critically damped recovery stroke (See Figure 2). There are three possible values of the damping coefficient, which are 0.2Cc, Cc, and 1.5Cc where Cc is the critical damping.
i) For each value of the damping constant, determine the time required to come back to the original firing position. Validate your analytical results via the vibration response motion graph of barrel.
ii) What will be your recommendation regarding the choice of the damping coefficient? Explain and discuss it.

Added by Sergio M.

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