2. [24%] A M 10kg motor running at the speed of 300 rpmwas found to produce excess vibration due ...
2. [24%] A M 10kg motor running at the speed of 300 rpmwas found to produce excess vibration due to rotation unbalance (see right figure). The unbalance was estimated moe 0.2 kg. m. The situation is to be rectified using vibration isolator as the excess vibration exceeds the allowable force transmission to the ground F100 N. In the analysis, the isolator is modeled using a spring (k) and damper element (e). Answer the following questions. (a) [4] Assume zero damping (c 0). What is the vibration reduction (%) needed to achieve FS Fam? (b) [8] Assume zero damping (e 0), It was determined to set the goal of achieving isolator 80% vibration reduction. What is the static deflection of the vibration isolator under the weight of the motor? x(0) It turns out the vibration isolator manufacturer can only provide one specific type of isolator that has a spring constant k 3000 N/m and 0.3. rigid ground (c) [4] What is the transmitted force to the ground with one such isolator in place? (d) 18] How many such isolators, and in what arrangement, can be put together to achieve 80% vibration reduction? (Use ζ-03 for damping consideration.) Note: vibration reduction%키-7tr⑤ where T(心)--watr
2. [24%] A M 10kg motor running at the speed of 300 rpmwas found to produce excess vibration due to rotation unbalance (see right figure). The unbalance was estimated moe 0.2 kg. m. The situation is to be rectified using vibration isolator as the excess vibration exceeds the allowable force transmission to the ground F100 N. In the analysis, the isolator is modeled using a spring (k) and damper element (e). Answer the following questions. (a) [4] Assume zero damping (c 0). What is the vibration reduction (%) needed to achieve FS Fam? (b) [8] Assume zero damping (e 0), It was determined to set the goal of achieving isolator 80% vibration reduction. What is the static deflection of the vibration isolator under the weight of the motor? x(0) It turns out the vibration isolator manufacturer can only provide one specific type of isolator that has a spring constant k 3000 N/m and 0.3. rigid ground (c) [4] What is the transmitted force to the ground with one such isolator in place? (d) 18] How many such isolators, and in what arrangement, can be put together to achieve 80% vibration reduction? (Use ζ-03 for damping consideration.) Note: vibration reduction%키-7tr⑤ where T(心)--watr