Second Order System (Continued) A Pressure Transducer ISAT 300 wk12B
Second Order Responses Response of a 2nd-order System to a Sinusoidal Input Amplitude Ratio (y/kxo) Frequency Ratio (w/wn) ISAT 300 wk12B
Pressure Transducer - An Example of 2nd-Order System A small tube, 0.5 mm in diameter, is connected to a pressure transducer through a volume of 3.5 m3. The tube has a length of 7.5 cm. Air at 1 atm and 20oC is the pressure-transmitting fluid. Calculate the natural frequency for this system. ISAT 300 wk12B
Pressure Transducer - An Example of 2nd-Order System ISAT 300 wk12B
Pressure Transducer - An Example of 2nd-Order System Calculate the damping ratio and the attenuation of a 100-Hz pressure signal in the system. ISAT 300 wk12B
Cantilever Beam - Another Example of 2nd-Order System A 1/16-in-diameter spring-steel rod is to be used for a vibration frequency measurement as shown in the figure below. The length of the rod may be varied between 1 and 4 in. The density of this material is 489 lbm/ft3, and the modulus of elasticity is 28.3106 psi. Calculate the range of frequencies that may be measured with this device. ISAT 300 wk12B
Cantilever Beam - Another Example of 2nd-Order System =4 ISAT 300 wk12B
This Week in the Lab Measuring Parameters wd : the damped frequency z : the damping ratio wn : the undamped natural frequency ISAT 300 wk12B
Measuring wd and z Measure the period and then calculate! Find Values for yn and yn + k Perform the following calculations: Let: (Greek alphabet lambda) Then find: ISAT 300 wk12B
Measuring wn After finding the previous two, the answer here is a simple calculation ISAT 300 wk12B
The Solution Only Concerned with the underdamped response. ISAT 300 wk12B
The Solution ISAT 300 wk12B