6- An air compressor of mass 50 kg is mounted on an elastic support and operates...
An air compressor of mass 120 kg is mounted on an elastic foundation. It has been observed that, when a harmonic force of amplitude 120 N is applied to the compressor, the maximum steady-state displacement of 5 mm occurred at a frequency of 320 r/min. Determine the equivalent stiffness and damping constant of the foundation.
. Problem E2-1 An exhaust fan of mass 400 kg is mouned on an elastic support having a spring constant of 80 kN/m and a damping ratio of 2%. If the fan has a rotating unbalance of 0.15 kg-m and operates at 1,800 rpm, determine (a) the steady-state amplitude of vibration of the fan (b) the force transmitted to the ground; (c) the new spring constant of the elastic support such that there is no more than 50% of the...
Problem 6 (17 points) A rotating machine of mass M 125 Kg has an unbalanced mass m 0.25 Kg at a distance 08 m from the centre of rotation (The mass M includes the mass m) The operating speed is 15 Hz Suppose that this machine is mounted on an isolator as shown in the figure If the percent of mation transmitted (TR) to the body is 15 % , and the spring constant k 12 5 x 103 (a)...
A small motor driven paint compressor set of mass 27 kg sits on rigid, massless platform that is supported by 4 spring-damper isolators (each isolator is composed of a spring and damper) for which cach spring constant is 13245 N/m. When the motor runs, it runs at a constant speed of 1750 rpm. The compressor piston has a 50 mm stroke (double its eccentricity). The piston and reciprocating parts have a mass of 0.5 kg, and the motion of the...
No typing, show all steps and clear handwriting! e.g.22 A compressor of 25 kg is mounted on isolator as shown in the figure. The isolator is idealized by a spring and a damper of damping ration { = 0.3. It is found that the compressor suffers from vibration due to unbalance of 0.001 sin50t. Also, it is found that all the maximum impressed force is transmitted to the floor. What will be the TR and the maximum Ft to the...
QUESTION 27 020 The rotor of a steam turbine with mass 10.5 kg is mounted on steel shaft (E- 207 GPa). The shaft diameter is 49 mm and is 1.8 m long. The shaft is suppored at the two ends by the bearings The turbine rotor has an eccentricity of 9.0 mm and operates at T200 rpm (754.0 rad/s). Determine the natural frequency of the system in rad/s Rotor Ο 214.279 rads 50985.64 rad o 45915.49 ad/s 484424 rad/s QUESTION...
Problem 2) (50 points) An actuator with a mass of 20 kg is mounted on a helicopter body which can assumed to be rigid. The actuator vibrates at a frequency of 100Hz and it can provide displacement with an amplitude of 3mm for a large range of frequencies. The connection between the actuator and the helicopter is known to have a damping ratio of 0.1 and a stiffness of 10 kN/m. a) What is the force generated by the sensor?...
An air compressor of mass 100 kg, with an unbalance of 0.01 kg-m, is found to have a large amplitude of vibration while running at 1200 rpm. Determine the mass and spring constant of the absorber to be added if the natural frequencies of the system are to be at least 20 percent from the impressed frequencV
A centrifugal pump of mass 500 kg is mounted on a flexible support causing the support to deflect by 6 mm. The ratio of damping coefficient to the critical damping coefficient for the support is found to be 0.15. When the pump running at 500 rev/min, an amplitude of vibration of 5 mm is measured. Analyse the value of disturbing force created by the pump during its operation. Please show answer step by step.
(20%) Problem 3 An industrial machine has a mass of 430 kg and operates at a speed of 1500 rpm. It appears it has a rotating unbalance of moe-0.8 kg.m. A structural engineer suggested that the maximum transmitted force to the floor is 10000 N. The only isolation available are units, each of 7 x 106 N/m stiffness and a 0.1 damping ratio. a. What is the maximum allowable transmissibility of the force due to the rotating mass to the...