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. Problem E2-1 An exhaust fan of mass 400 kg is mouned on an elastic support...
6- An air compressor of mass 50 kg is mounted on an elastic support and operates...
6- An air compressor of mass 50 kg is mounted on an elastic support and operates at a speed of 1000 rpm. It has an unbalanced mass of 2 kg at a radial distance (eccentricity) of 0.1 m from the axis of rotation. If the damping factor of the clastic support is 3 = 0.1, determine the following: (a) the spring constant of the elastic support which transmits no more than 25% of the unbalanced force to the foundation, and...
Problem 6 (17 points) A rotating machine of mass M 125 Kg has an unbalanced mass m 0.25 Kg at a d...
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 35-kg fan is bolted to a light horizontal catilever beam. The unbalance of its rotor...
A 35-kg fan is bolted to a light horizontal catilever beam. The unbalance of its rotor is equivalent to a 40 g mass located 45-mm from the axis of rotation. Knowing that resonance occurs at (234) RPM, determine: -the amplitude (in mm) of the steady state vibration at: a) (244) RPM b) (239) RPM, c) (235) RPM, d) (232) RPM -also determine the imbalance force at each of these four speeds (in Newtons)
A 100 [kg] reciprocating internal combustion engine is fitted to a thin, massless beam using a...
A 100 [kg] reciprocating internal combustion engine is fitted to a thin, massless beam using a vibrations damper. It is known that a machine with a rotating unbalance experiences a frequency squared harmonic excitation. The magnitude of the rotating unbalance is A = m,e = 0.3 [kg. m). 1. Calculate the nondimensional function for the state that has a steady state amplitude of 10 [mm] at a 90 [rad/s] speed. 2- Determine the frequency ratio, natural frequency, and the beams...
(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 rot...
(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...
A 200 kg machine is mounted, at first, on an undamed spring. During operation the machine...
A 200 kg machine is mounted, at first, on an undamed spring. During operation the machine has an unbalanced rotating component. When the system is operated at a variety of frequencies the machine had an unbounded response at 40 Hz. At 400 Hz the steady-state amplitude was 3.0 mm. (a) What is the stiffness of the mounting? (b) What is the magnitude of the rotating unbalance? (c) The machine of part (a) is mounted on the same spring in parallel...
An air compressor of mass 100 kg, with an unbalance of 0.01 kg-m, is found to...
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
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...
A centrifugal pump of mass 500 kg is mounted on a flexible support causing the support...
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.
PROBLEMS 89 3-30. A system composed of a mass of S kg and an elastic member having a modulus of 4...
Please answer 3-34 and 3-35. Please provide all steps so I can
follow along.
PROBLEMS 89 3-30. A system composed of a mass of S kg and an elastic member having a modulus of 45 N/m is less than critically damped. When the mass is givén an initial displacement and released from rest, the overshoot (the displacement attained past the equilibrium position) is 25% Determine the dam ping factor and the damping constant. 3-31. A mass-spring system is critically damped....
6- An air compressor of mass 50 kg is mounted on an elastic support and operates at a speed of 1000 rpm. It has an unbalanced mass of 2 kg at a radial distance (eccentricity) of 0.1 m from the axis of rotation. If the damping factor of the clastic support is 3 = 0.1, determine the following: (a) the spring constant of the elastic support which transmits no more than 25% of the unbalanced force to the foundation, and...
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 100 [kg] reciprocating internal combustion engine is fitted to a thin, massless beam using a vibrations damper. It is known that a machine with a rotating unbalance experiences a frequency squared harmonic excitation. The magnitude of the rotating unbalance is A = m,e = 0.3 [kg. m). 1. Calculate the nondimensional function for the state that has a steady state amplitude of 10 [mm] at a 90 [rad/s] speed. 2- Determine the frequency ratio, natural frequency, and the beams...
(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...
A 200 kg machine is mounted, at first, on an undamed spring. During operation the machine has an unbalanced rotating component. When the system is operated at a variety of frequencies the machine had an unbounded response at 40 Hz. At 400 Hz the steady-state amplitude was 3.0 mm. (a) What is the stiffness of the mounting? (b) What is the magnitude of the rotating unbalance? (c) The machine of part (a) is mounted on the same spring in parallel...
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
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...
Please answer 3-34 and 3-35. Please provide all steps so I can
follow along.
PROBLEMS 89 3-30. A system composed of a mass of S kg and an elastic member having a modulus of 45 N/m is less than critically damped. When the mass is givén an initial displacement and released from rest, the overshoot (the displacement attained past the equilibrium position) is 25% Determine the dam ping factor and the damping constant. 3-31. A mass-spring system is critically damped....
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