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A 200 kg machine is mounted, at first, on an undamed spring. During operation the machine...
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...
Please answer all Questions if you can let someone who can A 200 kg machine is...
Please answer all Questions if you can let someone who can
A 200 kg machine is mounted on springs whose stiffness is 5x105 N/m. The machine has an exciting force of 1000sin(53t). (a) What is the steady-state amplitude if no vibration absorber is added? (b) Design a vibration absorber of mass 40 kg such that the steady-state amplitude of the primary system is zero at 53 rad/s. (c) What are the natural frequencies of the two degree of freedom system...
7 points| Consider a machine with rotating unbalance as described in Figure 1. At resonance, the ...
7 points| Consider a machine with rotating unbalance as described in Figure 1. At resonance, the maximum deflection is measured to be 0.1m. From manufacturing data, the out of balance mass, mo, is estimated to be 10% of the total mass m and the radius e is estimated to be 0.2m Guide Guide x(t) Machine of total mass mn Friction-free surface Rubber floor mounting modeled as a spring and a damper Figure 1: A model of rotation unbalance (a) Determine...
A 120 kg machine is mounted at the mid-span of a 15 m long simply connected...
A 120 kg machine is mounted at the mid-span of a 15 m long simply connected beam of E =200 x 106 N/m2 and I = 1.53 x 10-4 m4. An experiment is run on the system during which the machine is subject to a harmonic excitation of magnitude 2000 N at a variety of excitation frequencies. The largest steady state amplitude recorded is 2.5 mm. Estimate the damping ratio of the system.
No typing, show all steps and clear handwriting! e.g.22 A compressor of 25 kg is mounted...
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...
F Fosin t m k 2 Figure Qla: System is subjected to a periodic force excitation (a) Derive the equation of motion of the...
F Fosin t m k 2 Figure Qla: System is subjected to a periodic force excitation (a) Derive the equation of motion of the system (state the concepts you use) (b) Write the characteristic equation of the system [4 marks 12 marks (c) What is the category of differential equations does the characteristic equation [2 marks fall into? (d) Prove that the steady state amplitude of vibration of the system is Xk Fo 25 + 0 marks (e) Prove that...
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)...
An air compressor of mass 120 kg is mounted on an elastic foundation. It has been...
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...
. 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...
Consider a single degree of freedom (SDOF) with mass-spring-damper system
Consider a single degree of freedom (SDOF) with mass-spring-damper system subjected to harmonic excitation having the following characteristics: Mass, m = 850 kg; stiffness, k = 80 kN/m; damping constant, c = 2000 N.s/m, forcing function amplitude, f0 = 5 N; forcing frequency, ωt = 30 rad/s. (a) Calculate the steady-state response of the system and state whether the system is underdamped, critically damped, or overdamped. (b) What happen to the steady-state response when the damping is increased to 18000 N.s/m? (Hint: Determine...
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...
Please answer all Questions if you can let someone who can
A 200 kg machine is mounted on springs whose stiffness is 5x105 N/m. The machine has an exciting force of 1000sin(53t). (a) What is the steady-state amplitude if no vibration absorber is added? (b) Design a vibration absorber of mass 40 kg such that the steady-state amplitude of the primary system is zero at 53 rad/s. (c) What are the natural frequencies of the two degree of freedom system...
7 points| Consider a machine with rotating unbalance as described in Figure 1. At resonance, the maximum deflection is measured to be 0.1m. From manufacturing data, the out of balance mass, mo, is estimated to be 10% of the total mass m and the radius e is estimated to be 0.2m Guide Guide x(t) Machine of total mass mn Friction-free surface Rubber floor mounting modeled as a spring and a damper Figure 1: A model of rotation unbalance (a) Determine...
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...
F Fosin t m k 2 Figure Qla: System is subjected to a periodic force excitation (a) Derive the equation of motion of the system (state the concepts you use) (b) Write the characteristic equation of the system [4 marks 12 marks (c) What is the category of differential equations does the characteristic equation [2 marks fall into? (d) Prove that the steady state amplitude of vibration of the system is Xk Fo 25 + 0 marks (e) Prove that...
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)...
. 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...
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