An 120-kg machine tool is placed on an elastic mounting. The phase angle is measured as...
An 120-kg machine tool is placed on an elastic mounting. The phase angle is measured as 44.5° when the machine is excited at 30 Hz. When the machine is excited at 60 Hz, the phase angle is 122°. Determine the equivalent damping coefficient and equivalent stiffness of the mounting.
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An 120-kg machine tool is placed on an elastic mounting. The
phase angle is measured as...
When a 40-kg machine is placed on an elastic foundation, its free vibrations appear to decay...
When a 40-kg machine is placed on an elastic foundation, its free vibrations appear to decay exponentially with a frequency of 91.7 rad/s. When a 60-kg machine is placed on the same foundation, the frequency of the exponentially decaying oscillations is 75.5 rad/s. Determine the equivalent stiffness and equivalent viscous damping coefficient for the foundation.
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 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.
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...
A 100 kg machine is rotating at 300 rpm and supported on two layers of rubber...
A 100 kg machine is rotating at 300 rpm and supported on two layers of rubber pads connected in series. Each layer has an equivalent stiffness of 80 KN/m. The machine has an unbalanced rotating element of 0.025 kg.m. The velocity amplitude at resonance is found to be 5 mm/sec. 1. Generally, deduce the equation of motion showing clearly the free body diagram. [30 marks] 2. Derive the particular solution and its velocity. [20 marks 3. Using the data mentioned...
3) (30 points) A machine tool with a mass of 30 kg is mounted on an...
3) (30 points) A machine tool with a mass of 30 kg is mounted on an undamped foundation of stiffness 1500 N/m. During operation, it is subject to the machining forces shown in the figure below. Use the principle of superposition and the convolution integral to determine the response of the system to each force. (Fo= 250 N, to=1 sec) (Hint: use table 5.1) F(1) 2F F 10 210
1. A three-phase, 5 kVA, 208 V, four-pole, 60 Hz, wye-connected synchronous machine has...
A three-phase, 5 kVA, 208 V, four-pole, 60 Hz, wye-connected synchronous machine has negligible stator winding resistance and a synchronous reactance of 8 Wper phase. It is operated in parallel with a three-phase, 208 V, 60 Hz power supply.Determine the excitation voltage and the power angle when the machine is delivering rated kVA at 0.8 pf lagging. Draw the phasor diagram
1. A three-phase, eight-pole induction machine has equivalent two-phase parameters Rs 60mQ, Rr-50mQ, Ls 9.27 mH,...
1. A three-phase, eight-pole induction machine has equivalent two-phase parameters Rs 60mQ, Rr-50mQ, Ls 9.27 mH, Lr = 9.25 mH, and M = 9 mh. The machine is being driven by an RMS line current of 30 A at a frequency of 60 Hz. The angular velocity of the rotor is 950 rpm. Determine a) the mechanical torque, and b) the line-line RMS voltage.
A precision machine is placed on a work bench. The ground vibration transmitted by a nearby...
A precision machine is placed on a work bench. The ground vibration transmitted by a nearby internal combustion engine causes the base (bench) to vibrate at a frequency of 25 Hz with an amplitude of 0.6 cm. Design an isolation system to prevent ground motion to be transmitted to the precision machine, and at least 85% of vibration isolation must be achieved. If the machine has a mass of 48 kg, and the damper in the isolator has a damping...
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....
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...
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...
A 100 kg machine is rotating at 300 rpm and supported on two layers of rubber pads connected in series. Each layer has an equivalent stiffness of 80 KN/m. The machine has an unbalanced rotating element of 0.025 kg.m. The velocity amplitude at resonance is found to be 5 mm/sec. 1. Generally, deduce the equation of motion showing clearly the free body diagram. [30 marks] 2. Derive the particular solution and its velocity. [20 marks 3. Using the data mentioned...
3) (30 points) A machine tool with a mass of 30 kg is mounted on an undamped foundation of stiffness 1500 N/m. During operation, it is subject to the machining forces shown in the figure below. Use the principle of superposition and the convolution integral to determine the response of the system to each force. (Fo= 250 N, to=1 sec) (Hint: use table 5.1) F(1) 2F F 10 210
1. A three-phase, eight-pole induction machine has equivalent two-phase parameters Rs 60mQ, Rr-50mQ, Ls 9.27 mH, Lr = 9.25 mH, and M = 9 mh. The machine is being driven by an RMS line current of 30 A at a frequency of 60 Hz. The angular velocity of the rotor is 950 rpm. Determine a) the mechanical torque, and b) the line-line RMS voltage.
A precision machine is placed on a work bench. The ground vibration transmitted by a nearby internal combustion engine causes the base (bench) to vibrate at a frequency of 25 Hz with an amplitude of 0.6 cm. Design an isolation system to prevent ground motion to be transmitted to the precision machine, and at least 85% of vibration isolation must be achieved. If the machine has a mass of 48 kg, and the damper in the isolator has a 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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