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3. A compressor of mass 700 kg has undamped spring mountings which deflect by 0.5 mm...
Question 1 The flexible mountings of a rotary machine deflect by 2 mm under its mass...
Question 1 The flexible mountings of a rotary machine deflect by 2 mm under its mass of 300 kg. When running at 1600 rev/min, the machine has an amplitude of vertical vibration of 1.2mm. The maximum amplitude of vibration, occurring at a lower speed is 6 mm. If the rotating part of the machine has a mass of 90 kg, find the eccentricity of its center of gravity from the axis of rotation What is the damping ratio of the...
HZ A mass of 0.4 kg is suspended from a spring of stiffness 0.4 N/mm. The...
HZ A mass of 0.4 kg is suspended from a spring of stiffness 0.4 N/mm. The damping is 3.794733192 kg/s What is the undamped natural frequency of the system in Hz? f= Your answer should be accurate to within +/-0.1. What is the value of the critical damping coefficient? Сст в kg/s Your answer should be accurate to within +/-0.1. What is the value of the damping ratio? Your answer should be accurate to within +/-0.01. Is the system: (a)...
#5 is only I need in which we need to plot it on Matlab and I...
#5 is only I need in which we need to plot it on Matlab
and I don't know how to plot it.
Project 1 A Vibration Insulation Problem Passive isolation systems are sometimes used to insulate delicate equipment from unwanted vibrations. For example, in order to insulate electrical monitoring equipment from vibrations present in the floor of an industrial plant, the equipment may be placed on a platform supported by flexible mountings resting on the floor. A simple physical model...
Answer last four questions 1. A spring-mass-damper system has mass of 150 kg, stiffness of 1500...
Answer last four questions
1. A spring-mass-damper system has mass of 150 kg, stiffness of 1500 N/m and damping coefficient of 200 kg/s. i) Calculate the undamped natural frequency ii) Calculate the damping ratio iii) Calculate the damped natural frequency iv) Is the system overdamped, underdamped or critically damped? v) Does the solution oscillate? The system above is given an initial velocity of 10 mm/s and an initial displacement of -5 mm. vi) Calculate the form of the response and...
A spring with an mm-kg mass and a damping constant 3 (kg/s) can be held stretched...
A spring with an mm-kg mass and a damping constant 3 (kg/s) can be held stretched 0.5 meters beyond its natural length by a force of 1 newtons. If the spring is stretched 1 meters beyond its natural length and then released with zero velocity, find the mass that would produce critical damping. m =
A mass of 10 kg is suspended by a spring having a stiffness of 10000o N/m....
A mass of 10 kg is suspended by a spring having a stiffness of 10000o N/m. The viscous damping causes the amplitude to decrease to one-tenth of the initial value in four complete oscillations. If a periodic force of 150 cos 50t is applied to the mass in vertical direction, (a) Find the amplitude of the forced vibration (b) What is its amplitude at resonance? (c) Comment on the results obtained in part (a) and (b) (15 markah/marks)
Exercises 1. (introduction) Sketch or plot the displacement of the mass in a mass-spring system for at least two per...
Exercises 1. (introduction) Sketch or plot the displacement of the mass in a mass-spring system for at least two periods for the case when Wn-2rad/s, 괴,-1mm, and eto =-v/5mm/s. 2. (introduction) The approximation sin θ ะ θ is reasonable for θ < 10°. If a pendulum of length 0.5m, has an initial position of 0()0, what is the maximum value of the initial angular velocity that can be given to the pendulum without violating this smll angle approximation? 3. (harmonic...
Question 3 (24 marks) A uniform bar of length L= 1.1m and mass m = 4.2kg...
Question 3 (24 marks) A uniform bar of length L= 1.1m and mass m = 4.2kg is connected with a spring with stiffness k = 2000N/m and a damper with damping ratio š = 0.3. The bar is rotating about a point that is 10cm from the left end. (1) Calculate the total kinetic energy and total potential energy. (2) Derive the equation of motion using energy based approach. (3) Determine the undamped natural frequency and damped natural frequency of...
A small motor driven paint compressor set of mass 27 kg sits on rigid, massless platform...
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...
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...
Question 1 The flexible mountings of a rotary machine deflect by 2 mm under its mass of 300 kg. When running at 1600 rev/min, the machine has an amplitude of vertical vibration of 1.2mm. The maximum amplitude of vibration, occurring at a lower speed is 6 mm. If the rotating part of the machine has a mass of 90 kg, find the eccentricity of its center of gravity from the axis of rotation What is the damping ratio of the...
HZ A mass of 0.4 kg is suspended from a spring of stiffness 0.4 N/mm. The damping is 3.794733192 kg/s What is the undamped natural frequency of the system in Hz? f= Your answer should be accurate to within +/-0.1. What is the value of the critical damping coefficient? Сст в kg/s Your answer should be accurate to within +/-0.1. What is the value of the damping ratio? Your answer should be accurate to within +/-0.01. Is the system: (a)...
#5 is only I need in which we need to plot it on Matlab
and I don't know how to plot it.
Project 1 A Vibration Insulation Problem Passive isolation systems are sometimes used to insulate delicate equipment from unwanted vibrations. For example, in order to insulate electrical monitoring equipment from vibrations present in the floor of an industrial plant, the equipment may be placed on a platform supported by flexible mountings resting on the floor. A simple physical model...
Answer last four questions
1. A spring-mass-damper system has mass of 150 kg, stiffness of 1500 N/m and damping coefficient of 200 kg/s. i) Calculate the undamped natural frequency ii) Calculate the damping ratio iii) Calculate the damped natural frequency iv) Is the system overdamped, underdamped or critically damped? v) Does the solution oscillate? The system above is given an initial velocity of 10 mm/s and an initial displacement of -5 mm. vi) Calculate the form of the response and...
A mass of 10 kg is suspended by a spring having a stiffness of 10000o N/m. The viscous damping causes the amplitude to decrease to one-tenth of the initial value in four complete oscillations. If a periodic force of 150 cos 50t is applied to the mass in vertical direction, (a) Find the amplitude of the forced vibration (b) What is its amplitude at resonance? (c) Comment on the results obtained in part (a) and (b) (15 markah/marks)
Exercises 1. (introduction) Sketch or plot the displacement of the mass in a mass-spring system for at least two periods for the case when Wn-2rad/s, 괴,-1mm, and eto =-v/5mm/s. 2. (introduction) The approximation sin θ ะ θ is reasonable for θ < 10°. If a pendulum of length 0.5m, has an initial position of 0()0, what is the maximum value of the initial angular velocity that can be given to the pendulum without violating this smll angle approximation? 3. (harmonic...
Question 3 (24 marks) A uniform bar of length L= 1.1m and mass m = 4.2kg is connected with a spring with stiffness k = 2000N/m and a damper with damping ratio š = 0.3. The bar is rotating about a point that is 10cm from the left end. (1) Calculate the total kinetic energy and total potential energy. (2) Derive the equation of motion using energy based approach. (3) Determine the undamped natural frequency and damped natural frequency of...
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...
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