A 100-kg compressor rotor has a shaft stiffness of 1.4x 107 N/m. The compressor is designed to operate at a speed of 6000 rpm. The internal damping of the rotor shaft system is measured to be = 0.01. The rotor has an eccentric radius of 10mm.Determine: a) the displacement amplitude, X, at operating speed b) the critical speed ( in rpm) of the rotor system c) the whirl amplitude at critical speed.

A 100-kg compressor rotor has a shaft stiffness of 1.4x 107 N/m. The compressor is designed to operate at a speed of 6000 rpm. The internal damping of the rotor shaft system is measured to be = 0.01. The rotor has an eccentric radius of 10mm.Determine: a) the displacement amplitude, X, at operating speed b) the critical speed ( in rpm) of the rotor system c) the whirl amplitude at critical speed.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: QUESTION 2 Consider a two-degrees-of-freedom system shown below. k₁ woo kz oooo kz oooo m2 F2 What…

Q: The amplitude of vibration of a single degree of freedom spring-mass-damper system is observed to…

A: Given data: - The stiffness of the spring is K = 1516 N/m. The mass is M = 23.5 kg. The ratio of…

Q: 12. A torsional pendulum has a natural frequency of 200 cycles/min when vibrating in a vacuum. The…

Q: In a damped single-degree-of-freedom system with a mass of m = 10 kg, stiffness coefficient k = 4000…

Q: A precision grinding machine is supported on an isolator that has a stiffness of 3 MN/m and a…

Q: The free-vibration response of a spring-mass system is observed to have a frequency of 2 rad/s, an…

A: The damping ratio is less than unity; it is a case of under damping or viscous damping. The…

Q: A single cylinder engine can be treated as a rotating unbalance model where the mass of the piston,…

Q: A 40 kg fan has a rotation unbalance of magnitude of 0.01 kg.m. The fan is mounted on a beam which…

Q: n electric motor with a mass of 260 kg and a rotating nbalance, is mounted near the end of a steel…

Q: m mg

Q: PART A k = 2.000 N/m M=0.125kg A 0.125kg mass is attached to a horizontal spring of spring constant…

A: GIven: "Since you have not mentioned the part to be solved so we are solving the remaining…

Q: Determine the steady-state amplitude of angular oscillation for the system of Fig. 3L 4 Slender bar…

A: Draw a free-body diagram of the given system.

Q: A simple seismometer used to measure ground motion is shown in the figure below. If the mass m = 300…

A: Given: The mass m=300 kg Stiffness k=3000 Nm Damper c=600 Nm The ratio of output to input amplitude…

Q: A reciprocating pump of 200 kg is driven through a belt by an electric motor at 3000 rev/min. The…

A: Given data:- mass of pump, m=200kgspeed of motor, N=3000rpm ⇒ω=2π×300060 ⇒ω=314.159radsstiffness,…

Concept explainers

Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,

Question

A 100-kg compressor rotor has a shaft stiffness of 1.4x 107 N/m. The compressor is designed
to operate at a speed of 6000 rpm. The internal damping of the rotor shaft system is measured
to be = 0.01. The rotor has an eccentric radius of 10mm.Determine:
a) the displacement amplitude, X, at operating speed
b) the critical speed ( in rpm) of the rotor system
c) the whirl amplitude at critical speed.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Introduction

VIEW

Step 2: Finding critical speed of the rotor system

VIEW

Step 3: Finding displacement amplitude at the operating speed

VIEW

Step 4: Finding whirl amplitude at the critical speed

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Determine the steady-state amplitude of angular oscillation for the system of Fig. = Y sin ot 3L Slender bar of mass m k=2 x 10° N m N-s C 400 L= 1.2 m m = 10 kg Y = 0.01 m O = 350 rad smL²ö + tcL²Ò + %&L²0 = kLy(t)= kYL sin wt = 0.0 188 r ad 1.08°
Question 1: The armature of a variable-speed electric motor, of mass 200 kg, has an unbalance due to manufacturing errors. The motor is mounted on an isolator having a stiffness of 10 kN/m and a dashpot having a damping ratio of 0.15. Find the speed range over which the amplitude of the fluctuating force transmitted to the foundation will be larger than the exciting force. Find the speed range over which the transmitted force amplitude will be less than 10 percent of the exciting force amplitude.
The amplitude of vibration of a single degree of freedom spring-mass-damper system is observed to reduce to 15% of its initial value after 5 cycles. Spring stiffness equals (1500 + 16) N/m and mass equals (7.5 + 16) kg. Determine: The undamped natural frequency; The damped natural frequency; The logarithmic decrement; The damping ratio; and The coefficient of damping.
An oscillator system without damping has a natural frequency of omega 0 = pi rad/s. Several types of attenuation are given to the system to provide a damping factor (y) of 0.1, 0.5 and 1 s^-1. (a) For each damping factor value, determine the omega value of the oscillator!. (b) determine the displacement at time t = 2 seconds for the damping factor y = 0.5 , if the displacement at t = O is 30 mm and v = 1.5 m/s
A precision grinding machine is supported on an isolator that has a stiffness of 2 MN/m and a viscous damping constant of 4 kN-s/m. The floor on which the machine is mounted is subjected to a harmonic disturbance due to the operation of an unbalanced engine in the vicinity of the grinding machine. Find the maximum acceptable displacement amplitude of the floor if the resulting amplitude of vibration of the grinding wheel is to be restricted to 4*10^(-6)m. Assume that the grinding machine and the wheel are a rigid body of weight 3000 N. Use omega=400*Pi
A vibration system with a single degree of freedom has a spring stiffness of 7613.3 N/m, a mass of 55 kg, and a critical damping of 1.26x103 N.s/m. If the system's starting velocity is 2 m/s. Determine the system's displacement and velocity after two seconds.
For a steady-state vibration with damping under a harmonic force, show that the mechanical energy dissipated per cycle by the dashpot is where is the coefficient of damping, xm is the amplitude of the motion, and wf is the circular frequency of the harmonic force.
A single cylinder engine can be treated as a rotating unbalance model where the mass of the piston, m, acts at an eccentric distance, e which is half of the stroke. Determine the displacement amplitude of the engine in millimetres when it is rotating at a speed of 344.4 rpm. The engine parameters are: Mass of engine, M = 447.8 kg; keq = 220.3 kN/m; ceq = 2843.2 Ns/m; m = 10.6 kg and Stroke (i.e. 2e) = 236 mm. Give your answer to 2 dp. Answer:
As shown in figure a mass of 100 kg is held between two springs. The natural frequency of vibration of the system, in cycle/s, is 20 kN/m eeee 100 kg 20 kN/m elle
A 2-kg block attached to an Ideal massless spring and fixed on the other end on a horizontal frictionless surface. This block oscillates with an amplitude of 0.5 m and reaches a maximum speed of 2 m/s. What is the spring constant in N/m?
part C and D
A 40 kg fan has a rotation unbalance of magnitude of 0.01 kg.m. The fan is mounted on a beam which is specially treated to have a viscous damping. By the variation of the speed of the fan, the amplitude of the vibration varies too. What is the fan's steady state amplitude when it operates at 1000 r/min? Givens: E = 200 GPa, I = 1.3 x10-6 m, L = 1.2 m, damping ratio = 0.06 Select one: O 2 mm 13.6 mm O 3.65 mm O 9 mm TOSHIBA