A machine of mass 25 kg is placed on an elastic foundation. A sinusoidal force of magnitude 25 N is applied to the machine. A frequency sweep reveals that the maximum (peak) steady-state amplitude of 1.3 mm occurs when the period of the response reaches 0.22 s. Determine: 1- The damping ratio & 2- The equivalent stiffness of the elastic supporting foundation.

A machine of mass 25 kg is placed on an elastic foundation. A sinusoidal force of magnitude 25 N is applied to the machine. A frequency sweep reveals that the maximum (peak) steady-state amplitude of 1.3 mm occurs when the period of the response reaches 0.22 s. Determine: 1- The damping ratio & 2- The equivalent stiffness of the elastic supporting foundation.

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

Similar questions

An air compressor, weighing 100 kg, is mounted on an elastic foundation. I knowhas observed that when a harmonic force of 150 N amplitude is applied to the compressor, theMaximum steady state displacement is 6.2mm and occurs at a frequency of 320rpm.Determine: a) the equivalent stiffness, b) the damping constant "C" of the foundation andc) The force transmitted to the foundation. d) Illustrate using graphics
A machine, weighing 3000 N, is supported on a resilient foundation. The static deflection ofthe foundation due to the weight is 7.5 cm. It is observed that the machine vibrates with anamplitude of 1 cm when the base of the foundation is subject to harmonic oscillation at theundamped natural frequency of the system with an amplitude of 0.25 cm. Find(a) the damping constant of the foundation;(b) the maximum force transmitted to the base;(c) the amplitude of the displacement of the machine relative to the base.
A machine of mass 30 kg is placed on an elastic foundation. A sinusoidal force of magnitude 28 N is applied to the machine. A frequency sweep reveals that the maximum steady-state amplitude of 1.3 mm occurs when the period of response is 0.22 sec. Determine the equivalent stiffness and damping ratio of the foundation.
A 30 kg object is undergoing lightly damped harmonic oscillations. If the maximum displacement of the object from its equilibrium point drops to 1/2 its orginal value 2.2 s, value of the damping constant b?
A heavy machine, weighing 3000 N, is supported on a resilient foundation. The static deflection of the foundation due to the weight of the machine is found to be 7.5 cm. It is observed that the machine vibrates with an amplitude of 1 cm when the base of the foundation is subjected to harmonic oscillation at the undamped natural frequency of the system with an amplitude of 0.25 cm. Find a. the damping constant of the foundation, b. the dynamic force amplitude on the base, and c. the amplitude of the displacement of the machine relative to the base.
A precision grinding machine is supported on an isolator that has a stiffness of 3 MN/m and a viscous damping constant of 3 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 6000 N. Use omega=100*Pi (previous answer to the same problem just different numbers)
1. Explain_why_the_natural_frequency_measurements_should_better_reflect_the_system’s_true_undamped natural_frequency_(and_therefore_correlate_better_with_calculated_values)_than_the_frequency_of_oscillation measurements. 2. For_a Linear Spring-Mass System, Torsional Spring-Mass System, and Simple Pendulum System: identify_the_necessary_measurements_required_to_identify_the_natural_frequency_and the damping_ratio_for_the_linear_SMD_and_the_simple_pendulum.
A 10-lb weight is attached to a spring suspended from the ceiling. When the weight comes to rest, the spring is stretched by 1.5 inches. The damping constant for the system is 5√2 lbs /(ft./sec.). The weight is pulled down 3 inches from its equilibrium position and released.a) Determine the motion of the weight.b) Determine the damped amplitude, damped natural frequency, and damped period of thesubsequent motion.