A mass of flexible machine part, m¡ of 20 kg was observed to vibrate badly at frequency of 10 Hz. The vibration was caused by the application of a harmonic force, F of the flexible part. A judgment was made by a mechanical engineer that the vibration was excessive because the frequency of the harmonic force coincides with the natural frequency of the flexible part. 100 N to (а) Interpret the phenomena occurred that explained by the mechanical engineer. (b) If the flexible machine part was be modeled as a spring-mass-damper system, calculate the value of equivalent stiffness, k, of the system. Give final answer in unit of kN/m. (c) Analyze the mass and stiffness of an absorber that would eliminate vibrations of the flexible part at frequency of 10 Hz, if the amplitude motion of the absorber mass, X. at 10 Hz was observed to be 0.5 ст.

A mass of flexible machine part, m¡ of 20 kg was observed to vibrate badly at frequency of 10 Hz. The vibration was caused by the application of a harmonic force, F of the flexible part. A judgment was made by a mechanical engineer that the vibration was excessive because the frequency of the harmonic force coincides with the natural frequency of the flexible part. 100 N to (а) Interpret the phenomena occurred that explained by the mechanical engineer. (b) If the flexible machine part was be modeled as a spring-mass-damper system, calculate the value of equivalent stiffness, k, of the system. Give final answer in unit of kN/m. (c) Analyze the mass and stiffness of an absorber that would eliminate vibrations of the flexible part at frequency of 10 Hz, if the amplitude motion of the absorber mass, X. at 10 Hz was observed to be 0.5 ст.

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

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Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

For this question 3, this is part 1

A mass of flexible machine part, m, of
of 10 Hz. The vibration was caused by the application of a harmonic force, F of
the flexible part. A judgment was made by a mechanical engineer that the vibration was
excessive because the frequency of the harmonic force coincides with the natural frequency
of the flexible part.
20 kg was observed to vibrate badly at frequency
100 N to
(а)
Interpret the phenomena occurred that explained by the mechanical engineer.
(b)
If the flexible machine part was be modeled as a spring-mass-damper system, calculate
the value of equivalent stiffness, k, of the system. Give final answer in unit of kN/m.
(c)
Analyze the mass and stiffness of an absorber that would eliminate vibrations of the
flexible part at frequency of 10 Hz, if the amplitude motion of the absorber mass, Xa
at 10 Hz was observed to be
0.5 ст.

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