A Consider the system shown below, consisting of a spring connected to a clamped-free bar. The bar is made of steel that has length of 1m and diameter of 4cm. The stiffness of the spring is 3000N/m. Estimate the first natural frequency using finite element approach. E, p u2(t) [Ans: 1430.35 Hz] tti(t) B In the above question, if the bar is hollow with inside and outside diameters of 3cm and 4cm respectively, estimate the first natural frequency. [Ans: 1430Hz]

A Consider the system shown below, consisting of a spring connected to a clamped-free bar. The bar is made of steel that has length of 1m and diameter of 4cm. The stiffness of the spring is 3000N/m. Estimate the first natural frequency using finite element approach. E, p u2(t) [Ans: 1430.35 Hz] tti(t) B In the above question, if the bar is hollow with inside and outside diameters of 3cm and 4cm respectively, estimate the first natural frequency. [Ans: 1430Hz]

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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Concept explainers

Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.

Question

Can you help me with the following question ? Please as I have not got the answer belowed !!

A Consider the system shown below, consisting of a spring connected to a clamped-free bar. The
bar is made of steel that has length of Im and diameter of 4cm. The stiffness of the spring is
3000N/m. Estimate the first natural frequency using finite element approach.
E, p
U₂(1)
[Ans: 1430.35 Hz]
u₁(t)
B In the above question, if the bar is hollow with inside and outside diameters of 3cm and
4cm respectively, estimate the first natural frequency.
[Ans: 1430Hz]

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