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]

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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.