The mass matrix ([m]) and the stiffness matrix ([k]) of a uniform bar are where (ho) is

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The mass matrix $[m]$ and the stiffness matrix $[k]$ of a uniform bar are

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where $ho$ is the density, $A$ is the cross-sectional area, $E$ is Young's modulus, and $l$ is the length of the bar. Find the natural frequencies of the system by finding the roots of the characteristic equation. Also find the principal modes.

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Mechanical Vibrations

ISBN: 9780134361925

6th Edition

Authors: Singiresu S Rao

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Question Posted: May 03, 2024 02:23 AM

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The mass matrix ([m]) and the stiffness matrix ([k]) of a uniform bar are where (ho) is

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1 pAl [m] = 0 4 0 0 0 2 0 0 and [k] = 2AE 1 T - 1 0 -1 0 2

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Mechanical Vibrations

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