Derive the stiffness matrix of the bar element in longitudinal vibration whose cross-sectional area varies as (A(x)=A_{0}

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Derive the stiffness matrix of the bar element in longitudinal vibration whose cross-sectional area varies as $A(x)=A_{0} e^{-(x / l)}$, where $A_{0}$ is the area at the root (see Fig. 12.14).

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Mechanical Vibrations

ISBN: 9780134361925

6th Edition

Authors: Singiresu S Rao

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Question Posted: May 04, 2024 05:59 AM

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Derive the stiffness matrix of the bar element in longitudinal vibration whose cross-sectional area varies as (A(x)=A_{0}

Question:

Age-(x/1) FIGURE 12.14 Bar element with varying cross section.

Step by Step Answer:

Mechanical Vibrations

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