Vibro-Acoustics, Volume 3 by Anders Nilsson & Bilong Liu

Author:Anders Nilsson & Bilong Liu
Language: eng
Format: epub
Publisher: Springer Berlin Heidelberg, Berlin, Heidelberg

(2.6.2.5)

The eigenfunctions are orthogonal since

(2.6.2.6)

2.6.3 Example 6.3

The displacement in the resiliently mounted beam is defined as

(2.6.3.1)

The function should satisfy the differential equation

(2.6.3.2)

Let the stiffness of each resilient mount be defined by the spring constant . At each end of the beam, the force due to the normal stress in the beam should equal the spring force. Thus the boundary condition at each end of the beam is

(2.6.3.3)

At the other end the boundary condition is

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