Stability of Elastic Multi-Link Structures by Kaïs Ammari & Farhat Shel

Author:Kaïs Ammari & Farhat Shel
Language: eng
Format: epub
ISBN: 9783030863517
Publisher: Springer International Publishing

(4.16)

Again, as in the previous chapter, we use a matrix method as follows (see page 6 for any explanation on the notations used):

To a function f on is associated the matrix function F defined by

with

The system (4.16) is then rewritten as

(4.17)

Integrating equation (4.17), we obtain

(4.18)

where without loss of generality we have supposed that β > 0 and with Then,

(4.19)

(4.20)

(4.21)

The function U satisfies also,

(4.22)

The boundary and transmission conditions can be expressed as follows:

For the continuity condition of at the inner nodes, there exists such that

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