Nonlinear Dynamics: Mathematical Models for Rigid Bodies with a Liquid by Lukovsky Ivan A

Author:Lukovsky, Ivan A. [Lukovsky, Ivan A.]
Language: eng
Format: epub
Publisher: De Gruyter
Published: 2015-04-09T16:00:00+00:00

(4.7.18)

Table 4.14

Table 4.15

and

We now present some linear systems of scalar equations obtained from the vector equations of motion (2.9.31)–(2.9.34). As follows from the subsequent considerations, the linear equations can be extended onto a broader class of cavities under the main assumption of smallness of the quantities βi(t).

For the components of the radius vector of the center of inertia of the mechanical system, relations (4.7.3) take the form

(4.7.19)

In the system of coordinates with origin at the point G0, the linear equations of motion take the form

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