Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review
The momentum, angular momentum, kinetic energy, and the inertia tensor of a rigid solid are studied. The dynamic Euler equations are derived from the angular impulse-momentum principle. Transformations of the force systems applied to a rigid solid are investigated, the equations of statics are considered as a particular case of the dynamic equations. The Euler and Lagrange cases of rotation of a heavy rigid solid around a fixed point are presented. The elementary theory of gyroscopes is built on the basis of the results obtained for the pseudoregular precession of a heavy gyroscope. A new special form of differential equations for motion of a system of rigid solids which is comfortable for using numerical methods is given.
Original language | English |
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Title of host publication | Foundations in Engineering Mechanics |
Publisher | Springer Nature |
Pages | 327-377 |
Number of pages | 51 |
DOIs | |
State | Published - 2021 |
Name | Foundations in Engineering Mechanics |
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ISSN (Print) | 1612-1384 |
ISSN (Electronic) | 1860-6237 |
ID: 87274400