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Movement Equations 4: Equilibriums and Small Movements

Movement Equations 4: Equilibriums and Small Movements

Michel Borel, Georges Venizelos

ISBN: 978-1-786-30035-5

Mar 2018, Wiley-ISTE

244 pages




An important instance of the application of unbuckled solid mechanics is that of its stability and small movements from this situation. The problem expressing goes through the linearization of the movement equations set up in the 3rd volume of this treaty, by their limited development. This book gives and develops the process which leads to the differential linear equations expressing this kind of movement and allowing the study of the equilibrium and the stability of an unbuckled solid.

Chapter 1 - Vector equations of free solid dynamics

Chapter 2 - Oscillation equations of a solid

Chapter 3 – Energy equations of equilibrium and of oscillations of a solid

Chapter 4 – Study of a single oscillator

Chapter 5 – Study of a stationary movement

Chapter 6 - Complementary mathematics

Chapter 7 – Example: Foucault’s pendulum

Chapter 8 – Exercises wording