Movement Equations 2

The formalism processing of unbuckled solids mechanics involves several mathematical tools which are to be mastered at the same time. This volume collects the main points which take place in the course of the formalism, so that the user immediately finds what he needs without looking for it. Furthermore, the book contains a methodological formulary to guide the user in his approach.

Intro -- Table of Contents -- Title -- Copyright -- Introduction -- Table of Notations -- 1 Vector Calculus -- 1.1. Vector space -- 1.2. Affine space of dimension 3 -- free vector -- 1.3. Scalar product a·b -- 1.4. Vector product a'" -- 1.5. Mixed product (a, b, c) -- 1.6. Vector calculus in the affine space of dimension 3 -- 1.7. Applications of vector calculus -- 1.8. Vectors and basis changes -- 2 Torsors and Torsor Calculus -- 2.1. Vector sets -- 2.2. Introduction to torsors -- 2.3. Algebra torsors -- 2.4. Characterization and classification of torsors -- 2.5. Derivation torsors -- 3 Derivation of Vector Functions -- 3.1. Derivative vector: definition and properties -- 3.2. Derivative of a function in a basis -- 3.3. Deriving a vector function of a variable -- 3.4. Deriving a vector function of two variables -- 3.5. Deriving a vector function of n variables -- 3.6. Explicit intervention of the variable p -- 3.7. Relative rotation rate of a basis relative to another -- 4 Vector Functions of One Variable Skew Curves -- 4.1. Vector function of one variable -- 4.2. Tangent at a point M -- 4.3. Unit tangent vector?(q) -- 4.4. Main normal vector?(q) -- 4.5. Unit binormal vector?(q) …