دانلود کتاب Movement Equations 5: Dynamics of a Set of Solids

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Cover......Page 1
Half-Title Page......Page 3
Title Page......Page 5
Copyright Page......Page 6
Contents......Page 7
Preface......Page 11
Table of Notations......Page 13
1.1. Identifying a chain of solids with neither loops nor branches......Page 21
1.2. Applying the fundamental principles of mechanics......Page 22
1.2.1. Principle of effort generators......Page 23
1.2.3. Applying the fundamental principle of dynamics......Page 24
1.2.4. Theorem of mutual actions......Page 27
1.3.1. Applying the fundamental principle of dynamics......Page 28
1.3.2. Solidifying parameters......Page 29
1.3.3. Movement equations......Page 31
1.4.1. Link associated with the point contact of two solids......Page 38
1.4.2. Link torsor associated with the line contact of two solids......Page 45
1.4.3. Link torsor associated with the surface contact of......Page 48
1.4.4. Fundamental links between two solids in contact......Page 52
2.1.1. Configuring and situating a set of solids in a Galilean......Page 55
2.1.2. Velocity distributors of n solids......Page 57
2.1.3. Torsors associated with loads and efforts......Page 58
2.1.5. Applying analytical mechanics of movement......Page 59
2.2.1. Setting the problem as an equation......Page 62
2.2.2. Equilibrium of a set of n solids......Page 66
2.2.3. Oscillations of a set of n solids......Page 67
2.2.4. Vibration eigen modes of a set of n solids......Page 68
2.2.5. Influence of the initial conditions of the problem......Page 73
2.3 Studying the vibrations of a continuous set by passing to the limit......Page 74
2.3.1. Taking the boundary conditions into account at any instant......Page 79
2.4.1. Exercise 1: movement equations – equilibrium......Page 82
2.4.2. Exercise 2: movement around an equilibrium position......Page 95
2.4.3. Exercise 3: dynamics of an RTT robot (one rotation +two translations)......Page 105
3.1. Introduction......Page 117
3.2.1. Without damping (cij = 0)......Page 119
3.2.2. Solving the system (Σ )......Page 120
3.2.3. Damped free system......Page 128
3.3. Response on the time domain of an excited system......Page 132
3.4.1. Exercise 1: eigen modes of a system with 2 DOF......Page 133
3.4.2. Exercise 2: free and forced oscillations of a conservative 2-DOF system......Page 138
3.4.3. Exercise 3: calculation/test correlation......Page 145
3.4.4. Exercise 4: damped system with a single excited mode......Page 148
3.4.5. Exercise 5: system excited by the base......Page 157
4.1.1. Normal modes......Page 165
4.2. Response in the frequency domain of a conservativestructure subjected to a harmonic excitation......Page 166
4.3. Response of a structure with proportional viscousdamping to a harmonic excitation......Page 170
4.4. Frequency response of a structure with proportionalhysteretic damping......Page 173
4.5.1. Exercise 1: receptance matrix of a conservativestructure......Page 175
4.5.2. Exercise 2: receptance matrix of a structure withproportional viscous damping......Page 184
4.5.3. Exercise 3: case of a non-diagonal mass matrix......Page 190
References......Page 197
Index......Page 199
Other titles from iSTE in Mechanical Engineering and Solid Mechanics......Page 201
EULA......Page 209