Short condition of a problem -
- Dynamics of a point
1 2 3
The Maple-program
- Dynamics of a point
1
- Theorems of dynamics of a point
a decision Example.
1 2 3
- The theorem of movement of the centre of weights
1 2 3
4 5
- Dynamic reactions of a shaft
1 2 3
4 5 6
7 8 9
10
- Kinetic energy. The resulted weight
the Example 1.
An example 2.
1 2 3
Decision in integers
- The theorem of change of kinetic energy of system (1)
1 2 3
4 5 6
7 8 9
10
- Dynamic calculation of the mechanism with unknown parametre. The theorem
of change of kinetic energy (2)
1 2 3
4 5 6
7 8 9
10
- The theorem of change of kinetic energy of system (3)
1 2 3
4 5
The simplified variants (without a friction):
6 7
8 9
10
The analytical mechanics
- Calculation of number of degrees of freedom of mechanical system
a decision Example. (LaTeX)
1 2 3
4 5 6
7 8 9
10
- The general equation of dynamics for system with one degree of freedom
1 2
3 4
5 6
7 8
9 10
- Principle of possible speeds (Definition of reactions of support)
1 2 3
4 5 6
7 8 910
- Principle of possible speeds. The mechanism with a disk. The
decision in integers
1 2 3
Example 1. An
example 2. The Maple-program
for example 2.
- Dynamics of a side scene
1 2 3
4 5 6
7 8 9
10
Animation 1 Animation
2 Animation 3
Example
- Equation (two degrees of freedom)
1 2
3 4
Decision in integers
Example. Stanislav Zajtseva's decision (MPEI)
- Equation г of 2nd sort (two
degrees of freedom)
1 2
3 4
5 6
7 8
9 10
Example
- Lagrange equation of the second kind (two degrees of freedom)
1 2
3 4
5 6
7 8
9 10
- Lagrange equation of the second kind for conservative systems
1 2
3 4
5 6
7 8
9 10
- Lagrange equation of the second kind - an examination problem
1 2
3 4
5 6
7 8
9 10
11
Illustrations
120 problems on the same theme see in
- Lagrange equation of the second kind - definition of accelerations
on the set kinetic energy and the generalised force
1 2
3 4
5 6
7 8
9 10
- Function of Hamilton
1 2 3
- The equations of Hamilton
1
The Theory of Oscillations
- Oscillations of system with two degrees of freedom (1)
1 2
3 4
5 6
7 8
9 10
- Oscillations of system with two degrees of freedom (2). The frequency
analysis
a decision Example
1 2 3
4 5 6
7 8 9
10
- Oscillations of system with two degrees of freedom (3). Limiting frequencies
1 2 3
4 5 6
7 8 9
10
- Oscillations of system with two degrees of freedom (4). Cylinders the
Example
1 2 3
4 5 6
7 8 9
10
- Oscillations of knot of a truss
1 2 3
4 5 6
7 8 9
10
- Problems for a practical training at
the rate "Robototeñhnique systems and complexes".
Solver. The theoretical mechanics. A Fig. 129.
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