- Application of spatial coordinate transformations to problems in the kinematics and dynamics of rigid bodies (k5)
- Formulating the momentum and angular momentum balance of rigid bodies with respect to arbitrary coordinate systems (k3)
- Formulating the differential equations of motion for multi-body systems using the projection equations (k4)
- Application of the Lagrange principle to general multibody systems
- Stability assessment of rigid body motions (k5)
- Derivation of linearized motion equations (k3)
- Solution of systems of linear differential equations (k4)
- Application of the separation principle for the solution of the vibration differential equations of slender beams
- Application of the Ritz approximation method (k3)
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- Transformation of kinematic and kinetic quantities between arbitrary moving coordinate systems
- Inertial properties of the rigid body
- Momentum and angular momentum balance in moving reference systems, gyrodynamics
- Concept of stability, stability of spatial rigid body movements
- Kinematics and dynamics of multibody systems with arbitrary degree of freedom, Euler-Jourdain equations, projection equations
- Variational principles, method of Lagrange, D’Alembert and Hamilton
- General validity of the Lagrange equations for dynamical systems
- Static and stationary equilibrium states
- Linearized equations of motion of multibody systems with rigid bodies
- Kinematics and dynamics of slender beams (Euler-Bernoulli, Rayleigh)
- Methods for solving systems of linear differential equations.
- Separation approach for solving the oscillation differential equation of a beam
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