Lectures and exercises:
The first transmission matrix: Derivation, load assignment, demonstration examples.
Second geometrically nonlinear truss structures: Derivation, general deformation method and its applications, iteration geometrically linear calculation planar truss construction according to theory II. Regulations demonstration examples.
3. The stability of compressed bars using the principle of virtual work: Stability of slender compression members using the principle of virtual work and Theory II. Regulations derivation, applications, iterative solutions buckling resistance of slender compression members, compared with the exact analytical solution by Euler demonstration examples.
4. Proper values and vectors: Introduction, numerical methods for solving eigenvalues and associated eigenvectors, partial and total eigenvalues, practical use in problems of structural mechanics.
5. Own frequencies and shapes of self-oscillation: Introduction, orthogonality of the eigenmodes, normalized mode shapes. Determining the natural frequencies and natural vibration shapes with simple structures.
6. Random variables and probabilistic simulation calculations: Random variable - discrete random variable, continuous random variables. Parametric probability distribution, non-parametric (empirical) probability distribution. Generate random variables in Matlab. Probabilistic assessment of the supporting element.
The first transmission matrix: Derivation, load assignment, demonstration examples.
Second geometrically nonlinear truss structures: Derivation, general deformation method and its applications, iteration geometrically linear calculation planar truss construction according to theory II. Regulations demonstration examples.
3. The stability of compressed bars using the principle of virtual work: Stability of slender compression members using the principle of virtual work and Theory II. Regulations derivation, applications, iterative solutions buckling resistance of slender compression members, compared with the exact analytical solution by Euler demonstration examples.
4. Proper values and vectors: Introduction, numerical methods for solving eigenvalues and associated eigenvectors, partial and total eigenvalues, practical use in problems of structural mechanics.
5. Own frequencies and shapes of self-oscillation: Introduction, orthogonality of the eigenmodes, normalized mode shapes. Determining the natural frequencies and natural vibration shapes with simple structures.
6. Random variables and probabilistic simulation calculations: Random variable - discrete random variable, continuous random variables. Parametric probability distribution, non-parametric (empirical) probability distribution. Generate random variables in Matlab. Probabilistic assessment of the supporting element.