Titlebook: Examples to Extremum and Variational Principles in Mechanics; Course Held at the D Dieter Besdo Book 1970 Springer-Verlag Wien 1970 Extremu

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https://doi.org/10.1007/978-3-319-64662-6In this chapter we will deal with three-dimensional problems of rigid/plastic deformational states. The main yield conditions for this type of processes are connected with the names.

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Potentials,The following very simple example has to demonstrate that force-fields are possible(in an at least two-dimensional space)which are not potential force-fields, but which become potential fields if a restriction is satisfied.

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Passive Work,Under this headline a problem of the theory of deflected beams will be solved by means of dummy loads and dummy displacements.

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RAYLEIGH RITZ Method Applied to Eigenfrequencies of One Dimensional Continuous System,In this chapter, two problems have to explain the method and to show the convergency of the solution if at least two free parameters are used.

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Canonical Equations,In this chapter we will calculate the canonical equations which belong to a simple problem. As we will see from the result, they will not enable us to find out the equations of motion in a simpler way than, for example by using LAGRANGE-equations of 2nd kind.