7. Hamilton’s Principle and Ritz Mehtod
This module continues with the boundary conditions for variational calculus. Both natural and essential boundary conditions are elaborated. Generalisations of the Euler-Lagrange equations are discussed. Thereafter, Hamilton’s principle is introduced. Using this principle, one can determine the dynamics of a system by using variational calculus for a functional based on the Lagrangian. It is stated that in Statics, Hamilton’s Principle reduces to the principle of stationary potential energy.
Corresponding to this module, three sample problems are handed out (see the exercises of this module).
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