Conversion from material to local coordinates as a canonical transformation
Abstract
The conversion is shown to be conceivable as a restricted canonical transformation. The problem is first investigated for onedimensional motions. Second, inversion as a canonical transformation is treated, and it is found that this transformation is a timeindependent mapping, rather than a geometrical transformation. Third, the example of longitudinal motion of an elastic bar is considered; this treatment also applies to onedimensional unsteady isentropic motion of a gas. Finally, canonical transformation for the inversion of several variables (motion in an Ndimensional space) is discussed.
 Publication:

Applied Scientific Research
 Pub Date:
 October 1974
 Bibcode:
 1974ApScR..29..419B
 Keywords:

 Canonical Forms;
 Continuum Mechanics;
 Coordinate Transformations;
 Elastic Bars;
 Equations Of Motion;
 Fluid Dynamics;
 Hamiltonian Functions;
 Longitudinal Stability;
 Structural Analysis;
 Transformations (Mathematics);
 Physics (General)