Abstract
The concept of the expanding and contracting hinge produced by rapid thermal curvature is applied to the detailed analysis of a cantilever. In addition to a general study of the modes of deformation, the accelerations velocities and displacements are determined for a specific case. Although for the example chosen, less than 10% of the final plastic curvature occurs in the root hinge, a greatly simplified “strong beam” analysis which constrains all plastic deformation to the root hince gives a tip deflection only 6% less than the original value. The paper includes a discussion of the conditions which must be satisfied such that longitudinal inertia effects and elastic deflexions do not invalidate the analysis when it is applied to real materials.
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