VIBRATIONS OF TWO-LAYERED PLATES.
POLYTECHNIC INST OF BROOKLYN N Y DEPT OF MECHANICAL ENGINEERING
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Four approximate theories of two-layered plates have been presented. Among these the two uncoupled classical theories of flexure and extension are the simplest. For the infinite plate the flexural theory gives the flexural branch and the extensional theory the equivoluminal and extensional branches of the frequency spectrum. The three branches all start from the origin and are in an ascending order as just stated. The classical theory that includes the effect of coupling between flexure and extension produces the same three branches of the frequency spectrum, in fact with little improvement over the uncoupled theories up to, say, 20,000 cps. The important thing to note, however, is that flexure and extension are in general coupled. Therefore, either type of excitation will induce both types of motion simultaneously, which can only be accounted for by the coupled theory.
- Fluid Mechanics