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Theoretical and experimental analysis of the stop-band behavior of elastic springs with periodically discontinuous of curvature
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10.1121/1.4740480
/content/asa/journal/jasa/132/3/10.1121/1.4740480
http://aip.metastore.ingenta.com/content/asa/journal/jasa/132/3/10.1121/1.4740480

Figures

Image of FIG. 1.
FIG. 1.

The periodic springs with discontinuous curvature of center line: (a)“spiral-eight” spring; (b) “flat-bent” spring.

Image of FIG. 2.
FIG. 2.

The geometry of a helical spring: the system of coordinates (x, y, z), the coil radius R, the pitch angle ψ, and the cross section diameter d.

Image of FIG. 3.
FIG. 3.

The periodically repeated substructures: (a) periodic cell of the spiral-eight spring and (b) periodic cell of the flat-bent spring.

Image of FIG. 4.
FIG. 4.

Magnitudes of |λ| for (a) the spiral-eight spring, with ψ = 0.049 rad (stop-bands from 259 to 427 Hz and from 595 to 950 Hz); (b) the flat-bent spring (stop-bands from 129 to 367 Hz and from 461 to 977 Hz).

Image of FIG. 5.
FIG. 5.

The experimental setup: (a) with the spiral-eight spring; (b) with the flat-bent structure.

Image of FIG. 6.
FIG. 6.

The tri-axial accelerometer mounted on the fixture plate.

Image of FIG. 7.
FIG. 7.

Amplitudes of acceleration of the spiral-eight spring: (a) random-noise excitation, (b) sine-sweep excitation; and of the flat-bent spring: (c) random-noise excitation, (d) sine-sweep excitation.

Tables

Generic image for table
TABLE I.

The equipment used for measurements in the experimental setup.

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/content/asa/journal/jasa/132/3/10.1121/1.4740480
2012-09-12
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Theoretical and experimental analysis of the stop-band behavior of elastic springs with periodically discontinuous of curvature
http://aip.metastore.ingenta.com/content/asa/journal/jasa/132/3/10.1121/1.4740480
10.1121/1.4740480
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