The periodic springs with discontinuous curvature of center line: (a)“spiral-eight” spring; (b) “flat-bent” spring.
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.
The periodically repeated substructures: (a) periodic cell of the spiral-eight spring and (b) periodic cell of the flat-bent spring.
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).
The experimental setup: (a) with the spiral-eight spring; (b) with the flat-bent structure.
The tri-axial accelerometer mounted on the fixture plate.
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.
The equipment used for measurements in the experimental setup.
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