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The Green’s matrix and the boundary integral equations for analysis of time-harmonic dynamics of elastic helical springs
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10.1121/1.3543985
/content/asa/journal/jasa/129/3/10.1121/1.3543985
http://aip.metastore.ingenta.com/content/asa/journal/jasa/129/3/10.1121/1.3543985

Figures

Image of FIG. 1.
FIG. 1.

A helical spring—notations.

Image of FIG. 2.
FIG. 2.

Dispersion diagram for a helical spring with ɛ = 0.184, ψ = 0.13. (a) Real parts of wave numbers and (b) imaginary parts of wave numbers. Rhomb symbols: Complex-valued wave numbers. Dots: Purely imaginary wave numbers.

Image of FIG. 3.
FIG. 3.

Power flow in a helical spring with ɛ = 0.184, ψ = 0.13. (a) In-plane loading by a unit force Q x and (b) Out-of-plane loading by a unit force. Q y . Ω = 0.0022 (continuous curves); Ω = 0.022 (dashed curves); the sum of the in-plane components (thin curves); and the sum of the out-of-plane components (bold curves).

Image of FIG. 4.
FIG. 4.

The dynamic transfer stiffness.

Tables

Generic image for table
TABLE I.

Eigenfrequencies (Hz) and relative discrepancies

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/content/asa/journal/jasa/129/3/10.1121/1.3543985
2011-03-09
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: The Green’s matrix and the boundary integral equations for analysis of time-harmonic dynamics of elastic helical springs
http://aip.metastore.ingenta.com/content/asa/journal/jasa/129/3/10.1121/1.3543985
10.1121/1.3543985
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