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Technical Briefs

A Simple Statistical Energy Analysis Technique on Modeling Continuous Coupling Interfaces

[+] Author and Article Information
Lin Ji

School of Mechanical Engineering,
Shandong University,
Jinan 250061, China
e-mail: jilin@sdu.edu.cn

Zhenyu Huang

School of Electronic,
Information and Electrical Engineering,
Shanghai Jiao Tong University,
Shanghai 200240, China

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received October 25, 2012; final manuscript received July 30, 2013; published online September 24, 2013. Assoc. Editor: Thomas J. Royston.

J. Vib. Acoust 136(1), 014501 (Sep 24, 2013) (3 pages) Paper No: VIB-12-1301; doi: 10.1115/1.4025246 History: Received October 25, 2012; Revised July 30, 2013

In statistical energy analysis (SEA) modeling, it is desirable that the SEA coupling loss factors (CLFs) between two continuously connected subsystems can be estimated in a convenient way. A simple SEA modeling technique is recommended in that continuous coupling interfaces may be replaced by sets of discrete points, provided the points are spaced at an appropriate distance apart. Consequently, the simple CLF formulae derived from discretely-connected substructures can be applied for continuous coupling cases. Based on the numerical investigations on SEA modeling of two thin plates connected along a line, a point-spacing criterion is recommended by fitting the point- and line-connection data of the two plates. It shows that the point spacing depends on not only the wavelengths but also the wavelength ratio of the two coupled subsystems.

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Figures

Grahic Jump Location
Fig. 1

Two line-connected plates

Grahic Jump Location
Fig. 2

Coupling loss factor ηab between plates a and b when ha = hb = 2 mm, in which, line-coupling (Eq. (2), thick dashed line); PIM result (thin dotted line); point couplings (Eq. (4)) when Δ = (2/3)λ (thick real line), Δ = (1/2)λ (thin dashed line) and Δ = λ (thin dashed-dotted line)

Grahic Jump Location
Fig. 3

Coupling loss factor ηab between plates a and b when ha = 3 mm and hb = 1 mm, in which, line-coupling (Eq. (2), thick dashed line); PIM result (thin dotted line); point couplings (Eq. (4)) when Δ = (2/3)λ (thick real line), Δ = (1/2)λ (thin dashed line) and Δ = λ (thin dashed-dotted line)

Grahic Jump Location
Fig. 4

Coupling loss factor ηab between plates a and b when λa = 1 mm and λb = 3 mm, in which, line-coupling (Eq. (2), thick dashed line); PIM result (thin dotted line); point couplings (Eq. (4)) when Δ = (2/5)λ (thick real line), Δ = (1/4)λ (thin dashed line) and Δ = (1/2)λ (thin dashed-dotted line)

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