Research Papers

Modal Analysis of the Setar: A Numerical–Experimental Comparison

[+] Author and Article Information
Hossein Mansour

Computational Acoustic Modeling Laboratory,
Schulich School of Music,
McGill University,
555 Sherbrooke Street West,
Montréal, QC H3A 1E3, Canada
e-mail: hossein.mansour@mail.mcgill.ca

Contributed by the Noise Control and Acoustics Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received March 26, 2015; final manuscript received June 10, 2015; published online July 14, 2015. Assoc. Editor: Nicole Kessissoglou.

J. Vib. Acoust 137(6), 061006 (Dec 01, 2015) (7 pages) Paper No: VIB-15-1099; doi: 10.1115/1.4030863 History: Received March 26, 2015; Revised June 10, 2015; Online July 14, 2015

The setar, a Persian long-necked lute, is analyzed by means of experimental modal analysis and finite element (FE) method. The experimental analysis is performed using a combination of impulse hammer and laser Doppler vibrometer (LDV), which has led to the extraction of structural mode shapes, natural frequencies, and modal dampings. The FE model is developed taking into account structural details, such as orthotropic properties of the wood, direction of the grains, nonideal joints, and the effect of strings preload. Numerical results are shown to be in a very good agreement with the experimental data over a wide range of frequencies.

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Grahic Jump Location
Fig. 1

Schematic view of the setar

Grahic Jump Location
Fig. 2

CAD model of the setar, mostly measured by CMM

Grahic Jump Location
Fig. 3

Assembly of the soundbox, different shades (color version is online) represent element groups with different thicknesses. The row of elements on the edge of the bowl is to simulate the nonideal glue between the bowl and the plate.

Grahic Jump Location
Fig. 4

Structure of the bowl composed of different ribs, bent, and glued together

Grahic Jump Location
Fig. 5

Model of the bridge, all the nodes at the bottom surface of the bridge are connected to the coincident nodes on the plate with spring–damper elements acting normal to the plate, except for the nodes marked with filled circles which are merged to the coincident nodes on the plate

Grahic Jump Location
Fig. 6

A sample measured mobility on the setar's plate

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Fig. 7

Experimental setup used to extract the structural FRFs: impulse hammers strike on the bridge and LDV measures velocity on the plate

Grahic Jump Location
Fig. 8

Mode shapes and natural frequencies of the plate obtained from the experimental and numerical results, compared together. The setar was clamped on its neck.




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