2014
DOI: 10.1016/j.ultras.2014.07.003
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A nonrational B-spline profiled horn with high displacement amplification for ultrasonic welding

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Cited by 29 publications
(10 citation statements)
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“…Besides, in order to amplify the longitudinal displacement in the x-direction, the front mass was particularly designed as a stepped horn, since the gain was found to be proportional to the square of the input and output end diameter ratio of the horn [86]. The stepped horn was known to give the largest displacement amplification (high gain) among the horns, such as exponentially, conically, cantenoidal tapered or parametric curved horns [87]. Furthermore, the aluminium horn had a flange so that the transducer could be fixed.…”
Section: Prototype Device -Modelling and Fabricationmentioning
confidence: 99%
“…Besides, in order to amplify the longitudinal displacement in the x-direction, the front mass was particularly designed as a stepped horn, since the gain was found to be proportional to the square of the input and output end diameter ratio of the horn [86]. The stepped horn was known to give the largest displacement amplification (high gain) among the horns, such as exponentially, conically, cantenoidal tapered or parametric curved horns [87]. Furthermore, the aluminium horn had a flange so that the transducer could be fixed.…”
Section: Prototype Device -Modelling and Fabricationmentioning
confidence: 99%
“…Theorem 3.1 Let function f (x) be such that f ∈ C 5 ([a, b]). For approximation f (x), x ∈ [x j , x j+1 ] by (12), (13) we have the error estimations:…”
Section: Non-polynomial Integro-differential Spline Constructingmentioning
confidence: 99%
“…Nowerdays many splines are known, including cubic, bicubic and biquadratic B-splines, trigonometric, orthogonal splines. Those splines are applied to the construction of curves and surfaces, for the designing of ship hulls, for the transformation of a sound signal's frequency [1,2,[6][7][8][10][11][12][13][14][15][16][17][18][19].…”
Section: Introductionmentioning
confidence: 99%
“…This energy can be used for plastic welding in automotive, electronic appliance, and medical equipment industries [1]. It also is being utilized in acoustic compressors, refrigerators, and other industrial processes [2].…”
Section: Introductionmentioning
confidence: 99%