2018
DOI: 10.1109/tcpmt.2018.2829164
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Impedance Modeling of Ultrasonic Transducers Used in Heavy Aluminum Wire Bonding

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Cited by 9 publications
(3 citation statements)
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“…The wave speed of material varies with fasten force. When the longitudinal ultrasonic wave propagates in the uniform material and regular shape object, it is affected by the axial stress of object [30,31]. The relational expression is as follows: dcndσ=[2l+λ+(λ+μμ)(4m+4λ+10μ)]2cnρfalse(3λ+2μfalse) where λ and μ are Lamé or second-order elastic constants, l and m are Murnaghan’s third-order elastic constants, ρ is the material density, c n is wave speed, and σ is the compressive stress.…”
Section: Impedance Modelingmentioning
confidence: 99%
“…The wave speed of material varies with fasten force. When the longitudinal ultrasonic wave propagates in the uniform material and regular shape object, it is affected by the axial stress of object [30,31]. The relational expression is as follows: dcndσ=[2l+λ+(λ+μμ)(4m+4λ+10μ)]2cnρfalse(3λ+2μfalse) where λ and μ are Lamé or second-order elastic constants, l and m are Murnaghan’s third-order elastic constants, ρ is the material density, c n is wave speed, and σ is the compressive stress.…”
Section: Impedance Modelingmentioning
confidence: 99%
“…This plays a vital role in the relevant applications of ultrasonic transducers. Nevertheless, specific impedance characteristics (capacitive, inductive, and resistive) of transducers when loads are applied have not been studied [ 22 ]. Based on the developed dynamic model, the effect of the thermo-mechanical load on the characteristics of the ultrasonic vibration system was researched, and the amplitude and frequency change is determined in a similar trend with the change in load.…”
Section: Introductionmentioning
confidence: 99%
“…UPS can achieve material formation and fabrication in a higher efficiency compared to the traditional process [8]. WB is an advanced technology of fine-pitch package for the microelectronics devices, where with a frequency higher than 55 kHz can achieve the bonding connections in a faster and greener manufacturing [9][10][11][12]. These examples show that the vibration amplitude of the PT is of great significance to promote the efficiency, quality and uniformity of the machining processes [13][14][15].…”
Section: Introductionmentioning
confidence: 99%