A New Look at the High Frequency Boundary Element and Rayleigh Integral Approximations

Herrin, D. W.; Martinus, F.; Wu, Tao; Seybert, A. F.

doi:10.4271/2003-01-1451

Cited by 32 publications

(10 citation statements)

References 8 publications

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“…Hence, it is more suitable for parametric design studies. Although some researchers 27 have pointed out that Rayleigh integral may give large errors for sound pressure prediction if applied to strongly directional, three dimensional (3D) fields, such errors are not significant in our application due to a flat top plate and favorable surroundings (such as rigid side plates and the anechoic chamber).…”

Section: Sound Pressure Prediction Using Rayleigh Integral Techniquementioning

confidence: 93%

Experimental active vibration control of moving wood saw bands

Huang¹

2008

noise cont engng j

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An improved source-path-receiver model of a single mesh geared system is developed and validated to quantify the effect of sliding friction between gear teeth on the structure-borne whine noise. The source sub-system of a spur gear pair predicts interfacial bearing forces in the line-of-action and off line-of-action directions for two whine excitations (static transmission error and sliding friction). Next, a finite element model of the gearbox with embedded bearing stiffness matrices is developed to characterize the structural paths and to calculate the surface velocity distributions. Predictions are first validated by comparing with structural modal tests and transfer function measurements from gear mesh to the housing plates. Radiated noise is then estimated by using two approximate methods, namely the Rayleigh integral method and a substitute source technique. The overall vibro-acoustic model is validated by comparing radiated sound pressure calculations with measured noise data over a range of operating torques. The proposed formulation provides an efficient analytical and computational tool to quantify the relative contribution of sliding friction to the structure-borne noise, which is found to be significant when the transmission error is minimized say via tooth modifications. © 2008 Institute of Noise Control Engineering.

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Section: Sound Pressure Prediction Using Rayleigh Integral Techniquementioning

confidence: 93%

Experimental active vibration control of moving wood saw bands

Huang¹

2008

noise cont engng j

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“…Herrin et al (2003). Following (Du and Olhoff, 2007a), assuming a sufficiently high value of the structural vibration frequency x p , the radiation impedance p f /v n at the structural surface will be approximately equal to the characteristic impedance c f /c of the acoustic medium (Lax and Feshbach, 1947).…”

Section: Minimization Of Sound Power Radiation For Laminated Compositmentioning

confidence: 98%

“…The accuracy of the approximation is discussed in the papers (Du and Olhoff, 2007a) and Herrin et al (2003).…”

Section: Minimization Of Sound Power Radiation For Laminated Compositmentioning

confidence: 99%

“…This implies that the computational cost of the structural-acoustic analysis can be considerably reduced, which is very efficient for the design optimization. It has been proved that Rayleigh's integral provides a very good approximation of the sound pressure distribution along a relatively flat structural surface, see Lax and Feshbach (1947), Herrin et al (2003), and Du and Olhoff (2007a).…”

Section: Introductionmentioning

confidence: 99%

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Discrete material optimization of vibrating laminated composite plates for minimum sound radiation

Niu

Olhoff

Lund

et al. 2010

International Journal of Solids and Structures

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a b s t r a c tThis paper deals with vibro-acoustic optimization of laminated composite plates. The vibration of the laminated plate is excited by time-harmonic external mechanical loading with prescribed frequency and amplitude, and the design objective is to minimize the total sound power radiated from the surface of the laminated plate to the surrounding acoustic medium. Instead of solving the Helmholtz equation for evaluation of the sound power, advantage is taken of the fact that the surface of the laminated plate is flat, which implies that Rayleigh's integral approximation can be used to evaluate the sound power radiated from the surface of the plate. The novel Discrete Material Optimization (DMO) formulation has been applied to achieve the design optimization of fiber angles, stacking sequence and selection of material for laminated composite plates. Several numerical examples are presented in order to illustrate this approach.

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“…4), where is the normal vector on the vibrating structure's surface , is the pressure at a field point , and is the position vector of a source point located on . is the jump term resulting from the treatment of the singular integral involving Green's function (Alia and Souli 2005) and is equal to one for any point in the acoustic domain and ½ for a point on a smooth boundary (Herrin et al 2003).…”

Section: Boundary Element Methodsmentioning

confidence: 99%

PREDICTING THE ACOUSTIC RESPONSE OF THE GOLF CLUB & BALL IMPACT USING FINITE ELEMENTS AND THE BOUNDARY ELEMENT METHOD

Moreira¹

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An improved and repeatable method for meshing golf club heads using finite elements in TrueGrid® was developed. Using solid brick elements through the thickness of the club head instead of shell elements better represents the many thickness variations throughout each section of a club head. This method also results in a high quality mesh at the center of the club head sections while still maintaining high quality at the edges. A simulation procedure was also developed to predict the acoustic pressure at a designated point in an acoustic medium of a golf club and ball impact using the BEM and Rayleigh methods in LS-DYNA®. The simulation time and computing power required for the impact are modest, while the acoustic simulation time and computing power are much greater. The Rayleigh method provides an alternative which can greatly reduce these requirements. The simulation of sound produced from the ball and a USGA COR plate, generic driver, and hybrid impact was accomplished with reasonable results. Experimental testing was performed using a USGA plate to validate the plate result. A simple tap test and an air cannon test were performed to record the acoustic response with vii 4.2.1

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A New Look at the High Frequency Boundary Element and Rayleigh Integral Approximations

Cited by 32 publications

References 8 publications

Experimental active vibration control of moving wood saw bands

Experimental active vibration control of moving wood saw bands

Discrete material optimization of vibrating laminated composite plates for minimum sound radiation

PREDICTING THE ACOUSTIC RESPONSE OF THE GOLF CLUB & BALL IMPACT USING FINITE ELEMENTS AND THE BOUNDARY ELEMENT METHOD

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