MAGNETIC FLUID LOUDSPEAKER ASSEMBLY WITH PORTED ENCLOSURE AND METHOD OF DETERMINING PARAMETERS THEREOF

Abstract: A miniature loudspeaker assembly comprises a loudspeaker drive unit (10) housed in an enclosure (12). The drive unit (10) comprises a magnet unit (24) defining a magnetic air gap (18), a voice coil (16) extending at least partly in the air gap, and a diaphragm (14) coupled to and driven by the voice coil. Magnetic fluid (26) is injected into the air gap to occupy interstices between the voice coil and the poles (20, 22) of the magnet unit. The enclosure (12) has a volume between about one eighth and about double a compliance equivalent volume of the loudspeaker drive unit. Preferably, the enclosure volume is less than or equal to the compliance equivalent volume of the drive unit. The enclosure may have a port (52). The free space resonance frequency of the ported enclosure (12) may be between about 50 per cent and about 60 per cent of the free space resonance frequency of the loudspeaker drive unit.

Description: Magnetic Fluid Loudspeaker Assembly with Ported Enclosure and Method of Determining Parameters thereof. DESCRIPTION TECHNICAL FIELD: This invention relates to loudspeaker assemblies and methods of determining parameters thereof and is especially applicable to loudspeaker assemblies in which a magnetic fluid is provided between the voice coil and the magnetic poles. The invention is especially concerned with small loudspeakers, for example loudspeakers of "hands-free" telephone sets, loudspeakers of multimedia personal computers, and so on. BACKGROUND ART: Magnetic fluids comprise very fine magnetic particles suspended in a viscous liquid, such as an oil. Such magnetic fluids have been used in loudspeakers to carry heat away from the voice coil. This decreases the temperature rise in the voice coil for a given applied power (and hence the corresponding change in impedance) , as well as increasing the maximum power handling capabilities of the loudspeaker. This is particulary beneficial for tweeters, where power handling is more often restricted by voice coil heating. In low frequency drivers, power handling is more often restricted by the suspension and voice coil characteristics required for large cone excursions, and less likely to be improved by magnetic fluid. Loudspeakers using magnetic fluid have been disclosed in US patent No. 5,335,287 (Athanas) issued August 1994 and US patent No. 4,017,694 (King) issued April 1977, to which the reader is directed for reference. In a conventional loudspeaker, the diaphragm is attached to a voice coil former which carries the voice coil and extends into an annular cavity within the usual magnet assembly. The voice coil former is attached to the surrounding frame of the loudspeaker by a corrugated annular suspension. In designing the loudspeaker disclosed in US 5,335,287, Athanas dispensed with the corrugated annular suspension and relied upon magnetic fluid to support the voice coil former and voice coil. Athanas focused upon venting arrangements to prevent displacement of the magnetic fluid. US patent specification number 4,017,694 issued April 12, 1977 discloses a loudspeaker drive unit of conventional configuration but with a magnetic fluid enveloping the voice coil. The magnetic fluid is introduced into the annular cavity which contains the voice coil and is retained there by the magnetic field. According to US 4,017,694, providing the magnetic fluid has a viscosity between about 1000 centipoise and 10,000 centipoise, air gap underdamping of the loudspeaker drive unit is eliminated, leading to improved bass response. Also, it is claimed that the power rating of the loudspeaker drive unit can be increased 200% to 300% without introducing gross distortion and avoiding the use of heavy magnets. US 4,017,694 also addresses dust cap venting to prevent hissing and possible displacement of the magnetic fluid. However, US 4,017,694 does not address the design of an enclosure for such a loudspeaker drive unit. When designing an enclosure for a conventional loudspeaker, one may use computer modelling techniques operating with an equivalent circuit of the loudspeaker. Employing such techniques to design an enclosure for a loudspeaker with a magnetic fluid around the voice coil, the inventor found that the techniques did not work properly and concluded that the magnetic fluid was not behaving as expected. One of the problems encountered in designing loudspeakers for telephone sets, and other applications where size is restricted, is that the small enclosure size results in poor sound quality. It is generally accepted that, for optimum frequency response of a particular loudspeaker drive unit in a sealed enclosure, the volume of the enclosure must be much larger than the compliance equivalent volume of the loudspeaker drive unit itself, typically by at least a factor of four. At frequencies which are low compared with the resonance frequency of the loudspeaker drive unit, the sound pressure at an external point rises at 12 dB/octave. At high frequencies, the pressure is roughly constant (neglecting cone breakup, standing waves, and other resonances) . At the resonance frequency of the loudspeaker drive unit, the pressure may rise a little above the high frequency asymptote depending upon the Q factor of the loudspeaker drive unit. When the volume of the enclosure is reduced, the effective resonance frequency increases because the back pressure of the air in the enclosure effectively stiffens the drive unit suspension. This increased resonance frequency reduces the effectiveness of the drive unit at low frequencies, in view of the "roll off" at 12 dB per octave. In addition, the Q factor of the system increases, resulting in a pressure increase at the resonance frequency. Both effects degrade performance. Consequently, it is difficult to obtain good sound quality in telephone set loudspeakers, multimedia computer loudspeakers, and the like, where enclosure size is limited. Sound quality depends upon many factors, but generally designers try to obtain a substantially flat frequency response characteristic over a wide range of frequencies. Although adding magnetic fluid improves the frequency response of the drive unit, particularly at the resonance frequency, it does not necessarily follow that the performance will be the same when the drive unit is mounted in an enclosure. The magnetic fluid comprises small magnetic particles suspended in a viscous fluid. The magnetic field retains the fluid within the voice coil cavity. The presence of the viscous fluid between the voice coil and the magnet poles increases the damping. When designing an enclosure for such a loudspeaker drive unit with increased damping, a skilled person would expect to have to reduce the size of the enclosure in order to obtain a reasonably flat response. The reduced enclosure size would cause the lower frequency part of the frequency response to "roll off" at a higher frequency, decreasing performance at low frequencies. The inventor has discovered that, by taking the magnetic fluid characteristics into account when designing the enclosure, it is possible to design a loudspeaker enclosure which, for a given performance, is surprisingly smaller than expected. DISCLOSURE OF INVENTION: According to one aspect of the present invention, a loudspeaker assembly comprises a loudspeaker drive unit having a magnet unit defining a magnetic air gap, a voice coil extending at least partly in the air gap and movable to and fro relative to the magnet unit, a magnetic fluid within the air gap and occupying interstices between the voice coil and the magnet unit, and a diaphragm coupled to and driven by the voice coil, the loudspeaker drive unit being housed in an enclosure having a volume between about one eighth and about double a compliance equivalent volume of the loudspeaker drive unit. Preferably, the enclosure volume is less than, or equal to, the compliance equivalent volume of the loudspeaker drive unit. The enclosure may have a port, in which case the loudspeaker may have a low frequency response extending significantly lower than the free space resonance frequency of the loudspeaker drive unit. In preferred embodiments of the invention, where the enclosure has a port, the free space resonance frequency of the loudspeaker drive unit is between about 50 per cent and about 60 per cent, and preferably about one half, of the resonance frequency of the enclosure determined approximately according to the expression: 1 ■ ENC 2π\ V ΛBM A where M Λ is the acoustic inductance of the port, given approximately by the expression: M a = _£i πa' p is the density of air (« 1.18 kg/m 3 ) ; a is the radius of the port (m) ; 1 is the length of the port (m) ; V AB is the internal volume of the enclosure (m 3 ) ; c is the speed of sound (∞ 344 m/S) ; The parameters of the loudspeaker drive unit, magnetic fluid and enclosure preferably are predetermined such that where M A is the acoustic inductance of the port. as above; V AB is the volume of the enclosure (m 3 ) V AS is the compliance equivalent volume of the loudspeaker drive unit (m 3 ) ; is the viscosity of the magnetic fluid (Pa - s); S is the voice coil surface area in contact with the magnetic fluid (m 2 ) ; A is the area of the loudspeaker diaphragm (m 2 ) ; L is the mean distance between the voice coil and the magnet poles (m) ; and p is the density of air (kg/m 3 ) . According to a second aspect of the invention, a method of determining the parameters of the loudspeaker assembly comprises the step of deriving an effective impedance ZFF for the magnetic fluid as follows: Magnitude: Ns/m 5 Phase : tan ■i l ImiF) \ \ Re (F) } where : Re (F) = ι\Sk sinh 2 i + sin2J i cosh2λI - cos 2kl tan Jci _ ta jci Im (F) = -ηSJ - cos 2 i:I cosh 2 ici tanh 2 i -Z + tan 2 J i A is the surface area of the loudspeaker diaphragm (m 2 ) η is the viscosity of the magnetic liquid (Pa-s) S is the voice coil surface area in contact with the magnetic liquid k 2η p is the density of the magnetic liquid (kg/m 3 ) and 1 is the mean distance between the magnet and the voice coil (m) . An embodiment of the invention will now be described by way of example only and with reference to the accompanying drawings. BRIEF DESCRIPTION OF THE DRAWINGS: Figure 1 is a plan view of a loudspeaker assembly embodying the present invention; Figure 2 is a sectional side view of the loudspeaker assembly; Figure 3 is a schematic sectional view of the loudspeaker drive unit; Figure 4 is an equivalent circuit of the loudspeaker assembly used to model its performance; Figure 5 shows plots of the electrical impedance of the loudspeaker drive unit; Figure 6 shows the frequency response of the loudspeaker drive unit without magnetic fluid and on an IEC standard baffle; Figure 7 shows the frequency response of the loudspeaker drive unit on the IEC standard baffle after the addition of magnetic fluid; Figure 8 shows the frequency response of the loudspeaker drive unit with magnetic fluid and mounted in a ported enclosure; Figure 9 is a plan view of a modified loudspeaker assembly; and Figure 10 is a side view of the modified loudspeaker assembly. MODE(S) FOR CARRYING OUT THE INVENTION: In the drawings, corresponding items in the different Figures have the same reference numeral. Referring to Figures 1, 2 and 3, a loudspeaker comprises a loudspeaker drive unit 10 housed in a parallelepiped enclosure 12. The drive unit 10 is of conventional construction in that it comprises a conical diaphragm 14 carried by a voice coil unit 16 which extends into an annular cavity 18 defined by opposed magnetic poles 20 and 22 of a magnet assembly 24. Magnetic fluid 26 is provided in the cavity 18, in the interstices between the voice coil unit 16 and the magnetic poles 20 and 22. A suitable magnetic fluid is marketed under the trade name Ferrofluid™ by Ferrofluidics Corporation, Nashua, New Hampshire. The magnetic fluid may be inserted into the cavity using a syringe, as described in US 4,017,694. A dust cap 28 with a small vent (not shown) spans the inner end of the conical diaphragm 14. A flexible surround 30, which extends around the outer rim of the conical diaphragm 14 , attaches the diaphragm 14 to the support frame 32 of the drive unit 10. The construction of the loudspeaker drive unit may be as described in US 4,017,694 and so will not be described in more detail here. The enclosure 12 comprises an oblong, cast aluminum box 34 closed by a lid 36 which is secured to the box 34 by screws 38. The lid 36 is sealed to the rim of box 28 by a gasket (not shown) and has a central aperture 40. The loudspeaker drive unit 10 is attached to the inside of lid 36 by screws 42 which extend through aligned holes (not shown) in the lid 36 and flanges 44 and 46 of the support frame 32, the rim of the diaphragm 14 coinciding with the rim of aperture 40. A hole 48 is provided in one end wall 50 of the box 34. One end of a cylindrical tube 52 is attached to the end wall 50 and communicates with the hole 48. The tube 52 extends, with its cylindrical axis coincident with the longitudinal central axis of box 34, away from the end wall 50 for a distance slightly greater than the length of the box 52. The tube 52 forms an acoustic port and may be made of aluminum or a synthetic plastics material. In one practical embodiment, the drive unit 10 was a model TF050-A90822 by NMB Precision Incorporated, with about 1 x 10' 7 ro 3 (100 microliters) of Ferrofluid ™with a viscosity of 1 Pa-s injected into its voice coil cavity. The box 34 was 108 mm. long by about 67 mm. wide and about 43 mm. deep, with a net internal volume, i.e. not including that occupied by the drive unit 10, of about 250 cc. The port tube 52 was 115 mm. long with an internal diameter of 16 mm. These dimensions of the enclosure and port which optimized the acoustic performance of the loudspeaker were determined by a series of iterative computations using the parameters of the loudspeaker drive unit 10, the port 52 and the magnetic fluid 26 in an equivalent circuit for the loudspeaker system as shown in Figure 4. In Figure 4 , the drive unit 10 is represented by the voltage source VG, resistance RAE for losses due to the electrical circuit, inductance LAS representing the mass of the diaphragm 14, capacitance CAS representing the compliance of the loudspeaker drive unit suspension and RAS representing mechanical losses. The magnetic fluid 26 is represented by complex impedance ZFF. Capacitance CDC represents the compliance of the cavity beneath the dust cap 28, RDC and LDC represent, resistance and inductance, respectively, of the vent 29 in the dust cap 28. LAP and RAP represent inductance LAP and resistance RAP represent the compliance of the port 52. Inductance LAL and resistance RAL represent leakage. CAB represents the compliance of the enclosure 12. Losses in the enclosure 12 are insignificant. The turns ratios of ideal transformers Tl and T2 are 1:(1 + SC/SR) and 1: (1 + SR/SC) , respectively, where SC is the cross-sectional area of the volume swept by the dust cap 29; SR is the area of the diaphragm excluding the dust cap 29. The optimized dimensions were obtained as follows: 1. The electrical impedance of the loudspeaker drive unit was measured. The results are shown in Figure 5, curve A showing the variation of impedance with frequency with the drive unit hanging in free space and curve B showing the variation of impedance with frequency with the drive unit in a sealed volume. 2. Available ranges of magnetic fluid parameters were determined, i.e. viscosity, density, magnetic susceptibility) . 3. Commencing with an enclosure volume approximately equal to the compliance equivalent volume of the loudspeaker drive unit 10, and using the equivalent circuit shown in Figure 4, the frequency response was calculated and plotted. 5. The various parameters were adjusted and the calculations repeated. 6. The above steps were repeated until a predetermined satisfactory frequency response was obtained. The values of VG, RAE, RAS, LAS and CAS were derived from the electrical impedance curves shown in Figure 4. The values of CDC, LDC, RDC and SC/CR were determined from the geometry of the loudspeaker drive unit 10. The values of RAP and LAP were derived from the geometry of the enclosure. The impedance ZFF for the magnetic fluid was derived from an analysis of the effects of magnetic liquid in the structure, as follows: Magnitude: — /Re (F) 2 + I (F) 2 Ns/m 5 A 2 Phase: tan -. / j 7( \ Re (F) J where: Re (F) = τ\Sk sinh2Ji + sin2kl cosh2ieI - cos 2kl tanhici anicZ I (F) = -ι Sk cos 2 kl cosh 2 kl tanh 2 .Z + tan 2 J A is the surface area of the loudspeaker diaphragm (= 1.45 x 10 3 m 2 ) η is the viscosity of the magnetic liquid (= 1 Pa-s) S is the voice coil surface area in contact with the magnetic liquid p is the density of the magnetic liquid (= 1100 Kg/m 3 ) 2 is the mean distance between the magnet and the voice coil (0.225 x 10 "3 m) . It should be noted that the magnetic fluid could be represented by an equivalent voltage source (EFF) rather than the impedance (ZFF) . The value of the voltage source would be obtained by multiplying the impedance ZFF by the acoustic current/volume velocity u 0 . At the end of the process, optimized values had been determined for the frequency response of the final assembly, the volume of the enclosure, the dimensions of the port (radius and length) , and the viscosity, density, volume and magnetic susceptibility of the magnetic fluid. It will be appreciated that the calculations were carried out using a computer. For the loudspeaker illustrated in Figures 1, 2 and 3, the final values were as follows: VG 1.270 x 10 2 N/m 2 RAE 3.313 x 10 5 Ns/m s LAS 3.114 x 10 2 kg/m 4 CAS 1.011 x 10 "9 m 5 /N RAS 1 . 041 X 10 s Ns/m 5 CAB 1 . 426 X 10 "9 m 5 /N RAP 2 . 389 X 10 4 Ns/m 5 LAP 7 . 841 x 10 2 kg/m 4 CDC 7 . 770 X 10 12 m 5 /N LDC 2 . 295 X 10 2 kg/m 4 RDC 6 . 811 X 10 s Ns/m 5 SC/ SR 0 . 167 The magnetic fluid viscosities considered ranged between 0.05 Pa-s and 2.0 Pa-s, the actual value used being 1.0 Pa-s. The density of 1100 kg/m 3 did not change appreciably from one magnetic liquid to another. The susceptibility varied between 100 and 200 Gauss but, since it had a much smaller effect than variation of the viscosity, it was neglected in the calculations. It should be appreciated that these parameters were arrived at for a particular drive unit and frequency response. Figure 6 shows the frequency response of the loudspeaker drive unit 10 without the magnetic fluid and on an IEC standard baffle. As shown in Figure 7, addition of the magnetic liquid had the effect of "overdamping" the drive unit, resulting in a reduction in the response to the lower frequencies. It is generally known that a suitable enclosure, with a port, can restore the response at lower frequencies. However, in conventional loudspeaker units, the improvement is at the expense of a reduction in the uniformity of the frequency response, the effect being more pronounced as the enclosure size is reduced. As shown in Figure 8, with the loudspeaker drive unit 10 mounted in the ported enclosure 12, the lower frequency response is restored. It is noticeable, however, that the frequency response curve in Figure 8 does not show the usual high Q resonances one would expect from such a small enclosure. The reason for such surprisingly good results attained by embodiments of the present invention is not known precisely. It is thought, however, that it might be attributable, at least in part, to the fact that the magnetic fluid not only increases the damping, thereby reducing the high Q resonances, but also effectively increases the voice coil mass. Moreover, the change in mass is frequency dependent. It should be appreciated that the above-described enclosure is of prototype construction. In practice, it could, and probably would, be made differently. For example, the port tube 52 might extend within the box 34. Figures 9 and 10 illustrate a modified loudspeaker assembly in which the port tube 52' still is external but extends alongside the box 34, the prime signifying that the tube 52' is not identical to that of Figure 1. The tube 52' is cylindrical, as before, and is bonded to the exterior of one of the longer walls of the box 34. A junction piece 54 comprising a short section of cylindrical tube equal in diameter to tube 52 is bonded to one end of the port tube 52. Its other end is cut obliquely and bonded to the edges of an elliptical hole 56 provided in the wall of the box 34. The other end of tube 52' protrudes slightly beyond the end of the box 34. Hence, the port tube 52' communicates with the interior of the box 34 by means of the hole 56. Figure 9 also illustrates another modification, namely the repositioning of the drive unit 10 further away from the hole communicating with port tube 52', which could also be used with the port arrangement of the loudspeaker assembly of Figure 1. With such an arrangement, the air from the port 54 is "less hindered" by the drive unit 10 because it will be travelling more slowly when it reaches the drive unit 10. INDUSTRIAL APPLICABILITY The invention is applicable to small loudspeakers, for example loudspeakers of "hands-free" telephone sets, loudspeakers of multimedia personal computers, and so on.

Claims: CLAIMS : 1. A loudspeaker assembly characterized by a loudspeaker drive unit (10) housed in an enclosure (12) , the drive unit comprising a magnet unit (24) defining a magnetic air gap (18) , a voice coil (16) extending at least partly in the air gap, a magnetic fluid (26) within the air gap and occupying interstices between the voice coil and the magnet unit, and a diaphragm (14) coupled to and driven by the voice coil, the enclosure having a volume between about one eighth and about double a compliance equivalent volume of the loudspeaker drive unit. 2. A loudspeaker assembly as claimed in claim 1, characterized in that the enclosure volume is less than, or equal to, the compliance equivalent volume of the loudspeaker drive unit. 3. A loudspeaker assembly as claimed in claim 1, characterized in that the enclosure has a port (52) and the resonance frequency of the enclosure is between about 50 per cent and about 60 per cent of the free space resonance frequency of the loudspeaker drive unit, the resonance frequency of the enclosure being determined approximately by the expression: 1 pc ■ ENC 2π \ VABM A where M A is the acoustic inductance of the port, given approximately by the expression: AT = _£l πa 2 p is the density of air (« 1.18 kg/m 3 ); a is the radius of the port (m) ; 1 is the length of the port (m) ; V AB is the internal volume of the enclosure (m 3 ) ; c is the speed of sound (~ 344 m/S) . 4. A loudspeaker assembly as claimed in claim 3, characterized in that the resonance frequency of the enclosure is about one half of the free space resonance frequency of the loudspeaker drive unit. 5. A loudspeaker assembly as claimed in claim 3, characterized in that the enclosure has a port (52) and the resonance frequency of the enclosure is between about 50 per cent and about 60 per cent of the free space resonance frequency of the loudspeaker drive unit, the resonance frequency of the enclosure being determined approximately by the expression: where M A is the acoustic inductance of the port, given approximately by the expression: M. = _E πa p is the density of air (« 1.18 kg/m 3 ); a is the radius of the port (m) ; 2 is the length of the port (m) ; V AB is the internal volume of the enclosure (m 3 ) ; c is the speed of sound (« 344 m/S) . 6. A loudspeaker assembly as claimed in claim 4, characterized in that the resonance frequency of the enclosure is about one half of the free space resonance frequency of the loudspeaker drive unit. 7. A loudspeaker assembly as claimed in claim 1, characterized in that the parameters of the loudspeaker drive unit, magnetic fluid and enclosure are predetermined such that: A 2 L where M 4 is the acoustic inductance of the port, given approximately by the expression: M Ά = _p_l πa ' V AS is the compliance equivalent volume of the loudspeaker drive unit ( 3 ) ; V AB is the volume of the enclosure (m 3 ) ; V is the viscosity of the magnetic fluid (Pa-s) ; S is the voice coil surface area in contact with the magnetic fluid (m 2 ) ; A is the area of the loudspeaker diaphragm (m 2 ) ; L is the mean distance between the voice coil and the magnet poles (m) ; and is the density of air (kg/m 3 ) . 8. A loudspeaker assembly as claimed in claim 1, characterized in that the enclosure volume is less than, or equal to, the compliance equivalent volume of the loudspeaker drive unit and the parameters of the loudspeaker drive unit, magnetic fluid and enclosure are predetermined such, that: where M A is the acoustic inductance of the port, given approximately by the expression: M a P πa 2 V AS is the compliance equivalent volume of the loudspeaker drive unit (m 3 ) ; V AB is the volume of the enclosure (m 3 ) ; V is the viscosity of the magnetic fluid (Pa-s) ; S is the voice coil surface area in contact with the magnetic fluid (m 2 ) ; A is the area of the loudspeaker diaphragm (m 2 ) ; L is the mean distance between the voice coil and the magnet poles (m) ; and p is the density of air (kg/m 3 ) . 9. A loudspeaker assembly as claimed in claim 1, characterized in that the enclosure has a port (52) and the resonance frequency of the enclosure is between about 50 per cent and about 60 per cent of the free space resonance frequency of the loudspeaker drive unit, the resonance frequency of the enclosure being determined approximately by the expression: where M A is the acoustic inductance of the port, given approximately by the expression: and the parameters of the loudspeaker drive unit, magnetic fluid and enclosure are predetermined such that: V AS + VAB A 2 L p c 2 M i where p is the density of air (~ 1.18 kg/m 3 ); a is the radius of the port (m) ; 2 is the length of the port (m) ; c is the speed of sound (« 344 m/S) . V AS is the compliance equivalent volume of the loudspeaker drive unit (m 3 ) ; V AB is the volume of the enclosure (m 3 ) ; η is the viscosity of the magnetic fluid (Pa-s) ; S is the voice coil surface area in contact with the magnetic fluid (m 2 ) ; A is the area of the loudspeaker diaphragm (m 2 ) ; and is the mean distance between the voice coil and the magnet poles ( ) . 10. A loudspeaker assembly as claimed in claim 1, characterized in that the enclosure has a port (52) and the resonance frequency of the enclosure is about one half of the free space resonance frequency of the loudspeaker drive unit, the resonance frequency of the enclosure being determined approximately by the expression: f * _ P° 2 ∑BNC 2 π \ V λB M l A where M A is the acoustic inductance of the port, given approximately by the expression: and the parameters of the loudspeaker drive unit, magnetic fluid and enclosure are predetermined such that: V AS + VAB A 2 L p c 2 M J where p is the density of air (« 1.18 kg/m 3 ) ; a is the radius of the port ( ) ; 2 is the length of the port ( ) ; c is the speed of sound (« 344 m/S) . V AS is the compliance equivalent volume of the loudspeaker drive unit (m 3 ) ; V AB is the volume of the enclosure (m 3 ) ; η is the viscosity of the magnetic fluid (Pa-s) ; S is the voice coil surface area in contact with the magnetic fluid (m 2 ) ; A is the area of the loudspeaker diaphragm (m 2 ) ; and L is the mean distance between the voice coil and the magnet poles (m) . 11. A method of determining parameters for a loudspeaker assembly comprising a loudspeaker drive unit (10) housed in an enclosure (12) , the drive unit comprising a magnet unit (24) defining a magnetic air gap, a voice coil (16) extending at least partly into the air gap, a magnetic fluid (26) within the air gap and occupying interstices between the voice coil and the magnet unit, and a diaphragm (14) coupled to and driven by the voice coil, the enclosure having a volume between about one eighth and about double a compliance equivalent volume of the loudspeaker drive unit, the method characterized bv the step of deriving an effective impedance ZFF for the magnetic fluid as follows: Magnitude: - -jRe (F) 2 + Im (F) 2 Ns/m 5 A 2 Phase: where: Re ( F) = 1] Sk sinh 2kl + sin 2kl coε 2kl - cos 2kl tan JJ tanic2 Im (F) = -r sk- cos2kl cosh 2 Jc2 tanh 2 λ2 + tan 2 J:2 A is the surface area of the loudspeaker diaphragm (m 2 ) η is the viscosity of the magnetic liquid (Pa-s) S is the voice coil surface area in contact with the magnetic liquid k =£>£ 2η p is the density of the magnetic liquid (kg/m 3 ) ; and 2 is the mean distance between the magnet and the voice coil (m) . 12. A method as claimed in claim 11, further characterized by the step of determining a resonance frequency of the enclosure approximately according to the expression: 1 ■ ENC 2π \ VABM A where M A is the acoustic inductance of the port, given approximately by the expression: M, = L π a p is the density of air (α 1.18 kg/m 3 ); a is the radius of the port (m) ; 1 is the length of the port (m) ; V AB is the internal volume of the enclosure (m 3 ) ; c is the speed of sound (« 344 m/S) . 13. A method as claimed in claim 11, characterized in that the parameters are determined such that where M A is the acoustic inductance of the port, given approximately by the expression: πa 2 V AS is the compliance equivalent volume of the loudspeaker drive unit ( 3 ) ; V AB is the volume of the enclosure (m 3 ) ; η is the viscosity of the magnetic fluid (Pa-s) ; S is the voice coil surface area in contact with the magnetic fluid (m 2 ) ; A is the area of the loudspeaker diaphragm (m 2 ) ; L is the mean distance between the voice coil and the magnet poles (m) ; and p is the density of air (kg/m 3 ) . 14. A method as claimed in claim 11, characterized in that a resonance frequency of the enclosure is determined approximately according to the expression: f ■ EN » — pc C 2π VABM, where M A is the acoustic inductance of the port, given approximately by the expression: A, = _e! πa' and the parameters are determined such that: where p is the density of air (« 1.18 kg/m 3 ) ; a is the radius of the port (m) ; 2 is the length of the port (m) ; c is the speed of sound (« 344 m/S) . V AS is the compliance equivalent volume of the loudspeaker drive unit (m 3 ) ; V AB is the volume of the enclosure (m 3 ) ; η is the viscosity of the magnetic fluid (Pa - S); S is the voice coil surface area in contact with the magnetic fluid (m 2 ) ; A is the area of the loudspeaker diaphragm (m 2 ) ; and is the mean distance between the voice coil and the magnet poles (m) .

Inventors: VAN SCHYNDEL ANDRE JOHN, VAN SCHYNDEL, ANDRE, JOHN
Applicants: NORTHERN TELECOM LTD, NORTHERN TELECOM LIMITED
Application year: 1997
Main classification: H04R9
IPC codes: H04R1, H04R9