US2063951A - Apparatus for transmission and reception - Google Patents

Apparatus for transmission and reception Download PDF

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US2063951A
US2063951A US32252A US3225235A US2063951A US 2063951 A US2063951 A US 2063951A US 32252 A US32252 A US 32252A US 3225235 A US3225235 A US 3225235A US 2063951 A US2063951 A US 2063951A
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diaphragm
sections
blocks
faces
frequency
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Raymond L Steinberger
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04RLOUDSPEAKERS, MICROPHONES, GRAMOPHONE PICK-UPS OR LIKE ACOUSTIC ELECTROMECHANICAL TRANSDUCERS; DEAF-AID SETS; PUBLIC ADDRESS SYSTEMS
    • H04R7/00Diaphragms for electromechanical transducers; Cones
    • H04R7/02Diaphragms for electromechanical transducers; Cones characterised by the construction
    • H04R7/04Plane diaphragms
    • H04R7/06Plane diaphragms comprising a plurality of sections or layers

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  • the present invention although having fields of more general usefulness, is particularly related to devices for converting or translating acoustic energy into electric energy and vice versa. From a more limited aspect, the invention relates to diaphragms.
  • the present application is a division of application, Serial No. 579,039, filed December 4, 1931.
  • the ideal coupling element for radiating a concentrated beam of acoustic energy into a liquid or gaseous maximnnor for the directionally-selective reception of acoustical energy from such a medium in electro-acoustic energy-convertor systems is a diaphragm whose face dimensions are relatively large compared to the wave length of the acoustic energy in the medium, and in which all points of the radiating face are vibrating in phase and with equal amplitude like a piston.
  • a resonant disc vibrating in the manner of an ordinary telephone diaphragm is, indeed, wholly impractical.
  • a resonant plate or disc has proportions more nearly comparable to a short cylinder.
  • This mode of vibration for a particular frequency, is realized by making the thickness of the diaphragm, that is, the length along the axis, substantially equal to one-half of the wave lengthof sound in the material comprising the diaphragm.
  • the vibra: tion of the diaphragm in this manner will hereinafter be defined as expansional vibration.
  • any longitudinal element of the diaphragm along the axis is, therefore, contracting and expanding along and parallel to the axis.
  • the central, nodal portion of the diaphragm which has no longitudinal motion, nevertheless, at the same time expands and contracts in the nodal plane perpendicular to the axis. It is to permit this transverse motion in the nodal plane that the diaphragm is subdivided in the manner described below.
  • An object of the present invention is to provide a very sensitive, energy converter of the abovedescribed character that shall translate acoustic into electric energy or vice versa, with greater efiiciency than has been possible heretofore.
  • a further object is to provide a new and improved acoustic piston.
  • This piston will, hereinafter, in the specification and the claims, for convenience and by analogy, be referred to as a diaphragm. q
  • a further object is to provide a sectional diaphragm, the sections or blocks of which are properly designed and individually driven in unison so as to cause the diaphragm to move as a unit expansionally.
  • a further object is to provide -a sectional diaphragm, the sections or blocks of which are permitted a transverse dilation and contraction as they execute a longitudinal contraction and expansion along their axes.
  • a further object is to provide a novel expansional metal diaphragm.
  • Another object is to provide a novel diaphragm energized by driving members which are operative through internal stresses, such as are brought about by magneto-striction, or piezo-electricity;
  • Another object is to provide a novel diaphragm particularly adapted for supersonic electroacoustic energy conversions.
  • Fig. 4 is a similar perspective of a modification
  • Fig. 5 is a diagrammatic view of circuits and apparatus illustrating one form of the invention as applied to piezo-electric-cry'stal drive.
  • the invention is illustrated in the accompanying drawings as applied to a supersonic transmitter or-receiver, but it will be'obvious that the invention is not limited thereto, and is applicable t6other types of transmitters as well'--as to receivers.
  • the device if to be used under water, may be mounted in a rotatable, submerged housing, or it may be secured to any object I, as the side of a water craft, by means of bolts 3 passing through openings 5 in a relatively fixed or im- .movable, outer, inertia annular or ring portion 2.
  • the inner, vibratory, diaphragm portion 4 cylindrical or disc-shaped, is integrally connected to the outer annular portion 2 by an intermediately disposed, relatively thin, annular web 6.
  • a uniform, metallic connection is thus obtained between the outer ring ,2 and the diaphragm d.
  • the web 6 is thin enough so as to be. relatively yielding, thus permitting the receiving or radiating face I of the diaphragm portion 5 to vibrate substantially like a piston, in a direction transversely of itself, substantially all the flexing taking place in the web 6.
  • the large mass of the inertia. ring 2 prevents transmission of vibration thereto.
  • the diaphragm portion 4 illustrated in Figs. 1, 2, 3'and 4 is therefore divided into sections or blocks.
  • these blocks are of two kinds: a central, inner, cylindrical or disclike block 8 and seven outer blocks Ill, each in the form of a sector of an annulus.
  • the circular arrangement is merely the preferredform, and that other shapes could be used.
  • a rectangular assemblage of square blocks is theoretically operable.
  • Clamping devices for holding a rectangular diaphragm are non-uniform around the periphery and are somewhat unreliable in operation. Hexagonal and other shapes could also be employed.
  • the sector sections or blocks Ill are integrally connected to one another by relativelyv thin, radially disposed webs l2, located at or near the axial upper and lower extremities of the blocks,"
  • the diaphragm t is in this manner separated into eight resonant blocks, and the spaces between the webs i2 and i3 permit the median nodal sections of the individual blocks to vibrate transversely independently of each other, without having any block react unfavorably upon any of the others and without, therefore, introducing vibrations of different phase in the various portions of the radiating face i.
  • These spaces between the webs i2 and those between the webs It should not be very wide for this purpose, the desirable minimum transverse width of the spaces being determined rather by considerations of easy casting.
  • each of the diaphragm blocks 8 and i0 is provided with a magnetostrictive core it, so as to cause individual driving of the blocks 8 and in.
  • the cores l6 may, of course, be replaced by piezoelectric crystals 24, as shown in Fig. 5, or the blocks may be driven in any other desired manner.
  • the blocks 8 and It are driven by means of reversible internal stresses to obtain high frequencies.
  • the cores It may be constituted of any desired magnetostrictive material.
  • the vibrations-of the core it are of such a nature that it executes longitudinal expansion and contractions, the free and attached ends being in motion while there will be one or more nodes suitably disposed along the core.
  • the vibrations of the lower extremity of the core It will be communicated to the block 8 or I0 to which it is attached, and the block in turn will also vibrate expansionally, the degree of vibration depending upon how oloseit approaches resonance to the driving frequency and to the resonant frequency ofthe core M, and upon the magnitude of the internal frictional losses.
  • the core M and the block to which it is secured should have substantially the same natural frequency. No mass other than that of the nickel tube itself is necessary for-the vibration of the tube to react against.
  • the blocks 8 and III will be causedto be driven in unison, with the result that the emittingface l of the diaphragm 4 will'be caused to vibrate as a unit at the resonant frequency, say 30 kilocycles, its motion very closely approximating to a true piston motion.
  • the webs l2 and I3 are made short so that they have no possible mode of vibration as low as 30 kilocycles. In this manner, they will introduce no disturbing modes of vibration into the face I of the diaphragm as a whole.
  • the diaphragm 4, therefore, presents to the medium, such as water, a substantiallyplane face I, all parts of which are in time phase.
  • the operation of the diaphragm may be improved by a composition of cast aluminum with about 5 percent silicon.
  • the silicon though 'hot materially affecting the vibrational qualities, lowers the melting temperature and, therefore, facilitates foundry manipulation.
  • the individual blocks or sections Ill and 8 should, therefore, have as large an emitting surface I as possible.
  • the metal of the diaphragm should, therefore, preferably be such that the bulk velocity of sound therein is large. Aluminum, besides having a low mechanical viscosity, has also a large'bulk velocity of transmission of sound.
  • the practical minimum limit of length to radius of block cross section is about 3 to 1 for all frequencies. If the ratio is much less than this, the block will not vibrate in a simple manner, as before described, but a series of nodal lines will appear upon the radiating face due to the restriction of the necessary lateral vibration in the median plane. The same ratio applies approximately for rectangular and sector blocks, replacing the radius by half the side of the square section or half the mean arc width of the sector. The length is determined by the frequency desired and the bulk velocity of sound in the material of the block. For aluminum blocks, the following dimensions are found convenient at 30 kilocycles:
  • a. is the redius of the black 8 or half the mean arc width of the cross-sectional area of the block l9; and L is the height of the blocks.
  • the ratio of the length to the width is thus not substantially less than 3/2.
  • the frequency of a. longitudinally-vibrating bar can be computed even when the ratio of radius of the cross-section to the length becomes large by making a suitable correction for radial inertia. If the length is not large compared with the diameter of the bar, the expression for the frequency of longitudinal resonance of a short thick bar of elliptical or rectangular crosssection as given by Chree, Quart. Math. Journal, vol. 23, p. 317, 1889, becomes G cycle frequency.
  • k E rm/a s V H I which is the square of the bulk velocity may be computed after experiments performed upon the specific material used and the result employed in connection with the computation of new vibrators of that material.
  • the thickness of the diaphragm is equal to a half-wave length of sound in the material thereof, or to integral multiples of the half-wave length.
  • each of the blocks is driven by a piezo-' electric crystal 24 rigidly fastened at one end by means of suitable cement to the upper face 9 of the block.
  • the crystal electrodes may consist of tin-foil layers 26 deposited upon opposite faces of the crystal, but any other electrodes of suitable type may be employed.
  • the tin-foil layers or other electrodes may be connected by conductors.28' in parallel to a coil 30 coupled to a coil '32 in the output circuit of a vacuum-'-tube oscillator 34 or of any other source of alternating-current frequency.
  • the frequency of the output of this oscillator may be adjusted by means of a tuning condenser 36.
  • a diaphragm comprising a plurality of diaphragm sections each provided with a radiating or receiving face and a face opposite thereto, the sections being adapted to vibrate so as to produce a loop of motion at the radiating or receiving faces and a node of motion between the faces of each section, and a web or webs connecting the sections near the said opposite face in a region substantially removed from the said nodes and at av substantial distance from the radiating or receiving face.
  • a diaphragm comprising a plurality of diaphragm sections each provided with a radiating or receiving face and a face opposite thereto, the sections being adapted to vibrate so as to produce a loop of motion at the radiating or receiving faces and a node of motion between the faces of each section, and a web or webs connecting the sections near the radiating or receiving face in a region substantially removed from the said nodes and at a substantial distance from the said opposite face.
  • a device of the class described having a diaphragm comprising a plurality of diaphragm sections, each section having two oppositely disposed faces and 'being adapted to vibrate expansionally by contracting and expanding to and from a nodal plane disposed intermediately between the faces to produce loops of expansional vibration at the said faces, and webs coonnecting the sections for cophasing their vibrations.
  • a device of the class described having a diaphragm comprising a plurality of diaphragm sections disposed along an annulus, and means connecting the sections together, each section having two oppositely disposed faces and .being adapted to vibrate expansionally by cfntracting and expanding to and from a nodal pl ne disposed intermediately between the faces to produce loops of expansional vibration at the saidfaces, the sec tions being dimensioned so as to have substan tially the same natural frequencies.
  • a diaphragm comprising a central diaphragm section and a plurality of diaphragm secheight from the height of the other sections such that it has substantially the same frequency as the frequency of the other sections.
  • a diaphragm cgm prising a central diaphragm section and a plurality of diaphragm sections disposed about the central section, the lastnamed sections having substantially equal shapes, heights and areas, the central section being of difierent shape and area from the shape and area of the other sections, the difference in shape and area being compensated by a height slightly different from the height of the other sections, the sections being connected together by webs the upper faces of which are substantially in the same plane with the upper face of the central section.
  • a diaphragm comprising a pluralityof diaphragm sections each having two oppositelydisposed faces and each having length and width, the ratio of the length to the width being substantially equal to or greater than 3/2, the sections being connected together by webs, and means for actuating the diaphragm sections at a common resonant frequency of expansional vibration, the relative dimensions and the materials of the diaphragm sections and of the actuating means being such as to render their combination resonant atthe said common resonant frequency.
  • a vibrator for interchanging electrical and mechanical energy with a sound-conveying medium comprising a plurality of diaphragm sections having substantially the same natural'frequency and adapted to be positioned in sonorous relation to the sound-conveying medium, the diaphragm sections each having two oppositely disposed faces and each being expansionally vibratory so as to contract and expand lengthwise to and from nodal planes disposed intermediate to said faces, the sections being spaced from one another transversely at the nodal planes so as to be free to expand and contract transversely at the nodal planes and being connected together into a unitary vibrator by webs having a face coplanar with one set of said faces for supporting' the sections and cophasing their vibrations, and means individually connected with each section for driving the corresponding section at a common resonant frequency of expans'ional vibration, the relative dimensions of the sections and of the individual driving means being such asto render their combination resonant at the said common resonant frequency, whereby the sections and the webs will be driven
  • a device of the class described having a vibratory diaphragm portion and a relatively fixed portion, an intermediately disposed web connecting the portions, the relatively fixed portion constituting a support for the vibratory portion, the vibratory portion comprising a plurality of diaphragm sections, each section having two oppositely disposed faces and being adapted to vibrate expansionally by contracting and expanding toward and from an intermediately disposed nodal plane, whereby one face of each section is adapted to vibrate between limiting positions .on both sides of the position of rest occupied by the said one face when the sections are at rest, one set of said section faces being disposed in a single plane, and a plurality of' webs for connecting the sections and cophasing their vibrations afiixed to the individual sections near the said positions of rest of the said faces in a region substantially removed from the said nodal plane and aside from the path of vibration in the section, means connected with each section for vibrating the corresponding section expansionally, and means for actuating the vibrating means in unison.
  • a diaphragm comprising a plurality of diaphragm sections each having two oppositely disposed faces and each having length and width, the ratio of the length to the width being substantially equal to or greater than 3/2, and individual means for actuating the diaphragm sections at a common resonant frequency of expansional vibration, the relative dimensions of the diaphragm sections and of the individual actuating means being such as to render their combination resonant at the said common resonant frequency, and the plurality of sections being joined to form a unitary vibrator by a system of webs coplanar with one set of said faces.

Description

15, 1936. R. STEINBERGER APPARATUS FOR TRANSMISSION AND RECEPTION 2 Sheets-Sheet 1 Qriginal Filed Dec. 4, 1931 Dec. 15, 1936. R. STEINBERGER APPARATUS FOR TRANSMISSION AND RECEPTION Original Filed Dec. 4, 1931 2 Sheets-$heet 2 Patented Dec. 15, 1936 PATENT OFFICE APPARATUS FOR TRANSMISSION AND RECEPTION Raymond L. Steinberger, Westwood, Mass., as-
signor to George W. Pierce, Cambridge, Mass.
Original application December 4, 1931, Serial No. 579,039. Divided and this application July 19, 1935,"Serial No. 32,252
11 Claims.
The present invention;' although having fields of more general usefulness, is particularly related to devices for converting or translating acoustic energy into electric energy and vice versa. From a more limited aspect, the invention relates to diaphragms. The present application is a division of application, Serial No. 579,039, filed December 4, 1931.
It has long been recognized, for theoretical reasons which need not be. entered into here, that the ideal coupling element for radiating a concentrated beam of acoustic energy into a liquid or gaseous mediunnor for the directionally-selective reception of acoustical energy from such a medium in electro-acoustic energy-convertor systems, is a diaphragm whose face dimensions are relatively large compared to the wave length of the acoustic energy in the medium, and in which all points of the radiating face are vibrating in phase and with equal amplitude like a piston.
The ordinary metal membrane diaphragm commonly used, at the present time in the communication art,\does not satisfy this ideal condition. It cannot move as a piston because it is clamped along its periphery. Such a diaphragm may introduce a dispersion of the radiated energy at its several higher modes of vibration which will cause the various parts of the diaphragm to be out of phase with one another so that the transmitted energy, for example, is not properly focused! It is well known that, in order to be an eificient translating member, such a diaphragm must be tuned to the frequency of the radiated or received acoustic energy. At the very high sound frequencies called into play in supersonic work, say, 30 kilocycles, a resonant disc vibrating in the manner of an ordinary telephone diaphragm is, indeed, wholly impractical. At such frequencies a resonant plate or disc has proportions more nearly comparable to a short cylinder.
In the ordinary diaphragm clamped along its periphery and vibrating in its fundamental mode, all portions of the diaphragm will be moving in the same direction at any given time; that is to say, they will be in phase. In the diaphragm described in the present application, the median plane, parallel to and midway between the faces of the diaphragm, executes no appreciable motionalong the axis of the diaphragm; that is, it is a node; while the two faces of the diaphragm move in opposite directions along the axis at all times; that is, the two faces execute vibrations essentially 180 out of phase. This mode of vibration, for a particular frequency, is realized by making the thickness of the diaphragm, that is, the length along the axis, substantially equal to one-half of the wave lengthof sound in the material comprising the diaphragm. The vibra: tion of the diaphragm in this manner will hereinafter be defined as expansional vibration.
Any longitudinal element of the diaphragm along the axis is, therefore, contracting and expanding along and parallel to the axis. The central, nodal portion of the diaphragm, which has no longitudinal motion, nevertheless, at the same time expands and contracts in the nodal plane perpendicular to the axis. It is to permit this transverse motion in the nodal plane that the diaphragm is subdivided in the manner described below.
An object of the present invention is to provide a very sensitive, energy converter of the abovedescribed character that shall translate acoustic into electric energy or vice versa, with greater efiiciency than has been possible heretofore.
A further object is to provide a new and improved acoustic piston. This piston will, hereinafter, in the specification and the claims, for convenience and by analogy, be referred to as a diaphragm. q
A further object is to provide a sectional diaphragm, the sections or blocks of which are properly designed and individually driven in unison so as to cause the diaphragm to move as a unit expansionally.
A further object is to provide -a sectional diaphragm, the sections or blocks of which are permitted a transverse dilation and contraction as they execute a longitudinal contraction and expansion along their axes.
A further object is to provide a novel expansional metal diaphragm.
Another object is to provide a novel diaphragm energized by driving members which are operative through internal stresses, such as are brought about by magneto-striction, or piezo-electricity;
Another object is to provide a novel diaphragm particularly adapted for supersonic electroacoustic energy conversions.-
Other objects will be explained hereinafter, and will be more particularly pointed out in the appended claims.
The invention will be explained in connection coll being shown in section; Fig. 4 is a similar perspective of a modification; and Fig. 5 is a diagrammatic view of circuits and apparatus illustrating one form of the invention as applied to piezo-electric-cry'stal drive.
The invention is illustrated in the accompanying drawings as applied to a supersonic transmitter or-receiver, but it will be'obvious that the invention is not limited thereto, and is applicable t6other types of transmitters as well'--as to receivers. The device, if to be used under water, may be mounted in a rotatable, submerged housing, or it may be secured to any object I, as the side of a water craft, by means of bolts 3 passing through openings 5 in a relatively fixed or im- .movable, outer, inertia annular or ring portion 2.
The inner, vibratory, diaphragm portion 4, cylindrical or disc-shaped, is integrally connected to the outer annular portion 2 by an intermediately disposed, relatively thin, annular web 6.
' A uniform, metallic connection is thus obtained between the outer ring ,2 and the diaphragm d. The web 6 is thin enough so as to be. relatively yielding, thus permitting the receiving or radiating face I of the diaphragm portion 5 to vibrate substantially like a piston, in a direction transversely of itself, substantially all the flexing taking place in the web 6. The large mass of the inertia. ring 2 prevents transmission of vibration thereto.
All points on the upper and lower end faces of the single expansional, resonant, cylindrical units of which the diaphragm is built, which individual units should have as large a diameter and as small a length as possible, should vibrate in phase over each face. The limit in choosing a large cross-sectional area compared to axial length, however, is small, because the cylinder fore, have a tendency to vibrate in a.v phase oppositeto that of other parts. At a distance from thetransmitting face I, therefore, the vibrations set up from the transmitting face '1 in the medium would cancel each other, so that the diaphragm will not efflciently emit a focused beam of sound energy." These considerations are particularly potent at high frequencies.
, The diaphragm portion 4 illustrated in Figs. 1, 2, 3'and 4 is therefore divided into sections or blocks. According to the embodiment of the invention there illustrated, these blocks are of two kinds: a central, inner, cylindrical or disclike block 8 and seven outer blocks Ill, each in the form of a sector of an annulus. It will be understood, however, that the circular arrangement is merely the preferredform, and that other shapes could be used. Thus, a rectangular assemblage of square blocks is theoretically operable. Clamping devices for holding a rectangular diaphragm, however, are non-uniform around the periphery and are somewhat unreliable in operation. Hexagonal and other shapes could also be employed.
The sector sections or blocks Ill are integrally connected to one another by relativelyv thin, radially disposed webs l2, located at or near the axial upper and lower extremities of the blocks,"
and to the central section or block 8 by similar thin, but annular, webs IS. The blocks are thus mechanically coupled together so that, though it is possible to drive them individually, each of the opposite faces 1 and 9 of diaphragm & will vibrate as a piston with the faces i and 9 opposed in phase. Diaphragms of this kind may be menufactured conveniently by casting.
The diaphragm t is in this manner separated into eight resonant blocks, and the spaces between the webs i2 and i3 permit the median nodal sections of the individual blocks to vibrate transversely independently of each other, without having any block react unfavorably upon any of the others and without, therefore, introducing vibrations of different phase in the various portions of the radiating face i. These spaces between the webs i2 and those between the webs It should not be very wide for this purpose, the desirable minimum transverse width of the spaces being determined rather by considerations of easy casting.
As the diaphragm sections vibrate expansionally, as before described, there is a node of longitudinal motion about half way between their faces i and 9 and loops of longitudinal motion at the said faces. It will thus be observed that the diaphragm sections are supported by the annular web 6 near these loops of motion.
According to the preferred embodiment of the invention, the driving of the individual blocks 8 and i0 is effected magnetostrictively. To this end, each of the diaphragm blocks 8 and i0 is provided with a magnetostrictive core it, so as to cause individual driving of the blocks 8 and in. The cores l6 may, of course, be replaced by piezoelectric crystals 24, as shown in Fig. 5, or the blocks may be driven in any other desired manner. When operated magnetostrictively or piezoelectrically, the blocks 8 and It are driven by means of reversible internal stresses to obtain high frequencies. The cores It may be constituted of any desired magnetostrictive material. -A thin, nickel tube, resonant with the blocks 8 and III to which it is attached, operates very well in practice. To the lower end may be rigidly attached an interiorly threaded cap plate It by means of which the core may be threaded upon a screw l8 that is integrally fixed 'to the diaphragm blocks 8 and It. The cores it may be individually and simultaneously caused to vibrate by means of energizing coils, one of which is shown at 20, and supplied with power from any desired source. These coils may also supply a constant magnetic polarization to the core. The vibrations-of ,the core it are of such a nature that it executes longitudinal expansion and contractions, the free and attached ends being in motion while there will be one or more nodes suitably disposed along the core. The vibrations of the lower extremity of the core It will be communicated to the block 8 or I0 to which it is attached, and the block in turn will also vibrate expansionally, the degree of vibration depending upon how oloseit approaches resonance to the driving frequency and to the resonant frequency ofthe core M, and upon the magnitude of the internal frictional losses. Theoretically, the core M and the block to which it is secured should have substantially the same natural frequency. No mass other than that of the nickel tube itself is necessary for-the vibration of the tube to react against. The purpose of the cap plate i6 is toprovide a convenient means of rigid assembly f the core r4 to the face 9, thereby providing where a is the longitudinal velocity of sound in the metal of the tube, 1 is the resonant driving frequency, is is any odd integer, while which is independent of L, is determined by the mass of the threaded cap ina manner shown by the equation me being the mass per unit length of the tube and M the total massof the cap. From the equation for L, we see that successive optimum values are obtained by starting with the shortest value L= when 1 =1 2r 4 and increasing the length of this value by successive additions of 1/2 x, A representing the wave length.
By proper design of the sections 8 and III, the cores I4 and the coils 20, and by having the current in the coils 20 in phase, the blocks 8 and III will be causedto be driven in unison, with the result that the emittingface l of the diaphragm 4 will'be caused to vibrate as a unit at the resonant frequency, say 30 kilocycles, its motion very closely approximating to a true piston motion. The webs l2 and I3 are made short so that they have no possible mode of vibration as low as 30 kilocycles. In this manner, they will introduce no disturbing modes of vibration into the face I of the diaphragm as a whole. The diaphragm 4, therefore, presents to the medium, such as water, a substantiallyplane face I, all parts of which are in time phase.
The parts may be varied in design according to the purpose in hand. As shown in Fig. 4, an
The operation of the diaphragm may be improved by a composition of cast aluminum with about 5 percent silicon. The silicon, though 'hot materially affecting the vibrational qualities, lowers the melting temperature and, therefore, facilitates foundry manipulation.
It is desirable to present as large a vibrating surface to the medium as possible with the least complexity of design. The individual blocks or sections Ill and 8 should, therefore, have as large an emitting surface I as possible. The metal of the diaphragm should, therefore, preferably be such that the bulk velocity of sound therein is large. Aluminum, besides having a low mechanical viscosity, has also a large'bulk velocity of transmission of sound.
It is possible to compute the most suitable dimensions for the blocks. For a cylindrical block, such as the block 8, the practical minimum limit of length to radius of block cross section is about 3 to 1 for all frequencies. If the ratio is much less than this, the block will not vibrate in a simple manner, as before described, but a series of nodal lines will appear upon the radiating face due to the restriction of the necessary lateral vibration in the median plane. The same ratio applies approximately for rectangular and sector blocks, replacing the radius by half the side of the square section or half the mean arc width of the sector. The length is determined by the frequency desired and the bulk velocity of sound in the material of the block. For aluminum blocks, the following dimensions are found convenient at 30 kilocycles:
a=1 inch, approximately, L=3 inches, approximately,
where a. is the redius of the black 8 or half the mean arc width of the cross-sectional area of the block l9; and L is the height of the blocks. The ratio of the length to the width is thus not substantially less than 3/2.
The resonant frequencies of two short cylinders equal in length whose section areas are equal, one of which is circular and the other square, are nearly, but not quite, equal. If the number of sector blocks I0 is properly chosen, their areas will not differ greatly from the area of the central block 8. By proper design, the areas of the blocks 8 and "I may be made exactly equal, with the ratio of mean arc width to radial thickness nearly equal to unity for each of the sector blocks. This approximation to unity ratio depends upon the number of blocks per annulus, and becomes the better the larger the mean radius of the annulus. In designing the diaphragm, the number of whole blocks in the given annulus is computed. The departure from the unity ratio of width to thickness necessary in making the cross-section areas equal introduces a negligible error in the frequency computation.
It is found, however, because of the difference in shape between the block 8 and the block it and because of the loading effect of the webs 6, l2 and I 3, that the height of the block 8 may, under certain conditions, be slightly different from that of the blocks [0, else the frequency of the central block 8 will be slightly different than that of the other blocks Ill. The exact design cannot readily be worked out mathematically, but may best be checked experimentally. In Fig. 3, the central block 8 is shown slightly shorter in length than the annular blocks I0 and the upper faces of the webs l2 and B are disposed in the same plane with the upper face of the central sector 8. These webs must not, of course, be positioned lower down, at a point of nodal expansion and contraction, but could be positioned elsewhere.
The frequency of a. longitudinally-vibrating bar can be computed even when the ratio of radius of the cross-section to the length becomes large by making a suitable correction for radial inertia. If the length is not large compared with the diameter of the bar, the expression for the frequency of longitudinal resonance of a short thick bar of elliptical or rectangular crosssection as given by Chree, Quart. Math. Journal, vol. 23, p. 317, 1889, becomes G cycle frequency. To
sound-emitting plane surface I at this frequency,
' I I I 2,063,951
where ,f is the frequency in cycles per second,
'70 is any integer, odd or even, L is the total length The above equation is also valid for the case where K/L is small.
Then it reduces to k E rm/a s V H I which is the square of the bulk velocity may be computed after experiments performed upon the specific material used and the result employed in connection with the computation of new vibrators of that material.
Using these formulas for the block frequencies, it will be found that if (1:1 inch, as above,
the corresponding length ofthe aluminum central block 8, as determined for a 30-kilocycle frequency is L=3.2 inches.
This is a very fainapproximation of the 3 to 1 ratio before mentioned. In practice, however, good results maybe obtained if the ratio is as great as, or even greater than, 20 to l. The thickness of the diaphragm is equal to a half-wave length of sound in the material thereof, or to integral multiples of the half-wave length.
These dimensions are suitable for a 30-kiloincrease the area of the it is preferable to add additional annuli 22 of sector blocks between the annulus blocks l0 and the fixedannular portion 2, as shown in Fig. 4.
According to the modification illustrated in Fig. '5, each of the blocks is driven by a piezo-' electric crystal 24 rigidly fastened at one end by means of suitable cement to the upper face 9 of the block. The crystal electrodes may consist of tin-foil layers 26 deposited upon opposite faces of the crystal, but any other electrodes of suitable type may be employed.
The tin-foil layers or other electrodes may be connected by conductors.28' in parallel to a coil 30 coupled to a coil '32 in the output circuit of a vacuum-'-tube oscillator 34 or of any other source of alternating-current frequency. The frequency of the output of this oscillator may be adjusted by means of a tuning condenser 36. A
further condenser 38 in parallel with the crystal It will be understood that the invention is not restricted to-the illustrated embodiments there- 'of, but is susceptible to further modifications and change within the skill of ,the artisan, and all such modifications and changes are considered to fall within the spirit and scope of the nvention as defined in the appended claims.
What is claimed is:
1. A diaphragm comprising a plurality of diaphragm sections each provided with a radiating or receiving face and a face opposite thereto, the sections being adapted to vibrate so as to produce a loop of motion at the radiating or receiving faces and a node of motion between the faces of each section, and a web or webs connecting the sections near the said opposite face in a region substantially removed from the said nodes and at av substantial distance from the radiating or receiving face.
2. A diaphragm comprising a plurality of diaphragm sections each provided with a radiating or receiving face and a face opposite thereto, the sections being adapted to vibrate so as to produce a loop of motion at the radiating or receiving faces and a node of motion between the faces of each section, and a web or webs connecting the sections near the radiating or receiving face in a region substantially removed from the said nodes and at a substantial distance from the said opposite face.
3. A device of the class described having a diaphragm comprising a plurality of diaphragm sections, each section having two oppositely disposed faces and 'being adapted to vibrate expansionally by contracting and expanding to and from a nodal plane disposed intermediately between the faces to produce loops of expansional vibration at the said faces, and webs coonnecting the sections for cophasing their vibrations.
4. A device of the class described having a diaphragm comprising a plurality of diaphragm sections disposed along an annulus, and means connecting the sections together, each section having two oppositely disposed faces and .being adapted to vibrate expansionally by cfntracting and expanding to and from a nodal pl ne disposed intermediately between the faces to produce loops of expansional vibration at the saidfaces, the sec tions being dimensioned so as to have substan tially the same natural frequencies.
5. A diaphragm comprising a central diaphragm section and a plurality of diaphragm secheight from the height of the other sections such that it has substantially the same frequency as the frequency of the other sections.
6. A diaphragm cgmprising a central diaphragm section and a plurality of diaphragm sections disposed about the central section, the lastnamed sections having substantially equal shapes, heights and areas, the central section being of difierent shape and area from the shape and area of the other sections, the difference in shape and area being compensated by a height slightly different from the height of the other sections, the sections being connected together by webs the upper faces of which are substantially in the same plane with the upper face of the central section.
7. Means for supporting and cophasing the vibrations of a plurality ofexpan'sionally vibra tory diaphragm sections each having two oppositely disposed faces reciprocally vibratory toward and from each other, comprising a relatively fixed member and a system of thin, narrow webs interconnecting the diaphragm sections and thefixe'd member, the web .system being essentially coplanar with one set of said faces. 1
8. A diaphragm comprising a pluralityof diaphragm sections each having two oppositelydisposed faces and each having length and width, the ratio of the length to the width being substantially equal to or greater than 3/2, the sections being connected together by webs, and means for actuating the diaphragm sections at a common resonant frequency of expansional vibration, the relative dimensions and the materials of the diaphragm sections and of the actuating means being such as to render their combination resonant atthe said common resonant frequency.
9. A vibrator for interchanging electrical and mechanical energy with a sound-conveying medium comprising a plurality of diaphragm sections having substantially the same natural'frequency and adapted to be positioned in sonorous relation to the sound-conveying medium, the diaphragm sections each having two oppositely disposed faces and each being expansionally vibratory so as to contract and expand lengthwise to and from nodal planes disposed intermediate to said faces, the sections being spaced from one another transversely at the nodal planes so as to be free to expand and contract transversely at the nodal planes and being connected together into a unitary vibrator by webs having a face coplanar with one set of said faces for supporting' the sections and cophasing their vibrations, and means individually connected with each section for driving the corresponding section at a common resonant frequency of expans'ional vibration, the relative dimensions of the sections and of the individual driving means being such asto render their combination resonant at the said common resonant frequency, whereby the sections and the webs will be driven in synchronism as a unitary vibrator with the sections all in substantially the same phase.
10. A device of the class described having a vibratory diaphragm portion and a relatively fixed portion, an intermediately disposed web connecting the portions, the relatively fixed portion constituting a support for the vibratory portion, the vibratory portion comprising a plurality of diaphragm sections, each section having two oppositely disposed faces and being adapted to vibrate expansionally by contracting and expanding toward and from an intermediately disposed nodal plane, whereby one face of each section is adapted to vibrate between limiting positions .on both sides of the position of rest occupied by the said one face when the sections are at rest, one set of said section faces being disposed in a single plane, and a plurality of' webs for connecting the sections and cophasing their vibrations afiixed to the individual sections near the said positions of rest of the said faces in a region substantially removed from the said nodal plane and aside from the path of vibration in the section, means connected with each section for vibrating the corresponding section expansionally, and means for actuating the vibrating means in unison.
11. A diaphragm comprising a plurality of diaphragm sections each having two oppositely disposed faces and each having length and width, the ratio of the length to the width being substantially equal to or greater than 3/2, and individual means for actuating the diaphragm sections at a common resonant frequency of expansional vibration, the relative dimensions of the diaphragm sections and of the individual actuating means being such as to render their combination resonant at the said common resonant frequency, and the plurality of sections being joined to form a unitary vibrator by a system of webs coplanar with one set of said faces.
R. L. STEINBERGER.
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Cited By (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US2539535A (en) * 1946-03-16 1951-01-30 Bell Telephone Labor Inc Source of electrical energy
US2728869A (en) * 1950-01-06 1955-12-27 Ultraschall A G Piezoelectric oscillator or vibrator for ultrasonic waves, especially as an instrument for therapeutical treatment and diagnosis
US3019637A (en) * 1959-03-24 1962-02-06 Curtiss Wright Corp Ultrasonic testing arrangement
US3329408A (en) * 1965-03-29 1967-07-04 Branson Instr Transducer mounting arrangement
US3525071A (en) * 1968-04-10 1970-08-18 Dynamics Corp America Electroacoustic transducer
US3593257A (en) * 1968-06-14 1971-07-13 Dynamics Corp America Electroacoustic transducer

Families Citing this family (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US2742773A (en) * 1952-03-21 1956-04-24 Kroy Unshrinkable Wools Ltd Method and apparatus for treating textile goods, loose fibers and like materials
US4122725A (en) * 1976-06-16 1978-10-31 The United States Of America As Represented By The Administrator Of The National Aeronautics And Space Administration Length mode piezoelectric ultrasonic transducer for inspection of solid objects

Cited By (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US2539535A (en) * 1946-03-16 1951-01-30 Bell Telephone Labor Inc Source of electrical energy
US2728869A (en) * 1950-01-06 1955-12-27 Ultraschall A G Piezoelectric oscillator or vibrator for ultrasonic waves, especially as an instrument for therapeutical treatment and diagnosis
US3019637A (en) * 1959-03-24 1962-02-06 Curtiss Wright Corp Ultrasonic testing arrangement
US3329408A (en) * 1965-03-29 1967-07-04 Branson Instr Transducer mounting arrangement
US3525071A (en) * 1968-04-10 1970-08-18 Dynamics Corp America Electroacoustic transducer
US3593257A (en) * 1968-06-14 1971-07-13 Dynamics Corp America Electroacoustic transducer

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