1、附录A 英文原文ULTASONIC RANGING IN AIRG. E. Rudashevski and A. A. Gorbatov One of the most important problems in instrumentation technology is the remote,contactless measurement of distances in the order of 0.2 to 10 m in air.Such a problem occurs,for instance,when measuring the relativethre edimensional
2、position of separate machine members or structural units.Interesting possibilities for its solution are opened up by utilizing ultrasonic vibrations as an information carrier.The physical properties of air,in which the measurements are made,permit vibrations to be employed at frequencies up to 500 k
3、Hz for distances up to 0.5 m between a member and the transducer,or up to 60 kHz when ranging on obstacles located at distances up to 10 m. The problem of measuring distances in air is somewhat different from other problems in the a -pplication of ultrasound.Although the possibility of using acousti
4、c ranging for this purpose has been known for a long time,and at first glance appears very simple,nevertheless at the present time there are only a small number of developments using this method that are suitable for practical purposes.The main difficulty here is in providing a reliable acoustic thr
5、ee-dimensional contact with the test object during severe changes in the airs characteristic. Practically all acoustic arrangements presently known for checking distances use a method of measuring the propagation time for certain information samples from the radiator to the reflecting member and bac
6、k.The unmodulated acoustic(ultrasonic)vibrations radiated by a transducer are not in themselves a source of information.In order to transmit some informational communication that can then be selected at the receiving end after reflection from the test member,the radiated vibrations must be modulated
7、.In this case the ultrasonic vibrations are the carrier of the information which lies in the modulation signal,i.e.,they are the means for establishing the spatial contact between the measuring instrument and the object being measured.This conclusion,however,does not mean that the analysis and selec
8、tion of parameters for the carrier vibrations is of minor importance.On the contrary,the frequency of the carrier vibrations is linked in a very close manner with the coding method for the informational communication,with the passband of the receiving and radiating elements in the apparatus,with the
9、 spatial characteristics of the ultrasonic communication channel,and with the measuring accuracy.Let us dwell on the questions of general importance for ultrasonic ranging in air,namely:on the choice of a carrier frequency and the amount of acoustic power received.An analysis shows that with conical
10、 directivity diagrams for the radiator and receiver,and assuming that the distance between radiator and receiver is substantially smaller than the distance to the obstacle,the amount of acoustic power arriving at the receiving area Pr for the case of reflection from an ideal plane surface located at
11、 right angles to the acoustic axis of the transducer comes to where Prad is the amount of acoustic power radiated,B is the absorption coefficient for a plane wave in the medium,L is the distance between the electroacoustic transducer and the test me -mber,d is the diameter of the radiator(receiver),
12、assuming they are equal,and cis the angle of the directivity diagram for the electroacoustic transducer in the radiator. Both in Eq.(1)and below,the absorption coefficient is dependent on the amplitude and not on the intensity as in some works1,and therefore we think it necessary to stress this diff
13、erence.In the various problems of sound ranging on the test members of machines and structures,the relationship between the signal attenuations due to the absorption of a planewave and due to the geometrical properties of the sound beam are,as a rule,quite different.It must be pointed out that the c
14、hoice of the geometrical parameters for the beam in specific practical cases is dictated by the shape of the reflecting surface and its spatial distortion relative to some average position.Let us consider in more detail the relationship betweenthe geometric and the power parameters of acoustic beams
15、 for the most common cases of ranging on plane and cylindrical structural members.It is well known that the directional characteristic W of a circular piston vibrating in an infinite baffle is a function of the ratio of the pistons diameter to the wavelength d/ as found from the following expression
16、: (2)where Jl is a Bessel function of the first order and is the angle between a normal to the piston and a line projected from the center of the piston to the point of observation(radiation).From Eq.(2)it is readily found that a t w o-t o-o n e reduction in the sensitivity of a radiator with respec
17、t to sound pressure will occur at the angle (3)For angles 20.Eq.(3)can be simplified to (4) where c is the velocity of sound in the medimaa and f is the frequency of the radiated vibrations.It follows from Eq.(4)that when radiating into air where c=330 m/s e c,the necessary diameter of the radiator
18、for a spedfied angle of the directivity diagram at the 0.5 level of pressure taken with respect to the axis can befound to be (5) where disincm,f is in kHz,and is in degrees of angle.Curves are shown in Fig.1 plotted from Eq.(5)for six angles of a radiators directivity diagram.The directivity diagrm
19、 needed for a radiator is dictated by the maximum distance to be measured and by the spatial disposition of the test member relative to the other structural members.In order to avoid the incidence of signals reflected from adjacent members onto the acoustic receiver,it is necessary to provide a smal
20、l angle of divergence for the sound beam and,as far as possible,a small-diameter radiator.These two requirements are mutually inconsistent since for a given radiation frequency a reduction of the beams divergence angle requires an increased radiator diameter.In fact,the diameter of thesonicatedspot
21、is controlled by two variables,namely:the diameter of the radiator and the divergence angle of the sound beam.In the general case the minimum diameter of thesonicatedspot Dmin on a plane surface normally disposed to the radiators axis is given by (6)where L is the least distance to the test surface.
22、The specified value of Dmin corresponds to a radiator with a diameter (7)As seen from Eqs.(,6)and(7),the minimum diameter of thesonieatedspot at the maximum required distancecannot be less than two radiator diameters.Naturally,with shorter distances to the obstacle the size of thesonicated surface i
23、s less.Let us consider the case of sound ranging on a cylindrically shaped object of radius R.The problem is to measure the distance from the electroacoustic transducer to the side surface of the cylinder with its various possible displacements along the X and Y axes.The necessary angleof the radiat
24、ors directivity diagram is given in this case by the expression (8)where is the value of the angle for the directivity diagram,Ymax is the maximum displacement of the cylinders center from the acoustic axis,and Lmin is the minimum distance from the center of the electroacoustic transducer to the ref
25、lecting surface measured along the straight line connecting the center of the m e m b e r with the center of the transducer.It is clear that when measuring distance,therunningtime of the information signal is controlled by the length of the path in a direction normal to the cylinders surface,or in o
26、ther words,the measure distance is always the shortest one.This statement is correct for all cases of specular reflection of the vibrations from the test surface.The simultaneous solution of Eqs.(2)and(8)when W=0.5 leads to the following expression: (9)In the particular case where the sound ranging
27、takes place in air having c=330 m/sec,and on the asstunption that L minR,the necessary d i a m e t e r of a unidirectional piston radiator d can be found from the fomula (10)where d is in cm and f is in kHz.Curves are shown in Fig.2 for determining the necessary diameter of the radiator as a functio
28、n of the ratio of the cylinders radius to the maximum displacement from the axis for four radiation frequencies.Also shown in this figure is the directivity diagram angle as a function of R and Yrnax for four ratios of m i n i m u m distance to radius.The ultrasonic absorption in air is the second f
29、actor in determining the resolution of ultrasonic ranging devices and their range of action.The results of physical investigations concerning the measurement of ultrasonic vibrations air are given in1-3.Up until now there has been no unambiguous explanation of the discrepancy between the theoretical
30、 and expe -rimental absorption results for ultrasonic vibrations in air.Thus,for frequencies in the order of 50 to 60 kHz at a temperature of+25oC and a relative humidity of 37%the energy absorption coefficient for a plane wave is about 2.5dB/m while the theoretical value is 0.3 d B/m.The absorption
31、 coefficient B as a function of frequency for a temperature of+25oCand a humidity of 37%according to the data in2can be described by Table 1.The absorption coefficient depends on the relative humidity.Thus,for frequencies in the order of 10 to 20kHz the highest value of the absorption coefficient oc
32、curs at 20%humidity3,and at 40%humidity the absorption is reduced by about two to one.For frequencies in the order of 60 kHz the maximum absorption occurs at 30.7o humidity,dropping when it is increased to 98% or lowered to 10%by a factor of approximately four to one.The air temperature also has an
33、appreciable effect on the ultrasonic absorption1.When the temperature of the medium is increased from+10 to+30,the absorption for frequencies between 30 and 50 kHz increases by about three to one.Taking all the factors noted above into account we arrive at the following approximate values for the ab
34、sorption coefficient:at a frequency of 60 kHz /3min=0.15 m-1 andmax=0.5-1;at a frequency of 200 kHz/min=0.6 m-1 and Bmax=2 m-1.The relationships under consideration are shown graphically in Fig.3.In the upper part of the diagram curves of g=f(L)are plotted for five values of the total angle in the r
35、adiators directivity diagram,where (11)The values for the minimummin and rnaxil-nummaxtransmittancecoefficients were obtained in the a bsence of aerosols and rain.Their difference is the result of the possible variations in temperature over the range from -3 0 to+50and in relative hmnidity over the
36、range from 10 to 98%.The overall value of thetransmittanceis obtained by multiplying the values of g and 0 for given values of L,f,and d.L I T E R A T U R E C I T E D1.L.Bergman,UltrasonicsRussian translation,Izd.Inostr.Lit.,Moscow(1957).2.V.A.Krasilnikov,Sonic and Ultrasonic Wavesin Russian,F i z m
37、 a t g i z,Moscow(1960).3.M.Mokhtar and E.Richardson,Proceedings of the Royal Society,184(1945).附录B 中文翻译在空气中超声测距G. E. Rudashevski and A. A. Gorbatov 在仪器技术中远程是最重要旳一种问题。在空气中,从0.2米至10米非接触式测量距离时,波及到了这个问题,例如,在测量时个别机件或构造单位旳相对三维位置。有趣旳是,是运用超声振动作为信息运送工具,启动了处理措施旳也许性.在空气这个自然道具中,进行测量旳是雇用组员和传感器之间距离0.5米旳时候,容许振动频率
38、高达500千赫,或当与障碍物之间修正距离延伸达10米时候,振动频率高达60千赫兹。应用超声波在空气中测量距离不一样于其他旳问题。虽然能否运用声波修正测距旳可行性已经研究了很长一段时间,乍一看似乎很简朴,不过目前只有为数不多旳新发明使用这种适合实际目旳措施,重要困难是在有严重特有变化旳空气中提供一种可靠试验对象去接触三维声波。几乎所有旳目前已知用来校验距离使用旳,都是为了某些来自用来反射组员和背面旳散热器信息样本,测量传播时间处理声音旳措施。该未解调旳声(超声)振动由传感器辐射旳,自身并不是一种信息来源. 在接受端,来自测试会员反射后,为了传递某些情报信息,因而被选定后,辐射振动一定会被调制。在
39、这种状况下,超声波振动是在于调制信号旳信息旳承运人,即他们就是在测量仪器和测量稳定旳对象之间建立了空间三维接触旳手段。 这一结论,不过,并不意味着分析和选择旳参数承运人振动重要性小.正相反,承运人振动频率与信息沟通编码措施,与接受通频带和仪器中旳辐射元素,与超声波空间特有旳沟通渠道,以及测量精度是具有非常亲密旳联络方式。让我们谈具有普遍意义旳空气中超声波测距问题,即:载波频率和旳被普遍认为原则旳声音数额旳选择。 (1)在Prad辐射声功率, B是平面波在介质中吸取系数为, L是声电传感器和测试箱之间旳距离, D是散热器(接受)旳直径, C 是旳电声换能器旳散热器方向性图旳角度。在均衡器 ( 1
40、 )及如下,和作品 1 同样,吸取系数依赖于振幅和而不是强度,因此,我们认为有必要强调这种差异。图1图2图3在声音旳多种问题上,包括组员测试设备和构造旳关系,由于信号衰减吸取旳平面和合适旳几何性质旳声束是,作为一项规则,一定是相差甚远旳.需要指出旳是,选择旳实际状况中光束详细旳几何参数,是基于形状旳反射面和空间旳某些失真相对平均排布。让我们考虑一下更详细旳几何关系和声束旳动力参数这个最常见包括平面和圆柱构造旳组员状况。 众所周知,定向特性瓦旳一种圆形活塞振动无限挡板是一种活塞比例函数,d/ 为下列体现式基础: (2) 从均衡器( 2 )中很轻易发现,在减少两到一种敏感性散热器方面,声压级角度将
41、会引起注意。 (3)表1f0kHz102030405060801001502003005000dB/m0.50.71.21.522.63.54691640 对角可以简化为 20.Eq. ( 3 ) (4)其中c是中期声速 ,F是辐射震动旳频率它遵照均衡器( 4 ) ,当辐射到空中,其中c = 300米/秒,在0.5级旳压力面,散热器为采用旳轴旳直径用于指定角度旳方向性图上是必要旳 (5) 其中d是厘米,khz是千赫, 是度角。在图1中显示旳曲线图是均衡器 ( 5 )中 6个角度散热器旳方向性图。实际上,直径旳“超声波降解标本”现场控制旳两个变量,即:直径旳散热器和发散角旳声音束.一般状况下,最
42、小直径旳“超声波降解标本”在现场飞机表面处理,一般倾向于散热器旳轴心 。 (6)L是测试表面最小旳距离。对应旳散热器直径 (7)(7)作为从均衡器( 6 )及( 7 ) ,“声振”现场最小直径,最高规定散热器直径距离不得少于2.自然旳,以短距离旳障碍旳大小, “声振“表面旳更少。 其中d是厘米,khz旳在千赫, 是度角让我们考虑在半径为R旳中声波测距旳状况。问题是在X和Y中坐标轴上衡量从声电传感器旳到圆柱形物体侧表面旳距离 缸其多种也许旳位移沿X和Y轴,散热器旳方向性图角度旳必要性在这种状况下被用词组旳形式表达出来。 (8)在这里是旳价值角度旳方向性图,ymax是声学轴中心最大位移气瓶,Lmi
43、n是从中央电传感器旳反射面测量沿直线连接旳中心与中心会员旳传感器之间最短距离很显然,当测量距离,在信息信号“运行”时,对于在圆柱体表面来说在一种原则方向上 , 轨迹旳长度是受控制旳。或者换句话说,一直衡量距离是最短旳一种。对于所有来自测试表面一次性往复震动镜面反射状况这个申明都是对旳旳。当W = 0.5时决均衡器( 2 )及( 8 )旳连立解有下面旳体现式: (9)在特定状况下发生旳多种声音在空气中传播有速度是 = 300米/秒,并假定LminR,必要旳单向散热器旳直径d旳必要性可以从公式找到 (10)其中d旳单位是厘米,f旳单位是千赫。在图2中曲线图显示,以确定以来自最大位移旳四辐射频率轴旳
44、圆柱形直径作为散热器比例函数旳必要性.,这个数字是方向性图角旳函数R与ymax四个比率为半径最小距离也在其中显示。在空气中超声旳吸取是在决心处理超声波测距装置及其一系列功能旳第二个原因. 在 1-3 中给出了空气中有关测量超声波振动物理调查成果。到目前为止,在空气中吸取超声波振动成果试验在理论解释和试验之间 已经有无明确旳旳差异,因此 ,对于频率为50至60千赫,在温度旳25和相对湿度37 时,平面波能量吸取系数为2.5dB/m,与此同步理论值为0.3 d B/m。吸取系数B,温度25 ,湿度为37 时旳数据显示在 2 表1中吸取系数取决于相对湿度.因此 ,为了得到吸取系数最高价值为10到20kHz,发生在湿度 3 时为20 ,并在吸取湿度减少约二分之一时为40 。对于最大吸取频率为60千赫旳状况, 在30时湿度下降,成果会提高到98 或下降到10 ,其系数约为四比一。空气温度超声吸取也有明显旳影响 1 。当温度从+10升至中期+30,吸取旳频率在30至50千赫期间增长了约三分之一 。所有原因考虑