一种高稳定度石英谐振式力传感器A High Stability Quartz Resonant Force Sensor
本发明涉及一种力测量装置,特别是一种采用压电石英谐振器作敏感元件的力传感器.The invention relates to a force measuring device, especially a force sensor using a piezoelectric quartz resonator as a sensitive element.
早在六、七十年代,科学工作者就将石英谐振器的力一频特性用于力、压力、加速度传感器的开发中。由于压力传感器和加速度传感器的使用场合(如油气测井,导弹制导)通常可以允许有较高的成本,因而它们得到了比较快的发展。这两类石英谐振式传感器都是将谐振器与周边结构做成一体,这样便大大消除了周边结构对谐振器力一频特性的影响,从而保证了传感器有比较高的精度。而力传感器的使用场合(如称重)往往要求传感器要价廉、可靠,同时又要求有较高的精度,还要有批量生产的可能,这无疑阻碍了其发展。为了满足力传感器的以上要求,目前已研制了一种低成本、组合式结构的石英谐振式传感器,如中国专利申请95104981.X(公开号CN1113006A)所公开的这种力传感器。但由于该传感器结构采用单膜片支撑晶体,传感器的稳定性较差,同时也限制了其精度和量程。另外,传感器构件之间的联接,如定位膜片与压块之间,晶体与压块和垫块之间的联接等,对传感器的稳定性影响很大,且容易造成晶体较大的蠕变,使传感器很容易受到破坏。美国专利US PatNo.3891870所公开的传感器,虽然,采用了双膜片结构,但由于其上膜片的厚度只有0.003英寸,非常薄,故只能起到密封的作用,依然存在支撑不稳定的问题.As early as the 1960s and 1970s, scientists used the force-frequency characteristics of quartz resonators in the development of force, pressure, and acceleration sensors. Because pressure sensors and acceleration sensors are used in occasions (such as oil and gas logging, missile guidance), they usually allow higher costs, so they have been developed relatively quickly. These two types of quartz resonant sensors integrate the resonator and the surrounding structure, which greatly eliminates the influence of the surrounding structure on the force-frequency characteristics of the resonator, thereby ensuring relatively high precision of the sensor. However, the use of force sensors (such as weighing) often requires the sensor to be cheap, reliable, and at the same time require high precision and the possibility of mass production, which undoubtedly hinders its development. In order to meet the above requirements of the force sensor, a low-cost, combined structure quartz resonant sensor has been developed, such as the force sensor disclosed in Chinese patent application 95104981.X (publication number CN1113006A). However, because the sensor structure uses a single diaphragm to support the crystal, the stability of the sensor is poor, and its accuracy and range are also limited. In addition, the connection between the sensor components, such as the connection between the positioning diaphragm and the pressure block, the connection between the crystal and the pressure block and the pad, etc., has a great influence on the stability of the sensor, and it is easy to cause a large creep of the crystal. , making the sensor vulnerable to damage. Although the disclosed sensor of U.S. Patent US PatNo.3891870 adopts a double-diaphragm structure, because the thickness of the diaphragm on it is only 0.003 inches, it is very thin, so it can only play the role of sealing, and there is still a problem of unstable support. question.
本发明的目的就是针对现有技术中的上述缺陷,提供一种蠕变小、稳定性好、精度高、量程大、寿命长的石英谐振式力传感器.The purpose of the present invention is to provide a quartz resonant force sensor with small creep, good stability, high precision, large measuring range and long service life for the above-mentioned defects in the prior art.
本发明所说的高稳定度石英谐振式力传感器,包括电极、上砧、石英谐振器、下砧和壳体,上砧的底部和下砧的上部分别开有宽度略大于谐振器厚度的凹槽,用于固定谐振器。谐振器由上砧和下砧支撑在传感器的壳体内,外力F通过上砧和下砧对谐振器产生对径压力。本发明的特征是:上砧的位置由膜片和上支撑板所组成的双膜片支撑结构限制,膜片与上支撑板之间用一柱体联接,构件与构件的联接均采用胶粘剂粘接。The high-stability quartz resonant force sensor of the present invention includes an electrode, an upper anvil, a quartz resonator, a lower anvil and a housing, and the bottom of the upper anvil and the upper part of the lower anvil are respectively provided with concave holes with a width slightly greater than the thickness of the resonator. Slots for securing the resonators. The resonator is supported in the housing of the sensor by the upper anvil and the lower anvil, and the external force F generates radial pressure on the resonator through the upper and lower anvils. The feature of the present invention is: the position of the upper anvil is limited by the double-diaphragm support structure composed of the diaphragm and the upper support plate, a cylinder is used to connect the diaphragm and the upper support plate, and the components are all connected by adhesives. catch.
本发明的上支撑板起支撑作用,其厚度大于0.15mm,为0.15~2mm,粘接构件所用的胶为玻璃化转变温度大于30℃的胶,且该温度越高越好。The upper supporting plate of the present invention plays a supporting role, and its thickness is greater than 0.15mm, and is 0.15-2mm. The glue used for bonding components is glue with a glass transition temperature greater than 30°C, and the higher the temperature, the better.
本发明由于采用了双膜片支撑结构和使用玻璃化转变温度较高的胶粘接构件之间需要联接的部位,使谐振器的支撑条件更趋完善,传感器的滞后和蠕变明显减小,在测力的过程中传感器的稳定度和精度大大提高,尤其是疲劳寿命大大延长。Because the present invention adopts the double-diaphragm support structure and uses glue with a higher glass transition temperature to bond parts that need to be connected, the support conditions of the resonator are more perfect, and the hysteresis and creep of the sensor are significantly reduced. In the process of force measurement, the stability and precision of the sensor are greatly improved, especially the fatigue life is greatly extended.
下面结合附图更进一步说明本发明。Further illustrate the present invention below in conjunction with accompanying drawing.
图1为本发明结构示意图。Fig. 1 is a schematic diagram of the structure of the present invention.
图2为图1的右视图。Fig. 2 is the right side view of Fig. 1 .
图3为本发明另一实施例结构示意图。Fig. 3 is a structural schematic diagram of another embodiment of the present invention.
图中1-电极,2-壳体,3-下砧,4-谐振器,5-上砧,6-膜片,7-联接柱,8-垫环,9-上支撑板,10-保护盖,11-钢球,12-调整环,13-螺钉。In the figure 1-electrode, 2-housing, 3-lower anvil, 4-resonator, 5-upper anvil, 6-diaphragm, 7-coupling column, 8-gasket ring, 9-upper support plate, 10-protection Cover, 11-steel ball, 12-adjusting ring, 13-screw.
实施例1:Example 1:
本实施例石英传感器的结构如图1所示。传感器4采用对称非完整态圆盘式结构,振动为厚度剪切模式,综合考虑获取尽量大的力灵敏度以及最佳的频率温度特性,谐振器采用AT切型,并将加力方向选择在ψ=0的方面上。谐振器4由上砧5和下砧3支撑在传感器的壳体2内,其电极引线与电极1的上端焊接在一起,并由电极1的两条腿引出壳体。上砧5的横向位置由膜片6和上支撑板9所组成的支撑结构限制,上支撑板厚度为0.18mm,膜片6厚约0.2mm,膜片6和上支撑板9中心用一柱体7连接,下砧3的位置由壳体底座限制。在上砧5的底部和下砧3的上部分别开有宽度略大于谐振器4厚度的凹槽,用于固定谐振器,使谐振器能够竖直地固定在传感器内。柱体7与支撑板9和膜片6之间,上砧5与膜片6之间,谐振器4与上砧5、下砧3之间,以及下砧3与底座之间,均采用H610这种粘结力强,蠕变小的应变胶粘贴,其玻璃化转变温度为30°。被测力F通过定心于上砧上部的锥形盲孔中的钢球11加在上砧5上并传给谐振器4。此外,在结构中,为了防止传感器承受意外的载荷,在上支撑板9上还加了保护盖10。表2是当膜片6和上支撑板9距离为1.5mm时,该传感器受横向脉动载荷疲劳实验各阶段性能数据.表1是厚度为0.18mm的单膜片在相同条件下试验的试验数据.表1中m01,m02,...m13和表2中n01,n02,...n13为传感器编号,a,b,...e分别为传感器受横向脉动载荷1kg/小时疲劳后的测试数据,f...i分别为传感器受横向脉动载荷4kg/小时疲劳后测试数据。由表可见,经同样疲劳后,双支撑结构传感器没有损坏,而单膜片传感器先后有5只损坏,损坏率达38%。The structure of the quartz sensor of this embodiment is shown in FIG. 1 . Sensor 4 adopts a symmetrical incomplete disc structure, and the vibration is in the thickness-shear mode. Considering the force sensitivity as large as possible and the best frequency-temperature characteristics, the resonator adopts the AT-cut type, and the force direction is selected at ψ = 0 aspect. The resonator 4 is supported in the housing 2 of the sensor by the upper anvil 5 and the lower anvil 3 , and its electrode leads are welded to the upper end of the electrode 1 , and are led out of the housing by two legs of the electrode 1 . The lateral position of the upper anvil 5 is limited by the support structure formed by the diaphragm 6 and the upper support plate 9. The thickness of the upper support plate is 0.18 mm, the thickness of the diaphragm 6 is about 0.2 mm, and a column is used in the center of the diaphragm 6 and the upper support plate 9. The body 7 is connected, and the position of the lower anvil 3 is limited by the housing base. The bottom of the upper anvil 5 and the upper part of the lower anvil 3 respectively have grooves with a width slightly larger than the thickness of the resonator 4 for fixing the resonator so that the resonator can be vertically fixed in the sensor. H610 is used between the cylinder 7 and the support plate 9 and the diaphragm 6, between the upper anvil 5 and the diaphragm 6, between the resonator 4 and the upper anvil 5, the lower anvil 3, and between the lower anvil 3 and the base. This strong bond, low creep strain adhesive has a glass transition temperature of 30°. The measured force F is applied to the upper anvil 5 and transmitted to the resonator 4 through the steel ball 11 centered in the tapered blind hole on the upper part of the upper anvil. In addition, in the structure, in order to prevent the sensor from bearing unexpected loads, a protective cover 10 is also added on the upper support plate 9 . Table 2 is the performance data of each stage of the fatigue test of the sensor subjected to transverse pulsating load when the distance between the diaphragm 6 and the upper support plate 9 is 1.5 mm. Table 1 is the test data of a single diaphragm with a thickness of 0.18 mm tested under the same conditions .m01, m02,...m13 in Table 1 and n01, n02,...n13 in Table 2 are the sensor numbers, a, b,...e are the tests after the sensor was fatigued by a transverse pulsating load of 1kg/hour The data, f...i are the test data after fatigue of the sensor subjected to a transverse pulsating load of 4kg/hour. It can be seen from the table that after the same fatigue, the double-support structure sensor was not damaged, while 5 single-diaphragm sensors were damaged successively, and the damage rate reached 38%.
实施例2Example 2
本实施例石英传感器的结构如图3所示。本实施例与实施例1的结构区别是膜片6和支撑板9与联接柱7做成一体,钢球11位于联接柱7的下端、上砧5的上面,膜片6与支撑板厚均为0.5mm,间距为5mm,谐振器4与上砧5和下砧3粘接用胶的玻璃化转变温度为90℃.表3是该传感器在加载5kg,131g,16kg时所测量的部分性能数据.由表可见,在加载由5kg增加到16kg时,传感器的误差没有增加,可见这种结构可将其量程范围扩大,且更加稳定。The structure of the quartz sensor of this embodiment is shown in FIG. 3 . The structural difference between this embodiment and Embodiment 1 is that the diaphragm 6 and the supporting plate 9 are integrated with the connecting column 7, the steel ball 11 is located at the lower end of the connecting column 7 and above the upper anvil 5, and the thickness of the diaphragm 6 and the supporting plate are uniform. The glass transition temperature of the glue used for bonding the resonator 4 to the upper anvil 5 and the lower anvil 3 is 90°C. Table 3 shows some of the properties measured by the sensor when it is loaded with 5kg, 131g, and 16kg. Data. It can be seen from the table that when the load is increased from 5kg to 16kg, the error of the sensor does not increase. It can be seen that this structure can expand its measuring range and be more stable.
表1
编号No
日期 灵敏度 线性度 滞后 重复性Date Sf X(Hz) Z(Hz) C(H2)
备注
m01am01bm01cm01dm01em01fm01gm01hm01i
96/12/12 351.6 1.1 0.5 2.096/12/13 350.6 0.6 1.0 0.096/12/14 350.2 0.8 0.0 0.096/12/16 348.9 0.4 1.0 1.096/12/17 349.9 0.4 0.5 1.096/12/18 350.3 0.6 1.0 1.096/12/20 350.4 0.5 1.0 0.096/12/21 349.6 0.6 1.0 0.096/12/22 349.9 0.5 1.5 2.0
m02am02bm02cm02dm02em02fm02gm02hm02i
96/12/12 346.5 0.2 0.5 1.096/12/13 346.2 0.3 0.5 1.096/12/14 345.8 0.4 1.0 1.096/12/16 344.5 0.2 0.5 1.096/12/17 345.5 0.6 0.5 1.096/12/18 345.8 0.1 0.5 1.096/12/20 346.8 0.2 0.5 1.096/12/21 346.0 1.0 1.0 096/12/22 346.3 0.3 0.5 1.0
m03am03bm03cm03dm03em03fm03gm03hm03i
96/12/12 347.6 0.8 1.0 2.096/12/13 346.5 0.6 0.5 1.096/12/14 346.2 0.3 0.0 0.096/12/16 345.1 0.2 0.5 1.096/12/17 347.6 1.0 0.5 1.096/12/18 347.9 1.1 0.5 1.096/12/20 348.6 0.8 0.5 1.096/12/21 348.1 0.8 1.0 1.096/12/22 347.8 1.2 0.5 2.0
续表1
m04am04bm04cm04dm04em04fm04gm04hm04i
96/12/12 349.5 0.7 1.5 2.096/12/13 349.3 0.4 1.0 1.096/12/14 349.5 0.5 1.0 1.096/12/16 348.2 0.6 1.0 1.096/12/17 349.0 0.3 1.0 1.096/12/18 349.3 0.5 1.0 1.096/12/20 349.2 0.4 1.0 0.096/12/21 349.2 0.5 2.0 1.096/12/22 350.1 0.6 1.5 3.0
m05am05bm05cm05dm05em05fm05gm05hm05i
96/12/12 350.7 1.5 2.0 2.096/12/13 350.5 1.2 4.0 0.096/12/14 349.5 1.3 3.0 1.096/12/16 348.1 1.5 3.0 2.896/12/17 348.9 1.6 3.0 1.096/12/18 349.2 1.3 3.0 1.096/12/20 350.3 0.8 2.0 0.096/12/21 349.2 0.5 2.0 1.096/12/22 349.1 0.7 1.5 2.0
m06am06bm06cm06dm06em06f*m06gm06hm06i
96/12/12 338.3 0.4 0.5 2.096/12/13 338.5 1.2 0.0 1.096/12/14 338.0 1.3 1.0 0.096/12/16 336.4 1.4 1.0 0.096/12/17 338.0 0.8 0.0 1.096/12/18 338.7 0.6 0.5 1.096/12/20 344.9 1.7 2.0 1.096/12/21 345.5 2.2 1.5 1.096/12/22 345.2 1.6 2.0 4.0 已损坏(疲劳8100次)
m07am07bm07cm07dm07em07fm07gm07hm07i
96/12/12 352.9 0.7 1.0 2.096/12/13 352.4 0.6 1.0 1.096/12/14 351.8 0.4 1.0 1.096/12/16 349.8 0.4 1.0 1.096/12/17 351.1 0.3 1.0 1.096/12/18 352.0 0.1 1.0 0.096/12/20 352.3 0.3 1.0 0.096/12/21 352.0 0.2 1.5 1.096/12/22 351.3 0.3 1.0 0.0
续表1
m08am08bm08cm08d*m08em08fm08gm08hm08i
96/12/12 347.7 0.5 1.5 2.896/12/13 347.7 0.4 0.5 1.096/12/14 347.4 0.8 0.5 1.096/12/16 345.4 1.0 0.5 1.096/12/17 353.3 2.1 0.5 2.096/12/18 353.5 1.6 2.0 2.096/12/20 354.7 2.4 1.5 1.096/12/21 354.1 3.4 3.5 8.096/12/22 354.5 5.5 4.0 2.4 已损坏(疲劳4860次)
m09am09bm09cm09d*m09em09fm09gm09hm09i
96/12/12 358.5 0.9 1.0 2.096/12/13 356.9 1.4 0.0 1.096/12/14 356.6 1.3 0.5 1.096/12/16 354.6 1.5 0.5 1.096/12/17 358.4 2.6 0.5 1.096/12/18 359.1 3.1 0.5 2.096/12/20 360.2 2.5 2.0 5.096/12/21 362.8 3.8 2.0 1.096/12/22 363.1 2.5 2.5 1.0 已损坏(疲劳4860次)
m10am10bm10cm10dm10e*m10fm10gm10hm10i
96/12/12 353.0 0.9 1.5 4.096/12/13 352.2 0.6 1.5 1.096/12/14 349.9 1.3 3.0 1.096/12/16 348.6 1.1 2.0 0.096/12/17 350.3 0.9 2.0 1.096/12/18 353.8 3.2 2.0 2.096/12/20 354.9 2.1 3.0 1.096/12/21 355.1 2.0 3.5 2.096/12/22 356.7 3.6 6.0 2.8 已损坏(疲劳6480次)
m11am11bm11cm11dm11em11fm11gm11hm11i
96/12/12 348.6 1.8 1.0 2.096/12/13 348.9 0.9 1.0 1.096/12/14 349.5 2.0 2.0 2.096/12/16 347.3 1.0 1.0 1.096/12/17 348.8 0.9 2.0 1.096/12/18 350.2 0.4 1.0 0.096/12/20 350.2 0.7 1.0 1.096/12/21 349.5 0.9 0.5 1.096/12/22 349.2 1.2 1.5 4.0
续表1
m12am12bm12cm12dm12em12fm12gm12hm12i
96/12/12 347.8 0.8 1.5 2.096/12/13 348.5 0.8 1.0 2.896/12/14 348.1 0.6 0.5 2.096/12/16 345.8 0.4 1.0 1.096/12/17 346.9 0.5 0.2 1.096/12/18 347.2 0.3 1.0 1.096/12/20 347.4 1.1 0.5 1.096/12/21 346.1 0.9 0.5 2.096/12/22 346.5 0.1 0.5 1.0
m13am13bm13cm13dm13em13f*m13gm13hm13i
96/12/12 354.1 0.8 1.5 1.096/12/13 353.9 1.0 2.5 1.096/12/14 353.4 0.5 2.0 0.096/12/16 351.3 1.0 2.0 0.096/12/17 353.6 0.6 1.5 2.096/12/18 354.8 0.9 2.0 1.096/12/20 356.7 0.6 1.5 1.096/12/21 357.3 1.0 1.0 1.096/12/22 357.1 1.8 1.0 3.0 已损坏(疲劳8100次)
表2
编号No
日 期 灵敏度 线性度 滞后 重复性Date Sf X(Hz) Z(Hz) C(H2)
备注
n01n01an01bn01cn01dn01en01fn01gn01hn01i
96/12/06 354.4 1.5 2.0 2.096/12/08 327.7 1.2 1.0 2.096/12/12 327.8 1.4 1.5 2.096/12/14 327.6 0.4 0.0 0.096/12/16 326.6 0.4 0.0 0.096/12/17 327.2 0.5 0.5 1.096/12/19 326.9 0.2 0.5 1.096/12/20 327.6 0.5 0.5 1.096/12/24 326.9 0.9 0.5 1.096/12/25 327.7 0.3 1.0 1.0
n02n02an02bn02cn02dn02en02fn02gn02hn02i
96/12/06 347.7 0.9 1.5 1.096/12/08 333.4 1.1 1.0 1.096/12/12 333.6 0.7 0.5 1.096/12/14 333.2 1.0 0.5 1.096/12/16 331.7 0.7 0.5 1.096/12/17 332.5 0.5 0.5 1.096/12/19 332.5 0.8 1.0 1.096/12/20 333.1 0.2 0.5 1.096/12/24 332.6 0.9 0.5 1.096/12/25 333.4 0.4 0.5 1.0
n03n03an03bn03cn03dn03en03fn03gn03hn03i
96/12/06 352.2 1.5 3.0 2.096/12/08 343.6 1.1 2.5 1.096/12/12 343.8 0.5 1.0 1.096/12/14 343.5 0.2 1.0 1.096/12/16 342.0 0.0 0.0 0.096/12/17 342.8 0.3 0.5 1.096/12/19 343.1 0.6 0.5 1.096/12/20 344.4 0.6 1.0 1.096/12/24 343.0 0.4 0.5 1.096/12/25 343.4 0.2 0.0 0.0
续表2
n04n04an04bn04cn04dn04en04fn04gn04hn04i
96/12/06 351.6 2.4 4.5 4.096/12/08 329.7 0.9 1.5 1.096/12/12 329.8 0.2 0.5 1.096/12/14 329.4 0.4 1.0 0.096/12/16 328.0 0.0 0.0 0.096/12/17 328.7 1.2 0.0 1.096/12/19 329.2 0.3 0.5 1.096/12/20 330.4 1.0 1.5 2.096/12/24 329.4 0.3 0.5 1.096/12/25 329.6 0.3 0.5 1.0
n05n05an05bn05cn05dn05en05fn05gn05hn05i
96/12/06 352.0 1.4 3.5 3.096/12/08 341.5 0.9 2.0 2.096/12/12 341.2 0.4 1.0 0.096/12/14 341.2 0.5 1.5 1.096/12/16 339.6 0.3 1.0 1.096/12/17 340.3 0.6 1.0 1.096/12/19 341.8 0.5 1.0 1.096/12/20 341.9 0.5 1.5 1.096/12/24 340.5 0.6 1.0 1.096/12/25 340.8 0.3 1.0 1.0
n06n06an06bn06cn06dn06en06fn06gn06hn06i
96/12/06 347.1 1.4 3.5 3.096/12/08 340.9 0.9 2.0 2.096/12/12 340.7 0.4 1.0 0.096/12/14 341.0 0.5 1.5 1.096/12/16 339.0 0.3 1.0 1.096/12/17 339.9 0.6 1.0 1.096/12/19 340.3 0.5 1.0 1.096/12/20 341.9 0.5 1.5 1.096/12/24 340.2 0.6 1.0 1.096/12/25
n07n07an07bn07cn07dn07en07fn07gn07hn07i
96/12/06 343.5 1.1 1.5 2.096/12/08 333.1 0.9 1.0 1.096/12/12 333.2 0.3 0.0 0.096/12/14 333.4 0.4 0.5 1.096/12/16 331.6 0.4 0.0 0.096/12/17 332.8 0.2 0.0 1.096/12/19 333.1 0.5 0.5 1.096/12/20 332.9 0.7 0.5 1.096/12/24 332.8 0.8 0.5 1.096/12/25 332.3 0.2 0.5 1.0
续表2
n08n08an08bn08cn08dn08en08fn08gn08hn08i
96/12/06 349.4 2.3 4.5 2.896/12/08 339.1 1.2 2.0 0.096/12/12 338.8 1.9 1.0 0.096/12/14 338.9 0.6 1.0 1.096/12/16 337.1 0.7 1.0 1.096/12/17 337.9 1.1 1.0 0.096/12/19 338.7 0.8 1.0 1.096/12/20 338.5 0.4 1.0 1.096/12/24 337.9 0.8 2.0 1.096/12/25 337.6 1.1 1.5 1.0
n09n09an09bn09cn09dn09en09fn09gn09hn09i
96/12/06 345.8 2.1 2.5 1.096/12/08 320.9 1.3 1.0 1.096/12/12 321.1 0.9 0.5 1.096/12/14 321.0 1.2 0.2 1.096/12/16 319.0 0.5 0.5 1.096/12/17 319.7 1.5 1.0 1.096/12/19 320.4 1.3 0.0 0.096/12/20 320.2 1.8 1.0 1.096/12/24 320.0 1.1 0.5 1.096/12/25 319.6 0.7 0.5 1.0
n10n10an10bn10cn10dn10en10fn10gn10hn10i
96/12/06 338.2 0.9 1.5 2.096/12/08 320.6 0.6 1.0 1.096/12/12 321.2 0.6 1.0 1.096/12/14 320.8 0.7 1.0 1.096/12/16 319.4 0.2 0.2 1.096/12/17 319.3 0.1 1.0 1.096/12/19 320.2 0.2 0.5 1.096/12/20 320.3 0.2 0.0 1.096/12/24 320.4 0.5 0.5 1.096/12/25 319.1 0.3 0.5 1.0
n11n11an11bn11cn11dn11en11fn11gn11hn11i
96/12/06 349.4 0.9 1.0 2.096/12/08 321.9 1.1 1.0 0.096/12/12 321.1 0.9 0.5 1.096/12/14 322.1 0.8 0.5 1.096/12/16 320.4 1.0 0.5 1.096/12/17 320.8 0.8 0.5 1.096/12/19 321.6 0.6 0.5 1.096/12/20 321.4 0.9 1.0 1.096/12/24 321.3 1.0 0.5 1.096/12/25 321.0 1.2 2.0 1.0
续表2
n12n12an12bn12cn12dn12en12fn12gn12hn12i
96/12/06 351.9 2.0 3.5 2.096/12/08 328.4 1.1 2.0 2.096/12/12 328.8 2.3 1.5 1.096/12/14 328.2 0.6 1.5 1.096/12/16 326.5 1.3 1.0 1.096/12/17 326.8 0.9 0.5 1.096/12/19 327.6 0.5 0.5 1.096/12/20 327.4 0.5 0.5 2.896/12/24 327.5 0.8 0.5 1.096/12/25 326.2 0.5 1.0 1.0
n13n13an13bn13cn13dn13en13fn13gn13hn13i
96/12/06 343.4 1.9 0.5 1.096/12/08 330.6 2.3 0.0 1.096/12/12 331.1 2.4 0.0 1.096/12/14 331.9 2.1 0.0 0.096/12/16 329.3 2.5 0.5 1.096/12/17 330.5 2.2 1.0 0.096/12/19 331.4 2.4 0.5 1.096/12/20 331.5 2.4 0.5 1.096/12/24 331.7 2.1 0.0 0.096/12/25 330.9 2.3 0.5 1.0
表3 Table 1 No. No. Date Sensitivity Linearity Hysteresis Repeatability Date Sf X(H z ) Z(H z ) C(H 2 ) Remark
m01am01bm01cm01dm01em01fm01gm01hm01i 96/12/12 351.6 1.1 0.5 2.096/12/13 350.6 0.6 1.0 0.096/12/14 350.2 0.8 0.0 0.096/12/16 348.9 0.4 1.0 1.096/12/17 349.9 0.4 0.5 1.096/12/18 350.3 0.6 1.0 1.096/ 12/20 350.4 0.5 1.0 0.096/12/21 349.6 0.6 1.0 0.096/12/22 349.9 0.5 1.5 2.0
m02am02bm02cm02dm02em02fm02gm02hm02i 96/12/12 346.5 0.5 1.096/12/13 346.2 0.3 0.5 1.096/12/14 345.8 0.0 1.096/12/16 344.5 0.2 0.5 1.096/12/17 345.5 0.5 1.096/12/18 345.8 0.1 0.5 1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/ 12/20 346.8 0.2 0.5 1.096/12/21 346.0 1.0 1.0 096/12/22 346.3 0.3 0.5 1.0
m03am03bm03cm03dm03em03fm03gm03hm03i 96/12/12 347.6 0.8 1.0 2.096/12/13 346.5 0.6 0.5 1.096/12/14 346.2 0.0 0.096/12/16 345.1 0.2 0.5 1.096/12/17 347.6 1.096/12/18 347.9 1.1 0.5 1.096// 12/20 348.6 0.8 0.5 1.096/12/21 348.1 0.8 1.0 1.096/12/22 347.8 1.2 0.5 2.0
Continued Table 1 m04am04bm04cm04dm04em04fm04gm04hm04i 96/12/12 349.5 0.7 1.5 2.096/12/13 349.3 0.4 1.096/12/14 349.5 0.5 1.0 1.096/12/16 348.2 0.6 1.096/12/17 349.0 0.3 1.096/12/18 349.3 0.5 1.096/1.096// 12/20 349.2 0.4 1.0 0.096/12/21 349.2 0.5 2.0 1.096/12/22 350.1 0.6 1.5 3.0
m05am05bm05cm05dm05em05fm05gm05hm05i 96/12/12 350.7 1.5 2.0 2.096/12/13 350.5 1.2 4.0 0.096/12/14 349.5 1.3 3.0 1.096/12/16 348.1 1.5 3.0 2.896/12/17 348.9 1.6 3.096/12/18 349.2 1.3 3.096 /096/096/096/096/096/10 1.096/096/096/096/096/096/096/096/096/096/10 1.096/10 1.096/10 12/20 350.3 0.8 2.0 0.096/12/21 349.2 0.5 2.0 1.096/12/22 349.1 0.7 1.5 2.0
m06am06bm06cm06dm06em06f * m06gm06hm06i 96/12/12 338.3 0.5 0.5 2.096/12/13 338.5 1.2 0.0 1.096/12/14 338.0 1.3 1.0 0.096/12/16 336.4 1.4 1.0 0.096/12/17 338.0 0.096/12/18 338.7 0.6 0.5 1.096//1.096/1.096/1.096/1.096/ 12/20 344.9 1.7 2.0 1.096/12/21 345.5 2.2 1.5 1.096/12/22 345.2 1.6 2.0 4.0 Broken (8100 times of fatigue)
m07am07bm07cm07dm07em07fm07gm07hm07i 96/12/12 352.9 0.7 1.0 2.096/12/13 352.4 0.6 1.0 1.096/12/14 351.8 0.8 1.0 1.096/12/16 349.8 0.4 1.096/12/17 351.1 0.0 1.096/12/18 352.0 0.096//18 352.0 0.096// 12/20 352.3 0.3 1.0 0.096/12/21 352.0 0.2 1.5 1.096/12/22 351.3 0.3 1.0 0.0
Continued Table 1 m08am08bm08cm08d * m08em08fm08gm08hm08i 96/12/12 347.7 0.5 1.5 2.896/12/13 347.7 0.4 0.5 1.096/12/14 347.4 0.8 0.5 1.096/12/16 345.4 1.0 0.5 1.096/12/17 353.3 2.1 0.5 2.096/12/18 353.5 1.6 2.096/096/096/096/2.096/096/096/2.096/096/096/2.096/096/2.096/096/2.096/2.096/096/2.096/096/2.096/2.096/096/2.096/096/2.096/096/1.6 12/20 354.7 2.4 1.5 1.096/12/21 354.1 3.4 3.5 8.096/12/22 354.5 5.5 4.0 2.4 Broken (4860 times of fatigue)
m09am09bm09cm09d * m09em09fm09gm09hm09i 96/12/12 358.5 0.9 1.0 2.096/12/13 356.9 1.4 0.096/12/14 356.6 1.3 0.5 1.096/12/16 354.6 1.5 1.5 1.096/12/17 358.4 2.6 096/12/18 359.1 3.1 0.5 2.096/0.5 2.096/0.5 2.096/0.5 2.096/0.5 2.096/0.5 2.096/0.5 2.096/0.5 2.096/0.5 2.096/0.5 2.096/0.5 2.096/0.5 2.096/0.5 2.096/0.5 12/20 360.2 2.5 2.0 5.096/12/21 362.8 3.8 2.0 1.096/12/22 363.1 2.5 2.5 1.0 Broken (4860 times of fatigue)
m10am10bm10cm10dm10e * m10fm10gm10hm10i 96/12/12 353.0 0.9 1.5 4.096/12/13 352.2 0.6 1.5 1.096/12/14 349.9 1.3 3.0 1.096/12/16 348.6 1.1 2.0 0.096/12/17 350.3 0.9 2.096/12/18 353.8 3.2 2.096/096/096/096/096 12/20 354.9 2.1 3.0 1.096/12/21 355.1 2.0 3.5 2.096/12/22 356.7 3.6 6.0 2.8 Broken (fatigue 6480 times)
m11am11bm11cm11dm11em11fm11gm11hm11i 96/12/12 348.6 1.8 1.0 2.096/12/13 348.9 0.9 1.0 1.096/12/14 349.5 2.0 2.0 2.096/12/16 347.3 1.0 1.096/12/17 348.8 0.9 2.0 1.096/12/18 350.2 0.096/1.096//18 350.2 0.096/ 12/20 350.2 0.7 1.0 1.096/12/21 349.5 0.9 0.5 1.096/12/22 349.2 1.2 1.5 4.0
Continued Table 1 m12am12bm12cm12dm12em12fm12gm12hm12i 96/12/12 347.8 0.8 1.5 2.096/12/13 348.5 0.8 1.0 2.896/12/14 348.1 0.6 0.6 0.5 2.096/12/16 345.8 0.4 1.096/12/17 346.9 0.2 1.096/12/18 347.2 0.3 1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/12 12/20 347.4 1.1 0.5 1.096/12/21 346.1 0.9 0.5 2.096/12/22 346.5 0.1 0.5 1.0
m13am13bm13cm13dm13em13f * m13gm13hm13i 96/12/12 354.1 0.8 1.5 1.096/12/13 353.9 1.0 2.5 1.096/12/14 353.4 0.5 2.0 0.096/12/16 351.3 1.0 0.096/12/17 353.6 0.6 1.5 2.096/12/18 354.8 0.9 2.0 1.096/096/096/1.096/096/096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/12 12/20 356.7 0.6 1.5 1.096/12/21 357.3 1.0 1.0 1.096/12/22 357.1 1.8 1.0 3.0 Broken (8100 times of fatigue)
Table 2 No. No. Date Sensitivity Linearity Hysteresis Repeatability Date Sf X(Hz) Z(Hz) C(H 2 ) Remark
n01n01an01bn01cn01dn01en01fn01gn01hn01i 96/12/06 354.4 1.5 2.0 2.096/12/08 327.7 1.2 1.0 2.096/12/12 327.8 1.4 1.5 2.096/12/14 327.6 0.4 0.0 0.096/12/16 326.6 0.4 0.0 0.096/12/17 327.2 0.5 0.5 1.096/ 12/19 326.9 0.2 0.5 1.096/12/20 327.6 0.5 0.5 1.096/12/24 326.9 0.9 0.5 1.096/12/25 327.7 0.3 1.0 1.0
n02n02an02bn02cn02dn02en02fn02gn02hn02i 96/12/06 347.7 0.9 1.5 1.096/12/08 333.4 1.1 1.096/12/12 333.6 0.7 0.7 1.096/12/14 333.2 1.0 0.5 1.096/12/16 331.7 0.7 0.5 1.096/12/17 332.5 0.5 1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1 12/19 332.5 0.8 1.0 1.096/12/20 333.1 0.2 0.5 1.096/12/24 332.6 0.9 0.5 1.096/12/25 333.4 0.4 0.5 1.0
n03n03an03bn03cn03dn03en03fn03gn03hn03i 96/12/06 352.2 1.5 3.0 2.096/12/08 343.6 1.1 2.5 1.096/12/12 343.8 0.5 1.0 1.096/12/14 343.5 0.2 1.096/12/16 342.0 0.0 0.096/12/17 342.8 0.3 0.5 1.096//1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1s. 12/19 343.1 0.6 0.5 1.096/12/20 344.4 0.6 1.0 1.096/12/24 343.0 0.4 0.5 1.096/12/25 343.4 0.2 0.0 0.0
Continued Table 2 n04n04an04bn04cn04dn04en04fn04gn04hn04i 96/12/06 351.6 2.4 4.5 4.096/12/08 329.7 0.9 1.5 1.096/12/12 329.8 0.2 0.5 1.096/12/14 329.4 0.4 1.0 0.096/12/16 328.0 0.0 0.0 0.096/12/17 328.7 1.2 0.0 1.096/ 12/19 329.2 0.3 0.5 1.096/12/20 330.4 1.0 1.5 2.096/12/24 329.4 0.3 0.5 1.096/12/25 329.6 0.3 0.5 1.0
n05n05an05bn05cn05dn05en05fn05gn05hn05i 96/12/06 352.0 1.4 3.5 3.096/12/08 341.5 0.9 2.0 2.096/12/12 341.2 0.4 1.0 0.096/12/14 341.2 0.5 1.5 1.096/12/16 339.6 0.3 1.0 1.096/12/17 340.3 0.6 1.0 1.096/ 12/19 341.8 0.5 1.0 1.096/12/20 341.9 0.5 1.5 1.096/12/24 340.5 0.6 1.0 1.096/12/25 340.8 0.3 1.0 1.0
n06n06an06bn06cn06dn06en06fn06gn06hn06i 96/12/06 347.1 1.4 3.5 3.096/12/08 340.9 0.9 2.0 2.096/12/12 340.7 0.4 1.0 0.096/12/14 341.0 0.5 1.5 1.096/12/16 339.0 0.3 1.0 1.096/12/17 339.9 0.6 1.0 1.096/ 12/19 340.3 0.5 1.0 1.096/12/20 341.9 0.5 1.5 1.096/12/24 340.2 0.6 1.0 1.096/12/25
n07n07an07bn07cn07dn07en07fn07gn07hn07i 96/12/06 343.5 1.1 1.5 2.096/12/08 333.1 0.9 1.0 1.096/12/12 333.2 0.3 0.0 0.096/12/14 333.4 0.4 0.5 1.096/12/16 331.6 0.4 0.0 0.096/12/17 332.8 0.2 0.0 1.096/ 12/19 333.1 0.5 0.5 1.096/12/20 332.9 0.7 0.5 1.096/12/24 332.8 0.8 0.5 1.096/12/25 332.3 0.2 0.5 1.0
Continued Table 2 n08n08an08bn08cn08dn08en08fn08gn08hn08i 96/12/06 349.4 2.3 4.5 2.896/12/08 339.1 1.2 2.0 0.096/12/12 338.8 1.9 1.0 0.096/12/14 338.9 0.6 1.096/12/16 337.1 0.7 1.096/12/17 337.9 1.1 1.096// 12/19 338.7 0.8 1.0 1.096/12/20 338.5 0.4 1.0 1.096/12/24 337.9 0.8 2.0 1.096/12/25 337.6 1.1 1.5 1.0
n09n09an09bn09cn09dn09en09fn09gn09hn09i 96/12/06 345.8 2.1 2.5 1.096/12/08 320.9 1.3 1.0 1.096/12/12 321.1 0.9 0.5 1.096/12/14 321.0 1.2 0.2 1.096/12/16 319.0 0.5 1.096/12/17 319.7 1.5 1.096//1.096/1.096//17 12/19 320.4 1.3 0.0 0.096/12/20 320.2 1.8 1.0 1.096/12/24 320.0 1.1 0.5 1.096/12/25 319.6 0.7 0.5 1.0
n10n10an10bn10cn10dn10en10fn10gn10hn10i 96/12/06 338.2 0.9 1.5 2.096/12/08 320.6 0.6 0.0 1.096/12/12 321.2 0.0 1.096/12/14 320.8 0.7 1.096/12/16 319.4 0.2 1.096/12/17 319.3 0.0 1.096//1.096/096/ 12/19 320.2 0.2 0.5 1.096/12/20 320.3 0.2 0.0 1.096/12/24 320.4 0.5 0.5 1.096/12/25 319.1 0.3 0.5 1.0
n11n11an11bn11cn11dn11en11fn11gn11hn11i 96/12/06 349.4 0.9 1.0 2.096/12/08 321.9 1.1 1.0 0.096/12/12 321.1 0.9 0.5 1.096/12/14 322.1 0.8 0.5 1.096/12/16 320.4 1.096/12/17 320.8 0.8 0.5 1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1 12/19 321.6 0.6 0.5 1.096/12/20 321.4 0.9 1.0 1.096/12/24 321.3 1.0 0.5 1.096/12/25 321.0 1.2 2.0 1.0
Continued Table 2 n12n12an12bn12cn12dn12en12fn12gn12hn12i 96/12/06 351.9 2.0 3.5 2.096/12/08 328.4 1.1 2.0 2.096/12/12 328.8 2.3 1.5 1.096/12/14 328.2 0.6 1.5 1.096/12/16 326.5 1.3 1.096/12/17 326.8 0.9 0.5 1.096//1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1.096/1 12/19 327.6 0.5 0.5 1.096/12/20 327.4 0.5 0.5 2.896/12/24 327.5 0.8 0.5 1.096/12/25 326.2 0.5 1.0 1.0
n13n13an13bn13cn13dn13en13fn13gn13hn13i 96/12/06 343.4 1.9 0.5 1.096/12/08 330.6 2.3 0.096/12/12 331.1 2.4 0.096/12/14 331.9 2.1 0.096/12/16 329.3 2.5 1.096/12/17 330.5 2.2 1.096// 12/19 331.4 2.4 0.5 1.096/12/20 331.5 2.4 0.5 1.096/12/24 331.7 2.1 0.0 0.096/12/25 330.9 2.3 0.5 1.0
table 3