![]() Method and device for determining the density of a fluid
专利摘要:
The invention relates to a method for determining the density of a fluid medium with a bending oscillator, the oscillator tube of which is flowed through by the measuring fluid. According to the invention, it is provided to use the period of the oscillation of the free and damped oscillating oscillator tube for density determination. For this purpose, the excitation of the exciter amplifier is alternately interrupted by means of a switch and switched back into the resonant circuit. The period of the damped oscillation is used together with its amplitude and or phase position for the output of a viscosity-corrected density. 公开号:AT516420A1 申请号:T777/2014 申请日:2014-10-20 公开日:2016-05-15 发明作者:Andreas Rechberger;Robert Amsüss 申请人:Anton Paar Gmbh; IPC主号:
专利说明:
The invention relates to a method for determining the density of the period of a bending vibrator determined from the period of a resonant vibration mode, wherein the period is determined from a freely oscillating, damped oscillator and is periodically changed between zwügener unattenuated oscillation and free decreasing amplitude of the oscillation. The arrangement for carrying out the method comprises, in addition to the exciter circuit and means for the frequency and amplitude measurement, a periodically switching interrupter, which interrupts the exciter circuit for the measurement. The measurement of the density of fluid media with a flexural vibrator is based on the fact that the vibration of a hollow body filled with a sample to be examined depends on the filling of the vibrator tube, i. of the mass or, if the volume is constant, of the density of the filled medium. A measuring cell contains the oscillatory structure, namely a hollow, U-shaped bent, glass or metallic tubular body. This is excited electronically to a vibration. The two legs of the U-shaped tube form the spring elements of the vibrator. The natural frequency of the U-shaped oscillator tube is only from that part of the Probe influences which actually participates in the vibration. This participating in the oscillation volume V is limited by the resting vibration nodes at the clamping points of the vibrator tube. If the oscillator tube is filled with the sample at least up to these clamping points, the same, precisely defined volume V always participates in the oscillation and the mass of the sample can therefore be assumed to be proportional to its density. Overfilling of the vibrator beyond the clamping points is irrelevant to the measurement. For this reason, the oscillator can also be used to measure densities of fluids that flow through the oscillator. The density of the Fuids thus determines the specific frequencies in which the U-shaped tube oscillates. If one uses precision glass tubes or metal tubes, their properties vary depending on the density and viscosity of the liquid. The resonance frequencies are evaluated by suitable excitation and reduction of the vibrations and the density of the filled fluid sample is determined from the period duration. The oscillator is adjusted with fluids of known density and so the measurements evaluable. For the period P and density p is generally: Such density oscillators or bending oscillators have been known for a long time and are produced in various embodiments with regard to excitation and reduction of the oscillation. The different means for excitation and decrease of the resulting natural oscillations can e.g. by means of magnetic coils and magnets, piezoelectric elements, capacitive sensing, etc. In this case, these means are preferably attached to the vibrator so that they do not lie in the nodes of the examined natural vibration. In order to achieve results of high accuracy for these measurements, the oscillator must be designed in such a way that it experiences as little damping as possible or has high quality. The high quality of the oscillator results in a narrow bandwidth of resonance frequencies. Thus, it is impractical to excite the natural frequencies with undirected excitation (e.g., noise) or single pulses. The excitation takes place with periodic signals, for example rectangular pulses or sinusoidal waves. This can be done via a normal control loop or via a phase-shifted feedback. In a control loop, with the acceptance signal e.g. regulated to the maximum amplitude and thus to the natural vibration of the bending oscillator. The oscillator is thus excited to a forced oscillation in its resonant frequency and from the determination of the period of this oscillation, the density of the medium filled in the oscillator is determined. Through a feedback loop, the output signal of the vibration pickup is phase-shifted by 90 degrees on the mechanical system, amplified, and the periodic signal used to excite the vibrator. Thus, the bending-sway vibrates in a forced vibration. Fig. 1 shows a schematic diagram of such exciter amplifier: The bending oscillator (1) is clamped in a holding means (2). The excitation takes place here for example by means of piezoelectric element (3) in the vicinity of the clamping point of the first leg of the vibrator, the decrease takes place with a second piezoelectric element (4) on the second leg of the vibrator. Phasendreher (6) and amplifier (7) in combination form the simplest exciter amplifier. The output of the pickup is amplified and rotated by 90 ° phase and fed to the means for vibration excitation. With such an exciting amplifier, the vibrator can be "swung up" to a state of resonance vibration. become. The period or frequency of the oscillation is measured with the frequency meter (5) and fed to an evaluation unit for density determination. Known flexural vibrators are operated according to this principle with analog and digital excitation amplifiers and from the frequency or period of the oscillator, the density of the fluid to be examined is determined in a known manner. The actual density of fluid media is highly dependent on the temperature (this is usually at least measured and / or the entire oscillator or the sample is tempered to a certain measurement temperature by suitable means (eg Peltier elements) Determining the density with the bending vibrator, The viscosity of the sample has a relatively large influence on the measurement result due to the different behavior of samples of the same density of different viscosities in the oscillator.The viscosity is expressed not only by its influence on the determined density but above all by its influence on the Damping or quality of the vibrator. Various methods for correcting the viscosity-dependent density value are known, which evaluate a parameter representative of this damping and correct the density measurement. This is usually done based on additionally excited vibrations in the range of so-called harmonics by considering the phase relationship to the excitation. Alternatively known, for example, is the use of a superimposed control loop which varies the amplitude of the excitation signal in order to obtain a constant oscillation amplitude. The energy introduced via the starting signal thus corresponds to the damping of the system and can be used to determine the quality. The quality measurement can also be done here by measuring the decaying amplitude with periodic decoupling of the pathogen, this is theoretically the optimal solution for determining the quality. This will be any Inaccuracies of the excitation (e.g., non-linearities and / or phase distortions of filters, etc.) are avoided. With the high grades of the oscillators used, however, they have the disadvantage of long measurement times, always represent only a single measurement and also influence the period of the forced oscillation. Therefore, no interruptions of the oscillator are preferably carried out after the settling. In all these known arrangements, the period of the forced fundamental is usually used for the evaluation of the density measurement. The disadvantages of such arrangements are, for example, in the amplitude modulation that the resonance frequency is not accurately measured, as well as nonlinear distortions (electronics, IIR filter) as well as time delays (time quantization) of the ADC (analog-to-digital converter) and / or DAC ( Digital-to-analog converter) - signal play a role. In addition, the high quality and thus the resulting low bandwidth of the vibrator require very small modulation frequencies on the order of 1/1000 ... 1/2000 of the natural frequency. For example, for resonant frequencies in the range of 300 Hz (glass oscillator) to 5000 Hz (metal), and quality values of 10 ... 5'000 (glass) and 10 ... 14'000 (metal), the modulation frequency is in the range of 1/3 ... used 1/10 Hz. This results in the period cycle 3 ... 10 sec. The lower the modulation frequency, the longer the decay measurement of the quality, since in general a new measured value is available once per period of the modulation frequency. So depending on the medium every 3 to 10 sec. In addition, depending on the required accuracy, an additional averaging is necessary. According to the invention, it is now proposed to combine the advantages of determining the duration of the period by means of forced oscillation (continuous measuring method, parallel phase control) and the advantages of the measurement of the decay behavior independent of the excitation for the measurement of the quality and of measuring the quality as well as the period of the oscillator directly with a continuous decay measurement and evaluate the viscosity corrected density. Due to the periodic measurement of the decay behavior, there is no longer the disadvantage of a single measurement. Since the entire determination of the density and viscosity correction takes place from the decay behavior, the influencing of the period or phase measurement from the renewed high oscillation of the excitation amplifier circuit is no longer a problem. Also, higher accuracies can be achieved here with lower grades of the vibrator. FIG. 2 shows a block diagram of the invention: the excitation (13) resonates the oscillator (11). This can be done via a normal loop or via a phase-shifted feedback. (e.g., -90 ° resonance condition of the vibrator). This allows the realization of a quasi " controllerless " Exciter, since the -90 ° phase rotation is a pure signal transformation - in contrast to a controlled oscillator which regulates based on a phase comparison (output / input) to the -90 ° point. The period or frequency of the oscillation is measured with the frequency meter (15) and fed to an evaluation unit for density determination. According to the invention, it is now proposed that both the period duration and the amplitude of the forced resonant oscillation be determined only after the decoupling of the exciter, it is only the decaying vibration of the bending oscillator is examined. The excitation thus has no influence on the measurement itself - and also requires no information about the current measurement cycle. The switch (19) periodically interrupts the excitation of the oscillator, the excitation circuit is interrupted for a period of time tl via this switch and examines the decay behavior of the vibrator. Thereafter, the switch is closed again and the exciter circuit forces the vibrating in its muted free resonance oscillator back into a forced undamped oscillation. Preferably, the exciter circuit is closed until the forced resonant oscillation of the oscillator oscillates in maximum amplitude. Fig. 3 shows such a decay of the vibrator. After decoupling the exciter circuit at time t, the amplitude of the oscillation will decay faster or slower over time, depending on the quality of the oscillator. The actual resonant frequency or period PO here is slightly different from that of the forced oscillation (period PI), since the nonlinearities and time errors of the exciter circuit are omitted here and the free oscillator oscillates in its resonant frequency. The picture shows for clarification a strongly oversubscribed difference of the period lengths. Fig. 4 shows the image of the periodic switching on and off of the exciter (switch in position SO oscillator oscillates in the resonance high) with the corresponding signals for the amplitude A as a function of time. The amplitude increases with the transient process. The amplitude curve during excitation follows one Function of the type At time tl, the switch is opened (switch in position Sl), the oscillator oscillates here damped, the amplitude shows the decay behavior and in this period, the oscillation with respect to frequency and amplitude is evaluated. At time t2, the switch is closed again, the oscillator swings up again and the forced oscillation is excited again. This process is repeated periodically (t3, t4, ...) The control of this period can take place, for example, in each case via the amplitude signal of the oscillation, the attainment of a specific amplitude value can be used both in oscillation and in decay, and the period for switching switch 19 can be used therefrom. Alternatively, a not strictly periodic switching on and off of the exciter gain can be made directly. The amplitude does not have to decrease to 0 (complete fading out) but it can (or will) be coupled in earlier. This makes it possible to measure the period or frequency of the vibrator during the decay process, and at the same time to eliminate all implementation-dependent deviations of the excitation, since they are not applied to the oscillator during the decay measurement. Furthermore, the frequency of the vibrator can be performed with a frequency comparison measurement, which is very accurate. (Phase drift of the beating). Since the arousal is messinvariant, can very quickly between decay and Excitation mode can be changed (several times per second). The decay process does not have to be complete because extrapolation of the Amplitude values can be calculated even with a small amplitude drop the quality. Thus, the load window can have a constant independent of the filling of the vibrator width. The accuracy of the quality measurement thus increases with decreasing quality (as the amplitude difference within the constant decay window increases - and thus the difference relative to a constant noise). Preferably, the interval for switching on and off for the respective oscillator is set, depending on the quality and amplitude of the investigated resonant oscillation, the duration ΔτΟ: Δτ1 the time intervals for the excitation by the decay in the ratio 1: 1 to 1: 3. This is also due to the available "energizing energy". (= Voltage at the piezo, current through the coil, ...) influenced, since higher start-up energy results in shorter start-up times) It is preferably provided that the breaker / switch, which interrupts the exciter gain, is only attached to the output of the excitation amplifier circuit. Thus, the resonant circuit of the Exciter gain are maintained in the interruption case with the period of the bending oscillator in phase and in the case of restarting the exciter gain by the in-phase excitation faster the original amplitude can be achieved again. He may be before or after the DAC. The decaying sine is analyzed for frequency and amplitude, and from these two values, the density of the medium in the oscillator and further processing of the signals with respect to, for example, viscosity correction and filling error detection are carried out in an evaluation and display unit. The adjustment curves and adjustment constants required for this are stored in the control and evaluation unit after adjustment measurements to standards of known density and viscosity. The measurement of the decay curves can be done over any period of time, for example, the measurement is carried out at a metal oscillator 4. 5 kHz resonance frequency (corresponding to a period of about 200 ... 250 ps) with air-filled oscillator with a decay time Δτΐ of about 65 msec , In general, decay periods of less than 1 second are preferred in order to be able to carry out the measurements sufficiently quickly. At high grades, long measuring times occur since the amplitude of the oscillator changes only slowly due to the low attenuation. The choice of the duration of the decay measurement is also dependent on accuracy, electronic components and computer power. The determination of frequency and amplitude can be done for example by means of a Fourier analysis, the frequency determination, for example, directly by mixing a local oscillator with the measurement signal or determination of the zero crossings of the Measurement signal. The amplitude can, for example, be measured directly independent of frequency and instantaneously, by means of moving maxima, etc. With direct measurement of the amplitude, each individual ADC sample, ie each individual measured value from the ADC, can be assigned its own amplitude value. 5 shows an embodiment according to the invention of the circuit diagram of a bending oscillator: In the initial state switch 9 is closed. The bending oscillator is equipped here with two piezo elements for excitation (3) and decrease (4). Excitation and acceptance take place via analogue voltage signals. The signal from the acceptance unit (4) is digitized by an analog-to-digital converter (ADC) and fed into a programmable digital module (8), which handles the central control and regulation tasks. This central component (8) of a digital implementation must guarantee the fastest possible signal processing; be implemented by μ-controller or DSP (Digital Signal Processor). Due to the achievable control speed, an FPGA (Field Programmable Gate Array) is preferably used. The principle described in Fig.l. Excitation amplifier circuit is implemented with this component and another digital-analog processor whose control signal drives the exciter unit (3). The amplified output signal is for Input signal phase-shifted by 90 ° and excites the vibrator to a forced oscillation. Alternatively, instead of the piezoelectric elements, any desired electrical components for exciting and reducing the oscillation, for example a combination of current-carrying coils and permanent magnets, may also be used. Excitation and decay may also occur at other locations of the vibrator, e.g. sit sideways on the thighs. In this case, the coil currents of the coils are used as the output and control signal. The central component of the arrangement is now an electronic switch 9, which is also controlled by the central module 8. The frequency or period duration determination takes place directly by mixing a local oscillator with the measurement signal. There is a frequency comparison of the input signal ωΐ, which is the decrease signal from the piezoelectric element (4), which provides the period of the bending oscillator, with a local oscillator ω2. If the two signals are multiplied together then: coscol * coso) 2 ~ cos (q1-co2) + cos (ωΐ + ω2) The local oscillator is controlled so that the two frequencies are equal and the first term becomes a pure amplitude (DC signal), the second term can be easily filtered by the large difference of the signals (the harmonic for a 4 kHz Oscillator here would be col = ω2 at 8 kHz) In order to increase the accuracy and / or to determine the viscosity correction with two different resonant oscillations, it may be desirable to excite the vibrator not only in a resonant mode but at the same time a second resonant mode, e.g. the first harmonic to excite with the exciter amplifier. In the case of a digital exciter amplifier, this can take place at the same time by superposition of the respective excitation signals. To evaluate these two oscillations, an additional filter 10 can be provided, which separates the response signal of the bending oscillator back into the two frequencies. Frequency-independent and instantaneous amplitude measurement assigns each ADC sample its own amplitude value (so it does not have to be measured over an entire oscillation period). This is achieved by using the local oscillator instead of the usual one Sine representation (y = sin (ot)) is realized as a complex rotor. y = exp (jcot) = cos (cot) + jsin (cot). The signal amplitude is determined by transformation of the Cartesian representation of the ADC signal in polar coordinates: Furthermore, an amplitude-independent determination of the current phase is possible: Since a corresponding complex data point can be assigned to each individual input sample, an instantaneous determination of the phase position of the oscillator is also possible. By means of simple differentiation of the phase, the period or frequency can thus be calculated. This measurement is independent of the Amplitude measurement or the current oscillator frequency.
权利要求:
Claims (11) [1] 1) A method for measuring the density of the period of a resonant oscillation mode of a bending oscillator wherein the oscillator is placed in a resonant undamped oscillation with an exciter amplifier circuit, characterized in that the oscillator during a time interval Atl is offset by an exciter amplifier in forced undamped oscillation , the excitation of the forced oscillation is interrupted periodically, the oscillator thereafter oscillates freely during a time interval Et2 and dampens according to its quality, wherein the period of the free damped oscillation is used for the density determination and after the measurement of the oscillator is excited again to undamped oscillation. [2] 2) Method according to claim 1, characterized in that the attenuated oscillation is also evaluated in terms of their phase and / or amplitude to make a viscosity correction of the determined density value from these parameters. [3] 3) Method according to one of the preceding claims, characterized in that the determination of the period of the oscillation takes place by frequency comparison with a local oscillator. [4] 4) Method according to claim 2, characterized in that the amplitude is determined directly by means of coordinate transformation of the measuring signal. [5] 5) Method according to one of the preceding claims, characterized in that the periodic switching on and off of the exciter circuit is determined by fixed time intervals. [6] 6) Method according to one of the preceding claims, characterized in that the switching on and off of the exciter circuit is controlled by means of the amplitude values of the damped and / or undamped oscillation. [7] 7) Method according to claim 5 or 6, characterized in that the time interval of the excitation gain in a fixed ratio Atl is the time interval for period measurement At2, wherein the ratio Atl: At2 is preferably in the range between 1: 1 to 1: 3. [8] 8) control and / or regulating circuit for a method for density measurement according to claim 1, characterized in that in the exciter circuit, which excites the oscillator to the undamped oscillation, a breaker is provided, the repeatable in defined time intervals between the excitation circuit to the undamped oscillation of the bending oscillator and to switch without specifying excitation of damped oscillating flexural vibrator and measuring the period of oscillation to determine open-field density. [9] 9) control and regulating circuit for a bending oscillator according to claim 8, characterized in that the switchover to the forced oscillation in the excitation circuit is in each case by a control circuit upon reaching a certain amplitude value for the damped and / or undamped oscillation. [10] 10) A control and / or control circuit for a bending vibrator according to claim 8, characterized in that the control for switching specified time intervals Atl and / or At2 pretends. [11] 11) control and / or regulating circuit according to one of the preceding claims, characterized in that the interrupter means are mounted after the exciter amplifier in the circuit and the resonant circuit for the amplifier circuit with the bending oscillator remains in phase.
类似技术:
公开号 | 公开日 | 专利标题 EP3012612B1|2020-01-01|Method and device for determining the density of a fluid DE102004014920B4|2012-04-19|Angular velocity sensor device DE69531026T2|2006-03-30|Mass flow meter according to the Coriolis principle WO2001075399A2|2001-10-11|Mass flow rate measuring device EP2798319B1|2015-09-16|Device for determining and/or monitoring at least one process variable DE102005035717A1|2006-03-16|Angular acceleration sensor based on vibration DE102006033819A1|2008-01-24|Device for determining and / or monitoring a process variable of a medium DE102014119061A1|2016-06-23|Vibronic sensor EP3472578B1|2020-05-13|Vibronic sensor and method of operating a vibronic sensor EP0487498B1|1995-10-04|Device for determining the density of liquids and gases from the period of an oscillator filled with a material DE102008039012B4|2012-04-19|Method for operating a resonance measuring system and resonance measuring system EP2677284A2|2013-12-25|Method for operating a resonance measuring system and corresponding resonance measuring system DE102004055553A1|2006-05-18|Measuring and operating circuit for a Coriolis mass flowmeter with three measuring channels EP2952874A1|2015-12-09|Method for determining a density value EP2564174A1|2013-03-06|Device for determining and/or monitoring a process variable of a medium EP3196605A1|2017-07-26|Method for operating a coriolis mass flow meter and coriolis mass flow meter DE3609489A1|1987-08-27|DEVICE FOR DETERMINING THE DENSITY DE102011100092A1|2012-10-31|Method for operating a resonance measuring system EP2861942B1|2018-02-21|Method of operating a resonance measuring system and corresponding resonance measuring system EP1825218B1|2016-03-09|Method for controlling/regulating a physical quantity of a dynamic system EP3015846A1|2016-05-04|Method for determining the filling level a vibrator pipe of an oscillator and oscillator DE102007028209A1|2008-12-18|Method for measuring and / or monitoring a flow parameter and corresponding device AT516556B1|2017-11-15|Measuring system with resonant sensors and method for operating a resonator DE102016124740A1|2018-06-21|Vibronic sensor with noise compensation EP1059515A1|2000-12-13|Mass flow rate measuring circuit for a mass flow/density meter
同族专利:
公开号 | 公开日 US10119895B2|2018-11-06| CN105527192A|2016-04-27| US20160109347A1|2016-04-21| EP3012612A1|2016-04-27| JP2016080708A|2016-05-16| AT516420B1|2016-11-15| JP6482449B2|2019-03-13| CN105527192B|2021-01-12| EP3012612B1|2020-01-01|
引用文献:
公开号 | 申请日 | 公开日 | 申请人 | 专利标题 DE19840904A1|1998-09-08|2000-03-09|Heinrichs Messgeraete Josef|Determining density of fluid flowing through vibrating pipe section based on known mass and inner volume of pipe section for determining spring constant of pipe section and total mass| DE10356383A1|2003-12-03|2005-06-30|Abb Patent Gmbh|Mass flow meter|WO2020124111A1|2018-12-21|2020-06-25|Anton Paar Gmbh|Method for cleaning a viscometer|AT280662B|1967-03-21|1970-04-27|Otto Dr Kratky|Device for measuring density| JPS5922515Y2|1976-07-20|1984-07-05| JPS5842927Y2|1976-10-29|1983-09-28| US4491009A|1983-06-10|1985-01-01|Micro Motion, Inc.|Electronic circuit for vibrating tube densimeter| CN87202553U|1987-02-24|1988-01-13|刘光|Electronic hydrometer| GB8705757D0|1987-03-11|1987-04-15|Schlumberger Electronics Uk|Fluid transducer| AT395074B|1990-11-22|1992-09-10|Hans Dr Stabinger|DEVICE FOR DETERMINING THE DENSITY OF LIQUIDS AND GAS FROM THE PERIOD OF A VIBRATOR FILLED WITH A PREPARATION| US6688176B2|2000-01-13|2004-02-10|Halliburton Energy Services, Inc.|Single tube densitometer| JP2002148139A|2000-11-07|2002-05-22|Sumitomo Metal Mining Co Ltd|Instrument and method for measuring natural frequency of tape| DE10237931A1|2002-08-14|2004-02-26|Endress + Hauser Gmbh + Co. Kg|Fixed, filling level monitoring, density, and viscosity measurement device, comprises a vibrator fixed at a chosen level, with a microprocessor to control feedback electronics to provide a constant phase-frequency response| US7059176B2|2003-06-18|2006-06-13|Integrated Sensing Systems, Inc.|Resonant tube viscosity sensing device| CN2646696Y|2003-10-17|2004-10-06|郑吉鹏|A liquid density measuring apparatus| CA2602863C|2005-03-29|2013-03-19|Micro Motion, Inc.|Coriolis flow meter and method for determining flow characteristics| DE102005044930B3|2005-09-20|2007-06-14|Seppeler-Stiftung für Flug- und Fahrwesen|Fluid`s e.g. liquid, density measuring method, involves periodically exciting measuring tube for oscillation in fixed time intervals by electromagnet, where tube freely oscillates along period between two excitations of electromagnet| DE102005062001A1|2005-12-22|2007-06-28|Endress + Hauser Gmbh + Co. Kg|Gaseous medium`s measured value determination and/or monitoring method, involves determining characteristic of oscillations of mechanically oscillatable unit, and determining measured value based on comparison of characteristic with curve| US7735353B2|2006-06-20|2010-06-15|Rudolph Research Analytical|Method and apparatus for oscillating a test sample| DE102006033819A1|2006-07-19|2008-01-24|Endress + Hauser Gmbh + Co. Kg|Device for determining and / or monitoring a process variable of a medium| DE102006034105A1|2006-07-20|2008-01-24|Endress + Hauser Gmbh + Co. Kg|Device for determining and / or monitoring a process variable of a medium| DE102007013557A1|2006-08-02|2008-02-14|Endress + Hauser Gmbh + Co. Kg|Device for determining and / or monitoring a process variable of a medium| CN101595372A|2006-12-21|2009-12-02|Abb专利有限公司|The method and the corresponding instrument of operation vibratory measuring instrument| CN201707277U|2010-03-31|2011-01-12|范凯|High-precision fluid density measurement sensor| CN201673102U|2010-05-10|2010-12-15|中国海洋石油总公司|Densimeter| AT12626U1|2011-03-11|2012-09-15|Messtechnik Dr Hans Stabinger Gmbh Lab F|DENSITY MEASURING DEVICE|AT516302B1|2014-10-10|2016-06-15|Anton Paar Gmbh|Method and device for determining the filling quality of a bending vibrator| AT520318B1|2017-11-06|2019-03-15|Mettler Toledo Gmbh|Density measuring device for determining the density of fluid media| AT520632B1|2018-01-29|2019-06-15|Anton Paar Gmbh|Method for measuring the density of a medium flowing through a pipe or located in a pipe| WO2020223749A1|2019-05-03|2020-11-12|Anton Paar Gmbh|Method for checking the state of a temperature sensor of a density sensor|
法律状态:
2021-06-15| MM01| Lapse because of not paying annual fees|Effective date: 20201020 |
优先权:
[返回顶部]
申请号 | 申请日 | 专利标题 ATA777/2014A|AT516420B1|2014-10-20|2014-10-20|Method and device for determining the density of a fluid|ATA777/2014A| AT516420B1|2014-10-20|2014-10-20|Method and device for determining the density of a fluid| EP15189886.3A| EP3012612B1|2014-10-20|2015-10-15|Method and device for determining the density of a fluid| JP2015205549A| JP6482449B2|2014-10-20|2015-10-19|Measuring method of fluid density| CN201510678471.2A| CN105527192B|2014-10-20|2015-10-20|Method for measuring fluid density| US14/887,811| US10119895B2|2014-10-20|2015-10-20|Method, circuit and flexural resonator for measuring the density of fluids| 相关专利
Sulfonates, polymers, resist compositions and patterning process
Washing machine
Washing machine
Device for fixture finishing and tension adjusting of membrane
Structure for Equipping Band in a Plane Cathode Ray Tube
Process for preparation of 7 alpha-carboxyl 9, 11-epoxy steroids and intermediates useful therein an
国家/地区
|