CN111208312B - Method for monitoring rotating speed and strain of high-speed rotating tubular structure based on waves - Google Patents

Method for monitoring rotating speed and strain of high-speed rotating tubular structure based on waves Download PDF

Info

Publication number
CN111208312B
CN111208312B CN201911405520.XA CN201911405520A CN111208312B CN 111208312 B CN111208312 B CN 111208312B CN 201911405520 A CN201911405520 A CN 201911405520A CN 111208312 B CN111208312 B CN 111208312B
Authority
CN
China
Prior art keywords
tubular structure
waves
excitation
strain
speed
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Active
Application number
CN201911405520.XA
Other languages
Chinese (zh)
Other versions
CN111208312A (en
Inventor
吕朝锋
张殷楠
张鹤
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Zhejiang University ZJU
Original Assignee
Zhejiang University ZJU
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Zhejiang University ZJU filed Critical Zhejiang University ZJU
Priority to CN201911405520.XA priority Critical patent/CN111208312B/en
Publication of CN111208312A publication Critical patent/CN111208312A/en
Priority to PCT/CN2020/136162 priority patent/WO2021135908A1/en
Application granted granted Critical
Publication of CN111208312B publication Critical patent/CN111208312B/en
Active legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Images

Classifications

    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01P—MEASURING LINEAR OR ANGULAR SPEED, ACCELERATION, DECELERATION, OR SHOCK; INDICATING PRESENCE, ABSENCE, OR DIRECTION, OF MOVEMENT
    • G01P3/00—Measuring linear or angular speed; Measuring differences of linear or angular speeds
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B15/00—Measuring arrangements characterised by the use of electromagnetic waves or particle radiation, e.g. by the use of microwaves, X-rays, gamma rays or electrons
    • G01B15/06—Measuring arrangements characterised by the use of electromagnetic waves or particle radiation, e.g. by the use of microwaves, X-rays, gamma rays or electrons for measuring the deformation in a solid
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10—Complex mathematical operations
    • G06F17/11—Complex mathematical operations for solving equations, e.g. nonlinear equations, general mathematical optimization problems

Landscapes

  • Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Mathematical Physics (AREA)
  • Pure & Applied Mathematics (AREA)
  • Mathematical Optimization (AREA)
  • Mathematical Analysis (AREA)
  • Computational Mathematics (AREA)
  • Data Mining & Analysis (AREA)
  • Theoretical Computer Science (AREA)
  • Operations Research (AREA)
  • Algebra (AREA)
  • Databases & Information Systems (AREA)
  • Software Systems (AREA)
  • General Engineering & Computer Science (AREA)
  • Electromagnetism (AREA)
  • Investigating Or Analyzing Materials By The Use Of Ultrasonic Waves (AREA)

Abstract

The invention discloses a method for monitoring the rotating speed and strain of a high-speed rotating tubular structure based on waves, which comprises the steps of giving wave excitation to the outer surface of the tubular structure, receiving excitation waves at a receiving position, enabling the receiving position and the position for applying the wave excitation to be on the same cross section of the tubular structure and on the outer surface opposite to the rotating direction of the tubular structure, enabling an included angle between the two positions to be smaller than 180 degrees, enabling the wavelength of the excitation waves to be the same as the perimeter of the outer boundary of the tubular structure, controlling the frequency of the excitation waves to continuously increase from zero, analyzing the frequency of the receiving waves, stopping excitation when the first maximum resonant frequency occurs, enabling the value of the obtained resonant frequency to be the angular speed of the rotation of the tubular structure, and obtaining the strain condition of one point in a rotating body according to the relationship. The non-contact monitoring method based on the waves does not need to implant equipment, has small interference on an original structure and low requirement on space conditions, and is suitable for rotating tubular structures with any sizes and used already.

Description

Method for monitoring rotating speed and strain of high-speed rotating tubular structure based on waves
Technical Field
The invention relates to the field of structure dynamic monitoring, in particular to a method for monitoring the rotating speed and strain of a high-speed rotating tubular structure based on waves.
Background
The high-speed rotating tubular structure is widely applied to industrial structures such as various rotors, flywheels and the like, and in the application process, the rotating speed and the strain condition of the tubular structure are generally required to be monitored, so that the structural damage caused by overhigh rotating speed and overlarge strain is avoided. According to the existing rotating speed monitoring method for the high-speed rotating structure, the implanted equipment is difficult to repair after being damaged, but the non-implanted equipment needs to be externally connected to a rotating shaft or a sensor is shielded through the structure rotating process, so that the method is not suitable for the situation that the rotating shaft cannot provide an external space and the tubular structure cannot realize periodic shielding. According to the strain monitoring method, the traditional strain gauge needs an external circuit and monitoring equipment, the arrangement is complicated, and the strain monitoring mode of carrying out signal acquisition through implanted equipment and wirelessly transmitting the acquired signal to the monitoring equipment also faces the problem that the strain gauge is difficult to repair after being damaged.
Disclosure of Invention
In order to overcome the defects of the prior art, the invention provides a method for monitoring the rotating speed and the strain of a high-speed rotating tubular structure based on waves, which has the following specific technical scheme:
a method for monitoring the rotating speed and strain of a high-speed rotating tubular structure based on waves comprises the following steps:
giving wave excitation on the outer surface of the tubular structure, receiving excitation waves at a receiving position, wherein the receiving position and the position for applying the wave excitation are on the same cross section of the rotary tubular structure, the receiving position is positioned on the outer surface opposite to the rotation direction of the tubular structure, the included angle between the two positions is less than 180 degrees, the wavelength of the excitation waves is the same as the perimeter of the outer boundary of the tubular structure, the frequency of the excitation waves is controlled to be increased continuously from zero, the frequency of the receiving waves is analyzed while the excitation frequency is increased, the excitation is stopped when the first maximum resonance frequency occurs, the obtained value of the resonance frequency is the angular speed of the rotation of the tubular structure, and the radial strain epsilon of one point in the rotary body is obtained according to the relation between the rotation speed of the tubular structure and the strainrAnd hoop strain epsilonθ。
Further, the radial strain εrAnd hoop strain epsilonθThe size is obtained by the following formula,
Figure BDA0002348525410000011
Figure BDA0002348525410000012
Figure BDA0002348525410000021
Figure BDA0002348525410000022
Figure BDA0002348525410000023
Figure BDA0002348525410000024
r∈[a,b],θ∈[0,2π)
wherein u isrThe method is characterized in that the method is the radial displacement of any point in a tubular structure, r is a radial coordinate, theta is an annular coordinate, omega is the rotation angular velocity of the tubular structure, a is the inner diameter of the tubular structure, b is the outer diameter of the tubular structure, rho is the mass density of a structural material, E is the Young modulus of the structural material, v is the Poisson's ratio, pi is the circumferential ratio, and the coefficient C is1And C2The values of (a) are related to the boundary conditions of the tubular structure:
if the inner and outer boundaries of the rotating tubular body are free boundaries, the coefficients satisfy:
Figure BDA0002348525410000025
and is established on the inner and outer boundaries, so as to obtain the value of the coefficient,
if the inner boundary of the tubular structure is fixed and the outer boundary is free, the coefficients satisfy:
at the outer boundary
Figure BDA0002348525410000026
On the inner boundary urAnd (5) obtaining a coefficient value when the coefficient value is 0.
The invention has the advantages that the invention obtains the rotating speed of the high-speed rotating tubular structure by exciting the wave on the outer surface of the high-speed rotating tubular structure and analyzing the frequency of the received wave, obtains the strain of one point in the rotating body according to the corresponding relation between the rotating speed and the strain, eliminates the defect that the traditional implanted equipment is difficult to repair after being damaged by a non-contact monitoring mode, can excite and receive the wave on any cross section vertical to the symmetrical axis of the tubular structure, eliminates the limit value of external equipment on the rotating shaft with specific requirements on space, can be suitable for tubular structures with various sizes by monitoring the rotating speed and the strain by the exciting wave, and eliminates the defect that the sensor is not suitable for the structure which can not realize periodic shielding by the sensor in the rotating process of the structure. According to the invention, the strain condition of any point in the tubular structure can be obtained by utilizing the relation between the rotating speed and the strain, strain gauges do not need to be arranged at a plurality of positions of the tubular structure, the equipment arrangement is simple, and the interference to the original structure is small. Meanwhile, the wave-based monitoring mode provided by the invention is suitable for monitoring the used rotating structure because the equipment does not need to be implanted into the rotating body.
Drawings
The invention is further illustrated with reference to the following figures and examples.
FIG. 1 is a schematic flow chart of an embodiment of the present invention;
FIG. 2 is a schematic diagram of the method of the present invention;
in the figure, 1 is a tubular structure, 2 is an excitation, 3 is a receiving, and 4 is a tubular structure rotating shaft.
Detailed Description
The present invention will be described in detail below with reference to the accompanying drawings and preferred embodiments, and the objects and effects of the present invention will become more apparent, it being understood that the specific embodiments described herein are merely illustrative of the present invention and are not intended to limit the present invention.
As shown in fig. 1, the method for monitoring the rotational speed and strain of the high-speed rotating tubular structure based on waves of the present invention specifically comprises the following steps:
giving wave excitation 2 to the outer surface of the tubular structure 1, receiving the excitation 2 wave at a receiving 3 position, wherein the receiving 3 position and the position for applying the wave excitation 2 are on the same cross section of the rotary tubular structure 1, the receiving 3 position is positioned on the outer surface opposite to the rotation direction of the tubular structure 1, an included angle between the two positions is less than 180 degrees, the wavelength of the excitation 2 wave is the same as the peripheral length of the outer boundary of the tubular structure 1, controlling the frequency of the excitation 2 wave to continuously increase from zero, analyzing the frequency of the receiving 3 wave while increasing the frequency of the excitation 2, stopping the excitation 2 when the first maximum resonant frequency occurs, and obtaining the value of the resonant frequency which is the angular speed of the rotation of the tubular structure;
as shown in fig. 2, the deformation of a tubular structure rotating at high speed at an angular velocity Ω can be regarded as a uniform expansion deformation with an inner diameter a and an outer diameter b of the tubular structure. And setting a radial coordinate r, a circumferential coordinate theta and an axial coordinate z, wherein the strain does not change along with the axial coordinate z for a point in the tubular structure for determining the radial coordinate r and the circumferential coordinate theta. Therefore, only radial and hoop strain levels are required. According to the relation between the rotating speed and the strain of the tubular structure, the radial strain epsilon of one point in the rotating body can be obtainedrAnd hoop strain epsilonθThe size of the capsule is determined by the size of the capsule,
Figure BDA0002348525410000031
wherein u isrIs the radial displacement of a point inside the tubular structure, which can be expressed as an equation for the rotational speed,
Figure BDA0002348525410000032
in the formula (I), the compound is shown in the specification,
Figure BDA0002348525410000041
Figure BDA0002348525410000042
Figure BDA0002348525410000043
Figure BDA0002348525410000044
r∈[a,b],θ∈[0,2π)
wherein rho is the mass density of the structural material, E is the Young modulus of the structural material, v is the Poisson's ratio, pi is the circumference ratio, and the coefficient C1And C2The values of (a) are related to the boundary conditions of the tubular structure:
if the inner and outer boundaries of the rotating tubular structure are free boundaries, the coefficients satisfy:
Figure BDA0002348525410000045
and is established on the inner and outer boundaries, so as to obtain the value of the coefficient,
if the inner boundary of the tubular structure is fixed and the outer boundary is free, the coefficients satisfy:
at the outer boundary
Figure BDA0002348525410000046
On the inner boundary urAnd (5) obtaining a coefficient value when the coefficient value is 0.
It will be understood by those skilled in the art that the foregoing is only a preferred embodiment of the present invention, and is not intended to limit the invention, and although the invention has been described in detail with reference to the foregoing examples, it will be apparent to those skilled in the art that various changes in the form and details of the embodiments may be made and equivalents may be substituted for elements thereof. All modifications, equivalents and the like which come within the spirit and principle of the invention are intended to be included within the scope of the invention.

Claims (1)

1. A method for monitoring the rotating speed and strain of a high-speed rotating tubular structure based on waves is characterized by comprising the following steps:
giving wave excitation on the outer surface of the tubular structure, receiving excitation waves at a receiving position, wherein the receiving position and the position for applying the wave excitation are on the same cross section of the rotary tubular structure, the receiving position is positioned on the outer surface opposite to the rotation direction of the tubular structure, the included angle between the two positions is less than 180 degrees, the wavelength of the excitation waves is the same as the perimeter of the outer boundary of the tubular structure, the frequency of the excitation waves is controlled to be increased continuously from zero, the frequency of the receiving waves is analyzed while the excitation frequency is increased, the excitation is stopped when the first maximum resonance frequency occurs, the obtained value of the resonance frequency is the angular speed of the rotation of the tubular structure, and the radial strain epsilon of one point in the rotary body is obtained according to the relation between the rotation speed of the tubular structure and the strainrAnd hoop strain epsilonθ(ii) a The radial strain εrAnd hoop strain epsilonθThe size is obtained by the following formula,
Figure FDA0002814871960000011
Figure FDA0002814871960000012
Figure FDA0002814871960000013
Figure FDA0002814871960000014
Figure FDA0002814871960000015
Figure FDA0002814871960000016
r∈[a,b],θ∈[0,2π)
wherein u isrThe method is characterized in that the method is the radial displacement of any point in a tubular structure, r is a radial coordinate, theta is an annular coordinate, omega is the rotation angular velocity of the tubular structure, a is the inner diameter of the tubular structure, b is the outer diameter of the tubular structure, rho is the mass density of a structural material, E is the Young modulus of the structural material, v is the Poisson's ratio, pi is the circumferential ratio, and the coefficient C is1And C2The values of (a) are related to the boundary conditions of the tubular structure:
if the inner and outer boundaries of the tubular structure are free boundaries, the coefficients satisfy:
Figure FDA0002814871960000021
and is established on the inner and outer boundaries, so as to obtain the value of the coefficient,
if the inner boundary of the tubular structure is fixed and the outer boundary is free, the coefficients satisfy:
at the outer boundary
Figure FDA0002814871960000022
On the inner boundary urAnd (5) obtaining a coefficient value when the coefficient value is 0.
CN201911405520.XA 2019-12-30 2019-12-30 Method for monitoring rotating speed and strain of high-speed rotating tubular structure based on waves Active CN111208312B (en)

Priority Applications (2)

Application Number Priority Date Filing Date Title
CN201911405520.XA CN111208312B (en) 2019-12-30 2019-12-30 Method for monitoring rotating speed and strain of high-speed rotating tubular structure based on waves
PCT/CN2020/136162 WO2021135908A1 (en) 2019-12-30 2020-12-14 Wave-based rotation speed and strain monitoring method for high-speed rotating tubular structure

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN201911405520.XA CN111208312B (en) 2019-12-30 2019-12-30 Method for monitoring rotating speed and strain of high-speed rotating tubular structure based on waves

Publications (2)

Publication Number Publication Date
CN111208312A CN111208312A (en) 2020-05-29
CN111208312B true CN111208312B (en) 2021-01-29

Family

ID=70784165

Family Applications (1)

Application Number Title Priority Date Filing Date
CN201911405520.XA Active CN111208312B (en) 2019-12-30 2019-12-30 Method for monitoring rotating speed and strain of high-speed rotating tubular structure based on waves

Country Status (2)

Country Link
CN (1) CN111208312B (en)
WO (1) WO2021135908A1 (en)

Families Citing this family (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111208312B (en) * 2019-12-30 2021-01-29 浙江大学 Method for monitoring rotating speed and strain of high-speed rotating tubular structure based on waves

Citations (8)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP5670857B2 (en) * 2011-10-05 2015-02-18 日立オートモティブシステムズ株式会社 Rotational angular velocity sensor
CN104537205A (en) * 2014-11-17 2015-04-22 哈尔滨工程大学 Vibration analysis method of passive constrained damping rotating body structure
CN106248278A (en) * 2016-07-25 2016-12-21 宁波威孚天力增压技术有限公司 A kind of axial force measuring system of turbocharger and method of testing thereof
CN106529048A (en) * 2016-11-11 2017-03-22 四川长虹空调有限公司 Pipe vibration simulation method for air conditioner compressor
DE202016104055U1 (en) * 2016-07-25 2017-10-27 Woco Industrietechnik Gmbh Measuring device and separator with measuring device
CN110362928A (en) * 2019-07-17 2019-10-22 大连民族大学 The method for determining the internal resonance characteristic of super-elasticity Thin-Wall Cylindrical Shells
CN110442971A (en) * 2019-08-06 2019-11-12 东北大学 A kind of rotating cylindrical shell kinetic characteristics Uncertainty Analysis Method
CN110457823A (en) * 2019-08-13 2019-11-15 大连民族大学 The MLP method of super-elasticity cylindrical thin shell strong nonlinear vibration

Family Cites Families (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
EP2623949A1 (en) * 2012-01-31 2013-08-07 Siemens Aktiengesellschaft Status monitoring device and method for monitoring the status of rotating mechanical components
CN104570072B (en) * 2013-10-16 2017-10-27 中国石油化工股份有限公司 A kind of sphere PP wave reflection coefficient modeling methods in viscoelastic medium
CN103745091A (en) * 2013-12-20 2014-04-23 东北大学 Determination method of vibration fault characteristics of thin-walled cylinder structure
CN107356320B (en) * 2017-08-03 2019-12-06 天津大学 pulse ultrasonic sound field detection device and method
CN107620329B (en) * 2017-10-13 2020-10-13 北京工业大学 Vertical fluctuation effect considered longitudinal vibration analysis method for radial heterogeneous soil-in-pipe pile
CN111208312B (en) * 2019-12-30 2021-01-29 浙江大学 Method for monitoring rotating speed and strain of high-speed rotating tubular structure based on waves

Patent Citations (8)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP5670857B2 (en) * 2011-10-05 2015-02-18 日立オートモティブシステムズ株式会社 Rotational angular velocity sensor
CN104537205A (en) * 2014-11-17 2015-04-22 哈尔滨工程大学 Vibration analysis method of passive constrained damping rotating body structure
CN106248278A (en) * 2016-07-25 2016-12-21 宁波威孚天力增压技术有限公司 A kind of axial force measuring system of turbocharger and method of testing thereof
DE202016104055U1 (en) * 2016-07-25 2017-10-27 Woco Industrietechnik Gmbh Measuring device and separator with measuring device
CN106529048A (en) * 2016-11-11 2017-03-22 四川长虹空调有限公司 Pipe vibration simulation method for air conditioner compressor
CN110362928A (en) * 2019-07-17 2019-10-22 大连民族大学 The method for determining the internal resonance characteristic of super-elasticity Thin-Wall Cylindrical Shells
CN110442971A (en) * 2019-08-06 2019-11-12 东北大学 A kind of rotating cylindrical shell kinetic characteristics Uncertainty Analysis Method
CN110457823A (en) * 2019-08-13 2019-11-15 大连民族大学 The MLP method of super-elasticity cylindrical thin shell strong nonlinear vibration

Non-Patent Citations (5)

* Cited by examiner, † Cited by third party
Title
《Effect of the geometty on the non-linear vibration of circular cylindrical shells》;Pellicano F等;《Non-linear Mechanics》;20021231;第37卷;第1181-1198页 *
《On the dynamic response of laminated circular cylindrical shells under impulse loads》;Y S Lee等;《Computers and Structures》;19971231;第63卷;第149-157页 *
《两端自由圆柱壳受局部横向冲击瞬态响应的一个近似级数解》;陆赛华等;《工程力学》;20041231;第21卷(第6期);第65-71页 *
《旋转薄壁圆柱壳非线性波动振动分析》;李永刚等;《南昌工程学院学报》;20071231;第26卷(第6期);第32-36页 *
《薄壁圆柱壳旋转波动振动分析》;李健等;《东北大学学报（自然科学版）》;20070430;第28卷(第4期);摘要部分，第555页第2栏及图1-6 *

Also Published As

Publication number Publication date
WO2021135908A1 (en) 2021-07-08
CN111208312A (en) 2020-05-29

Similar Documents

Publication Publication Date Title
CN111208312B (en) Method for monitoring rotating speed and strain of high-speed rotating tubular structure based on waves
Endo et al. Flexural vibration of a thin rotating ring
RU2193753C2 (en) Gyroscopic transmitter and device measuring rotation based on its usage
US20080184798A1 (en) Sensing element of coriolis force gyroscope
JP2014038085A (en) Control moment gyroscopes including torsionally-stiff spoked rotors and methods for manufacturing thereof
CN115876182B (en) Electrode error modeling method of hemispherical resonator gyroscope
JP2017075886A (en) Resonator for semispherical resonance type gyro, and semispherical resonance type gyro
CN105716759A (en) Rotating shaft torque measuring device based on surface transverse wave
JP6408139B2 (en) Method for operating a mechanical installation comprising a shaft row
CN104215441B (en) A kind of vertical rotor dynamic radial load maintainer and stability test scheme
CN115950451A (en) Damping uneven drift compensation method for full-angle hemispherical resonant gyroscope
US20100218603A1 (en) Shaft balancing system and methods
JP5262392B2 (en) Rotating machine support device and design method thereof
CN104165729B (en) A kind of dynamic balance method of high speed rotor
CN116576886B (en) Hemispherical resonator gyro damping non-uniformity identification method
CN105787153B (en) A kind of design method of vibration absorbing coupling
US6536279B1 (en) Process for balancing a shaft with an oscillation damper
JPWO2021124819A5 (en)
JP2018535103A (en) Rotary cutting device with embedded monitoring unit
US8511166B2 (en) Strain measurement of rotating components
Briscoe et al. Axisymmetric vibrational power measurement in empty and fluid filled pipes
CN106840794A (en) A kind of pile foundation preparation method for model test
WO2020008836A1 (en) Torque sensor
WO2016079997A1 (en) Shaft diameter enlarging apparatus and shaft diameter enlarging method
CN204575249U (en) A kind of fast adjuster of enclosure space internal rotor amount of unbalance

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination
GR01 Patent grant
GR01 Patent grant