CN109115602B - Method and system for determining offset of pressure-bearing section of cylinder based on axial pressure - Google Patents

Method and system for determining offset of pressure-bearing section of cylinder based on axial pressure Download PDF

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CN109115602B
CN109115602B CN201810696199.4A CN201810696199A CN109115602B CN 109115602 B CN109115602 B CN 109115602B CN 201810696199 A CN201810696199 A CN 201810696199A CN 109115602 B CN109115602 B CN 109115602B
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cylinder
pressure
bearing section
axial
column
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CN109115602A (en
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周子健
周晓杨
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Wuhan Simutech Co ltd
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N3/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N3/08Investigating strength properties of solid materials by application of mechanical stress by applying steady tensile or compressive forces

Abstract

The invention relates to a method and a system for determining the offset of a pressure-bearing section of a cylinder based on axial pressure, wherein the method comprises the following steps of S1, fixedly distributing 3 detection points for detecting the axial deformation of the cylinder around the cylinder; s2, loading axial pressure on the pressure-bearing section of the cylinder, and detecting the axial deformation of the cylinder by 3 detection points; and S3, calculating the offset of the pressure point of the axial pressure relative to the surface center of the pressure-bearing section of the column body by using the axial deformation of the column body detected by the 3 detection points according to the calculation principle of the deformation of the column body under the eccentric axial pressure. The invention utilizes the calculation principle of the deformation of the column body to calculate the offset of the pressing center of the elastic modulus and the axial pressure of the column body relative to the surface center of the pressure-bearing section of the column body, has accurate calculation, avoids the problem that the position of the test block is adjusted for many times by feeling in the prior art, reduces the trouble of manually adjusting the position of the test block, and provides accurate basis for the computer to quickly and automatically control and move the test block in the later period.

Description

Method and system for determining offset of pressure-bearing section of cylinder based on axial pressure
Technical Field
The invention relates to the field of compression tests of test blocks of cement, concrete and building material products, in particular to a method and a system for determining the offset of a pressure-bearing section of a cylinder based on axial pressure.
Background
In the process of manufacturing concrete products (bridges, houses, dams and the like), a batch of concrete test blocks are often required to be manufactured at the same time and maintained in the same and standard environments, and in different maintenance stages, the current mechanical property of the concrete products is deduced through the detection of the strength and the elastic modulus of the test blocks, so that the quality of the concrete is determined, and the arrangement of subsequent processes is carried out. The electrohydraulic type pressure testing machine is special equipment for detecting the strength and the elastic modulus of a concrete test block, at present, the equipment is electrically and manually operated, and the reading of the load value of the strength of the concrete test block, the load control of test loading, the reading of the deformation of each detection point of the test block under corresponding load and the centering adjustment of the concrete test block are all completed manually. Electro-hydraulic pressure testing machine is the equipment that is used for the intensity and the elastic modulus detection of concrete test block specially, the detection of concrete test block on the testing machine is shown in fig. 1, go up ejector pin 2 and install in the upper beam center of reaction frame 1 through the lead screw, but adjusting vertical height, jack 6 is installed in the center of underbeam, backing plate 5 has been placed on jack 6 piston, cylinder 3 is laid on backing plate 5, should place in the loading center, install two amesdials 4 on the cylinder 3 and be used for detecting the deflection of cylinder 3 when the atress. During loading detection, the screw rod is rotated to enable the upper ejector rod 2 to approach the upper surface of the column body 3, then the jack 6 is operated to ascend for loading, and loading load is determined by reading oil pressure or a force value of oil pressure reaction. And then reading the readings of the dial indicators 4 on the two sides, if the reading difference of the dial indicators 4 on the two sides is overlarge, unloading, loosening the cylinder 3, readjusting the position of the cylinder 3 to enable the centroid of the cylinder to coincide with the pressure center of the pressure of the screw rod as much as possible, then loading and reading the readings of the two dial indicators 4 until the readings of the two dial indicators 4 are close to each other, and calculating the elastic modulus of the cylinder through the average value of the readings of the two dial indicators 4 and the loading load value. The above manipulations are all done manually at present, and only the load value can be read by a computer. In the process of adjusting the position of the test block, the test block needs to be adjusted for many times by feeling, so that the position of the test block is manually adjusted, the superposition of the centroid and the pressure of the test block is judged to be very inaccurate by the reading of the two dial gauges, and the elastic modulus of the concrete test block calculated by the average value and the loading load value of the reading of the two dial gauges is also inaccurate.
Disclosure of Invention
The invention aims to provide a method and a system for determining the offset of a cylinder based on axial pressure, which can provide accurate basis for a computer to quickly and automatically control the movement of the cylinder and accurately calculate the elastic modulus of the cylinder.
The technical scheme for solving the technical problems is as follows: a method for determining the offset of a pressure-bearing section of a cylinder based on axial pressure comprises the following steps,
s1, fixedly distributing 3 detection points for detecting the axial deformation of the column body around the column body;
s2, loading axial pressure on the pressure-bearing section of the cylinder, and detecting the axial deformation of the cylinder by 3 detection points;
and S3, calculating the offset of the pressure point of the axial pressure relative to the surface center of the pressure-bearing section of the column body by using the axial deformation of the column body detected by the 3 detection points according to the calculation principle of the deformation of the column body under the eccentric axial pressure.
The invention has the beneficial effects that: in the method for determining the offset of the pressure-bearing section of the cylinder based on the axial pressure, the offset of the elastic modulus of the cylinder and the offset of the pressure center of the axial pressure relative to the surface center of the pressure-bearing section of the cylinder in the calculation principle of the deformation of the cylinder is calculated accurately, and meanwhile, the problem that the position of a test block is adjusted by a user for many times by feeling in the prior art is avoided, the trouble of manually adjusting the position of the test block is reduced, and an accurate basis is provided for a computer to quickly and automatically control the moving test block in the later period.
On the basis of the technical scheme, the invention can be further improved as follows.
Further, the method also comprises the step of calculating the elastic modulus of the cylinder according to the axial deformation of the cylinder detected by the detection point.
The beneficial effect of adopting the further scheme is that: the elastic modulus of the cylinder calculated by the method for determining the offset of the pressure-bearing section of the cylinder based on the axial pressure is more accurate than that calculated by the prior art.
Further, the distance from the 3 detection points to the central axis of the column body is determined.
The beneficial effect of adopting the further scheme is that: the distribution positions of the 3 detection points can facilitate installation and positioning, and simplify the calculation process.
Further, the calculation principle of the deformation of the column body under the eccentric axial pressure in S3 is as follows:
ΔZ=ΔZX+ΔZY+ΔZZ
wherein, Δ ZxWhen the pressure center of axial pressure deviates in the X direction relative to the surface center of the pressure-bearing section of the column body, the columnZ-direction displacements occurring at points in the body in the X-direction; delta ZyWhen the pressure center of the axial pressure generates deviation in the Y direction relative to the surface center of the pressure-bearing section of the cylinder, Z-direction displacement is generated at each point in the Y direction in the cylinder; delta ZzIs the displacement of each point in the cylinder in the Z direction when the pressure center of the axial pressure is coincident with the face center of the pressure-bearing section of the cylinder.
The beneficial effect of adopting the further scheme is that: delta Z is the value of the deformation of the cylinder detected by the detection points, and 3 detection points are adopted to replace the original two detection points in the invention, thus improving the detection precision.
Further, in the present invention,
Figure BDA0001713537870000031
wherein X is the distance of the detection point relative to the surface center of the pressure-bearing section of the cylinder in the X direction, E is the elastic modulus of the cylinder, P is the axial pressure, h is the height of the cylinder, and X is the height of the cylinderaOffset of the pressure center of axial pressure relative to the center of the cylinder pressure-bearing section in the X direction, IyIs the moment of inertia of the cylinder around the Y axis; c is the constraint coefficient of the column body, and C is more than 0 and less than or equal to 2;
when the column is a cuboid, the column is,
Figure BDA0001713537870000032
wherein a is the length of the column and b is the width of the column;
when the column body is a cylinder, the column body is,
Figure BDA0001713537870000041
wherein d is the diameter of the cylinder.
Further, X is Rcos θ, where θ is a rotation angle of the detection point on the axis in the X direction with respect to the center of the surface of the pressure-bearing section of the column, and R is a distance from the detection point to the central axis of the column.
By usingThe beneficial effects of the further scheme are as follows: at Δ ZxIn the calculation formula (2), divide by E and XaAre unknown, others X, P, h and IyAre known and can provide convenience for subsequent calculations.
Further, in the present invention,
Figure BDA0001713537870000042
wherein Y is the distance of the detection point relative to the surface center of the pressure-bearing section of the cylinder in the Y direction, E is the elastic modulus of the cylinder, P is the axial pressure, h is the height of the cylinder, and Y is the height of the cylinderbOffset of the pressure center of axial pressure relative to the surface center of the pressure-bearing section of the cylinder in the Y direction, IxIs the moment of inertia of the column around the X axis; c is the constraint coefficient of the column body, and C is more than 0 and less than or equal to 2
When the column is a cuboid, the column is,
Figure BDA0001713537870000043
wherein a is the length of the column and b is the width of the column;
when the column body is a cylinder, the column body is,
Figure BDA0001713537870000044
wherein d is the diameter of the cylinder.
Further, Y is Rsin θ, where θ is a rotation angle of the detection point on the axis in the X direction with respect to the plane center of the pressure-bearing section of the column, and R is a distance from the detection point to the central axis of the column.
The beneficial effect of adopting the further scheme is that: at Δ ZyIn the calculation formula (2), divide by E and YbAre unknown, others Y, P, h and IxAre known and can provide convenience for subsequent calculations.
Further, in the present invention,
Figure BDA0001713537870000051
wherein L is an effective height preset by the cylinder in the actual measurement process, P is axial pressure, and S is the area of a pressure-bearing section of the cylinder;
when the column is a cuboid, the column is,
S=a×b
a is the length of the column and b is the width of the column;
when the column body is a cylinder, the column body is,
Figure BDA0001713537870000052
wherein d is the diameter of the cylinder.
The beneficial effect of adopting the further scheme is that: at Δ ZzL, P and S are known, so Δ ZzAnd also known to facilitate subsequent calculations.
Based on the method for determining the offset of the cylinder based on the axial pressure, the invention also provides a system for determining the offset of the cylinder based on the axial pressure.
A system for determining the offset of a cylinder based on axial pressure comprises a deformation detection module, an axial pressure loading module and a displacement calculation module,
the deformation detection module is used for fixedly distributing 3 detection points for detecting the axial deformation of the cylinder around the cylinder;
the axial pressure loading module is used for loading axial pressure on the pressure-bearing section of the cylinder, and the 3 detection points detect the axial deformation of the cylinder;
and the displacement calculation module is used for calculating the offset of the pressure point of the axial pressure relative to the surface center of the pressure-bearing section of the cylinder by using the axial deformation of the cylinder detected by the 3 detection points according to the calculation principle of the deformation of the cylinder under the eccentric axial pressure.
The invention has the beneficial effects that: in the system for determining the offset of the pressure-bearing section of the cylinder based on the axial pressure, the offset of the pressure-bearing section of the cylinder in the X direction and the offset of the pressure-bearing section of the cylinder in the Y direction can be accurately calculated, an accurate basis is provided for a computer to quickly and automatically control the moving test block, and meanwhile, the elastic modulus can be accurately calculated.
Drawings
FIG. 1 is a schematic structural diagram of a concrete test block detected on a testing machine in the prior art;
FIG. 2 is a flow chart of a method for determining an offset of a bearing section of a column based on axial pressure according to the present invention;
FIG. 3 is a schematic structural diagram of a column under axial pressure in a method for determining the offset of a pressure-bearing section of the column based on axial pressure according to the present invention;
FIG. 4 is a diagram of a deformation test model in a method for determining the offset of a pressure-bearing section of a cylinder based on axial pressure according to the invention;
FIG. 5 is a block diagram of a system for determining an offset of a bearing section of a cylinder based on axial pressure according to the present invention.
In the drawings, the components represented by the respective reference numerals are listed below:
1. the device comprises a reaction frame, 2, an upper ejector rod, 3, a column body, 4, a dial indicator, 5, a base plate, 6 and a jack.
Detailed Description
The principles and features of this invention are described below in conjunction with the following drawings, which are set forth by way of illustration only and are not intended to limit the scope of the invention.
As shown in fig. 2, a method for determining cylinder offset based on axial pressure includes the steps of,
s1, fixedly distributing 3 detection points for detecting the axial deformation of the column body around the column body;
s2, loading axial pressure on the pressure-bearing section of the cylinder, and detecting the axial deformation of the cylinder by 3 detection points;
and S3, calculating the offset of the pressure point of the axial pressure relative to the surface center of the pressure-bearing section of the column body by using the axial deformation of the column body detected by the 3 detection points according to the calculation principle of the deformation of the column body under the eccentric axial pressure.
The method of the present invention further includes a step of calculating the elastic modulus of the column body from the axial deformation amount of the column body detected at the detection points, and in S3, the elastic modulus of the column body can be calculated from the deformation amounts of the column body detected at the 3 detection points based on the principle of calculation of the deformation amount of the pressure-receiving section of the column body. And determining the distance from the 3 detection points to the central axis of the cylinder.
In the method of the present invention, the pillar may be a rectangular pillar, a cylinder, or other pillars with regular shapes, and this embodiment is specifically described by taking the rectangular pillar as an example (when the pillar is a pillar with regular shapes, the relevant parameters will also adapt to changes).
According to the method for determining the offset of the pressure-bearing section of the cylinder based on the axial pressure, the offset between the face center of the pressure-bearing section of the cylinder and the pressure center of the axial pressure is automatically found through pressure testing of the cylinder, so that the position of the cylinder can be automatically adjusted by a computer, the automation and intelligence degree of cylinder detection are improved, each parameter can be read by the computer, and a data platform is automatically uploaded in real time.
Specifically, in this embodiment, first, the principle of material mechanics is utilized, and assuming that the internal structure of the cylinder is uniform, the center of the surface of the pressure-bearing section of the cylinder should be the pressure center of the axial pressure, and the deformation of each point is derived when the cylinder is pressed by the eccentric axial pressure, and in the high-class mathematics, under a tiny angle, the deformation of each point is derived
Figure BDA0001713537870000071
The trigonometric equation is simplified into a linear equation, and is basically derived as follows:
FIG. 3 is a schematic view of a cylinder (cuboid) under axial pressure, where a is the length of the cylinder, b is the width of the cylinder, h is the height of the cylinder, p is axial pressure, XaThe offset of the pressure center of the axial pressure relative to the surface center of the pressure-bearing section of the cylinder in the X direction, YbThe offset of the pressure center of the axial pressure relative to the surface center of the pressure-bearing section of the cylinder in the Y direction.
According to the parallel section assumption:
when the pressure center of the axial pressure deviates in the X direction relative to the surface center of the pressure-bearing section of the cylinder, the Z-direction displacement generated along each point in the X direction in the cylinder is as follows:
Figure BDA0001713537870000072
wherein X is the distance of the detection point relative to the surface center of the pressure-bearing section of the cylinder in the X direction, E is the elastic modulus of the cylinder, P is the axial pressure, h is the height of the cylinder, and X is the height of the cylinderaOffset of the pressure center of axial pressure relative to the center of the cylinder pressure-bearing section in the X direction, IyThe moment of inertia of the cylinder around the Y axis is represented as C, the constraint coefficient of the cylinder is more than 0 and less than or equal to 2, the optimal value range of C is more than or equal to 0.8 and less than or equal to 1.2, when two free ends of the cylinder are not constrained, the maximum value of C is 2, and when the two free ends of the cylinder are constrained to be larger, the value of C is smaller; and is
Figure BDA0001713537870000081
In other embodiments, when the cylinder is a cylinder,
Figure BDA0001713537870000082
wherein d is the diameter of the cylinder.
Similarly, when the center of pressure of the axial pressure deviates in the Y direction with respect to the center of surface of the pressure-bearing section of the column, the Z-direction displacement generated at each point in the Y direction in the column is:
Figure BDA0001713537870000083
wherein: y is the distance of the detection point relative to the surface center of the pressure-bearing section of the cylinder in the Y direction, E is the elastic modulus of the cylinder, P is the axial pressure, h is the height of the cylinder, and Y isbOffset of the pressure center of axial pressure relative to the surface center of the pressure-bearing section of the cylinder in the Y direction, IxIs the moment of inertia of the cylinder about the X-axis,c is the constraint coefficient of the cylinder, C is more than 0 and less than or equal to 2, the optimal value range of C is more than or equal to 0.8 and less than or equal to 1.2, when the two free ends of the cylinder are not constrained, the maximum value of C is 2, and when the two free ends of the cylinder are more constrained, the smaller the value of C is; and is
Figure BDA0001713537870000091
In other embodiments, when the cylinder is a cylinder,
Figure BDA0001713537870000092
wherein d is the diameter of the cylinder.
When the pressure center of the axial pressure is coincident with the face center of the pressure-bearing section of the cylinder, the displacement of each point in the cylinder in the Z direction is as follows:
Figure BDA0001713537870000093
wherein L is the effective height preset by the cylinder in the actual measurement process, P is the axial pressure, S is the sectional area of the cylinder, and
S=a×b (6-1)
in other embodiments, when the cylinder is a cylinder,
Figure BDA0001713537870000094
wherein d is the diameter of the cylinder.
Thus, the total deformation of any point in the column under axial pressure is:
ΔZ=ΔZX+ΔZY+ΔZZ(7)
FIG. 4 is a model diagram of deformation testing in the method for determining the offset of the bearing section of the column based on the axial pressure, wherein O is0-X0-Y0Axial pressure with pressure center as origin O0Fixed seatSystem of marks, O1-X1-Y1The cylinder takes the surface center of the pressure-bearing section as the origin O1The motion coordinate system of (2). The 3 detection points are located at fixed positions of the movable coordinate system, and the first, the second and the third in the figure 4 respectively represent the positions of the 3 detection points and respectively represent the detection point No. 1, the detection point No. 2 and the detection point No. 3. Axial pressure perpendicular to X0Axis and Y0Plane of axis and axial pressure through O0And (4) point. Assuming that the offset of the fixed coordinate system and the movable coordinate system in the X and Y directions is X respectivelyaAnd Y b3 detection points are positioned on a circle which takes an axis of the cylinder along the Z direction as a center and takes R as a radius, and the 3 detection points are opposite to O in a movable coordinate system1At X1The turning angles on the shaft are respectively: theta1,θ2,θ3
The deformation of the No. 1 detection point is as follows:
Figure BDA0001713537870000101
wherein R is1cosθ1And R1sinθ1The centroid O of the No. 1 detection point relative to the column body1At X1And Y1Distance in direction;
the deformation of the No. 2 detection point is:
Figure BDA0001713537870000102
wherein R is2cosθ2And R2cosθ2The centroid O of the No. 2 detection point relative to the column body1At X1And Y1Distance in direction;
the deformation of the No. 3 detection point is as follows:
Figure BDA0001713537870000103
wherein R is3cosθ3And R3sinθ3Detection point opposite column No. 3Centroid of body O1At X1And Y1The distance in the direction.
At present, the order is as follows:
X1=Xa
X2=Yb
X3=E
Figure BDA0001713537870000111
Figure BDA0001713537870000112
a13=-ΔZ1_0
Figure BDA0001713537870000113
Figure BDA0001713537870000114
Figure BDA0001713537870000115
a23=-ΔZ2-0
Figure BDA0001713537870000116
Figure BDA0001713537870000117
Figure BDA0001713537870000118
a33=-ΔZ3_0
Figure BDA0001713537870000119
equations (8) - (10) can be expressed as:
a11X1+a12X2+a13X3=b1(11)
a21X1+a22X2+a23X3=b2(12)
a31X1+a32X2+a33X3=b3(13)
wherein the content of the first and second substances,
X1、X2and X3As an unknown number, a11、a12、a13、b1、a21、a22、a23、b2、a31、a32、a33And b3Are known numbers, and thus it can be seen that there is exactly one set of three-element linear equations consisting of 3 unknowns and 3 equations, from which the deviations in the X and Y directions of the fixed and moving coordinate systems, respectively, can be solved as X1(i.e., X)a)、X2(i.e., Y)b) And modulus of elasticity X3(i.e., E).
By precise solution, the offset X in the X direction is calculatedaAnd an offset Y in the Y directionbProviding accurate basis for the computer to rapidly and automatically control the moving test block; moving the column to make the centroid of the column coincide with the pressure center of the axial pressure, and obtaining the detection values of 3 detection points again, wherein if the 3 values are close, the material in the column is uniform, and the surface center of the pressure-bearing section of the column coincides with the pressure center of the axial pressure; if the detection values of the 3 detection points have larger difference, the material in the cylinder is not uniform. The method of the invention can also accurately calculate the elastic modulus E of the column.
Based on the method for determining the offset of the cylinder based on the axial pressure, the invention also provides a system for determining the offset of the cylinder based on the axial pressure.
As shown in FIG. 5, a system for determining the offset of a cylinder based on axial pressure comprises a deformation amount detection module, an axial pressure loading module and a displacement calculation module,
the deformation detection module is used for fixedly distributing 3 detection points for detecting the axial deformation of the cylinder around the cylinder;
the axial pressure loading module is used for loading axial pressure on the pressure-bearing section of the cylinder, and the 3 detection points detect the axial deformation of the cylinder;
and the displacement calculation module is used for calculating the offset of the pressure point of the axial pressure relative to the surface center of the pressure-bearing section of the cylinder by using the axial deformation of the cylinder detected by the 3 detection points according to the calculation principle of the deformation of the cylinder under the eccentric axial pressure.
In the system for determining the offset of the column based on the axial pressure, provided by the embodiment of the invention, the offset in the X direction and the offset in the Y direction can be accurately calculated, an accurate basis is provided for a computer to quickly and automatically control the moving test block, and meanwhile, the elastic modulus can be accurately calculated.
The above description is only for the purpose of illustrating the preferred embodiments of the present invention and is not to be construed as limiting the invention, and any modifications, equivalents, improvements and the like that fall within the spirit and principle of the present invention are intended to be included therein.

Claims (10)

1. A method for determining the offset of a pressure-bearing section of a cylinder based on axial pressure is characterized by comprising the following steps: comprises the following steps of (a) carrying out,
s1, fixedly distributing 3 detection points for detecting the axial deformation of the column body around the column body;
s2, loading axial pressure on the pressure-bearing section of the column body, and detecting the axial deformation of the column body by 3 detection points;
and S3, calculating the offset of the pressure point of the axial pressure relative to the surface center of the pressure-bearing section of the column body by using the axial deformation of the column body detected by the 3 detection points according to the calculation principle of the deformation of the column body under the eccentric axial pressure.
2. The method for determining the offset of the bearing section of the cylinder based on the axial pressure as claimed in claim 1, wherein: the method also comprises a step of calculating the elastic modulus of the cylinder according to the axial deformation of the cylinder detected by the detection point.
3. A method for determining the offset of the bearing section of the cylinder based on the axial pressure according to claim 1 or 2, characterized in that: and determining the distance from the 3 detection points to the central axis of the cylinder.
4. The method for determining the offset of the bearing section of the cylinder based on the axial pressure as claimed in claim 3, wherein: the principle of calculating the deformation of the column body under the eccentric axial pressure in the S3 is as follows:
ΔZ=ΔZX+ΔZY+ΔZZ
wherein, Δ ZxWhen the pressure center of the axial pressure deviates in the X direction relative to the surface center of the pressure-bearing section of the cylinder, the cylinder generates Z-direction displacement along each point in the X direction; delta ZyWhen the pressure center of the axial pressure generates deviation in the Y direction relative to the surface center of the pressure-bearing section of the cylinder, Z-direction displacement is generated at each point in the Y direction in the cylinder; delta ZzIs the displacement of each point in the cylinder in the Z direction when the pressure center of the axial pressure is coincident with the face center of the pressure-bearing section of the cylinder.
5. The method for determining the offset of the bearing section of the cylinder based on the axial pressure is characterized in that:
Figure FDA0002647813710000021
wherein X is the distance of the detection point relative to the surface center of the pressure-bearing section of the cylinder in the X direction, E is the elastic modulus of the cylinder, P is the axial pressure, h is the height of the cylinder, and X is the height of the cylinderaOffset of the pressure center of axial pressure relative to the center of the cylinder pressure-bearing section in the X direction, IyIs the moment of inertia of the cylinder around the Y axis; c is the constraint coefficient of the cylinder, and C is 2;
when the column is a cuboid, the column is,
Figure FDA0002647813710000022
wherein a is the length of the column and b is the width of the column;
when the column body is a cylinder, the column body is,
Figure FDA0002647813710000023
wherein d is the diameter of the cylinder.
6. The method for determining the offset of the bearing section of the cylinder based on the axial pressure as claimed in claim 5, wherein: and X is R cos theta, wherein theta is the rotation angle of the detecting point on the shaft in the X direction relative to the surface center of the pressure-bearing section of the column body, and R is the distance from the detecting point to the central axis of the column body.
7. The method for determining the offset of the bearing section of the cylinder based on the axial pressure is characterized in that:
Figure FDA0002647813710000024
wherein Y is the distance of the detection point relative to the surface center of the pressure-bearing section of the cylinder in the Y direction, E is the elastic modulus of the cylinder, P is the axial pressure, h is the height of the cylinder, and Y is the height of the cylinderbOffset of the pressure center of axial pressure relative to the surface center of the pressure-bearing section of the cylinder in the Y direction, IxIs the moment of inertia of the column around the X axis; c is the constraint coefficient of the cylinder, and C is 2;
when the column is a cuboid, the column is,
Figure FDA0002647813710000031
wherein a is the length of the column and b is the width of the column;
when the column body is a cylinder, the column body is,
Figure FDA0002647813710000032
wherein d is the diameter of the cylinder.
8. The method for determining the offset of the bearing section of the cylinder based on the axial pressure as claimed in claim 7, wherein: and Y is R sin theta, wherein theta is the rotation angle of the detecting point on the shaft in the X direction relative to the surface center of the pressure-bearing section of the column body, and R is the distance from the detecting point to the central axis of the column body.
9. The method for determining the offset of the bearing section of the cylinder based on the axial pressure is characterized in that:
Figure FDA0002647813710000033
wherein L is an effective height preset by the cylinder in the actual measurement process, P is axial pressure, and S is the area of a pressure-bearing section of the cylinder;
when the column is a cuboid, the column is,
S=a×b,
wherein a is the length of the column and b is the width of the column;
when the column body is a cylinder, the column body is,
Figure FDA0002647813710000041
wherein d is the diameter of the cylinder.
10. The utility model provides a system for confirm cylinder pressure-bearing section offset based on axial pressure which characterized in that: comprises a deformation amount detection module, an axial pressure loading module and a displacement calculation module,
the deformation detection module is used for fixedly distributing 3 detection points for detecting the axial deformation of the cylinder around the cylinder;
the axial pressure loading module is used for loading axial pressure on the pressure-bearing section of the cylinder, and the 3 detection points detect the axial deformation of the cylinder;
and the displacement calculation module is used for calculating the offset of the pressure point of the axial pressure relative to the surface center of the pressure-bearing section of the cylinder by using the axial deformation of the cylinder detected by the 3 detection points according to the calculation principle of the deformation of the cylinder under the eccentric axial pressure.
CN201810696199.4A 2017-10-18 2018-06-29 Method and system for determining offset of pressure-bearing section of cylinder based on axial pressure Active CN109115602B (en)

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