Method for detecting stress condition of secondary spiral steel wire in bending state

Abstract

The invention provides a method for detecting the stress condition of a secondary spiral steel wire in a bending state. The method specifically comprises the following steps: selecting a steel wire rope with any twisting method and twisting direction; obtaining G according to parameters of the steel wire rope in the step 1; calculating a parameter M according to a twisting method of the steel wire rope and the parameter G; calculating coordinates of a secondary spiral steel wire according to parameters of the steel wire rope, a twisting method of the steel wire rope and the parameter M; and drawing a space diagram according to the secondary spiral steel wire coordinates. According to the stress analysis method for the secondary spiral steel wire, the problems that in the prior art, the geometrical shape of the secondary spiral steel wire is complex, and the stress condition of the steel wire rope in the bending state cannot be analyzed are solved.

Description

Technical Field

[0001] The invention belongs to the technical field of wire rope force detection methods, and in particular relates to a method for detecting the force condition of a secondary spiral steel wire in a bent state. Background Art

[0002] For circular strands and circular cross-section wire ropes, the structural parameters that can be calculated and output usually include the radius of the twist circle of the strands in the wire rope, the radius of the twist circle of the wires in the strands, the twist angle of the strands in the wire rope, the twist angle of the wires in the strands, etc. The stress of the secondary spiral steel wires in the outer strands of the wire rope has a significant impact on the stress of the wire rope. However, the stress of the wire rope is very complex. The metal products industry usually uses cross-sectional diagrams to express the geometric characteristics of the wire, and then analyzes the stress of the wire rope through the cross-section. However, the geometric shape of the secondary spiral steel wire is particularly complex, and the image of the wire cross-section cannot accurately express the geometric characteristics of the secondary spiral steel wire. Summary of the invention

[0003] The purpose of the present invention is to provide a method for detecting the stress condition of a secondary spiral steel wire in a bent state, thereby solving the problem in the prior art that the secondary spiral steel wire has a complex geometric shape and cannot fully detect the stress condition of the steel wire rope when it is bent.

[0004] The technical solution adopted by the present invention is a method for detecting the stress condition of a secondary spiral steel wire in a bent state, which specifically comprises the following steps:

[0005] Step 1, selecting a steel wire rope with any twisting method and twisting direction, obtaining the parameters and twisting method of the steel wire rope, and using the parameters of the steel wire rope to obtain the steel wire rope geometric parameters G;

[0006] Step 2, obtaining the wire rope structural parameter M according to the wire rope geometric parameter G obtained in step 1;

[0007] Step 3, obtaining the coordinates of the secondary helical steel wire according to the parameters of the steel wire rope in step 1, the steel wire rope structural parameter M, the lay length value and the steel wire rope rotation angle value obtained in step 2;

[0008] Step 4, draw three-view drawings and a spatial diagram according to the twisting method of the wire rope in step 1 and the coordinates of the secondary spiral wire obtained in step 3, and detect the stress condition of the wire rope in a bent state through the three-view drawings and the spatial diagram.

[0009] The present invention is also characterized in that:

[0010] The parameters of the steel wire rope are specifically: R, r, α and β, and the twisting method of the steel wire rope is: right alternating twist, left alternating twist, right same direction twist or left same direction twist;

[0011] R: Radius of the twisting circle of the strands in the wire rope;

[0012] r: radius of the twisting circle of the steel wire in the strand;

[0013] α: The twist angle of the steel wire in the strand;

[0014] β: The twist angle of the strands in the wire rope.

[0015] The specific calculation method of parameter G is shown in formula (1):

[0016] G=(Rtanα) / (rsinβ) (1)

[0017] In formula (1), G is the geometric parameter of the wire rope, R is the radius of the twist circle of the strand in the wire rope, r is the radius of the twist circle of the wire in the strand, α is the radian of the twist angle of the wire in the strand, and β is the radian of the twist angle of the strand in the wire rope.

[0018] The specific calculation method of parameter M is shown in formula (2):

[0019] M=qG+p (2)

[0020] In formula (2), M is the structural parameter of the wire rope, q is the strand twist coefficient, G is the geometric parameter of the wire rope, and p is the rope twist coefficient.

[0021] The specific calculation method of the coordinates of the secondary spiral wire is shown in formula (3):

[0022] x=rcos(MΦ)cos(pΦ)-rsin(MΦ)sin(pΦ)cosβ+Rcos(pΦ)(3)

[0023] y=rcos(MΦ)sin(pΦ)+rsin(MΦ)cos(pΦ)cosβ+Rsin(pΦ)(4)

[0024] z= -rsin(MΦ)sinβ + R(pΦ)cotβ (5)

[0025] In formulas (3), (4) and (5), x is the horizontal coordinate of any point on the secondary helical steel wire, y is the vertical coordinate of any point on the secondary helical steel wire, z is the vertical coordinate of any point on the secondary helical steel wire, r is the radius of the twist circle of the strand, M is the structural parameter of the wire rope, Φ is the rotation angle of the wire rope, in radians, p is the twist coefficient of the rope, if the strand is right-twisted, the value is +1, if the strand is left-twisted, the value is -1, β is right-twisted, the value is +1, if the strand is left-twisted, the value is -1, and R is the radius of the twist circle of the strand in the wire rope.

[0026] The method for drawing three views and spatial diagrams is: select x, y coordinates to draw the main view, select x, z coordinates to draw the top view, select y, z coordinates to draw the left view, and select x, y, z coordinates to draw the spatial diagram.

[0027] The sharp point in the three-view drawing and the spatial drawing is the stress point of the secondary spiral steel wire.

[0028] The beneficial effects of the present invention are:

[0029] The present invention provides a method for detecting the stress condition of a secondary spiral steel wire in a bending state. A secondary spiral steel wire graph is drawn according to the parameters of the steel wire rope, so that the secondary spiral steel wire is expressed by three views. In terms of geometric research on the secondary spiral steel wire, the geometric dimensions of the secondary spiral steel wire are quantitatively expressed. The stress condition of the steel wire rope can be intuitively detected through the three views of the secondary spiral steel wire. BRIEF DESCRIPTION OF THE DRAWINGS

[0030] Figure 1 This is a front view of a right-hand interlaced double helical steel wire embodiment 1 of the present invention,

[0031] Figure 2 1 is a top view of a right-hand interlaced secondary helical steel wire of Embodiment 1 of the present invention,

[0032] Figure 3 This is a left side view of a right-hand interlaced secondary helical steel wire embodiment 1 of the present invention,

[0033] Figure 4 It is a spatial diagram of the right-interlaced lay of the secondary helical steel wire embodiment 1 of the present invention.

[0034] Figure 5 This is a front view of a right-hand-laid embodiment 2 of a secondary helical steel wire of the present invention,

[0035] Figure 6 1 is a top view of a right-hand-laid embodiment 2 of a secondary helical steel wire of the present invention,

[0036] Figure 7 This is a left view of a right-hand-laid embodiment 2 of a secondary spiral steel wire of the present invention,

[0037] Figure 8 It is a spatial diagram of the right-hand same-direction twist of the secondary spiral steel wire embodiment 2 of the present invention. DETAILED DESCRIPTION

[0038] The present invention is described in detail below using specific implementation modes in conjunction with the accompanying drawings.

[0039] The method for detecting the stress condition of the secondary spiral steel wire in a bent state provided by the present invention specifically comprises the following steps:

[0040] Step 1, select a steel wire rope with any twist method and twist direction, the parameters of the steel wire rope are: R, r, α, β, the twisting method is: right alternating twist, left alternating twist, right same direction twist or left same direction twist; R: the twist circle radius of the strand in the steel wire rope, r: the twist circle radius of the steel wire in the strand, α: the twist angle radian of the steel wire in the strand, β: the twist angle radian of the strand in the steel wire rope.

[0041] Step 2: Calculate the parameter G according to the parameters of the wire rope in step 1. The specific calculation method is shown in formula (1):

[0042] G=(Rtanα) / (rsinβ) (1)

[0043] In formula (1), G is the geometric parameter of the wire rope, R is the radius of the twist circle of the strand in the wire rope, r is the radius of the twist circle of the wire in the strand, α is the radian of the twist angle of the wire in the strand, and β is the radian of the twist angle of the strand in the wire rope.

[0044] Step 3, according to the twisting method of the steel wire rope in step 1 and G obtained in step 2, the parameter M is obtained. The specific calculation method of the parameter M is shown in formula (2):

[0045] M=qG+p (2)

[0046] In formula (2), M is the structural parameter of the wire rope, q is the strand twist coefficient, G is the geometric parameter of the wire rope, and p is the rope twist coefficient.

[0047] Step 4, according to the parameters of the wire rope in step 1, the twisting method and the parameter M obtained in step 3, the coordinates of the secondary helical steel wire are obtained respectively. The specific calculation method of the coordinates of the secondary helical steel wire is shown in formula (3):

[0048] x=rcos(MΦ)cos(pΦ)-rsin(MΦ)sin(pΦ)cosβ+Rcos(pΦ) (3)

[0049] y=rcos(MΦ)sin(pΦ)+rsin(MΦ)cos(pΦ)cosβ+Rsin(pΦ) (4)

[0050] z= -rsin(MΦ)sinβ + R(pΦ)cotβ (5)

[0051] In formula (3), x is the horizontal coordinate of any point on the secondary helical wire, r is the radius of the twist circle of the wire in the strand, M is the structural parameter of the wire rope, Φ is the rotation angle of the wire rope, in radians, p is the twist coefficient of the rope, if the strand in the rope is right-twisted, take "+1", if the strand in the rope is left-twisted, take "-1", β is "+1" if the strand in the rope is right-twisted, and take "-1" if the strand in the rope is left-twisted.

[0052] In formula (4), y is the ordinate of any point on the secondary helical wire, r is the radius of the twist circle of the wire in the strand, M is the structural parameter of the wire rope, Φ is the rotation angle of the wire rope, in radians, p is the twist coefficient of the rope, if the strand in the rope is right-twisted, take "+1", if the strand in the rope is left-twisted, take "-1", β is "+1" if the strand in the rope is right-twisted, and take "-1" if the strand in the rope is left-twisted.

[0053] In formula (5), z is the vertical coordinate of any point on the secondary helical wire, r is the radius of the twist circle of the wire in the strand, M is the structural parameter of the wire rope, Φ is the rotation angle of the wire rope, in radians, p is the twist coefficient of the rope, if the strand in the rope is right-twisted, take "+1", if the strand in the rope is left-twisted, take "-1", β is "+1" if the strand in the rope is right-twisted, and take "-1" if the strand in the rope is left-twisted.

[0054] Step 5, select an integer number of lay lengths and determine the value range of Φ.

[0055] Step 6, draw a graph based on the value range of Φ determined in step 5, the twisting method of the wire rope, and equation (3) in step 4, select x, y coordinates to draw the main view, select x, z coordinates to draw the top view, and select y, z coordinates to draw the left view.

[0056] Step 7, draw a graph based on the value range of Φ determined in step 5, the wire rope twisting method, and equation (3) in step 4, and select x, y, and x coordinates to draw a spatial graph.

[0057] Example 1

[0058] Step 1, taking a right-hand alternate-lay wire rope as an example, the parameters of a certain specification of wire rope are designed to be R=36.00mm, r=9.00mm, α=22.30×π / 180, β=23.00×π / 180;

[0059] Step 2, using formula (1) to obtain parameter G = 4.20;

[0060] Step 3: In the right-hand intertwining, if the strands in the wire rope are twisted to the right, p is "+1", and if the strands are twisted to the left, q is "-1". According to the wire rope twisting method, the parameter M=-3.2 is obtained using formula (2);

[0061] Step 4, use formula (3) to obtain the corresponding coordinates of the secondary spiral wire:

[0062] x=9cos(-3.20Φ)cos(Φ)-9sin(-3.20Φ)sin(Φ)cos(0.401)+36cos(Φ)

[0063] y=9cos(-3.20Φ)sin(Φ)+9sin(-3.20Φ)cos(Φ)cos(0.401)+36sin(Φ)

[0064] z=-9sin(-3.20Φ)sin(0.401)+36Φcot(0.401)

[0065] Step 5, the lay length Φ of a wire rope is 0-2π. If 10 lay lengths are selected, then Φ is (0-2π)x10.

[0066] Step 6: Use formula (3) to plot within the range of Φ and select x and y coordinates to plot Figure 1 , select x and z coordinates to draw Figure 2 , select y and z coordinates to draw Figure 3 .

[0067] Step 7, select x, y, and z coordinates to draw a spatial diagram, see Figure 4 .

[0068] The greater the bending of the wire, the greater the force. The specific location of the force value can be detected based on the three-view drawing. Figure 1 Point A in Figure 2 Point B in Figure 3 Point C in the figure; according to the knowledge of mechanical drawing, they represent the same force point that should be paid attention to, that is, the space Figure 4 Point D in the figure, similar sharp points in the four figures should be paid attention to. Based on these four figures, it can be intuitively seen that there may be abnormal wire positions.

[0069] Example 2

[0070] Step 1, taking a right-hand lay steel wire rope as an example, the parameters of a steel wire rope of a certain specification are designed to be R=36.00mm, r=9.00mm, α=22.30×π / 180, β=23.00×π / 180;

[0071] Step 2, using formula (1) to obtain parameter G = 4.20;

[0072] Step 3: In the right-hand intertwining, if the strands in the wire rope are twisted to the right, p is "+1", and if the strands are twisted to the left, q is "-1". According to the wire rope twisting method, the parameter M=5.20 is obtained using formula (2);

[0073] Step 4, use formula (3) to obtain the corresponding coordinates of the secondary spiral wire:

[0074] x=9cos(5.20Φ)cos(Φ)-9sin(5.20Φ)sin(Φ)cos(0.401)+36cos(Φ)

[0075] y=9cos(5.20Φ)sin(Φ)+9sin(5.20Φ)cos(Φ)cos(0.401)+36sin(Φ)

[0076] z=-9sin(5.20Φ)sin(0.401)+36Φcot(0.401)

[0077] Step 5, the lay length Φ of a wire rope is 0-2π. If 10 lay lengths are selected, then Φ is (0-2π)x10.

[0078] Step 6: Use formula (3) to plot within the range of Φ and select x and y coordinates to plot Figure 5 , select x and z coordinates to draw Figure 6 , select y and z coordinates to draw Figure 7 .

[0079] Step 7, select x, y, and z coordinates to draw a spatial diagram, see Figure 8 .

[0080] The greater the bending of the wire, the greater the force. The specific location of the force value can be detected based on the three-view image. The observation point is the same as that in Example 1, so no explanation is given. Based on these four images, it can be seen that there may be abnormal wire locations.

[0081] Example 3

[0082] This embodiment provides a method for detecting the stress condition of a secondary spiral steel wire in a bent state, which specifically includes the following steps:

[0083] Step 1, selecting a steel wire rope with any twisting method and twisting direction, obtaining the parameters and twisting method of the steel wire rope, and using the parameters of the steel wire rope to calculate the steel wire rope geometric parameters G;

[0084] Step 2, calculating the wire rope structural parameter M according to the wire rope geometric parameter G in step 1;

[0085] Step 3, obtaining the coordinates of the secondary helical steel wire according to the parameters of the steel wire rope in step 1, the steel wire rope structural parameter M, the lay length value and the steel wire rope rotation angle value obtained in step 2;

[0086] Step 4, draw three-view drawings and a spatial diagram according to the twisting method of the wire rope in step 1 and the coordinates of the secondary spiral wire obtained in step 3, and detect the stress condition of the wire rope in a bent state through the three-view drawings and the spatial diagram.

[0087] Example 4

[0088] This embodiment provides a method for detecting the stress condition of a secondary spiral steel wire in a bent state, which specifically includes the following steps:

[0089] Step 1, selecting a steel wire rope with any twisting method and twisting direction, obtaining the parameters and twisting method of the steel wire rope, and using the parameters of the steel wire rope to calculate the steel wire rope geometric parameters G;

[0090] Step 2, calculating the wire rope structural parameter M according to the wire rope geometric parameter G in step 1;

[0091] Step 3, obtaining the coordinates of the secondary helical steel wire according to the parameters of the steel wire rope in step 1, the steel wire rope structural parameter M, the lay length value and the steel wire rope rotation angle value obtained in step 2;

[0092] Step 4, draw three-view drawings and a spatial diagram according to the twisting method of the wire rope in step 1 and the coordinates of the secondary spiral wire obtained in step 3, and detect the stress condition of the wire rope in a bent state through the three-view drawings and the spatial diagram.

[0093] The parameters of the steel wire rope are: R, r, α and β. The twisting method of the steel wire rope is: right alternating twist, left alternating twist, right same direction twist or left same direction twist;

[0094] R: Radius of the twisting circle of the strands in the wire rope;

[0095] r: radius of the twisting circle of the steel wire in the strand;

[0096] α: The twist angle of the steel wire in the strand;

[0097] β: The twist angle of the strands in the wire rope.

[0098] The specific calculation method of parameter G is shown in formula (1):

[0099] G=(Rtanα) / (rsinβ) (1)

[0100] In formula (1), G is the geometric parameter of the wire rope, R is the radius of the twist circle of the strand in the wire rope, r is the radius of the twist circle of the wire in the strand, α is the radian of the twist angle of the wire in the strand, and β is the radian of the twist angle of the strand in the wire rope.

[0101] The specific calculation method of parameter M is shown in formula (2):

[0102] M=qG+p (2)

[0103] In formula (2), M is the structural parameter of the wire rope, q is the strand twist coefficient, G is the geometric parameter of the wire rope, and p is the rope twist coefficient.

[0104] The specific calculation method of the coordinates of the secondary spiral wire is shown in formula (3):

[0105] x=rcos(MΦ)cos(pΦ)-rsin(MΦ)sin(pΦ)cosβ+Rcos(pΦ)(3)

[0106] y=rcos(MΦ)sin(pΦ)+rsin(MΦ)cos(pΦ)cosβ+Rsin(pΦ)(4)

[0107] z= -rsin(MΦ)sinβ + R(pΦ)cotβ (5)

[0108] In formulas (3), (4) and (5), x is the horizontal coordinate of any point on the secondary helical steel wire, y is the vertical coordinate of any point on the secondary helical steel wire, z is the vertical coordinate of any point on the secondary helical steel wire, r is the radius of the twist circle of the strand, M is the structural parameter of the wire rope, Φ is the rotation angle of the wire rope, in radians, p is the twist coefficient of the rope, if the strand is right-twisted, the value is +1, if the strand is left-twisted, the value is -1, β is right-twisted, the value is +1, if the strand is left-twisted, the value is -1, and R is the radius of the twist circle of the strand in the wire rope.

[0109] The method for drawing three views and spatial diagrams is: select x, y coordinates to draw the main view, select x, z coordinates to draw the top view, select y, z coordinates to draw the left view, and select x, y, z coordinates to draw the spatial diagram.

[0110] The sharp point in the three-view drawing and the spatial drawing is the stress point of the secondary spiral steel wire.

Claims

1. A method for detecting the stress condition of a secondary spiral steel wire in a bent state, characterized in that: The specific steps include: Step 1, selecting a steel wire rope with any twisting method and twisting direction, obtaining the parameters and twisting method of the steel wire rope, and using the parameters of the steel wire rope to calculate the steel wire rope geometric parameters G; Step 2, calculating the wire rope structural parameter M according to the wire rope geometric parameter G in step 1; Step 3, obtaining the coordinates of the secondary helical steel wire according to the parameters of the steel wire rope in step 1, the steel wire rope structural parameter M, the lay length value and the steel wire rope rotation angle value obtained in step 2; Step 4, draw three-view drawings and a spatial diagram according to the twisting method of the wire rope in step 1 and the coordinates of the secondary spiral wire obtained in step 3, and detect the stress condition of the wire rope in a bent state through the three-view drawings and the spatial diagram.

2. The method for detecting the stress condition of a secondary spiral steel wire in a bent state according to claim 1, characterized in that: The parameters of the steel wire rope are specifically: R, r, α and β, and the twisting method of the steel wire rope is: right alternating twist, left alternating twist, right same-direction twist or left same-direction twist; R: Radius of the twisting circle of the strands in the wire rope; r: radius of the twisting circle of the steel wire in the strand; α: The twist angle of the steel wire in the strand; β: The twist angle of the strands in the wire rope.

3. The method for detecting the stress condition of the secondary spiral steel wire in a bent state according to claim 2, characterized in that: The specific calculation method of the parameter G is shown in formula (1): G = (Rtanα) / (rsinβ) (1) In formula (1), G is the geometric parameter of the wire rope, R is the radius of the twist circle of the strand in the wire rope, r is the radius of the twist circle of the wire in the strand, α is the radian of the twist angle of the wire in the strand, and β is the radian of the twist angle of the strand in the wire rope.

4. The method for detecting the stress condition of the secondary spiral steel wire in a bent state according to claim 3, characterized in that: The specific calculation method of the parameter M is shown in formula (2): M=qG+p(2) In formula (2), M is the structural parameter of the wire rope, q is the strand twist coefficient, G is the geometric parameter of the wire rope, and p is the rope twist coefficient.

5. The method for detecting the stress condition of a secondary spiral steel wire in a bent state according to claim 4, characterized in that: The specific calculation method of the coordinates of the secondary spiral steel wire is shown in formula (3): x=rcos(MΦ)cos(pΦ)-rsin(MΦ)sin(pΦ)cosβ+Rcos(pΦ)(3) y=rcos(MΦ)sin(pΦ)+rsin(MΦ)cos(pΦ)cosβ+Rsin(pΦ)(4) z=-rsin(MΦ)sinβ+R(pΦ)cotβ(5) In formulas (3), (4) and (5), x is the horizontal coordinate of any point on the secondary helical wire, y is the vertical coordinate of any point on the secondary helical wire, z is the vertical coordinate of any point on the secondary helical wire, r is the radius of the twist circle of the strand, M is the structural parameter of the wire rope, Φ is the rotation angle of the wire rope, in radians, p is the twist coefficient of the rope, if the strand is right-twisted, take "+1", if the strand is left-twisted, take "-1", β is "+1" if the strand is right-twisted, take "-1" if the strand is left-twisted, and R is the radius of the twist circle of the strand in the wire rope.

6. The method for detecting the stress condition of a secondary spiral steel wire in a bent state according to claim 5, characterized in that: The method for drawing the three views and the spatial diagram is: selecting x, y coordinates to draw the main view, selecting x, z coordinates to draw the top view, selecting y, z coordinates to draw the left view, and selecting x, y, z coordinates to draw the spatial diagram.

7. The method for detecting the stress condition of a secondary spiral steel wire in a bent state according to claim 6, characterized in that: The cusp in the three-view drawing and the spatial drawing is the stress point of the secondary spiral steel wire.

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