Rectangular hidden frame panel unit structure sealant damage positioning method
By installing acceleration sensors and force hammers on the concealed frame glass curtain wall, collecting and calculating the acceleration frequency response function and curvature slope of the glass panel, the problem of difficulty in locating structural sealant damage in existing technologies is solved, and efficient and accurate damage identification and on-site maintenance guidance are achieved.
Patent Information
- Application Number
- CN202510004452.5
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2025-01-02
- Publication Date
- 2025-10-10
- Estimated Expiration
- 2045-01-02
AI Technical Summary
It is difficult to quickly and accurately locate the damaged position of the sealant in the concealed frame glass curtain wall structure with existing technology, resulting in the inability to repair it in time and posing a safety hazard.
An acceleration sensor and a force hammer are used in conjunction with a data acquisition instrument and a host computer. The excitation signal and response signal are obtained by knocking on the glass panel, and the acceleration frequency response function and curvature slope are calculated to identify the damage location of the structural sealant.
It can quickly and accurately locate structural sealant damage, simplify operations, provide on-site maintenance guidance, and improve detection efficiency and the accuracy of identification results.
Smart Images

Figure CN119827625B_ABST
Abstract
Description
TECHNICAL FIELD
[0001] The present application relates to the field of glass curtain wall detection, and in particular to a rectangular hidden frame panel unit structure sealant damage positioning method. BACKGROUND
[0002] In modern architecture, hidden frame glass curtain walls have become the primary choice for high-rise buildings due to their excellent lighting capabilities and elegant appearance. However, over time, the structural adhesive of hidden frame curtain walls can gradually degrade and be damaged due to long-term exposure to natural environmental factors such as rain and ultraviolet light. If this damage is not detected and repaired in a timely manner, it can pose a safety hazard.
[0003] Currently, damage detection techniques for structural sealants primarily rely on analyzing the dynamic characteristics and dynamic responses of glass panel units, such as identifying potential damage by identifying changes in frequency or mode shape of the panel units. Although this method can identify damage to the structural adhesive, it cannot identify the specific location of the damage and cannot provide guidance for maintenance in the field. In addition, some studies propose using neural networks to predict the location of damage, but these methods often require a large amount of data support and complex calculation processes, resulting in high costs and difficulty in rapid deployment in actual operations. SUMMARY
[0004] To solve the above problems, the present application provides a rectangular hidden frame panel unit structure sealant damage positioning method, which can accurately and quickly locate the damage, is simple to operate, and can meet the demand for rapid detection on site, specifically comprising:
[0005] A rectangular hidden frame panel unit structure sealant damage positioning method, comprising a damage positioning system, the damage positioning system comprising:
[0006] a support frame and a glass panel, the glass panel being installed on the support frame by a structural sealant, the periphery of the glass panel being adhered to the circumferential frame of the support frame, and the glass panel being arranged in a rectangular shape;
[0007] an acceleration sensor, the acceleration sensor being installed at the center point of the glass panel;
[0008] a force hammer, the force hammer being used to strike an excitation point on the glass panel;
[0009] a collection instrument, the collection instrument being electrically connected to the force hammer and the acceleration sensor;
[0010] a host computer, the host computer being connected to the collection instrument and receiving data from the collection instrument;
[0011] The method comprises:
[0012] The damage positioning system is constructed, the excitation points of each edge of the glass panel are determined, the position of the acceleration sensor is defined as a response point, and the excitation points of each edge of the glass panel are uniformly arranged;
[0013] The force hammer is driven to knock each excitation point on the glass panel in sequence clockwise or counterclockwise;
[0014] The excitation signal of the force hammer and the response signal of the acceleration sensor are collected by the collection instrument, and the collection instrument transmits the excitation signal of the force hammer and the response signal of the acceleration sensor to the upper computer;
[0015] The upper computer obtains the damage position of the structural sealant through the excitation signal of the force hammer and the response signal of the acceleration sensor.
[0016] Optionally, the upper computer obtains the damage position of the structural sealant through the excitation signal of the force hammer and the response signal of the acceleration sensor, and the method comprises the following steps:
[0017] The upper computer obtains the acceleration frequency response function of each excitation point on each edge of the glass panel at the position of the response point through the excitation signal of the force hammer and the response signal of the acceleration sensor;
[0018] The acceleration frequency response function of each excitation point on each edge of the glass panel at the position of the response point is obtained through the acceleration frequency response function of each excitation point on each edge of the glass panel at the position of the response point, and the arithmetic sum of the acceleration frequency response functions of each excitation point at the position of the response point is obtained.
[0019] The curvature size of the arithmetic sum of the acceleration frequency response functions of each excitation point at the position of the response point is calculated.
[0020] The slope between the curvatures of the arithmetic sums of the acceleration frequency response functions of adjacent two excitation points at the position of the response point is obtained through the curvature size of the arithmetic sum of the acceleration frequency response functions of each excitation point at the position of the response point, and the slope between the curvatures of the arithmetic sums of the acceleration frequency response functions of adjacent two excitation points at the position of the response point is defined as the slope between the curvatures of adjacent points.
[0021] The slope product of corresponding excitation points at the position of the measuring point on the opposite two edges of the glass panel is calculated according to the slope between the curvatures of the adjacent points.
[0022] Whether there is a damage position of the structural sealant is obtained according to the slope product of corresponding excitation points at the position of the measuring point on the opposite two edges of the glass panel, and if there is, the damage position of the structural sealant is obtained.
[0023] Optionally, the acceleration frequency response function of the excitation point on each edge of the glass panel at the position of the response point comprises:
[0024] The glass panel is defined to comprise four edges of a, b, c and d, wherein the edges of a and c are horizontal edges, and the edges of b and d are vertical edges;
[0025] The acceleration frequency response function of the excitation point on the edge a of the glass panel at the position of the response point is H ai , wherein subscript ai is the ith excitation point from left to right on the edge a, there are n excitation points on the edge a, i≤n, H ai ∈ set H′ an ;
[0026] The acceleration frequency response function of the excitation point on the edge b of the glass panel at the position of the response point is H bj , wherein subscript bj is the jth excitation point from top to bottom on the edge b, there are m excitation points on the edge b, j≤m, H bi ∈ set H′ bm ;
[0027] The acceleration frequency response function of the excitation point on the edge c of the glass panel at the position of the response point is H ck , wherein subscript ck is the kth excitation point from left to right on the edge c, there are n excitation points on the edge c, k≤n, H ck ∈ set H′ cn ;
[0028] The acceleration frequency response function of the excitation point on the edge d of the glass panel at the position of the response point is H dg , wherein subscript dg is the gth excitation point from top to bottom on the edge d, there are m excitation points on the edge d, g≤m, H di ∈ set H′ dm .
[0029] Optionally, the arithmetic sum of the acceleration frequency response function of each excitation point on each edge of the glass panel at the position of the response point comprises:
[0030] When calculating the arithmetic sum of the acceleration frequency response function of any excitation point at the position of the response point, the range of the calculation interval is Hz;
[0031] , wherein l is the length of the glass panel, w is the width of the glass panel, E g is the elastic modulus of the glass panel, υ is the Poisson's ratio, h g is the thickness of the glass panel, and ρ is the glass density of the glass panel;
[0032] Among them, in H′ an The set of arithmetic sums of each function in the calculation interval is S′ an ;
[0033] In H′ bm The set of arithmetic sums of each function in the calculation interval is S′ bm ;
[0034] In H′ cn The set of arithmetic sums of each function in the calculation interval is S′ cn ;
[0035] In H′ dm The set of arithmetic sums of each function in the calculation interval is S′ dm .
[0036] Optionally, the curvature of the arithmetic sum of the acceleration frequency response functions of each excitation point at the response point position includes:
[0037] When the excitation point is on edge a and 1<i<n, C ai =S ai-1 +S ai+1 -2S ai ;
[0038] Among them, C ai is the curvature of the acceleration frequency response function of the i-th excitation point from left to right on edge a at the response point;
[0039] S ai-1 is the arithmetic sum of the acceleration frequency response functions of the i-1th excitation point from left to right on the edge a at the response point within the calculation interval, S ai-1 ∈ set S′ an ;
[0040] S ai+1 is the arithmetic sum of the acceleration frequency response functions of the i+1th excitation point on the edge a from left to right at the response point within the calculation interval, S ai+1 ∈ set S′ an ;
[0041] S ai is the arithmetic sum of the acceleration frequency response functions of the i-th excitation point on the edge a from left to right at the response point within the calculation interval, S ai ∈ set S′ an ;
[0042] When the excitation point is on the edge b and 1<j<m, C bj =S bj-1 +S bj+1-2S bj ;
[0043] Among them, C bj is the curvature of the acceleration frequency response function of the j-th excitation point from top to bottom on edge b at the response point;
[0044] S bj-1 is the arithmetic sum of the acceleration frequency response functions of the j-1th excitation point from top to bottom on the b side at the response point within the calculation interval, S bj-1 ∈ set S′ bm ;
[0045] S bj+1 is the arithmetic sum of the acceleration frequency response functions of the j+1th excitation point from top to bottom on the b side at the response point within the calculation interval, S bj+1 ∈ set S′ bm ;
[0046] S bj is the arithmetic sum of the acceleration frequency response functions of the j-th excitation point from top to bottom on the b side at the response point within the calculation interval, S bj ∈ set S′ bm ;
[0047] When the excitation point is on the edge of c and 1<k<n, C ck =S ck-1 +S ck+1 -2S ck ;
[0048] Among them, C ck is the curvature of the acceleration frequency response function of the kth excitation point from left to right on the c side at the response point;
[0049] S ck-1 is the arithmetic sum of the acceleration frequency response functions of the k-1th excitation point from left to right on the c side at the response point within the calculation interval, S ck-1 ∈ set S′ cn ;
[0050] S ck+1 is the arithmetic sum of the acceleration frequency response functions of the k+1th excitation point from left to right on the c side at the response point within the calculation interval, S ck+1 ∈ set S′ cn ;
[0051] S ak is the arithmetic sum of the acceleration frequency response functions of the kth excitation point from left to right on the c side at the response point within the calculation interval, S ck ∈ set S′ cn ;
[0052] When the excitation point is on the edge of d and 1<g<m, C dg =S dg-1 +S dg+1 -2S dg ;
[0053] Among them, C dg is the curvature of the acceleration frequency response function of the g-th excitation point from top to bottom on the d-edge at the response point;
[0054] S dg-1 is the arithmetic sum of the acceleration frequency response functions of the g-1th excitation point from top to bottom on the d side at the response point within the calculation interval, S dg-1 ∈ set S′ dm ;
[0055] S dg+1 is the arithmetic sum of the acceleration frequency response functions of the g+1th excitation point from top to bottom on the d side at the response point within the calculation interval, S dg+1 ∈ set S′ dm ;
[0056] S dg is the arithmetic sum of the acceleration frequency response functions of the g-th excitation point from top to bottom on the d-side at the response point within the calculation interval, S dg ∈ set S′ dm .
[0057] Optionally, the step of calculating the curvature of the arithmetic sum of the acceleration frequency response functions of each excitation point at the response point further includes:
[0058] When the excitation point is on edge a and i = 1: C a1 =S d1 +S a2 -2S a1 ;
[0059] When the excitation point is on edge a and i=n: C an =S b1 +S an-1 -2S an ;
[0060] When the excitation point is on edge b and j = 1, C b1 =S an +S b2 -2S b1 ;
[0061] When the excitation point is on edge b and j = m, C bm =S cn +S bm-1 -2S bm ;
[0062] When the excitation point is on the c side and k = 1, C c1 = S dm + S c2 - 2S c1 ;
[0063] When the excitation point is on the c side and k = n, C cn = S bm + S cn-1 - 2S cn ;
[0064] When the excitation point is on the d side and g = 1, C d1 = S a1 + S d2 - 2S d1 ;
[0065] When the excitation point is on the d side and g = m, C dm = S c1 + S dm-1 - 2S dm .
[0066] Optionally, the slope between the curvatures of the acceleration frequency response functions of the two adjacent excitation points at the position of the response point is obtained by the curvature of the acceleration frequency response function of each excitation point at the position of the response point, comprising formulas (1) to (4):
[0067] K ai = C ai+1 - C ai ; (1)
[0068] Wherein, K ai is the slope between the curvatures of the acceleration frequency response functions of the i-th excitation point and the i+1-th excitation point from left to right on the a side at the position of the response point;
[0069] K bj = C bj+1 - C bj ; (2)
[0070] Wherein, K bj is the slope between the curvatures of the acceleration frequency response functions of the j-th excitation point and the j+1-th excitation point from top to bottom on the b side at the position of the response point;
[0071] K ck = C ak+1 - C ak ; (3)
[0072] Wherein, K ck is the slope between the curvatures of the acceleration frequency response functions of the k-th excitation point and the k+1-th excitation point from left to right on the c side at the position of the response point;
[0073] K dg =C dg+1 -C dg ; (4)
[0074] Among them, K dg It is the slope between the curvatures of the acceleration frequency response functions of the g-th excitation point and the g+1-th excitation point from top to bottom on the d-edge at the response point.
[0075] Optionally, the calculation of the product of the slopes of the corresponding excitation points at the measuring point positions on two opposite sides of the glass panel according to the slopes between the curvatures of the adjacent points includes formula (5) and formula (6):
[0076] K ai ×K ck ; (5)
[0077] Where i = k;
[0078] K bj ×K dg ; (6)
[0079] Where j = g.
[0080] Optionally, obtaining whether the structural sealant has a damage location based on the product of the slopes of the corresponding excitation points on two opposite sides of the glass panel at the measurement point position, and if so, obtaining the damage location of the structural sealant includes:
[0081] When K ai ×K ck >0, the structural sealant at the location of the corresponding excitation point is not damaged;
[0082] When K bj ×K dg >0, the structural sealant at the location of the corresponding excitation point is not damaged;
[0083] When K ai ×K ck <0, then the structural sealant at the location of the corresponding excitation point is abnormal: If |K ai |>|K ck |, then the structural sealant at the location of the excitation point on the edge a is damaged. If |K ai |<|K ck |, then the structural sealant at the location of the excitation point on edge c is damaged;
[0084] When K bj ×K dg <0, then the structural sealant at the location of the corresponding excitation point is abnormal: If |K bj |>|Kdg |, then the structural sealant at the location of the excitation point on the b side is damaged. If |K bj <|K dg |, then there is damage to the structural sealant at the location of the excitation point on the d side.
[0085] Optionally, when there are overlapping excitation points on side a and side d, the overlapping point of side a and side d is the first excitation point on side a from left to right, and the first point below the overlapping point of side a and side d is the first excitation point on side d from top to bottom;
[0086] When there are overlapping excitation points on side a and side b, the overlapping point on side a and side b is the nth excitation point on side a from left to right, and the first point below the overlapping point on side a and side b is the first excitation point on side b from top to bottom;
[0087] When there are overlapping excitation points on the c-side and the d-side, the overlapping point of the c-side and the d-side is the first excitation point on the c-side from left to right, and the first point above the overlapping point of the a-side and the d-side is the m-th excitation point on the d-side from top to bottom;
[0088] When there are overlapping excitation points on side c and side b, the overlapping point of side c and side b is the nth excitation point on side c from left to right, and the first point above the overlapping point of side c and side b is the mth excitation point on side b from top to bottom.
[0089] Compared with the prior art, the above technical solution has at least the following beneficial effects:
[0090] This method installs an accelerometer at the center of the glass panel, then uses a hammer to strike the glass panel on all sides, collecting excitation and response signals. The acceleration frequency response function of each excitation point is calculated based on the excitation and response signals. Each frequency response function is summed, and then the curvature of each excitation point is calculated based on the sum of the frequency response functions of adjacent excitation points on each edge. The slope between the curvatures of adjacent points on each edge is then calculated, and the abnormal area is determined by the positive or negative product of the slopes at corresponding positions on the edge. Within the abnormal area, the edge with damage is identified based on the absolute value of the slope, and the specific location of the damage on the edge is determined based on the extreme value of the slope. This method has high detection efficiency and accurate identification results for identifying the damaged location of structural sealants. It is also easy to operate and can provide maintenance guidance to on-site maintenance personnel. BRIEF DESCRIPTION OF THE DRAWINGS
[0091] In order to more clearly illustrate the technical solutions in the embodiments of the present invention, the following briefly introduces the drawings required for use in the description of the embodiments. Obviously, the drawings described below are only some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying any creative work.
[0092] Figure 1 is a schematic structural diagram of the damage localization system of the present invention;
[0093] Figure 2 is the excitation signal of the present invention;
[0094] Figure 3 is the response signal of the present invention;
[0095] Figure 4 A comparison diagram of the curvatures of the a-side and the c-side of the glass panel of the present invention;
[0096] Figure 5 1 is a comparison diagram of the curvatures of the b-side and the d-side of the glass panel of the present invention;
[0097] Figure 6 A comparison diagram of the curvature slopes of the a-side and the c-side of the glass panel of the present invention;
[0098] Figure 7 4 is a comparison diagram of the curvature slopes of the b side and the d side of the glass panel of the present invention.
[0099] Reference numerals:
[0100] 1-Support frame; 2-Structural sealant; 3-Glass panel; 4-Force hammer; 5-Acceleration sensor; 6-Collector; 7-Computer; 8-Damage location. DETAILED DESCRIPTION
[0101] To make the purpose, technical solutions, and advantages of the embodiments of the present invention more clear, the technical solutions of the embodiments of the present invention will be clearly and completely described below in conjunction with the accompanying drawings of the embodiments of the present invention. Obviously, the described embodiments are part of the embodiments of the present invention, not all of the embodiments. Based on the described embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.
[0102] Unless otherwise defined, the technical or scientific terms used in the present invention shall have the usual meaning understood by persons of ordinary skill in the field to which the present invention belongs. The words "first", "second" and similar terms used in the present invention do not indicate any order, quantity or importance, but are only used to distinguish different components. Similarly, words such as "one", "an" or "the" do not indicate a quantity limitation, but rather indicate the presence of at least one. Words such as "include" or "comprise" mean that the elements or objects preceding the word include the elements or objects listed after the word and their equivalents, without excluding other elements or objects. Words such as "connect" or "connected" are not limited to physical or mechanical connections, but may include electrical connections, whether direct or indirect.
[0103] It should be noted that the terms "up", "down", "left", "right", "front" and "back" used in the present invention are only used to indicate relative position relationships. When the absolute position of the object being described changes, the relative position relationship may also change accordingly.
[0104] like Figure 1 As shown, a method for locating damage to a sealant in a rectangular hidden frame panel unit structure includes a damage locating system, wherein the damage locating system includes:
[0105] A supporting frame and a glass panel, wherein the glass panel is mounted on the supporting frame by means of a structural sealant, and the periphery of the glass panel is correspondingly adhered to the peripheral frame of the supporting frame, and the glass panel is arranged in a rectangular shape;
[0106] an acceleration sensor mounted at the center of the glass panel;
[0107] A hammer, used to strike an excitation point on the glass panel;
[0108] A collector, the collector being electrically connected to the hammer and the acceleration sensor;
[0109] A host computer, the host computer is connected to the data collector and receives data from the data collector;
[0110] The main principle of the present application is: installing an acceleration sensor at the center point of the glass panel, then using a force hammer to knock around the glass panel, collecting the excitation signal and the response signal. According to the excitation signal and the response signal, the acceleration frequency response function of each excitation point is calculated, the sum of each frequency response function is calculated, then the curvature of each excitation point is calculated according to the sum of the frequency response functions of the adjacent excitation points on each edge. The slope between the curvatures of the adjacent points on each edge is calculated, and the positive and negative of the product of the slopes at the corresponding positions on the opposite edges determines the abnormal area. In the abnormal area, the edge where the damage exists is identified according to the absolute value of the slope, and the specific position of the damage on the edge is determined according to the extreme value of the slope. This method has the effect of high detection efficiency and accurate identification result for identifying the damage position of the structural sealant. And the operation is simple, which can provide maintenance guidance for on-site maintenance personnel.
[0111] The specific operation method includes:
[0112] S1, constructing the damage positioning system, determining the excitation points of each edge of the glass panel, defining the position of the acceleration sensor as the response point, and uniformly arranging the excitation points of each edge of the glass panel;
[0113] S2, driving the force hammer to knock each excitation point on the glass panel clockwise or counterclockwise;
[0114] S3, collecting the excitation signal of the force hammer and the response signal of the acceleration sensor by the acquisition instrument, and transmitting the excitation signal of the force hammer and the response signal of the acceleration sensor to the upper computer by the acquisition instrument;
[0115] S4, the upper computer obtains the damage position of the structural sealant through the excitation signal of the force hammer and the response signal of the acceleration sensor.
[0116] The specific operation of step S4 includes:
[0117] S401, the upper computer obtains the acceleration frequency response function of each excitation point on each edge of the glass panel at the response point position through the excitation signal of the force hammer and the response signal of the acceleration sensor;
[0118] S402, the arithmetic sum of the acceleration frequency response function of each excitation point on each edge of the glass panel at the response point position is obtained through the acceleration frequency response function of each excitation point on each edge of the glass panel at the response point position;
[0119] S403, the arithmetic sum of the acceleration frequency response function of each excitation point on each edge of the glass panel at the response point position is calculated, and the curvature of the arithmetic sum of the acceleration frequency response function of each excitation point at the response point position is calculated.
[0120] S404. Obtain the slope between the curvatures of the arithmetic sum of the acceleration frequency response functions of two adjacent excitation points at the response point based on the curvature of the arithmetic sum of the acceleration frequency response functions of each excitation point at the response point, and define the slope between the curvatures of the arithmetic sum of the acceleration frequency response functions of the two adjacent excitation points at the response point as the slope between the curvatures of adjacent points.
[0121] S405, calculating the product of the slopes of the corresponding excitation points on two opposite sides of the glass panel at the measuring point positions according to the slopes between the curvatures of the adjacent points;
[0122] S406 , determining whether the structural sealant has a damaged position based on the product of the slopes of the corresponding excitation points on two opposite sides of the glass panel at the measuring point position; if so, determining the damaged position of the structural sealant.
[0123] In the above process, the number of excitation points on each side is no less than 8, and the number of excitation points on the four sides is generally equal. The distance between two adjacent excitation points is equal, and the line connecting the excitation points on the same side is on a straight line.
[0124] In a specific embodiment, the acceleration frequency response function of the excitation point on each edge of the glass panel at the response point position in S401 includes:
[0125] The glass panel is defined as comprising four edges a, b, c and d, wherein edge a and edge c are horizontal edges, and edge b and edge d are vertical edges;
[0126] The acceleration frequency response function of the excitation point on the edge of the glass panel a at the response point is H ai , where the subscript ai is the i-th excitation point on edge a from left to right, and there are n excitation points on edge a, i≤n, H ai ∈ set H′ an ;
[0127] The acceleration frequency response function of the excitation point on the side b of the glass panel at the response point is H bj , where the subscript bj is the jth excitation point on the edge b from top to bottom, and there are m excitation points on the edge b, j≤m, H bi ∈ set H′ bm ;
[0128] The acceleration frequency response function of the excitation point on the c side of the glass panel at the response point is H ck , where the subscript ck is the kth excitation point from left to right on edge c, and there are n excitation points on edge c, k≤n, H ck ∈ set H′ cn ;
[0129] The acceleration frequency response function of the exciting point on the d edge of the glass panel at the position of the response point is H dg , wherein subscript dg is the gth exciting point from top to bottom on the d edge, there are m exciting points on the d edge, g≤m, H di ∈ set H' dm .
[0130] It is noted here that if the exciting points of different edges coincide, the following requirements are followed:
[0131] When the exciting points of the a edge and the d edge coincide, the coinciding point of the a edge and the d edge is the first exciting point from left to right on the a edge, and the first point below the coinciding point of the a edge and the d edge is the first exciting point from top to bottom on the d edge;
[0132] When the exciting points of the a edge and the b edge coincide, the coinciding point of the a edge and the b edge is the nth exciting point from left to right on the a edge, and the first point below the coinciding point of the a edge and the b edge is the first exciting point from top to bottom on the b edge;
[0133] When the exciting points of the c edge and the d edge coincide, the coinciding point of the c edge and the d edge is the first exciting point from left to right on the c edge, and the first point above the coinciding point of the a edge and the d edge is the mth exciting point from top to bottom on the d edge;
[0134] When the exciting points of the c edge and the b edge coincide, the coinciding point of the c edge and the b edge is the nth exciting point from left to right on the c edge, and the first point above the coinciding point of the c edge and the b edge is the mth exciting point from top to bottom on the b edge.
[0135] In a specific embodiment, the arithmetic sum of the acceleration frequency response functions of each exciting point of the glass panel at the position of the response point obtained in S402 includes:
[0136] When calculating the arithmetic sum of the acceleration frequency response function of any exciting point at the position of the response point, the calculation interval ranges from Hz;
[0137] , wherein l is the length of the glass panel, w is the width of the glass panel, E g is the elastic modulus of the glass panel, υ is the Poisson's ratio, h g is the thickness of the glass panel, and ρ is the glass density of the glass panel;
[0138] , wherein the arithmetic sum of each function in H' an in the calculation interval is set S' an ;
[0139] In H′ bm The set of arithmetic sums of each function in the calculation interval is S′ bm ;
[0140] In H′ cn The set of arithmetic sums of each function in the calculation interval is S′ cn ;
[0141] In H′ dm The set of arithmetic sums of each function in the calculation interval is S′ dm .
[0142] The calculation in step S402 is illustrated by an example. For example, in the set H′ an H inside a1 In the calculation interval The arithmetic sum of the a1 , set S′ an There are n arithmetic sums of the acceleration frequency response functions of the excitation points on side a at the response point. That is, the acceleration frequency response function of each excitation point on side a at the response point has a corresponding arithmetic sum within the interval. The arithmetic sums of the acceleration frequency response functions of the excitation points on other sides at the response point follow the same rules as those on side a.
[0143] In a specific implementation manner, the curvature of the arithmetic sum of the acceleration frequency response functions of each excitation point at the response point position in S403 includes:
[0144] When the excitation point is on edge a and 1<i<n, C ai =S ai-1 +S ai+1 -2S ai ;
[0145] Among them, C ai is the curvature of the acceleration frequency response function of the i-th excitation point from left to right on edge a at the response point;
[0146] S ai-1 is the arithmetic sum of the acceleration frequency response functions of the i-1th excitation point from left to right on the edge a at the response point within the calculation interval, S ai-1 ∈ set S′ an ;
[0147] S ai+1 is the arithmetic sum of the acceleration frequency response functions of the i+1th excitation point on the edge a from left to right at the response point within the calculation interval, S ai+1 ∈ set S′ an ;
[0148] Sai is the arithmetic sum of the acceleration frequency response functions of the i-th excitation point on the edge a from left to right at the response point within the calculation interval, S ai ∈ set S′ an ;
[0149] When the excitation point is on the edge b and 1<j<m, C bj =S bj-1 +S bj+1 -2S bj ;
[0150] Among them, C bj is the curvature of the acceleration frequency response function of the j-th excitation point from top to bottom on edge b at the response point;
[0151] S bj-1 is the arithmetic sum of the acceleration frequency response functions of the j-1th excitation point from top to bottom on the b side at the response point within the calculation interval, S bj-1 ∈ set S′ bm ;
[0152] S bj+1 is the arithmetic sum of the acceleration frequency response functions of the j+1th excitation point from top to bottom on the b side at the response point within the calculation interval, S bj+1 ∈ set S′ bm ;
[0153] S bj is the arithmetic sum of the acceleration frequency response functions of the j-th excitation point from top to bottom on the b side at the response point within the calculation interval, S bj ∈ set S′ bm ;
[0154] When the excitation point is on the edge of c and 1<k<n, C ck =S ck-1 +S ck+1 -2S ck ;
[0155] Among them, C ck is the curvature of the acceleration frequency response function of the kth excitation point from left to right on the c side at the response point;
[0156] S ck-1 is the arithmetic sum of the acceleration frequency response functions of the k-1th excitation point from left to right on the c side at the response point within the calculation interval, S ck-1 ∈ set S′ cn ;
[0157] S ck+1 is the arithmetic sum of the acceleration frequency response functions of the k+1th excitation point from left to right on the c side at the response point within the calculation interval, Sck+1 ∈ set S' cn ;
[0158] S ak is the arithmetic sum of the acceleration frequency response function of the kth excitation point from left to right on the c side at the position of the response point over the calculation interval, S ck ∈ set S' cn ;
[0159] C dg = S dg-1 + S dg+1 - 2S dg ;
[0160] wherein C dg is the curvature of the acceleration frequency response function of the gth excitation point from top to bottom on the d side at the position of the response point;
[0161] S dg-1 is the arithmetic sum of the acceleration frequency response function of the g-1th excitation point from top to bottom on the d side at the position of the response point over the calculation interval, S dg-1 ∈ set S' dm ;
[0162] S dg+1 is the arithmetic sum of the acceleration frequency response function of the g+1th excitation point from top to bottom on the d side at the position of the response point over the calculation interval, S dg+1 ∈ set S' dm ;
[0163] S dg is the arithmetic sum of the acceleration frequency response function of the gth excitation point from top to bottom on the d side at the position of the response point over the calculation interval, S dg ∈ set S' dm .
[0164] In another case:
[0165] C a1 = S d1 + S a2 - 2S a1 ;
[0166] C an = S b1 + S an-1 - 2S an ;
[0167] C b1 = S an + S b2-2S b1 ;
[0168] When the excitation point is on edge b and j = m, C bm =S cn +S bm-1 -2S bm ;
[0169] When the excitation point is on the edge of c and k = 1, C c1 =S dm +S c2 -2S c1 ;
[0170] When the excitation point is on the edge of c and k=n, C cn =S bm +S cn-1 -2S cn ;
[0171] When the excitation point is on the edge of d and g = 1, C d1 =S a1 +S d2 -2S d1 ;
[0172] When the excitation point is on the edge d and g = m, C dm =S c1 +S dm-1 -2S dm .
[0173] The interpretation of parameters related to the b-side, c-side, and d-side follows the rules for the a-side;
[0174] In the above case, the relevant parameters on the a side are interpreted as follows:
[0175] S d1 is the arithmetic sum of the acceleration frequency response functions of the first excitation point from top to bottom on the d side at the response point within the calculation interval;
[0176] S a2 is the arithmetic sum of the acceleration frequency response functions of the second excitation point from left to right on side a at the response point within the calculation interval;
[0177] S a1 is the arithmetic sum of the acceleration frequency response functions of the first excitation point from left to right on side a at the response point within the calculation interval;
[0178] C an is the curvature of the acceleration frequency response function of the nth excitation point from left to right on edge a at the response point;
[0179] S b1is the arithmetic sum of the acceleration frequency response functions of the first excitation point from top to bottom on side b at the response point within the calculation interval;
[0180] S an-1 is the arithmetic sum of the acceleration frequency response functions of the n-1th excitation point from left to right on edge a at the response point within the calculation interval;
[0181] S an It is the arithmetic sum of the acceleration frequency response functions of the nth excitation point from left to right on edge a at the response point within the calculation interval.
[0182] In a specific embodiment, the slope between the curvatures of the acceleration frequency response functions of two adjacent excitation points at the response point position is obtained by calculating the curvature of the acceleration frequency response function of each excitation point at the response point position in S4, including formulas (1) to (4):
[0183] K ai =C ai+1 -C ai ; (1)
[0184] Among them, K ai It is the slope between the curvatures of the acceleration frequency response functions of the i-th excitation point and the i+1-th excitation point at the response point on the edge a from left to right;
[0185] K bj =C bj+1 -C bj ; (2)
[0186] Among them, K bj It is the slope between the curvatures of the acceleration frequency response functions of the j-th excitation point and the j+1-th excitation point from top to bottom on edge b at the response point;
[0187] K ck =C ak+1 -C ak ; (3)
[0188] Among them, K ck It is the slope between the curvatures of the acceleration frequency response functions of the kth excitation point and the k+1th excitation point from left to right on the c side at the response point;
[0189] K dg =C dg+1 -C dg ; (4)
[0190] Among them, K dg It is the slope between the curvatures of the acceleration frequency response functions of the g-th excitation point and the g+1-th excitation point from top to bottom on the d-edge at the response point.
[0191] In a specific embodiment, the calculating the slope product of the corresponding excitation points on the two opposite edges of the glass panel at the measuring point position according to the slope between the curvatures of the adjacent points in S405 comprises formula (5) and formula (6):
[0192] K ai ×K ck ; (5)
[0193] wherein i=k;
[0194] K bj ×K dg ; (6)
[0195] wherein j=g.
[0196] In a specific embodiment, the obtaining the damage position of the structural sealant according to the slope product of the corresponding excitation points on the two opposite edges of the glass panel at the measuring point position comprises:
[0197] When K ai ×K ck > 0, the structural sealant at the position of the corresponding excitation point is not damaged;
[0198] When K bj ×K dg > 0, the structural sealant at the position of the corresponding excitation point is not damaged;
[0199] When K ai ×K ck < 0, the structural sealant at the position of the corresponding excitation point is abnormal: if |K ai | > |K ck |, the structural sealant at the position of the corresponding excitation point on the edge a is damaged, and if |K ai | < |K ck |, the structural sealant at the position of the corresponding excitation point on the edge c is damaged;
[0200] When K bj ×K dg < 0, the structural sealant at the position of the corresponding excitation point is abnormal: if |K bj | > |K dg |, the structural sealant at the position of the corresponding excitation point on the edge b is damaged, and if |K bj | < |K dg |, the structural sealant at the position of the corresponding excitation point on the edge d is damaged.
[0201] In this step, the principle followed is: determine the abnormal location by multiplying the slopes of the corresponding measuring points on the edge. When the slope product is positive, there is no abnormality in the area. When the slope product is negative, there is an abnormality in the area. The side with the larger absolute value of the slope is determined to be the side where the damage exists, and the area between the maximum and minimum values of the slope is the specific location of the damage on the side.
[0202] like Figures 1 to 7 As shown, first mark the four edges a, b, c, and d around the panel of the rectangular glass curtain wall unit to be detected, as shown in Figure 1 As shown. Then, each edge is divided into 40 excitation points, and an acceleration sensor is installed at the center point. Then, a hammer is used to strike each measuring point in a clockwise direction to collect the acceleration signal and hammer at the center point of the glass panel, as shown in the figure. Figure 2 and 3 As shown, the acceleration frequency response function of each measuring point is calculated based on the collected acceleration signal and hammer signal. This calculation method is an existing technology and will not be described in detail.
[0203] The glass panel to be tested is 1m long, 1m wide, and 0.006m thick. Therefore, the frequency range for calculating the sum of the frequency response functions is [0Hz, 220Hz]. Within this frequency range, calculate the sum of the frequency response functions for each measuring point.
[0204] Compare the frequency response functions of the corresponding measurement points on the symmetrical side, such as Figure 4 and 5 Then calculate the curvature slope of the adjacent points of each measuring point, as shown in Figure 6-7 As shown. And multiply the slopes on the opposite sides. Figure 6 In the case where the product of the slopes is a positive number, it is determined that the opposite side is undamaged; Figure 7 In the example, the slopes at positions 17-27 are multiplied to a negative value, indicating that they are abnormal locations. Subsequently, within the identified abnormal region, the absolute values of the slopes at each point on the edge are compared, revealing that the absolute value of the slope on edge B is larger, thus identifying it as a damaged edge. Within damaged edge B, the region between the maximum and minimum slopes is numbered 19-24, thus identifying this region as the specific location of the damage.
[0205] This method installs an acceleration sensor at the center point of the glass panel, and then uses a hammer to knock on the four sides of the glass panel to collect the excitation signal and response signal. The acceleration frequency response function of each excitation point is calculated based on the excitation signal and the response signal, and each frequency response function is summed. Then, the curvature of each excitation point is calculated based on the sum of the frequency response functions of the adjacent excitation points on each edge. The slope between the curvatures of adjacent points on each edge is then calculated, and the abnormal area is determined by the positive or negative product of the slopes at the corresponding positions on the edge. In the abnormal area, the edge where the damage exists is identified based on the absolute value of the slope, and the specific location of the damage on the edge is determined based on the extreme value of the slope. This method has high detection efficiency and accurate identification results for identifying the damage location of structural sealants. It is also easy to operate and can provide maintenance guidance for on-site maintenance personnel. This method can accurately and quickly locate damage, and it is simple to operate and can meet the needs of rapid on-site detection.
[0206] The following points need to be explained:
[0207] (1) The drawings of the embodiments of the present invention only relate to the structures related to the embodiments of the present invention. Other structures may refer to conventional designs.
[0208] (2) For the sake of clarity, the thickness of layers or regions in the drawings used to describe the embodiments of the present invention are exaggerated or reduced, that is, these drawings are not drawn to scale. It is understood that when an element such as a layer, film, region, or substrate is referred to as being "on" or "under" another element, the element may be "directly" "on" or "under" the other element or intervening elements may be present.
[0209] (3) In the absence of conflict, the embodiments of the present invention and the features therein may be combined with each other to form new embodiments.
[0210] The above are only specific embodiments of the present invention, but the protection scope of the present invention is not limited thereto. The protection scope of the present invention shall be based on the protection scope of the claims.
Claims
1. A method for locating sealant damage in a rectangular hidden frame panel unit structure, characterized in that: A damage localization system is included, wherein the damage localization system includes: A supporting frame and a glass panel, wherein the glass panel is mounted on the supporting frame by means of a structural sealant, and the periphery of the glass panel is correspondingly adhered to the peripheral frame of the supporting frame, and the glass panel is arranged in a rectangular shape; an acceleration sensor mounted at the center of the glass panel; A hammer, used to strike an excitation point on the glass panel; A collector, the collector being electrically connected to the hammer and the acceleration sensor; A host computer, the host computer is connected to the data collector and receives data from the data collector; The method comprises: Constructing the damage localization system, determining the excitation points on each side of the glass panel, defining the location of the acceleration sensor as the response point, and evenly setting the excitation points on each side of the glass panel; Driving the hammer clockwise or counterclockwise to strike each excitation point on the glass panel in sequence; The excitation signal of the hammer and the response signal of the acceleration sensor are collected by the acquisition instrument, and the acquisition instrument transmits the excitation signal of the hammer and the response signal of the acceleration sensor to a host computer; The host computer obtains the damage position of the structural sealant through the excitation signal of the hammer and the response signal of the acceleration sensor; The host computer obtains the damage position of the structural sealant through the excitation signal of the hammer and the response signal of the acceleration sensor, including: The host computer obtains the acceleration frequency response function of each excitation point on each edge of the glass panel at the response point position through the excitation signal of the hammer and the response signal of the acceleration sensor; Obtaining the arithmetic sum of the acceleration frequency response functions of each excitation point on each edge of the glass panel at the response point position through the acceleration frequency response function of each excitation point on each edge of the glass panel at the response point position; The arithmetic sum of the acceleration frequency response function of each excitation point on the glass panel at the response point position is calculated, and the curvature of the arithmetic sum of the acceleration frequency response function of each excitation point at the response point position is calculated; The slope between the curvatures of the arithmetic sum of the acceleration frequency response functions of two adjacent excitation points at the response point is obtained by the curvature of the arithmetic sum of the acceleration frequency response functions of each excitation point at the response point, and the slope between the curvatures of the arithmetic sum of the acceleration frequency response functions of the two adjacent excitation points at the response point is defined as the slope between the curvatures of adjacent points; Calculating the product of the slopes of the corresponding excitation points on two opposite sides of the glass panel at the measuring point positions according to the slopes between the curvatures of the adjacent points; According to the positive or negative value of the product of the slopes of the corresponding excitation points on the two opposite sides of the glass panel at the measuring point position, it is determined whether the structural sealant has a damaged position, and if so, the damaged position of the structural sealant is obtained.
2. The method for locating sealant damage in a rectangular hidden frame panel unit structure according to claim 1, characterized in that: The acceleration frequency response function of the excitation point on each edge of the glass panel at the response point position includes: The glass panel is defined as comprising four edges a, b, c and d, wherein edge a and edge c are horizontal edges, and edge b and edge d are vertical edges; The acceleration frequency response function of the excitation point on the edge of the glass panel a at the response point is H ai , where the subscript ai is the i-th excitation point on edge a from left to right, and there are n excitation points on edge a, i≤n, H ai ∈ set H′ an ; The acceleration frequency response function of the excitation point on the side b of the glass panel at the response point is H bj , where the subscript bj is the jth excitation point on the edge b from top to bottom, and there are m excitation points on the edge b, j≤m, H bi ∈ set H′ bm ; The acceleration frequency response function of the excitation point on the c side of the glass panel at the response point is H ck , where the subscript ck is the kth excitation point from left to right on edge c, and there are n excitation points on edge c, k≤n, H ck ∈ set H′ cn ; The acceleration frequency response function of the excitation point on the edge d of the glass panel at the response point is H dg , where the subscript dg is the g-th excitation point on the d-edge from top to bottom, and there are m excitation points on the d-edge, g≤m, H di ∈ set H′ dm .
3. The method for locating sealant damage in a rectangular hidden frame panel unit structure according to claim 2, characterized in that: The arithmetic sum of the acceleration frequency response functions of each excitation point on the glass panel at the response point position obtained by using the acceleration frequency response function of the excitation point on each edge of the glass panel at the response point position includes: When calculating the arithmetic sum of the acceleration frequency response function of any excitation point at the response point, the calculation range is The unit is Hz; Where l is the length of the glass panel, w is the width of the glass panel, E g is the elastic modulus of the glass panel, υ is the Poisson's ratio, h g is the thickness of the glass panel, ρ is the glass density of the glass panel; Among them, in H′ an The set of arithmetic sums of each function in the calculation interval is S′ an ; In H′ bm The set of arithmetic sums of each function in the calculation interval is S′ bm ; In H′ cn The set of arithmetic sums of each function in the calculation interval is S′ cn ; In H′ dm The set of arithmetic sums of each function in the calculation interval is S′ dm .
4. The method for locating sealant damage in a rectangular hidden frame panel unit structure according to claim 3, characterized in that: The curvature of the arithmetic sum of the acceleration frequency response function of each excitation point at the response point position includes: When the excitation point is on edge a and 1<i<n, C ai =S ai-1 +S ai+1 -2S ai ; Among them, C ai is the curvature of the acceleration frequency response function of the i-th excitation point from left to right on edge a at the response point; S ai-1 is the arithmetic sum of the acceleration frequency response functions of the i-1th excitation point from left to right on the edge a at the response point within the calculation interval, S ai-1 ∈ set S′ an ; S ai+1 is the arithmetic sum of the acceleration frequency response functions of the i+1th excitation point on the edge a from left to right at the response point within the calculation interval, S ai+1 ∈ set S′ an ; S ai is the arithmetic sum of the acceleration frequency response functions of the i-th excitation point on the edge a from left to right at the response point within the calculation interval, S ai ∈ set S′ an ; When the excitation point is on the edge b and 1<j<m, C bj =S bj-1 +S bj+1 -2S bj ; Among them, C bj is the curvature of the acceleration frequency response function of the j-th excitation point from top to bottom on edge b at the response point; S bj-1 is the arithmetic sum of the acceleration frequency response functions of the j-1th excitation point from top to bottom on the b side at the response point within the calculation interval, S bj-1 ∈ set S′ bm ; S bj+1 is the arithmetic sum of the acceleration frequency response functions of the j+1th excitation point from top to bottom on the b side at the response point within the calculation interval, S bj+1 ∈ set S′ bm ; S bj is the arithmetic sum of the acceleration frequency response functions of the j-th excitation point from top to bottom on the b side at the response point within the calculation interval, S bj ∈ set S′ bm ; When the excitation point is on the edge of c and 1<k<n, C ck =S ck-1 +S ck+1 -2S ck ; Among them, C ck is the curvature of the acceleration frequency response function of the kth excitation point from left to right on the c edge at the response point; S ck-1 is the arithmetic sum of the acceleration frequency response functions of the k-1th excitation point from left to right on the c side at the response point within the calculation interval, S ck-1 ∈ set S′ cn ; S ck+1 is the arithmetic sum of the acceleration frequency response functions of the k+1th excitation point from left to right on the c side at the response point within the calculation interval, S ck+1 ∈ set S′ cn ; S ak is the arithmetic sum of the acceleration frequency response functions of the kth excitation point from left to right on the c side at the response point within the calculation interval, S ck ∈ set S′ cn ; When the excitation point is on the edge of d and 1<g<m, C dg =S dg-1 +S dg+1 -2S dg ; Among them, C dg is the curvature of the acceleration frequency response function of the g-th excitation point from top to bottom on the d-edge at the response point; S dg-1 is the arithmetic sum of the acceleration frequency response functions of the g-1th excitation point from top to bottom on the d side at the response point within the calculation interval, S dg-1 ∈ set S′ dm ; S dg+1 is the arithmetic sum of the acceleration frequency response functions of the g+1th excitation point from top to bottom on the d side at the response point within the calculation interval, S dg+1 ∈ set S′ dm ; S dg is the arithmetic sum of the acceleration frequency response functions of the g-th excitation point from top to bottom on the d-edge at the response point within the calculation interval, S dg ∈ set S′ dm .
5. The method for locating sealant damage in a rectangular hidden frame panel unit structure according to claim 4, characterized in that: The calculation of the curvature of the arithmetic sum of the acceleration frequency response function of each excitation point at the response point also includes: When the excitation point is on edge a and i = 1: C a1 =S d1 +S a2 -2S a1 ; When the excitation point is on edge a and i=n: C an =S b1 +S an-1 -2S an ; When the excitation point is on edge b and j = 1, C b1 =S an +S b2 -2S b1 ; When the excitation point is on edge b and j = m, C bm =S cn +S bm-1 -2S bm ; When the excitation point is on the edge of c and k = 1, C c1 =S dm +S c2 -2S c1 ; When the excitation point is on the edge of c and k=n, C cn =S bm +S cn-1 -2S cn ; When the excitation point is on the edge of d and g = 1, C d1 =S a1 +S d2 -2S d1 ; When the excitation point is on the edge d and g = m, C dm =S c1 +S dm-1 -2S dm .
6. The method for locating sealant damage in a rectangular hidden frame panel unit structure according to claim 5, characterized in that: The slope between the curvatures of the acceleration frequency response functions of two adjacent excitation points at the response point is obtained by the curvature of the acceleration frequency response function of each excitation point at the response point, including formulas (1) to (4): K ai =C ai+1 -C ai ; (1) Among them, K ai It is the slope between the curvatures of the acceleration frequency response functions of the i-th excitation point and the i+1-th excitation point at the response point on the edge a from left to right; K bj =C bj+1 -C bj ; (2) Among them, K bj It is the slope between the curvatures of the acceleration frequency response functions of the j-th excitation point and the j+1-th excitation point from top to bottom on edge b at the response point; K ck =C ak+1 -C ak ; (3) Among them, K ck It is the slope between the curvatures of the acceleration frequency response functions of the kth excitation point and the k+1th excitation point from left to right on the c side at the response point; K dg =C dg+1 -C dg ; (4) Among them, K dg It is the slope between the curvatures of the acceleration frequency response functions of the g-th excitation point and the g+1-th excitation point from top to bottom on the d-edge at the response point.
7. The method for locating sealant damage in a rectangular hidden frame panel unit structure according to claim 6, characterized in that: The calculation of the product of the slopes of the corresponding excitation points on the two opposite sides of the glass panel at the measuring point positions based on the slopes between the curvatures of the adjacent points includes formula (5) and formula (6): K ai ×K ck ; (5) Where i = k; K bj ×K dg ; (6) Where j = g.
8. The method for locating sealant damage in a concealed frame panel unit structure according to claim 7, characterized in that: The determining whether the structural sealant has a damage location according to the product of the slopes of the excitation points corresponding to the two opposite sides of the glass panel at the measuring point position, and if so, determining the damage location of the structural sealant includes: When K ai ×K ck >0, the structural sealant at the location of the corresponding excitation point is not damaged; When K bj ×K dg >0, the structural sealant at the location of the corresponding excitation point is not damaged; When K ai ×K ck <0, then the structural sealant at the location of the corresponding excitation point is abnormal: If |K ai |>|K ck |, then the structural sealant at the location of the excitation point on the edge a is damaged. If |K ai |<|K ck |, then the structural sealant at the location of the excitation point on edge c is damaged; When K bj ×K dg <0, then the structural sealant at the location of the corresponding excitation point is abnormal: If |K bj |>|K dg |, then the structural sealant at the location of the excitation point on the b side is damaged. If |K bj <|K dg |, then there is damage to the structural sealant at the location of the excitation point on the d side.
9. The method for locating sealant damage in a concealed frame panel unit structure according to claim 2, characterized in that: When there are overlapping excitation points on side a and side d, the overlapping point of side a and side d is the first excitation point on side a from left to right, and the first point below the overlapping point of side a and side d is the first excitation point on side d from top to bottom; When there are overlapping excitation points on side a and side b, the overlapping point on side a and side b is the nth excitation point on side a from left to right, and the first point below the overlapping point on side a and side b is the first excitation point on side b from top to bottom; When there are overlapping excitation points on the c-side and the d-side, the overlapping point of the c-side and the d-side is the first excitation point on the c-side from left to right, and the first point above the overlapping point of the a-side and the d-side is the m-th excitation point on the d-side from top to bottom; When there are overlapping excitation points on side c and side b, the overlapping point of side c and side b is the nth excitation point on side c from left to right, and the first point above the overlapping point of side c and side b is the mth excitation point on side b from top to bottom.
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