A large-lift side ratio mold half balance structure with low temperature influence

Abstract

A large-lift-side-ratio half-mould balance structure with low temperature influence belongs to the technical field of wind tunnel test, and aims to solve the problem of the decline of force measurement accuracy caused by the temperature influence on the existing half-mould balance.The free part, the middle reinforcing table and the fixed part are coaxially and spacedly arranged from top to bottom, the free part and the middle reinforcing table are connected through upper balance elements, the middle reinforcing table and the fixed part are connected through lower balance elements, the upper balance elements include four multi-piece support beams and two T-shaped measuring beams, the multi-piece support beam is composed of a plurality of rectangular thin sheets with opposite end faces and arranged in left and right intervals, the T-shaped measuring beam includes a first vertical beam and a thin sheet disturbance horizontal beam arranged on the left and right, and the upper end of the first vertical beam is connected with the middle part of the thin sheet disturbance horizontal beam.The length-width ratio of the rectangular thin sheet can be adjusted to change the longitudinal and transverse stiffness ratio of the multi-piece support beam, so as to amplify the lateral force strain output of the T-shaped measuring beam and avoid the influence of temperature on the measurement result.

Description

TECHNICAL FIELD

[0001] The application belongs to the technical field of wind tunnel test, and particularly relates to a large-lift-to-drag ratio half-model balance structure with low temperature influence. BACKGROUND

[0002] In wind tunnel test, force measurement is the most basic test item, and the half-model force test balance is larger in size than the full-model force test balance, is more accurate in shape simulation, is not interfered by the full-model tail support and abdominal support in a longitudinal symmetrical support mode, and is widely applied.

[0003] In half-model force test, the half-model balance is a direct measurement device of aerodynamic load, and the accuracy of the balance is a key to providing high-quality aerodynamic data. When applied in a continuous wind tunnel, due to the large size and heavy weight of the model and long blowing time, the temperature of the incoming flow is increased due to the heat generated by the wind tunnel equipment, the accuracy of the force measurement is reduced due to the influence of the temperature on the balance. Meanwhile, the load of the new aircraft test is more mismatched, the half-model balance is installed along the span direction, and therefore the lift-to-drag ratio (the measurement ratio of lift and drag) of the model is converted into the lift-to-drag ratio (the measurement ratio of lift and drag) of the balance. The lift-to-drag ratio in the conventional balance design is less than or equal to 5, while the lift-to-drag ratio in the current part of the wind tunnel test is greater than or equal to 40, and therefore it is urgent to develop a half-model balance with low temperature influence and large lift-to-drag ratio. SUMMARY

[0004] The application aims to provide a half-model balance structure with low temperature influence and large lift-to-drag ratio, so as to solve the problems of small lift-to-drag ratio of the existing half-model balance and reduced accuracy of force measurement due to temperature influence. The technical scheme adopted by the application is as follows.

[0005] A half-model balance structure with low temperature influence and large lift-to-drag ratio, comprising a free part, a middle reinforcing table and a fixed part which are coaxially and spaced apart from top to bottom, wherein the free part, the middle reinforcing table and the fixed part are all provided with through inner holes along the axis, the free part is composed of a free end connecting flange, a first straight section and an upper reinforcing table which are sequentially connected from top to bottom, and the fixed part is composed of a lower reinforcing table, a second straight section and a fixed end connecting flange which are sequentially and coaxially connected from top to bottom.

[0006] The upper balance element includes four multi-piece support beams and two T-shaped measuring beams. The multi-piece support beams consist of several rectangular thin plates with opposite end faces and spaced apart. The T-shaped measuring beams include a first vertical beam and thin plate interference-eliminating crossbeams arranged on the left and right. The upper end of the first vertical beam is connected to the middle of the thin plate interference-eliminating crossbeams. The upper reinforcing platform and the middle reinforcing platform are both rectangular plate structures. The four corners of the upper reinforcing platform correspond one-to-one with the four corners of the middle reinforcing platform and are connected by a set of multi-piece support beams. The two ends of the thin plate interference-eliminating crossbeams of one T-shaped measuring beam are respectively connected to the front side of the upper reinforcing platform and the first... The lower end of the vertical beam is connected to the front side of the middle reinforcing platform. The two ends of the thin sheet noise-eliminating crossbeam of another T-shaped measuring beam are connected to the rear side of the upper reinforcing platform, and the lower end of the first vertical beam is connected to the rear side of the middle reinforcing platform. The lower balance element includes a first measuring element group and a second measuring element group. Both the first measuring element group and the second measuring element group are composed of several balance vertical beams. The front and rear sides of the middle reinforcing platform are connected to the front and rear sides of the lower reinforcing platform through the first measuring element group. The left and right sides of the middle reinforcing platform are connected to the left and right sides of the lower reinforcing platform through the second measuring element group.

[0007] Furthermore, the lower end of the upper reinforcing platform is provided with a rectangular boss, and four multi-piece support beams are arranged on the left and right sides of the boss. Slots are provided on both the front and rear sides of the lower edge of the boss. The thin plate interference-eliminating crossbeam of the T-shaped measuring beam is located in the corresponding slot, and the two ends of the thin plate interference-eliminating crossbeam are connected to the side walls of the slot.

[0008] Furthermore, the length of the first straight section is greater than or equal to twice the thickness of the free end connecting flange.

[0009] Furthermore, the length of the second straight section is greater than or equal to twice the thickness of the fixed end connecting flange.

[0010] Furthermore, the semi-mold balance is integrally formed, and the sum of the lateral forces borne by the first measuring element group is set to be... F z, then we have ;

[0011] In the formula: The lateral force borne by each rectangular sheet. The lateral force borne by each first vertical beam is m, where m is the number of rectangular plates in each group of multi-plate support beams.

[0012] The vertical distance between the two ends of the rectangular sheet is defined as the length. L 1. The distance between the front and back ends is the width. h 1. The distance between the left and right ends is the thickness. b 1. The vertical distance between the two ends of the first vertical beam is the length. L 2. The distance between the front and rear ends is the width. h 2. The distance between the left and right ends is the thickness. b 2, then L 1 andL 2 meets the following relationship:

[0013] ;

[0014] In the formula:

[0015] E is the elastic modulus of the material of the upper beam element;

[0016] L is the distance between the front and back ends of the sheet disturbance beam;

[0017] A is the cross-sectional area of the sheet disturbance beam;

[0018] I is the cross-sectional moment of inertia of the rectangular sheet;

[0019] I1 is the cross-sectional moment of inertia of the first vertical beam;

[0020] I is the cross-sectional moment of inertia of the rectangular sheet calculated by the following formula:

[0021] ;

[0022] I1 is the cross-sectional moment of inertia of the first vertical beam calculated by the following formula:

[0023] .

[0024] Further, the first measurement element group is composed of four second vertical beams and four third vertical beams, the four second vertical beams are arranged in two rows front and back and two columns left and right, two third vertical beams arranged front and back form a group, the four third vertical beams are divided into two groups, and the two groups of third vertical beams are arranged on the left and right sides of the four fourth vertical beams;

[0025] The second measurement element group is composed of four fourth vertical beams and two fifth vertical beams, the four fourth vertical beams are arranged in two rows front and back and two columns left and right, and the two fifth vertical beams are arranged on the front and back sides of the four fourth vertical beams.

[0026] Further, in the first measurement element group on the front side, the second vertical beam in the front row left column is marked as No. 1 column, the second vertical beam in the front row right column is marked as No. 2 column, the third vertical beam on the left front end is marked as No. 3 column, and the third vertical beam on the right front end is marked as No. 4 column;

[0027] In the second measurement element group on the left side, the fourth vertical beam in the front row left column is marked as No. 5 column, the fourth vertical beam in the back row left column is marked as No. 6 column, the fifth vertical beam on the front end is marked as No. 7 column, and the fifth vertical beam on the back end is marked as No. 8 column.

[0028] In the second measuring element group on the right side, mark the fourth vertical beam in the front row of the right column as No. 9 column beam, mark the fourth vertical beam in the rear row of the right column as No. 10 column beam, mark the fifth vertical beam at the front end in the second measuring element group on the right side as No. 11 column beam, and mark the fifth vertical beam at the rear end as No. 12 column beam;

[0029] In the first measuring element group on the rear side, mark the second vertical beam in the rear row of the left column as No. 13 column beam, mark the second vertical beam in the rear row of the right column as No. 14 column beam, mark the third vertical beam at the rear end on the left side as No. 15 column beam, and mark the third vertical beam at the rear end on the right side as No. 16 column beam;

[0030] Paste a first lift force strain gauge on the front side top of No. 1 column beam, paste a second lift force strain gauge on the front side top of No. 2 column beam, paste a fifth lift force strain gauge on the front side bottom of No. 1 column beam, paste a sixth lift force strain gauge on the front side bottom of No. 2 column beam, paste a third lift force strain gauge on the rear side top of No. 13 column beam, paste a fourth lift force strain gauge on the rear side top of No. 14 column beam, paste a seventh lift force strain gauge on the rear side bottom of No. 13 column beam, and paste an eighth lift force strain gauge on the rear side bottom of No. 14 column beam, the first, second, third and fourth lift force strain gauges are connected in series to form a first normal force bridge, and the fifth, sixth, seventh and eighth lift force strain gauges are connected in series to form a second normal force bridge;

[0031] Paste a first roll moment strain gauge and a second roll moment strain gauge on the front side top of No. 11 column beam, paste a third roll moment strain gauge and a fourth roll moment strain gauge on the front side top of No. 7 column beam, paste a fifth roll moment strain gauge and a sixth roll moment strain gauge on the rear side top of No. 8 column beam, and paste a seventh roll moment strain gauge and an eighth roll moment strain gauge on the rear side top of No. 12 column beam, the first, second, seventh and eighth roll moment strain gauges are connected in series to form a first roll moment bridge, and the third, fourth, fifth and sixth roll moment strain gauges are connected in series to form a second roll moment bridge;

[0032] A first yawing moment strain gauge is attached to the middle of the left side of the sixth column beam, a second yawing moment strain gauge is attached to the middle of the left side of the fifth column beam, a third yawing moment strain gauge is attached to the middle of the front side of the seventh column beam, a fourth yawing moment strain gauge is attached to the middle of the front side of the eleventh column beam, a fifth yawing moment strain gauge is attached to the middle of the right side of the tenth column beam, a sixth yawing moment strain gauge is attached to the middle of the right side of the ninth column beam, a seventh yawing moment strain gauge is attached to the middle of the back side of the eighth column beam, and an eighth yawing moment strain gauge is attached to the middle of the back side of the twelfth column beam, the first, second, third, and seventh yawing moment strain gauges are connected in series to form a first yawing moment electric bridge, and the fourth, fifth, sixth, and eighth yawing moment strain gauges are connected in series to form a second yawing moment electric bridge;

[0033] A first pitching moment strain gauge is attached to the middle of the front side of the first column beam, a second pitching moment strain gauge is attached to the middle of the front side of the second column beam, a third pitching moment strain gauge is attached to the middle of the front side of the fourth column beam, a fourth pitching moment strain gauge is attached to the middle of the front side of the third column beam, a fifth pitching moment strain gauge is attached to the middle of the back side of the thirteenth column beam, a sixth pitching moment strain gauge is attached to the middle of the back side of the fourteenth column beam, a seventh pitching moment strain gauge is attached to the middle of the back side of the sixteenth column beam, and an eighth pitching moment strain gauge is attached to the middle of the back side of the fifteenth column beam, the first, second, third, and fourth pitching moment strain gauges are connected in series to form a first pitching moment electric bridge, and the fifth, sixth, seventh, and eighth pitching moment strain gauges are connected in series to form a second pitching moment electric bridge;

[0034] A first lateral force strain gauge and a third lateral force strain gauge are attached to the bottom of the left side of the rear first vertical beam, a second lateral force strain gauge and a fourth lateral force strain gauge are attached to the bottom of the right side of the rear first vertical beam, a fifth lateral force strain gauge and a seventh lateral force strain gauge are attached to the left side of the front first vertical beam, and a sixth lateral force strain gauge and an eighth lateral force strain gauge are attached to the right side of the front first vertical beam, the first, second, third, and fourth lateral force strain gauges are connected in series to form a first lateral force electric bridge, and the fifth, sixth, seventh, and eighth lateral force strain gauges are connected in series to form a second lateral force electric bridge;

[0035] The length of all the vertical beams in the lower balance element The cross-sectional area All satisfy the following formula:

[0036] ;

[0037] In the formula:

[0038] the internal heat flow of the balance vertical beam;

[0039] the top end temperature of the balance vertical beam;

[0040] the bottom end temperature of the balance vertical beam;

[0041] the material thermal conductivity coefficient of the balance vertical beam;

[0042] The strain gauges pasted on the first vertical beam, the second vertical beam, the third vertical beam, the fourth vertical beam and the fifth vertical beam are collectively referred to as balance strain gauges, the distance between the pasting position of the balance strain gauges and the lower end of the corresponding balance vertical beam is defined as the pasting height of the balance strain gauges, when the four balance strain gauges of any electric bridge are pasted on the balance vertical beams with the same outer size, the pasting height of the balance strain gauges is consistent; when the four balance strain gauges of any electric bridge are pasted on two kinds of balance vertical beams with different outer sizes, the two kinds of balance vertical beams with different outer sizes are respectively referred to as the first size vertical beam and the second size vertical beam, the length of the first size vertical beam is actually , the length of the second size vertical beam is actually , the pasting height of the balance strain gauges on the first size vertical beam is set as , and the pasting height of the balance strain gauges on the second size vertical beam is , then and satisfy the following formula:

[0043] ;

[0044] In the formula,

[0045] is the top end temperature of the first size vertical beam;

[0046] is the bottom end temperature of the first size vertical beam;

[0047] n is a natural number;

[0048] is the natural logarithm;

[0049] is the top end temperature of the second size vertical beam;

[0050] is the bottom end temperature of the second size vertical beam;

[0051] thermal diffusivity of the material of the lower balance element;

[0052] pi;

[0053] t is the transient heat conduction time;

[0054] wherein the thermal diffusivity of the material of the balance vertical beam is calculated by the following formula:

[0055] ;

[0056] wherein:

[0057] the density of the material of the lower balance element;

[0058] c is the specific heat capacity of the material of the lower balance element;

[0059] when t is the steady state time of the first size vertical beam ;

[0060] is calculated by the following formula:

[0061] ;

[0062] when t is the steady state time of the second size vertical beam ;

[0063] is calculated by the following formula:

[0064] .

[0065] Compared with the prior art, the beneficial effects of the present application are that:

[0066] 1. The free end connecting flange and the fixed end connecting flange are both circular plate flange structures, the first straight section and the second straight section are both cylindrical structures, the lower reinforcing platform is an annular structure, the free end connecting flange is connected with the test model stopper, the inside of the balance structure has a through hole which can be used for aeration test and weight reduction, the upper balance element is close to the free end connecting flange, which can reduce the additional torque, the measuring element is arranged between the upper reinforcing platform, the middle reinforcing platform and the lower reinforcing platform, which improves the rigidity of the balance element at both ends and reduces the interference between components.

[0067] 2. The lateral force is measured by two T-shaped measuring beams, in the upper balance element, a multi-piece support beam and a T-shaped measuring beam are used in cooperation, the larger the lateral force load distributed by the T-shaped measuring beam, the greater the lateral force strain output of the upper balance element, by adjusting the length-width ratio of the rectangular sheet, the longitudinal and transverse stiffness of the multi-piece support beam can be changed, thereby amplifying the lateral force strain output of the T-shaped measuring beam, and the matching can be performed according to the load ratio requirement, and the influence of temperature on the measurement result is avoided.

[0068] 3. The free end connecting flange is thin, the outer circle stop is matched through the free end connecting flange, and is fixed and connected through a bolt, so that the free end connecting flange bears the assembly stress of the screw surface and the stop, the first straight section is reduced, and the length of the first straight section is greater than or equal to twice the thickness of the free end connecting flange, so that the assembly stress can be effectively prevented from being transmitted to the measuring element, and it is ensured that the assembly stress caused by temperature change no longer affects the balance measurement result.

[0069] 4. The fixed end connecting flange also adopts the connection mode of outer circle stop matching and bolt fixing, and the length of the second straight section is greater than or equal to twice the thickness of the fixed end connecting flange, so that the fixed end assembly stress can be prevented from being transmitted to the inside.

[0070] 5. When the length to cross-sectional area ratio of the arbitrary balance vertical beam meets the formula, the heat flow of each balance vertical beam is equal, and then in the case that the paste height of the strain sheet on the balance vertical beam of two kinds of sizes meets the formula, the transient temperature of the balance strain sheet in the same bridge on the balance vertical beam of two kinds of sizes is consistent, the strain sheet is pasted at the isothermal position, the bridge is connected, and therefore there is no temperature gradient in the bridge, the balance vertical beam can quickly reach a steady state heat balance state, the influence of temperature on the balance measurement is reduced, and more accurate measurement results are obtained. BRIEF DESCRIPTION OF DRAWINGS

[0071] Figure 1 is the axonometric view of the present application;

[0072] Figure 2 is the front view of the present application;

[0073] Figure 3 is the left view of the present application;

[0074] Figure 4 is the A-A sectional view of Figure 2 ;

[0075] Figure 5 is the axonometric view of Figure 2 cut along A-A;

[0076] Figure 6 is the axonometric view of the lower balance element and the fixed part;

[0077] Figure 7 is a front view of the lower balance element and the fixed part portion;

[0078] Figure 8 is a left view of the lower balance element and the fixed part portion;

[0079] Figure 9 is a plan view of the lower balance element and the fixed part portion;

[0080] Figure 10 is a schematic view of the side force strain gauges attached to one side of the two T-shaped measuring beams;

[0081] Figure 11 is a schematic view of the side force strain gauges attached to the other side of the two T-shaped measuring beams;

[0082] Figure 12 is a front view of the lower balance element with strain gauges attached;

[0083] Figure 13 is a left view of the lower balance element with strain gauges attached;

[0084] Figure 14 is a rear view of the lower balance element with strain gauges attached;

[0085] Figure 15 is a right view of the lower balance element with strain gauges attached.

[0086] 1. free end connecting flange, 2. first straight section, 3. upper reinforcing platform, 31. boss, 4. upper balance element, 41. T-shaped measuring beam, 42. multi-piece support beam, 5. middle reinforcing platform, 6. lower balance element, 61. second measuring element group, 62. third measuring element group, 7. lower reinforcing platform, 8. second straight section, 9. fixed end connecting flange, Y1. first lift strain gauge, Y2. second lift strain gauge, Y3. third lift strain gauge, Y4. fourth lift strain gauge, Y5. fifth lift strain gauge, Y6. sixth lift strain gauge, Y7. seventh lift strain gauge, Y8. eighth lift strain gauge, Z1. first lateral strain gauge, Z2. second lateral strain gauge, Z3. third lateral strain gauge, Z4. fourth lateral strain gauge, Z5. fifth lateral strain gauge, Z6. sixth lateral strain gauge, Z7. seventh lateral strain gauge, Z8. eighth lateral strain gauge, Mx1. first roll moment strain gauge, Mx2. second roll moment strain gauge, Mx3. third roll moment strain gauge, Mx4. fourth roll moment strain gauge, Mx5. fifth roll moment strain gauge, Mx6. sixth roll moment strain gauge, Mx7. seventh roll moment strain gauge, Mx8. eighth roll moment strain gauge, My1. first yaw moment strain gauge, My2. second yaw moment strain gauge, My3. third yaw moment strain gauge, My4. fourth yaw moment strain gauge, My5. fifth yaw moment strain gauge, My6. sixth yaw moment strain gauge, My7. seventh yaw moment strain gauge, My8. eighth yaw moment strain gauge, Mz1. first pitch moment strain gauge, Mz2. second pitch moment strain gauge, Mz3. third pitch moment strain gauge, Mz4. fourth pitch moment strain gauge, Mz5. fifth pitch moment strain gauge, Mz6. sixth pitch moment strain gauge, Mz7. seventh pitch moment strain gauge, Mz8. eighth pitch moment strain gauge. DETAILED DESCRIPTION

[0087] In order to make the objectives, technical solutions, and advantages of the present application clearer, the present application will be described below in connection with specific embodiments shown in the drawings. It should be understood, however, that the description is only exemplary and is not intended to limit the scope of the present application. Furthermore, in the following description, descriptions of well-known structures and techniques are omitted to avoid unnecessarily obscuring the concept of the present application.

[0088] The connections mentioned in this invention are divided into fixed connections and detachable connections. Fixed connections, also known as non-detachable connections, include but are not limited to conventional fixed connection methods such as folded connections, riveted connections, adhesive connections, and welded connections. Detachable connections include but are not limited to conventional disassembly methods such as bolted connections, snap-fit ​​connections, pin connections, and hinged connections. When a specific connection method is not explicitly defined, it is assumed that at least one existing connection method can be found to achieve this function, and those skilled in the art can choose according to their needs. For example, a welded connection can be chosen for fixed connections, and a bolted connection can be chosen for detachable connections.

[0089] The present invention will be further described in detail below with reference to the accompanying drawings. The following embodiments are explanations of the present invention, but the present invention is not limited to the following embodiments.

[0090] Example: Figures 1-15 As shown, a large lift-to-side ratio half-mold balance structure with low temperature influence includes a free part, a middle reinforcing platform 5 and a fixed part arranged coaxially from top to bottom. The free part, the middle reinforcing platform 5 and the fixed part are all provided with through holes along the axis. The free part is composed of a free end connecting flange 1, a first straight section 2 and an upper reinforcing platform 3 connected from top to bottom. The fixed part is composed of a lower reinforcing platform 7, a second straight section 8 and a fixed end connecting flange 9 connected coaxially from top to bottom.

[0091] The upper balance element 4 includes four multi-piece support beams 42 and two T-shaped measuring beams 41. Each multi-piece support beam 42 consists of several rectangular thin plates with opposite end faces and spaced apart. Each T-shaped measuring beam 41 includes a first vertical beam and thin plate interference-eliminating crossbeams arranged on the left and right. The upper end of the first vertical beam is connected to the middle of the thin plate interference-eliminating crossbeams. Both the upper reinforcing platform 3 and the middle reinforcing platform 5 are rectangular plate structures. The four corners of the upper reinforcing platform 3 correspond one-to-one with the four corners of the middle reinforcing platform 5 and are connected by a set of multi-piece support beams 42. The two ends of the thin plate interference-eliminating crossbeams of one T-shaped measuring beam 41 are respectively connected to the front side of the upper reinforcing platform 3 and the first vertical beam. The lower end is connected to the front side of the middle reinforcing platform 5. The two ends of the thin sheet noise reduction crossbeam of another T-shaped measuring beam 41 are connected to the rear side of the upper reinforcing platform 3 respectively. The lower end of the first vertical beam is connected to the rear side of the middle reinforcing platform 5. The lower balance element 6 includes a first measuring element group 61 and a second measuring element group 62. Both the first measuring element group 61 and the second measuring element group 62 are composed of several balance vertical beams. The front and rear sides of the middle reinforcing platform 5 are connected to the front and rear sides of the lower reinforcing platform 7 through the first measuring element group 61. The left and right sides of the middle reinforcing platform 5 are connected to the left and right sides of the lower reinforcing platform 7 through the second measuring element group 62.

[0092] The free end connecting flange 1 and the fixed end connecting flange 9 are both circular plate flange structures, the first straight section 2 and the second straight section 8 are both cylindrical structures, the lower reinforcing platform 7 is an annular structure, the free end connecting flange 1 is connected with the test model stopper, the internal part of the balance structure has a through hole, which can be used for aeration test and weight reduction, the upper balance element 4 is close to the free end connecting flange 1, which can reduce the additional torque, the measuring elements are arranged between the upper reinforcing platform 3, the middle reinforcing platform 5 and the lower reinforcing platform 7, which improves the rigidity of both ends of the balance element and reduces the interference between the components.

[0093] The lateral force is measured by two T-shaped measuring beams 41, in the upper balance element 4, a multi-piece support beam 42 and a T-shaped measuring beam 41 are matched, the larger the lateral force load distributed by the T-shaped measuring beam 41, the greater the lateral force strain output of the upper balance element 4, the length-width ratio of the multi-piece support beam 42 can be adjusted to change the longitudinal and transverse rigidity ratio, thereby amplifying the lateral force strain output of the T-shaped measuring beam 41, which can be matched according to the demand of the measured load, and the influence of temperature on the measurement results is avoided.

[0094] The upper reinforcing platform 3 is provided with a rectangular boss 31 at the lower end, four multi-piece support beams 42 are arranged on the left and right sides of the boss 31, grooves are formed on the front and rear sides of the lower edge of the boss 31, the thin piece disturbance beam of the T-shaped measuring beam 41 is located in the corresponding groove, the two ends of the thin piece disturbance beam are connected with the two side walls of the groove, the lower end of the first vertical beam is connected with the middle reinforcing platform 5, the two T-shaped measuring beams 41 are symmetric about the axis, and the T-shaped measuring beams 41 are symmetric about the axis.

[0095] The length of the first straight section 2 is greater than or equal to twice the thickness of the free end connecting flange 1.

[0096] The free end connecting flange 1 is thin, the outer circle stopper of the free end connecting flange 1 is matched and connected by bolts, so that the free end connecting flange 1 bears the assembly stress of the screw surface and the stopper, the first straight section 2 is reduced, the length of the first straight section 2 is greater than or equal to twice the thickness of the free end connecting flange 1, which can effectively prevent the assembly stress from being transmitted to the measuring element, and ensure that the assembly stress caused by temperature change no longer affects the balance measurement result.

[0097] The length of the second straight section 8 is greater than or equal to twice the thickness of the fixed end connecting flange 9.

[0098] The fixed end connecting flange 9 also adopts the connection mode of outer circle stopper matching and bolt fixing, the length of the second straight section 8 is greater than or equal to twice the thickness of the fixed end connecting flange 9, which can prevent the fixed end assembly stress from being transmitted to the inside.

[0099] The half-mold balance is integrally formed, the sum of the lateral forces borne by the first measuring element group is set as Fz, and there is ;

[0100] wherein: is the lateral force borne by each rectangular sheet, is the lateral force borne by each first vertical beam, m is the number of rectangular sheets contained in each group of multi-piece support beams 42;

[0101] the vertical distance between the two ends of the rectangular sheet is defined as length L 1, the front and back distance is width h 1, the left and right distance is thickness b 1, the vertical distance between the two ends of the first vertical beam is length L 2, the front and back distance is width h 2, the left and right distance is thickness b 2, then L 1 and L 2 satisfy the following relationship:

[0102] ;

[0103] wherein:

[0104] is the elastic modulus of the material of the upper balance element 4;

[0105] is the front and back distance of the sheet disturbance beam;

[0106] is the cross-sectional area of the sheet disturbance beam;

[0107] is the cross-sectional moment of inertia of the rectangular sheet;

[0108] is the cross-sectional moment of inertia of the first vertical beam;

[0109] is the cross-sectional moment of inertia of the rectangular sheet calculated by the following formula:

[0110] ;

[0111] is the cross-sectional moment of inertia of the first vertical beam calculated by the following formula:

[0112] .

[0113] According to the ratio of L 1 to L 2, the lateral force load ratio borne by the rectangular sheet and the first vertical beam is adjusted, which can further amplify the strain output of the T-shaped measurement beam 41.

[0114] The several balance vertical beams constituting the first measuring element group 61 include four second vertical beams and four third vertical beams, the four second vertical beams are arranged in two rows in front and back and two columns in left and right, two third vertical beams arranged in front and back form a group, the four third vertical beams are divided into two groups, and the two groups of third vertical beams are arranged on the left and right sides of the four fourth vertical beams;

[0115] The several balance vertical beams constituting the second measuring element group 62 include four fourth vertical beams and two fifth vertical beams, the four fourth vertical beams are arranged in two rows in front and back and two columns in left and right, and the two fifth vertical beams are arranged on the front and back sides of the four fourth vertical beams.

[0116] In the first measuring element group 61 located on the front side, the second vertical beam in the left column of the front row is marked as No. 1 column, the second vertical beam in the right column of the front row is marked as No. 2 column, the third vertical beam at the front end of the left side is marked as No. 3 column, and the third vertical beam at the front end of the right side is marked as No. 4 column;

[0117] In the second measuring element group 62 located on the left side, the fourth vertical beam in the front row of the left column is marked as No. 5 column, the fourth vertical beam in the rear row of the left column is marked as No. 6 column, the fifth vertical beam at the front end is marked as No. 7 column, and the fifth vertical beam at the rear end is marked as No. 8 column;

[0118] In the second measuring element group 62 located on the right side, the fourth vertical beam in the front row of the right column is marked as No. 9 column, the fourth vertical beam in the rear row of the right column is marked as No. 10 column, the fifth vertical beam at the front end of the second measuring element group 62 on the right side is marked as No. 11 column, and the fifth vertical beam at the rear end is marked as No. 12 column;

[0119] In the first measuring element group 61 located on the rear side, the second vertical beam in the left column of the rear row is marked as No. 13 column, the second vertical beam in the right column of the rear row is marked as No. 14 column, the third vertical beam at the rear end of the left side is marked as No. 15 column, and the third vertical beam at the rear end of the right side is marked as No. 16 column;

[0120] The first lift strain gauge Y1 is pasted on the front side top of No. 1 column, the second lift strain gauge Y2 is pasted on the front side top of No. 2 column, the fifth lift strain gauge Y5 is pasted on the front side bottom of No. 1 column, the sixth lift strain gauge Y6 is pasted on the front side bottom of No. 2 column, the third lift strain gauge Y3 is pasted on the rear side top of No. 13 column, the fourth lift strain gauge Y4 is pasted on the rear side top of No. 14 column, the seventh lift strain gauge Y7 is pasted on the rear side bottom of No. 13 column, and the eighth lift strain gauge Y8 is pasted on the rear side bottom of No. 14 column, the first lift strain gauge Y1, the second lift strain gauge Y2, the third lift strain gauge Y3 and the fourth lift strain gauge Y4 are connected in series to form a first normal force bridge, and the fifth lift strain gauge Y5, the sixth lift strain gauge Y6, the seventh lift strain gauge Y7 and the eighth lift strain gauge Y8 are connected in series to form a second normal force bridge;

[0121] The first roll moment strain gauge Mx1 and the second roll moment strain gauge Mx2 are pasted on the front top of the No. 11 column beam, the third roll moment strain gauge Mx3 and the fourth roll moment strain gauge Mx4 are pasted on the front top of the No. 7 column beam, the fifth roll moment strain gauge Mx5 and the sixth roll moment strain gauge Mx6 are pasted on the rear top of the No. 8 column beam, the seventh roll moment strain gauge Mx7 and the eighth roll moment strain gauge Mx8 are pasted on the rear top of the No. 12 column beam, the first roll moment strain gauge Mx1, the second roll moment strain gauge Mx2, the seventh roll moment strain gauge Mx7 and the eighth roll moment strain gauge Mx8 are connected in series to form a first roll moment electric bridge, and the third roll moment strain gauge Mx3, the fourth roll moment strain gauge Mx4, the fifth roll moment strain gauge Mx5 and the sixth roll moment strain gauge Mx6 are connected in series to form a second roll moment electric bridge;

[0122] The first yaw moment strain gauge My1 is pasted on the left middle of the No. 6 column beam, the second yaw moment strain gauge My2 is pasted on the left middle of the No. 5 column beam, the third yaw moment strain gauge My3 is pasted on the front middle of the No. 7 column beam, the fourth yaw moment strain gauge My4 is pasted on the front middle of the No. 11 column beam, the fifth yaw moment strain gauge My5 is pasted on the right middle of the No. 10 column beam, the sixth yaw moment strain gauge My6 is pasted on the right middle of the No. 9 column beam, the seventh yaw moment strain gauge My7 is pasted on the rear middle of the No. 8 column beam, and the eighth yaw moment strain gauge My8 is pasted on the rear middle of the No. 12 column beam, the first yaw moment strain gauge My1, the second yaw moment strain gauge My2, the third yaw moment strain gauge My3 and the seventh yaw moment strain gauge My7 are connected in series to form a first yaw moment electric bridge, and the fourth yaw moment strain gauge My4, the fifth yaw moment strain gauge My5, the sixth yaw moment strain gauge My6 and the eighth yaw moment strain gauge My8 are connected in series to form a second yaw moment electric bridge;

[0123] A first pitch moment strain gauge Mz1 is pasted in the middle of the front side of the first column beam, a second pitch moment strain gauge Mz2 is pasted in the middle of the front side of the second column beam, a third pitch moment strain gauge Mz3 is pasted in the middle of the front side of the fourth column beam, a fourth pitch moment strain gauge Mz4 is pasted in the middle of the front side of the third column beam, a fifth pitch moment strain gauge Mz5 is pasted in the middle of the rear side of the thirteenth column beam, a sixth pitch moment strain gauge Mz6 is pasted in the middle of the rear side of the fourteenth column beam, a seventh pitch moment strain gauge Mz7 is pasted in the middle of the rear side of the sixteenth column beam, an eighth pitch moment strain gauge Mz8 is pasted in the middle of the rear side of the fifteenth column beam, the first pitch moment strain gauge Mz1, the second pitch moment strain gauge Mz2, the third pitch moment strain gauge Mz3 and the fourth pitch moment strain gauge Mz4 are connected in series to form a first pitch moment electric bridge, and the fifth pitch moment strain gauge Mz5, the sixth pitch moment strain gauge Mz6, the seventh pitch moment strain gauge Mz7 and the eighth pitch moment strain gauge Mz8 are connected in series to form a second pitch moment electric bridge;

[0124] A first lateral force strain gauge Z1 and a third lateral force strain gauge Z3 are pasted on the left bottom of the rear end first vertical beam, a second lateral force strain gauge Z2 and a fourth lateral force strain gauge Z4 are pasted on the right bottom of the rear end first vertical beam, a fifth lateral force strain gauge Z5 and a seventh lateral force strain gauge Z7 are pasted on the left side of the front end first vertical beam, and a sixth lateral force strain gauge Z6 and an eighth lateral force strain gauge Z8 are pasted on the right side of the front end first vertical beam, the first lateral force strain gauge Z1, the second lateral force strain gauge Z2, the third lateral force strain gauge Z3 and the fourth lateral force strain gauge Z4 are connected in series to form a first lateral force electric bridge, and the fifth lateral force strain gauge Z5, the sixth lateral force strain gauge Z6, the seventh lateral force strain gauge Z7 and the eighth lateral force strain gauge Z8 are connected in series to form a second lateral force electric bridge;

[0125] The length of all the vertical beams in the lower balance element 6 The cross-sectional area All satisfy the following formula:

[0126] ……(1);

[0127] In the formula:

[0128] Q is the internal heat flow of the vertical beam;

[0129] T is the top end temperature of the vertical beam;

[0130] T is the bottom end temperature of the vertical beam;

[0131] K is the thermal conductivity coefficient of the material of the vertical beam;

[0132] The strain gauges attached to the first, second, third, fourth, and fifth vertical beams are collectively referred to as balance strain gauges. The distance from the attachment position of each strain gauge to the lower end of the corresponding balance vertical beam is defined as the attachment height of the strain gauge. When four strain gauges of any bridge are attached to balance vertical beams of the same external dimensions, the attachment height of the strain gauges is consistent. When four strain gauges of any bridge are attached to balance vertical beams of two different external dimensions, the two different external dimensions are distinguished as the first-size vertical beam and the second-size vertical beam, with the length of the first-size vertical beam... In fact The length of the second type of vertical beam In fact The bonding height of the strain gauge on the first-sized vertical beam is set to... The bonding height of the strain gauge on the second-sized vertical beam is [missing information]. ,but and Satisfy the following formula:

[0133] ...(2);

[0134] In the formula:

[0135] The temperature at the top of the first type of vertical beam;

[0136] The temperature at the bottom of the first type of vertical beam;

[0137] n is a natural number;

[0138] It is the natural logarithm;

[0139] The temperature at the top of the second type of vertical beam;

[0140] The temperature at the bottom of the second type of vertical beam;

[0141] The thermal diffusivity of the material of the lower balance element 6;

[0142] Pi;

[0143] t is the transient heat conduction time;

[0144] Among them, the thermal diffusivity of the vertical beam of the balance. Calculated using the following formula:

[0145] ;

[0146] In the formula:

[0147] is the material density of the lower balance element 6;

[0148] c is the specific heat capacity of the material of the lower balance element 6;

[0149] t is the steady-state time of the first size vertical beam ;

[0150] is calculated by the following formula:

[0151] ;

[0152] t is the steady-state time of the second size vertical beam ;

[0153] is calculated by the following formula:

[0154] .

[0155] The cross-sectional areas and lengths of the second vertical beam and the third vertical beam are different, and the cross-sectional areas and lengths of the fourth vertical beam and the fifth vertical beam are different, the longitudinal stiffness of the second vertical beam is strengthened to distribute greater lift direction load, because the stiffness of the second vertical beam and the third vertical beam is consistent, the third vertical beam on both sides can obtain greater strain output, and in order to ensure that the heat flow through the second vertical beam and the third vertical beam is consistent, the root thermal stress is avoided, it is necessary to ensure that the heat flow through the second vertical beam and the third vertical beam is consistent, so the cross-sectional area and the length of each balance vertical beam are proportional;

[0156] When the length of any balance vertical beam and the cross-sectional area satisfy the formula (1), the heat flow of each balance vertical beam is equal, and in the case that and satisfy the formula (2), the transient temperature of the balance strain gauge in the same bridge at the sticking position on the balance vertical beam of two different sizes is consistent, the strain gauge is pasted at the isothermal position, so there is no temperature gradient in the bridge circuit, the balance vertical beam can quickly reach a steady-state thermal equilibrium state, the influence of temperature on the balance measurement is reduced, and more accurate measurement results are obtained.

[0157] The above examples are only illustrative of the present application and do not limit the protection scope thereof, and a person skilled in the art can also make changes to part of it, as long as it does not exceed the spirit and essence of the present application, and is within the protection scope of the present application.

Claims

1. A large lift side ratio mold half balancing structure with low temperature influence, characterized by: The free part, the middle reinforcing platform (5) and the fixed part are coaxially and spacedly arranged from top to bottom, and through holes are formed in the free part, the middle reinforcing platform (5) and the fixed part along an axis, the free part is composed of a free end connecting flange (1), a first straight section (2) and an upper reinforcing platform (3) which are sequentially connected from top to bottom, the length of the first straight section (2) is greater than or equal to twice the thickness of the free end connecting flange (1), the fixed part is composed of a lower reinforcing platform (7), a second straight section (8) and a fixed end connecting flange (9) which are sequentially and coaxially connected from top to bottom; The upper balance element (4) comprises four multi-piece support beams (42) and two T-shaped measuring beams (41), the multi-piece support beam (42) is composed of a plurality of rectangular sheets which are oppositely arranged on the end faces and are spacedly arranged on the left and right sides, the T-shaped measuring beam (41) comprises a first vertical beam and a sheet noise elimination horizontal beam which is arranged on the left and right sides, the upper end of the first vertical beam is connected with the middle part of the sheet noise elimination horizontal beam, the upper reinforcing platform (3) and the middle reinforcing platform (5) are both rectangular plate structures, the four corners of the upper reinforcing platform (3) are connected with the four corners of the middle reinforcing platform (5) through a group of multi-piece support beams (42) in a one-to-one correspondence, the two ends of the sheet noise elimination horizontal beam of one T-shaped measuring beam (41) are connected with the front side of the upper reinforcing platform (3) and the lower end of the first vertical beam is connected with the front side of the middle reinforcing platform (5), respectively, the two ends of the sheet noise elimination horizontal beam of the other T-shaped measuring beam (41) are connected with the rear side of the upper reinforcing platform (3) and the lower end of the first vertical beam is connected with the rear side of the middle reinforcing platform (5), respectively, the lower balance element (6) comprises a first measuring element group (61) and a second measuring element group (62), the first measuring element group (61) and the second measuring element group (62) are both composed of a plurality of balance vertical beams, the front and rear sides of the middle reinforcing platform (5) and the front and rear sides of the lower reinforcing platform (7) are connected in a corresponding manner through the first measuring element group (61), and the left and right sides of the middle reinforcing platform (5) and the left and right sides of the lower reinforcing platform (7) are connected in a corresponding manner through the second measuring element group (62).

2. The large-lift side ratio mold half balancing structure with low temperature influence according to claim 1, characterized in that: The upper reinforcing platform (3) is provided with a rectangular boss (31) at the lower end, the four multi-piece support beams (42) are arranged on the left and right sides of the boss (31), grooves are formed in the front and rear sides of the lower edge of the boss (31), the sheet noise elimination horizontal beam of the T-shaped measuring beam (41) is located in the corresponding groove, and the two ends of the sheet noise elimination horizontal beam are connected with the two side walls of the groove in a corresponding manner.

3. The large-lift side ratio mold half balancing structure with low temperature influence according to claim 1, characterized in that: The length of the second straight section (8) is greater than or equal to twice the thickness of the fixed end connecting flange (9).

4. A large-lift side ratio mold half balancing structure with low temperature influence according to any one of claims 1-3, characterized in that: The half-mold balance is integrally formed, and the sum of the lateral forces borne by the first measurement element group is set as Then, there are ; wherein: is the lateral force taken up by each rectangular sheet, is the lateral force taken up by each first vertical beam, m is the number of rectangular sheets contained in each group of multi-sheet support beams (42). The vertical distance between the two ends of the rectangular sheet is defined as a length L1, the front and rear distance is defined as a width h1, and the left and right distance is defined as a thickness b1, the vertical distance between the two ends of the first vertical beam is defined as a length L2, the front and rear distance is defined as a width h2, and the left and right distance is defined as a thickness b2, and L1 and L2 satisfy the following relationship: ； In the formula: Eupper is the material elastic modulus of the upper scale element (4); Distance between the front and back ends of the sheet disturbing crossbeam; cross-sectional area of the sheet de-noising beam; cross-sectional moment of inertia of the rectangular sheet; is the cross-sectional moment of inertia of the first vertical beam; The cross-sectional moment of inertia of the rectangular sheet By the following formula: ； the cross-sectional moment of inertia of the first vertical beam is calculated by the formula: 。 5. A large-lift side ratio mold half balancing structure with low temperature influence according to claim 4, characterized in that: The plurality of balance vertical beams constituting the first measuring element group (61) comprise four second vertical beams and four third vertical beams, the four second vertical beams are arranged in two rows in front and rear and in two columns on the left and right sides, the two third vertical beams arranged in front and rear form a group, the four third vertical beams are divided into two groups, and the two groups of third vertical beams are arranged on the left and right sides of the four fourth vertical beams; The second measurement element group (62) includes four fourth vertical beams and two fifth vertical beams, the four fourth vertical beams are arranged in two rows and two columns, and the two fifth vertical beams are arranged on the front and back sides of the four fourth vertical beams.

6. A large-lift side ratio mold balance structure with low temperature influence according to claim 5, characterized in that: In the first measurement element group (61) on the front side, the second vertical beam in the front left column is marked as No. 1 column, the second vertical beam in the front right column is marked as No. 2 column, the third vertical beam at the front left end is marked as No. 3 column, and the third vertical beam at the front right end is marked as No. 4 column; In the second measurement element group (62) on the left side, the fourth vertical beam in the front left column is marked as No. 5 column, the fourth vertical beam in the back left column is marked as No. 6 column, the fifth vertical beam at the front end is marked as No. 7 column, and the fifth vertical beam at the back end is marked as No. 8 column; In the second measurement element group (62) on the right side, the fourth vertical beam in the front right column is marked as No. 9 column, the fourth vertical beam in the back right column is marked as No. 10 column, the fifth vertical beam at the front end of the second measurement element group (62) on the right side is marked as No. 11 column, and the fifth vertical beam at the back end is marked as No. 12 column; In the first measurement element group (61) on the back side, the second vertical beam in the back left column is marked as No. 13 column, the second vertical beam in the back right column is marked as No. 14 column, the third vertical beam at the back left end is marked as No. 15 column, and the third vertical beam at the back right end is marked as No. 16 column; A first lift strain gauge (Y1) is attached to the top of the front side of No. 1 column, a second lift strain gauge (Y2) is attached to the top of the front side of No. 2 column, a fifth lift strain gauge (Y5) is attached to the bottom of the front side of No. 1 column, a sixth lift strain gauge (Y6) is attached to the bottom of the front side of No. 2 column, a third lift strain gauge (Y3) is attached to the top of the back side of No. 13 column, a fourth lift strain gauge (Y4) is attached to the top of the back side of No. 14 column, a seventh lift strain gauge (Y7) is attached to the bottom of the back side of No. 13 column, and an eighth lift strain gauge (Y8) is attached to the bottom of the back side of No. 14 column, the first lift strain gauge (Y1), the second lift strain gauge (Y2), the third lift strain gauge (Y3), and the fourth lift strain gauge (Y4) are connected in series to form a first normal force bridge, and the fifth lift strain gauge (Y5), the sixth lift strain gauge (Y6), the seventh lift strain gauge (Y7), and the eighth lift strain gauge (Y8) are connected in series to form a second normal force bridge; The first roll moment strain gauge (Mx1) and the second roll moment strain gauge (Mx2) are pasted on the front top of the No. 11 column beam, the third roll moment strain gauge (Mx3) and the fourth roll moment strain gauge (Mx4) are pasted on the front top of the No. 7 column beam, the fifth roll moment strain gauge (Mx5) and the sixth roll moment strain gauge (Mx6) are pasted on the rear top of the No. 8 column beam, the seventh roll moment strain gauge (Mx7) and the eighth roll moment strain gauge (Mx8) are pasted on the rear top of the No. 12 column beam, the first roll moment strain gauge (Mx1), the second roll moment strain gauge (Mx2), the seventh roll moment strain gauge (Mx7) and the eighth roll moment strain gauge (Mx8) are connected in series to form a first roll moment electric bridge, and the third roll moment strain gauge (Mx3), the fourth roll moment strain gauge (Mx4), the fifth roll moment strain gauge (Mx5) and the sixth roll moment strain gauge (Mx6) are connected in series to form a second roll moment electric bridge; The first yaw moment strain gauge (My1) is pasted on the left middle of the No. 6 column beam, the second yaw moment strain gauge (My2) is pasted on the left middle of the No. 5 column beam, the third yaw moment strain gauge (My3) is pasted on the front middle of the No. 7 column beam, the fourth yaw moment strain gauge (My4) is pasted on the front middle of the No. 11 column beam, the fifth yaw moment strain gauge (My5) is pasted on the right middle of the No. 10 column beam, the sixth yaw moment strain gauge (My6) is pasted on the right middle of the No. 9 column beam, the seventh yaw moment strain gauge (My7) is pasted on the rear middle of the No. 8 column beam, and the eighth yaw moment strain gauge (My8) is pasted on the rear middle of the No. 12 column beam, the first yaw moment strain gauge (My1), the second yaw moment strain gauge (My2), the third yaw moment strain gauge (My3) and the seventh yaw moment strain gauge (My7) are connected in series to form a first yaw moment electric bridge, and the fourth yaw moment strain gauge (My4), the fifth yaw moment strain gauge (My5), the sixth yaw moment strain gauge (My6) and the eighth yaw moment strain gauge (My8) are connected in series to form a second yaw moment electric bridge; The first pitch moment strain gauge (Mz1) is pasted in the middle of the front side of the first column beam, the second pitch moment strain gauge (Mz2) is pasted in the middle of the front side of the second column beam, the third pitch moment strain gauge (Mz3) is pasted in the middle of the front side of the fourth column beam, the fourth pitch moment strain gauge (Mz4) is pasted in the middle of the front side of the third column beam, the fifth pitch moment strain gauge (Mz5) is pasted in the middle of the rear side of the thirteenth column beam, the sixth pitch moment strain gauge (Mz6) is pasted in the middle of the rear side of the fourteenth column beam, the seventh pitch moment strain gauge (Mz7) is pasted in the middle of the rear side of the sixteenth column beam, the eighth pitch moment strain gauge (Mz8) is pasted in the middle of the rear side of the fifteenth column beam, the first pitch moment strain gauge (Mz1), the second pitch moment strain gauge (Mz2), the third pitch moment strain gauge (Mz3) and the fourth pitch moment strain gauge (Mz4) are connected in series to form a first pitch moment electric bridge, the fifth pitch moment strain gauge (Mz5), the sixth pitch moment strain gauge (Mz6), the seventh pitch moment strain gauge (Mz7) and the eighth pitch moment strain gauge (Mz8) are connected in series to form a second pitch moment electric bridge; The first lateral force strain gauge (Z1) and the third lateral force strain gauge (Z3) are pasted on the left side of the bottom of the rear end first vertical beam, the second lateral force strain gauge (Z2) and the fourth lateral force strain gauge (Z4) are pasted on the right side of the bottom of the rear end first vertical beam, the fifth lateral force strain gauge (Z5) and the seventh lateral force strain gauge (Z7) are pasted on the left side of the front end first vertical beam, the sixth lateral force strain gauge (Z6) and the eighth lateral force strain gauge (Z8) are pasted on the right side of the front end first vertical beam, the first lateral force strain gauge (Z1), the second lateral force strain gauge (Z2), the third lateral force strain gauge (Z3) and the fourth lateral force strain gauge (Z4) are connected in series to form a first lateral force electric bridge, the fifth lateral force strain gauge (Z5), the sixth lateral force strain gauge (Z6), the seventh lateral force strain gauge (Z7) and the eighth lateral force strain gauge (Z8) are connected in series to form a second lateral force electric bridge; The length of all the balance uprights in the lower layer of balance elements (6) The cross-sectional area Both satisfy the following equation: ； In the formula: Qin is the internal heat flow for the balance column; Ttop is the temperature at the top end of the balance beam; Tbase is the temperature at the base of the balance beam; the material of the balance uprights; The strain gauges attached to the first, second, third, fourth, and fifth vertical beams are collectively referred to as balance strain gauges. The distance from the attachment position of each strain gauge to the lower end of the corresponding balance vertical beam is defined as the attachment height of the strain gauge. When four strain gauges of any bridge are attached to balance vertical beams of the same external dimensions, the attachment height of the strain gauges is consistent. When four strain gauges of any bridge are attached to balance vertical beams of two different external dimensions, the two different external dimensions are distinguished as the first-size vertical beam and the second-size vertical beam, with the length of the first-size vertical beam... In fact The length of the second type of vertical beam In fact The bonding height of the strain gauge on the first-sized vertical beam is set to... The bonding height of the strain gauge on the second-sized vertical beam is [missing information]. ,but and Satisfy the following formula: ； In the formula: Top end temperature for first size uprights; Temperature at the bottom end of the upright for the first size; n is a natural number; ln is the natural logarithm; Top end temperature for the second size column Temperature at the bottom end of the second size upright; thermal diffusivity of the material of the underlying balance element (6); is the circumference of a circle; t is a transient heat conduction time; wherein the material thermal diffusivity of the balance vertical beam is calculated by the following formula: ； In the formula: ρ is the material density of the underlying scale element (6); c is the specific heat capacity of the lower balance element (6); when t is the steady state time for the first size vertical beam when t is the steady state time for the first size vertical beam The calculation is made by the formula: ； when t is the steady state time for the second size of upright when t is the steady state time for the second size of upright The calculation is made by the formula: 。

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