Tower crane, deflection calculation method and device thereof, medium and program product

Abstract

The invention relates to a tower crane, a deflection calculation method and device thereof, a medium and a program product. The method for calculating the deflection of the tower crane comprises the following steps: determining the initial deflection of the tower crane according to the horizontal load and bending moment of the tower crane; according to a first vertical load and the initial deflection, the external force additional deflection of the tower crane is determined, and the first vertical load is the concentrated weight borne by the upper portion of the tower crane; according to a second vertical load and the initial deflection, the self-weight additional deflection of the tower crane is determined, and the second vertical load is the self weight of the tower crane; and determining the deflection of the tower crane according to the initial deflection, the external force additional deflection and the self-weight additional deflection. In the presence of the initial deflection, the additional deflection generated by different vertical loads on the tower body is analyzed, the deflection of the tower body is analyzed, corrected and calculated, and the design calculation precision is improved.

Description

TECHNICAL FIELD

[0001] The present disclosure relates to the technical field of tower cranes, in particular to a tower crane and a method and device for calculating the deflection of the tower crane, a medium and a program product. BACKGROUND

[0002] As a typical high-rise structure, the tower crane is widely used in construction sites and the like. In the construction process of the tower crane, the standard section of the tower body is a core component for supporting the entire tower crane, and the stability and safety thereof are crucial. When designing the tower body, the designer needs to consider the upper loads on the tower body, such as the lifting weight, the overturning bending moment, the rotating torque, the wind force, and the self-weight of the tower body. SUMMARY

[0003] The inventor has found through research that in the related art, the overall stability of the tower body is designed by calculating all loads independently and checking them by linear superposition. The related art method ignores the coupling interaction between the loads, i.e., the nonlinear change of the structure, and the geometric change of the structure under external force is not in a linear relationship with the external load. Under the action of the load, the deformed structure is affected by the original load, thereby generating additional internal forces and additional deflections on the structure, and the additional force and lateral displacement are the second-order effects of the structure, also known as the large deformation problem. In the related art, the tower body is a typical geometrically nonlinear structure, and if the designer designs according to the independent load linear superposition method, the error with the actual result is large, and there is a design safety risk.

[0004] In view of at least one of the above technical problems, the present disclosure provides a tower crane and a method and device for calculating the deflection of the tower crane, a medium and a program product, which can analyze the additional deflection of the tower body caused by different vertical loads in the presence of initial deflection, and perform analytical correction calculation on the deflection of the tower body, thereby improving the design calculation accuracy.

[0005] According to one aspect of the present disclosure, a method for calculating the deflection of a tower crane is provided, comprising:

[0006] determining the initial deflection of the tower crane according to the horizontal load and the bending moment of the tower crane;

[0007] determining the additional deflection of the tower crane caused by external force according to the first vertical load and the initial deflection, wherein the first vertical load is the concentrated weight borne by the upper part of the tower crane;

[0008] determining the additional deflection of the tower crane caused by self-weight according to the second vertical load and the initial deflection, wherein the second vertical load is the self-weight of the tower crane;

[0009] determining the deflection of the tower crane according to the initial deflection, the additional deflection caused by external force, and the additional deflection caused by self-weight.

[0010] In some embodiments of the present disclosure, determining the tower crane deflection according to the initial deflection, the external force additional deflection, and the self-weight additional deflection comprises:

[0011] According to the external force additional deflection and the self-weight additional deflection, determining a mutual influence deflection of the external force additional deflection and the self-weight additional deflection;

[0012] According to the initial deflection, the external force additional deflection, the self-weight additional deflection, and the mutual influence deflection, determining the tower crane deflection.

[0013] In some embodiments of the present disclosure, the tower crane deflection calculation method further comprises:

[0014] Simplifying a mechanical model of a tower crane tower structure and load;

[0015] Determining a load of the tower crane, wherein the load comprises a horizontal load, a vertical load, and a bending moment, the horizontal load comprises a concentrated horizontal force of an upper part of the tower crane and a horizontal distribution wind pressure of the tower crane itself, the vertical load comprises the first vertical load and the second vertical load, and the bending moment is mainly a overturning moment of the upper part of the tower crane.

[0016] In some embodiments of the present disclosure, determining the initial deflection of the tower crane according to the horizontal load and the bending moment of the tower crane comprises:

[0017] According to the concentrated horizontal force of the upper part of the tower crane, the horizontal distribution wind pressure of the tower crane itself, the overturning moment of the upper part of the tower crane, the total length of the tower, the overall inertia moment of the tower, and the elastic modulus of the tower, determining the initial deflection of the tower crane.

[0018] In some embodiments of the present disclosure, determining the external force additional deflection of the tower crane according to the first vertical load and the initial deflection comprises:

[0019] According to the first vertical load, the initial deflection, the total length of the tower, the overall inertia moment of the tower, and the elastic modulus of the tower, determining the external force additional deflection of the tower crane.

[0020] In some embodiments of the present disclosure, determining the external force additional deflection of the tower crane according to the first vertical load and the initial deflection comprises:

[0021] Equivalent the influence of the initial deflection on the first vertical load to a first horizontal load;

[0022] According to the initial deflection and the first horizontal load, determining a first deflection stiffness;

[0023] determine an external force additional deflection of the tower crane according to the first vertical load, the initial deflection, the first deflection stiffness and the tower total length.

[0024] In some embodiments of the present disclosure, determining the external force additional deflection of the tower crane according to the first vertical load, the initial deflection, the first deflection stiffness and the tower total length comprises:

[0025] calculating a second additional bending moment of the first vertical load under the initial deflection;

[0026] determining a second external force additional deflection of the tower crane according to the second additional bending moment, the first deflection stiffness and the tower total length;

[0027] judging whether the second external force additional deflection converges;

[0028] in a case where the second external force additional deflection converges, taking the second external force additional deflection as a final external force additional deflection.

[0029] In some embodiments of the present disclosure, determining the external force additional deflection of the tower crane according to the first vertical load, the initial deflection, the first deflection stiffness and the tower total length further comprises:

[0030] in a case where the second external force additional deflection does not converge, calculating a third additional bending moment of the first vertical load under the second external force additional deflection;

[0031] determining a third external force additional deflection of the tower crane according to the third additional bending moment, the first deflection stiffness and the tower total length;

[0032] judging whether the third external force additional deflection converges;

[0033] in a case where the third external force additional deflection converges, superimposing the second external force additional deflection to the third external force additional deflection as a final external force additional deflection.

[0034] In some embodiments of the present disclosure, determining the external force additional deflection of the tower crane according to the first vertical load, the initial deflection, the first deflection stiffness and the tower total length further comprises:

[0035] in a case where the nth external force additional deflection does not converge, calculating an n+1 additional bending moment of the first vertical load under the nth external force additional deflection, where n is a natural number greater than or equal to 2;

[0036] determining an n+1 external force additional deflection of the tower crane according to the n+1 additional bending moment, the first deflection stiffness and the tower total length;

[0037] determining whether the n+1th external force additional deflection converges;

[0038] in a case where the n+1th external force additional deflection converges, superimposing the second external force additional deflection to the n+1th external force additional deflection as a final external force additional deflection.

[0039] In some embodiments of the present disclosure, determining the external force additional deflection of the tower crane according to the first vertical load, the initial deflection, the first deflection stiffness and the tower body total length further comprises:

[0040] in a case where the n+1th external force additional deflection does not converge, taking the n+1th external force additional deflection as the nth external force additional deflection, and repeating the steps of calculating the n+1th additional bending moment of the first vertical load under the action of the nth external force additional deflection, determining the n+1th external force additional deflection of the tower crane according to the n+1th additional bending moment, the first deflection stiffness and the tower body total length, and determining whether the n+1th external force additional deflection converges.

[0041] In some embodiments of the present disclosure, determining the self-weight additional deflection of the tower crane according to the second vertical load and the initial deflection comprises:

[0042] determining the self-weight additional deflection of the tower crane according to the second vertical load, the initial deflection, the tower body total length, the tower body overall moment of inertia and the tower body elastic modulus.

[0043] In some embodiments of the present disclosure, determining the self-weight additional deflection of the tower crane according to the second vertical load and the initial deflection comprises:

[0044] equivalent the influence of the initial deflection on the second vertical load to a second horizontal load;

[0045] determining a second deflection stiffness according to the initial deflection and the second horizontal load;

[0046] determining the self-weight additional deflection of the tower crane according to the second vertical load, the initial deflection, the second deflection stiffness and the tower body total length.

[0047] According to another aspect of the present disclosure, there is provided a tower crane deflection calculation device, comprising:

[0048] an initial deflection determination module configured to determine an initial deflection of the tower crane according to a horizontal load and a bending moment of the tower crane;

[0049] An external force deflection determination module is configured to determine an additional deflection of the tower crane under an external force according to the first vertical load and the initial deflection, wherein the first vertical load is a concentrated weight borne by the upper part of the tower crane;

[0050] A self-weight deflection determination module is configured to determine an additional deflection of the tower crane under a self-weight according to the second vertical load and the initial deflection, wherein the second vertical load is a self-weight of the tower crane;

[0051] A total deflection determination module is configured to determine a total deflection of the tower crane according to the initial deflection, the additional deflection under the external force and the additional deflection under the self-weight.

[0052] According to another aspect of the present disclosure, there is provided a tower crane deflection calculation device, comprising:

[0053] A memory configured to store instructions;

[0054] A processor configured to execute the instructions, so that the tower crane deflection calculation device performs the tower crane deflection calculation method according to any one of the above embodiments.

[0055] According to another aspect of the present disclosure, there is provided a tower crane comprising the tower crane deflection calculation device according to any one of the above embodiments.

[0056] According to another aspect of the present disclosure, there is provided a computer readable storage medium, wherein the computer readable storage medium stores computer instructions, and the instructions are executed by a processor to implement the tower crane deflection calculation method according to any one of the above embodiments.

[0057] According to another aspect of the present disclosure, there is provided a computer program product comprising a computer program, wherein the computer program is executed by a processor to implement the tower crane deflection calculation method according to any one of the above embodiments.

[0058] The present disclosure analyzes additional deflections of a tower body under different vertical loads in the presence of an initial deflection, and performs a correction calculation on the deflection of the tower body, thereby improving the design calculation accuracy. BRIEF DESCRIPTION OF DRAWINGS

[0059] In order to more clearly illustrate the technical solutions of the embodiments of the present disclosure or the prior art, the following will briefly introduce the drawings needed to be used in the embodiments or prior art description. Obviously, the drawings in the following description are only some embodiments of the present disclosure, and for those skilled in the art, other drawings can also be obtained without creative labor on the basis of these drawings.

[0060] Figure 1A schematic diagram illustrating the calculation method for load deflection effect in related technologies.

[0061] Figure 2 This is a schematic diagram of some embodiments of the tower crane deflection calculation method disclosed herein.

[0062] Figure 3 This is a schematic diagram of some other embodiments of the tower crane deflection calculation method disclosed herein.

[0063] Figure 4 This is a schematic diagram of a simplified tower mechanics model in some embodiments of this disclosure.

[0064] Figure 5 This is a flowchart illustrating the method for calculating the additional deflection of the tower body in some embodiments of this disclosure.

[0065] Figure 6 This is a schematic diagram of some embodiments of the tower crane deflection calculation device disclosed herein.

[0066] Figure 7 This is a schematic diagram of the structure of some other embodiments of the tower crane deflection calculation device disclosed herein. Detailed Implementation

[0067] The technical solutions of the embodiments of this disclosure will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of this disclosure, and not all embodiments. The following description of at least one exemplary embodiment is merely illustrative and is in no way intended to limit this disclosure or its application or use. All other embodiments obtained by those skilled in the art based on the embodiments of this disclosure without creative effort are within the scope of protection of this disclosure.

[0068] Unless otherwise specifically stated, the relative arrangement, numerical expressions, and values ​​of the components and steps set forth in these embodiments do not limit the scope of this disclosure.

[0069] At the same time, it should be understood that, for ease of description, the dimensions of the various parts shown in the accompanying drawings are not drawn according to actual scale.

[0070] Techniques, methods, and equipment known to those skilled in the art may not be discussed in detail, but where appropriate, such techniques, methods, and equipment should be considered part of the specification.

[0071] In all examples shown and discussed herein, any specific values ​​should be interpreted as merely exemplary and not as limitations. Therefore, other examples of exemplary embodiments may have different values.

[0072] It should be noted that similar reference numerals and letters refer to like items in the accompanying drawings, and thus, once an item is defined in one drawing, it is not necessary to discuss it further in subsequent drawings.

[0073] The inventor has also found through research that the technical solutions of the related art generally decompose the load deflection effect calculation method. Figure 1 A schematic diagram of the load deflection effect calculation method of the related art is shown. The related art verifies the deflection according to the theory of elasticity, and the structural system is assumed to be linearly elastic. Designers design according to the method of linear superposition of independent loads, and calculate each load independently, as shown in Figure 1 The deflection effect of each load on the tower body is calculated by linear superposition, and the calculation process does not consider the influence of the vertical load deflection effect.

[0074] The technical solutions of the related art are based on geometrically linear structures, and each load is independent of each other, without considering the influence of the original load after structural deformation. This does not consider three aspects.

[0075] (1) The initial deflection caused by horizontal load and bending moment is not considered, and the additional bending moment effect caused by the initial deflection of the vertical load is not considered.

[0076] (2) The additional deflection effect caused by the additional bending moment is not considered.

[0077] (3) The mutual influence effect of the secondary additional deflection of the structure caused by the additional bending moment of the vertical load due to the additional deflection is not considered.

[0078] In combination with the above influences, the calculation scheme of the related art does not fully consider the additional bending moment and additional deflection effect generated on the structure, and there is a large deviation from the actual results, which poses a design safety risk.

[0079] The inventor has also found through research that the tower crane, as a typical high-rise structure, will produce initial deflection under the action of horizontal load and bending moment. The existence of initial deflection will further affect the deformation behavior of the tower under vertical load, thereby producing additional deflection, which has a great influence on the strength and stability of the tower.

[0080] In view of at least one of the above technical problems, the present disclosure provides a tower crane and a deflection calculation method and device thereof, a medium and a program product. The present disclosure will be described below through specific embodiments.

[0081] Figure 2 A schematic diagram of some embodiments of the deflection calculation method of the tower crane of the present disclosure is shown. Preferably, the present embodiment can be executed by the deflection calculation device of the tower crane of the present disclosure or the tower crane of the present disclosure. As shown in Figure 2 , Figure 2The method of the embodiment may include at least one of steps 200, 310 to 320, and 500.

[0082] In step 200, the initial deflection of the tower crane is determined based on the horizontal load and bending moment of the tower crane.

[0083] In step 310, the external force-added deflection of the tower crane is determined based on the first vertical load and the initial deflection, wherein the first vertical load is the concentrated weight received by the upper part of the tower crane.

[0084] In step 320, the self-weight additional deflection of the tower crane is determined based on the second vertical load and the initial deflection, wherein the second vertical load is the self-weight of the tower crane.

[0085] In step 330, the tower crane deflection is determined based on the initial deflection, the external force-added deflection, and the self-weight-added deflection.

[0086] The embodiments disclosed herein analyze the additional deflection of the tower body under different vertical loads in the presence of initial deflection, and propose a simple analytical correction calculation method for tower body deflection, which improves the accuracy of design calculation and can better ensure the safety of tower body design and use.

[0087] In some embodiments of this disclosure, step 330 may include: determining the mutual influence deflection of the external force-added deflection and the self-weight-added deflection based on the external force-added deflection and the self-weight-added deflection; and determining the tower crane deflection based on the initial deflection, the external force-added deflection, the self-weight-added deflection, and the mutual influence deflection.

[0088] The above embodiments of this disclosure propose an analytical calculation correction method for large deformation deflection of a tower body. The additional deflection generated by the concentrated weight at the top of the tower body and the self-weight of the tower body under the action of the initial deflection is calculated separately, and the mutual influence of the additional deflection of the two vertical loads is considered to finally obtain the tower body deflection correction value.

[0089] Figure 3 This diagram illustrates some other embodiments of the tower crane deflection calculation method disclosed herein. Preferably, this embodiment can be performed by the tower crane deflection calculation device or the tower crane itself. Figure 3 As shown, Figure 3 The method of the embodiment may include at least one of steps 100 to 500. Figure 3 Step 200 of the embodiment and Figure 2 Step 200 in the embodiment is the same or similar. Figure 3 Step 300 of the embodiment may include Figure 2At least one of step 310 and step 320 of the embodiment. Figure 2 Step 330 of the embodiment can include Figure 3 At least one of step 400 and step 500 of the embodiment.

[0090] In step 100, the tower mechanics model is simplified.

[0091] In some embodiments of the present disclosure, step 100 can include: simplifying the mechanics model of the tower structure and the load.

[0092] In some embodiments of the present disclosure, step 100 can include: simplifying the mechanics model of the tower structure and the load of the tower crane; determining the load of the tower crane, wherein the load includes horizontal load, vertical load and bending moment, the horizontal load includes the concentrated horizontal force of the upper part of the tower crane and the uniform distribution wind pressure of the tower crane itself, the vertical load includes the first vertical load and the second vertical load, and the bending moment is mainly the overturning moment of the upper part of the tower crane.

[0093] Figure 4 A schematic diagram of the tower mechanics simplified model in some embodiments of the present disclosure. In order to simplify the analysis and calculation, the mechanics model of the tower structure and the load is simplified, as shown in Figure 4 The tower is mainly subjected to three types of loads: horizontal load, vertical load and bending moment. As shown in Figure 4 The horizontal load is mainly from the wind force, including the concentrated horizontal force Fh of the upper part of the tower and the uniform distribution wind pressure P of the tower itself; the vertical load includes the concentrated weight G of the upper part of the tower and the self weight g of the tower itself; and the bending moment is mainly the overturning moment M of the upper part of the tower.

[0094] In step 200, the initial deflection Δ1 of the tower is calculated.

[0095] In some embodiments of the present disclosure, step 200 can include: determining the initial deflection of the tower crane according to the horizontal load and the bending moment of the tower crane.

[0096] In some embodiments of the present disclosure, step 200 can include: determining the initial deflection of the tower crane according to the concentrated horizontal force of the upper part of the tower crane, the uniform distribution wind pressure of the tower crane itself, the overturning moment of the upper part of the tower crane, the total length of the tower, the overall inertia moment of the tower and the elastic modulus of the tower.

[0097] In some embodiments of the present disclosure, step 200 can include: determining the initial deflection Δ1 of the tower crane according to formula (1).

[0098]

[0099] In formula (1), l is the total length of the tower body, I is the overall inertia moment of the tower body, and E is the elastic modulus of the tower body.

[0100] In step 300, an additional deflection effect of the vertical load is calculated.

[0101] In some embodiments of the present disclosure, step 300 can include calculating an additional deflection caused by the vertical load.

[0102] In some embodiments of the present disclosure, as shown in FIG. 3, step 300 can include at least one of steps 310 to 320. Figure 3

[0103] In step 310, an additional deflection effect of the upper vertical load G of the tower body is calculated.

[0104] In some embodiments of the present disclosure, step 310 can include calculating an additional deflection Δ G caused by the vertical load G.

[0105] In some embodiments of the present disclosure, step 310 can include determining an external force additional deflection Δ G of the tower crane according to the first vertical load G and the initial deflection Δ1, wherein the first vertical load G is a concentrated weight borne by the upper part of the tower crane.

[0106] In some embodiments of the present disclosure, step 310 can include at least one of steps 311 to 313.

[0107] In step 311, an influence of the initial deflection on the first vertical load is equivalent to a first horizontal load.

[0108] In some embodiments of the present disclosure, step 311 can include, for the purpose of simplifying calculation, equivalent to a horizontal load Q G1 by means of a virtual horizontal load equivalent method, an influence of displacement effect (initial deflection Δ1) on the vertical load G.

[0109]

[0110] In step 312, a first deflection stiffness K Δ is determined according to the initial deflection and the first horizontal load.

[0111] In some embodiments of the present disclosure, step 312 can include assuming that a horizontal force required for the tower body to generate a unit deflection is a deflection stiffness K Δ ; and determining the first deflection stiffness K Δ according to formula (3).

[0112] ​

[0113] In step 313, an external force additional deflection of the tower crane is determined according to the first vertical load, the initial deflection, the first deflection stiffness and the total length of the tower.

[0114] Figure 5 A flowchart of the method for calculating the tower additional deflection in some embodiments of the present disclosure is shown in FIG. 4. As shown in FIG. 4, the method for calculating the external force additional deflection of the tower crane can include at least one of steps 1 to 5. Figure 5

[0115] In step 1, an initial deflection is generated according to the lateral load and the bending moment.

[0116] In some embodiments of the present disclosure, step 1 can be implemented as Figure 2 or Figure 3 Step 200 of the embodiments.

[0117] In step 2, an additional bending moment caused by the vertical load is calculated.

[0118] In some embodiments of the present disclosure, step 2 can include: calculating a second additional bending moment M G2 .

[0119] In some embodiments of the present disclosure, step 2 can include: determining the second additional bending moment M G2 according to formula (4).

[0120] M G2 = G * Δ1 (4)

[0121] In step 3, an additional deflection is calculated according to the additional bending moment.

[0122] In some embodiments of the present disclosure, step 3 can include at least one of steps 31 to 32.

[0123] In step 31, the second additional bending moment M G2 is equivalent to a second horizontal load Q G2 , as shown in formula (5).

[0124]

[0125] In step 32, a second external force additional deflection Δ G2 of the tower crane is determined according to the second additional bending moment M GΔ , the initial deflection Δ1, the first deflection stiffness K G2 and the total length of the tower l.

[0126] ​In some embodiments of the present disclosure, step 32 can comprise: calculating an additional deflection Δ caused by the initial deflection Δ1 to the tower structure due to the additional bending moment of the vertical load G G2 , as shown in equation (6).

[0127]

[0128] In step 4, it is determined whether the additional deflection converges. In the case of convergence of the additional deflection, step 5 is performed; otherwise, in the case of non-convergence of the additional deflection, step 2 is performed, i.e., steps 2 to 4 are repeatedly performed.

[0129] In some embodiments of the present disclosure, step 4 can comprise: determining whether the second additional deflection converges. In the case of convergence of the second additional deflection, step 5 is performed; otherwise, in the case of non-convergence of the second additional deflection, step 2 is performed, i.e., steps 2 to 4 are repeatedly performed.

[0130] In step 5, deflection superposition is performed to obtain a final additional deflection.

[0131] In some embodiments of the present disclosure, step 5 can comprise: in the case of convergence of the second additional deflection, taking the second additional deflection as the final additional deflection.

[0132] In some embodiments of the present disclosure, as shown in equation (7), in the case of non-convergence of the second additional deflection, the method for calculating the additional deflection of the tower crane can further comprise: performing step 2, i.e., repeatedly performing steps 2 to 5. Specifically: Figure 5

[0133] In step 2, a third additional bending moment of the first vertical load under the action of the second additional deflection is calculated.

[0134] In step 3, a third additional deflection of the tower crane is determined according to the third additional bending moment, the first deflection stiffness and the total length of the tower.

[0135] In some embodiments of the present disclosure, steps 2 and 3 can comprise: referring to equations (4)-(6), a third additional deflection Δ G2 of the first vertical load G caused by the second additional deflection Δ G3 is calculated, as shown in equation (7).

[0136]

[0137] In step 4, it is determined whether the third additional deflection converges. In the case of non-convergence of the second additional deflection, steps 2 to 5 are repeatedly performed again.​

[0138] In step 5, in the case that the third additional deflection converges, the second additional deflection is superimposed to the third additional deflection as the final additional deflection.

[0139] In some embodiments of the present disclosure, as shown in FIG. 2, in the case that the n-th additional deflection does not converge, the method for calculating the additional deflection of the tower crane under external force can further comprise: performing step 2, i.e., repeatedly performing steps 2-5. Specifically: Figure 5

[0140] In step 2, the n+1-th additional bending moment of the first vertical load under the n-th additional deflection is calculated, wherein n is a natural number greater than or equal to 2.

[0141] In step 3, the n+1-th additional deflection of the tower crane is determined according to the n+1-th additional bending moment, the first deflection stiffness and the total length of the tower body.

[0142] In some embodiments of the present disclosure, steps 2 and 3 can comprise: referring to the similar formula (4)-(7), and iteratively repeating in this way, the n+1-th additional deflection Δ Gn of the first vertical load G caused by the n-th additional deflection Δ G(n+1) , specifically as shown in formula (8).

[0143]

[0144] In step 4, it is determined whether the n+1-th additional deflection converges. In the case that the n+1-th additional deflection does not converge, the n+1-th additional deflection is taken as the n-th additional deflection, and the steps of calculating the n+1-th additional bending moment of the first vertical load under the n-th additional deflection, determining the n+1-th additional deflection of the tower crane according to the n+1-th additional bending moment, the first deflection stiffness and the total length of the tower body, and determining whether the n+1-th additional deflection converges are repeatedly performed, i.e., steps 2-5 are repeatedly performed.

[0145] In step 5, in the case that the n+1-th additional deflection converges, the second additional deflection is superimposed to the n+1-th additional deflection as the final additional deflection.

[0146] In some embodiments of the present disclosure, step 5 can comprise: calculating the final additional deflection Δ G of the vertical load G according to formula (9).

[0147] Δ G = Δ​G2 + Δ G3 + Δ G4 +…+ Δ G(n+1) (9)

[0148] In some embodiments of the present disclosure, step 5 can further include: bringing formula (8) into formula (9) to obtain formula (10) and formula (11).

[0149]

[0150] In some embodiments of the present disclosure, step 5 can further include: calculating formula (11) to obtain the final additional deflection Δ G of the first vertical load G, as shown in formula (12).

[0151]

[0152] In some embodiments of the present disclosure, step 310 can include: determining the external force additional deflection of the tower crane according to the first vertical load, the initial deflection, the total length of the tower body, the overall inertia moment of the tower body, and the elastic modulus of the tower body.

[0153] In some embodiments of the present disclosure, step 310 can include: bringing formula (3) deflection stiffness K Δ into formula (12) to obtain the final additional deflection Δ G of the first vertical load G, as shown in formula (13).

[0154]

[0155] The above embodiments of the present disclosure, when calculating the additional deflection caused by a single vertical load, first calculate the additional deflection caused by the vertical load under the influence of the initial deflection, and then calculate the secondary additional deflection caused by the vertical load under the influence of the additional deflection. The distribution is obtained by continuously repeating the iteration mode, and then superimposed to obtain the final deflection of the single vertical load.

[0156] In step 320, the additional deflection effect of the self-weight g of the tower body (the second vertical load) is calculated.

[0157] In some embodiments of the present disclosure, step 320 can include: calculating the self-weight additional deflection Δ g caused by the self-weight g of the tower body.

[0158] In some embodiments of the present disclosure, step 320 can include at least one of steps 321 to 323.

[0159] In step 321, the influence of the initial deflection on the second vertical load is equivalent to a second horizontal load.

[0160] In some embodiments of the present disclosure, step 321 can comprise: equivalent the influence of displacement effect (initial deflection Δ1) on tower body self weight g into horizontal load Q g1 As shown in formula (14).

[0161]

[0162] In step 322, according to the initial deflection and the second horizontal load, determine the second deflection stiffness.

[0163] In step 323, according to the second vertical load, the initial deflection, the second deflection stiffness and the total length of tower body, determine the self weight additional deflection Δ g .

[0164] In some embodiments of the present disclosure, step 320 can comprise: according to the second vertical load, the initial deflection, the total length of tower body, the overall moment of inertia of tower body and the elastic modulus of tower body, determine the self weight additional deflection Δ g .

[0165] In some embodiments of the present disclosure, step 320 can comprise: the final additional deflection Δ G Calculation method (such as formula (1) to (13), Figure 5 Embodiments, at least one step of steps 311 to 313), and so on, the final additional deflection Δ g As shown in formula (15).

[0166]

[0167] In step 400, calculate the mutual influence of different vertical load additional deflections.

[0168] In some embodiments of the present disclosure, step 400 can comprise: calculate the mutual influence of different vertical load (concentrated weight G on the upper part of tower body and self weight g on the tower body itself) additional deflections.

[0169] In some embodiments of the present disclosure, step 400 can comprise: according to the external force additional deflection and the self weight additional deflection, determine the mutual influence deflection Δ Gg .

[0170] In some embodiments of the present disclosure, step 400 can comprise: according to the first vertical load G, the second vertical load g, the initial deflection Δ1, the total length of tower body l, the overall moment of inertia of tower body I and the elastic modulus of tower body E, determine the mutual influence deflection ΔGg .

[0171] In some embodiments of the present disclosure, step 400 can comprise determining the mutual influence deflection Δ Gg .

[0172]

[0173] In step 500, the final deflection Δ of the tower body is calculated.

[0174] In some embodiments of the present disclosure, step 500 can comprise determining the tower crane deflection Δ according to the initial deflection Δ1, the external force additional deflection Δ G , the self-weight additional deflection Δ g , and the mutual influence deflection Δ Gg .

[0175] In some embodiments of the present disclosure, step 500 can comprise determining the tower crane deflection Δ according to formula (17).

[0176] Δ = Δ1 + Δ G + Δ g + Δ Gg (17)

[0177] The above embodiments of the present disclosure respectively calculate the additional bending moment and additional deflection caused by the initial deflection under different vertical loads, then calculate the mutual influence of the additional deflections under two vertical loads, and then linearly superimpose to obtain the correction value of the tower body deflection.

[0178] The above embodiments of the present disclosure propose a large deformation deflection analytical calculation correction method for tower cranes.

[0179] The above embodiments of the present disclosure simplify the mechanical model of the tower body structure and load based on the working characteristics of the tower body, superimpose the deflection effect of the vertical load and the horizontal load and bending moment on the additional lateral displacement influence, and propose a simplified tower body deflection analytical correction calculation method, which improves the design calculation accuracy.

[0180] The above embodiments of the present disclosure propose a large deformation deflection analytical calculation correction method for tower bodies, consider the influence of large deformation, analyze the additional deflection caused by different vertical loads on the tower body, and propose a simple tower body deflection calculation method to correct the tower body calculation result.

[0181] Since the horizontal load and bending moment of the tower body will produce an initial deflection, the above embodiments of the present disclosure consider the additional bending moment effect and additional deflection effect of the vertical load caused by the initial deflection, which improves the design calculation accuracy and better ensures the safety of the tower body design and use.

[0182] Figure 6FIG. 1 is a schematic diagram of some embodiments of the tower crane deflection calculation device of the present disclosure. As shown in FIG. 1, the tower crane deflection calculation device of the present disclosure can include an initial deflection determination module 61, an external force deflection determination module 62, a self-weight deflection determination module 63, and a total deflection determination module 64. Figure 6

[0183] The initial deflection determination module 61 is configured to determine the initial deflection of the tower crane according to the horizontal load and the bending moment of the tower crane.

[0184] In some embodiments of the present disclosure, the initial deflection determination module 61 can be configured to determine the initial deflection of the tower crane according to the concentrated horizontal force on the upper part of the tower crane, the uniform distribution wind pressure of the tower crane itself, the overturning moment of the upper part of the tower crane, the total length of the tower body, the overall inertia moment of the tower body, and the elastic modulus of the tower body.

[0185] The external force deflection determination module 62 is configured to determine the external force additional deflection of the tower crane according to the first vertical load and the initial deflection, wherein the first vertical load is the concentrated weight received by the upper part of the tower crane.

[0186] In some embodiments of the present disclosure, the external force deflection determination module 62 can be configured to determine the external force additional deflection of the tower crane according to the first vertical load, the initial deflection, the total length of the tower body, the overall inertia moment of the tower body, and the elastic modulus of the tower body.

[0187] In some embodiments of the present disclosure, the external force deflection determination module 62 can be configured to equivalent the influence of the initial deflection on the first vertical load into a first horizontal load; determine a first deflection stiffness according to the initial deflection and the first horizontal load; and determine the external force additional deflection of the tower crane according to the first vertical load, the initial deflection, the first deflection stiffness, and the total length of the tower body.

[0188] In some embodiments of the present disclosure, in the case where the external force deflection determination module 62 determines the external force additional deflection of the tower crane according to the first vertical load, the initial deflection, the first deflection stiffness, and the total length of the tower body, the external force deflection determination module 62 can be configured to calculate a second additional bending moment of the first vertical load under the action of the initial deflection; determine a second external force additional deflection of the tower crane according to the second additional bending moment, the first deflection stiffness, and the total length of the tower body; determine whether the second external force additional deflection converges; and in the case where the second external force additional deflection converges, take the second external force additional deflection as the final external force additional deflection.

[0189] ​In some embodiments of the present disclosure, the external force deflection determination module 62, in the case of determining the external force additional deflection of the tower crane according to the first vertical load, the initial deflection, the first deflection stiffness and the total length of the tower body, can be further configured to, in the case that the second external force additional deflection does not converge, calculate a third additional bending moment of the first vertical load under the action of the second external force additional deflection; determine a third external force additional deflection of the tower crane according to the third additional bending moment, the first deflection stiffness and the total length of the tower body; judge whether the third external force additional deflection converges; and in the case that the third external force additional deflection converges, superimpose the second external force additional deflection to the third external force additional deflection as a final external force additional deflection.

[0190] In some embodiments of the present disclosure, the external force deflection determination module 62, in the case of determining the external force additional deflection of the tower crane according to the first vertical load, the initial deflection, the first deflection stiffness and the total length of the tower body, can be further configured to, in the case that the n-th external force additional deflection does not converge, calculate an (n+1)-th additional bending moment of the first vertical load under the action of the n-th external force additional deflection, where n is a natural number greater than or equal to 2; determine an (n+1)-th external force additional deflection of the tower crane according to the (n+1)-th additional bending moment, the first deflection stiffness and the total length of the tower body; judge whether the (n+1)-th external force additional deflection converges; and in the case that the (n+1)-th external force additional deflection converges, superimpose the second external force additional deflection to the (n+1)-th external force additional deflection as a final external force additional deflection.

[0191] In some embodiments of the present disclosure, the external force deflection determination module 62, in the case of determining the external force additional deflection of the tower crane according to the first vertical load, the initial deflection, the first deflection stiffness and the total length of the tower body, can be further configured to, in the case that the (n+1)-th external force additional deflection does not converge, repeat the operations of calculating an (n+1)-th additional bending moment of the first vertical load under the action of the n-th external force additional deflection, determining an (n+1)-th external force additional deflection of the tower crane according to the (n+1)-th additional bending moment, the first deflection stiffness and the total length of the tower body, and judging whether the (n+1)-th external force additional deflection converges, by taking the (n+1)-th external force additional deflection as the n-th external force additional deflection.

[0192] The self-weight deflection determination module 63 is configured to determine a self-weight additional deflection of the tower crane according to a second vertical load and the initial deflection, where the second vertical load is the self-weight of the tower crane.

[0193] In some embodiments of the present disclosure, the self-weight deflection determination module 63 can be configured to determine the self-weight additional deflection of the tower crane according to the second vertical load, the initial deflection, the total length of the tower body, the overall inertia moment of the tower body and the elastic modulus of the tower body.

[0194] In some embodiments of the present disclosure, the self-weight deflection determination module 63 can be configured to equivalent the influence of the initial deflection on the second vertical load into a second horizontal load; determine a second deflection stiffness according to the initial deflection and the second horizontal load; and determine the self-weight additional deflection of the tower crane according to the second vertical load, the initial deflection, the second deflection stiffness and the total length of the tower body.

[0195] The total deflection determination module 64 is configured to determine the deflection of the tower crane according to the initial deflection, the external force additional deflection and the self-weight additional deflection.

[0196] In some embodiments of the present disclosure, the total deflection determination module 64 is configured to determine a mutual influence deflection of the external force additional deflection and the self-weight additional deflection according to the external force additional deflection and the self-weight additional deflection; and determine the deflection of the tower crane according to the initial deflection, the external force additional deflection, the self-weight additional deflection and the mutual influence deflection.

[0197] In some embodiments of the present disclosure, the tower crane deflection calculation device can also be configured to simplify the mechanical model of the tower body structure and the load of the tower crane; and determine the load of the tower crane, wherein the load includes horizontal load, vertical load and bending moment, the horizontal load includes the concentrated horizontal force of the upper part of the tower crane and the horizontal air pressure of the tower crane itself, the vertical load includes the first vertical load and the second vertical load, and the bending moment is mainly the overturning moment of the upper part of the tower crane.

[0198] In some embodiments of the present disclosure, the tower crane deflection calculation device of the present disclosure can also be configured to perform the tower crane deflection calculation method of any one of the above-mentioned embodiments of the present disclosure.

[0199] The above-mentioned embodiments of the present disclosure provide a tower crane deflection calculation device, which can analytically calculate and correct the large deformation deflection of the tower body, simplify the mechanical model of the tower body structure and the load based on the working characteristics of the tower body, analyze the additional deflection of the tower body caused by different vertical loads in the presence of the initial deflection, and propose a simple analytical correction calculation method for the deflection of the tower body, thereby improving the design calculation accuracy and better ensuring the safety of the tower body design and use.

[0200] Figure 7 FIG. 1 is a structural schematic diagram of another embodiment of the tower crane deflection calculation device of the present disclosure. As shown in FIG. 1, the tower crane deflection calculation device of the present disclosure can include a load determination module 61, a deflection determination module 62, a self-weight deflection determination module 63 and a total deflection determination module 64.Figure 7 As shown, the tower crane deflection calculation device includes a memory 71 and a processor 72.

[0201] The memory 71 is used to store instructions, and the processor 72 is coupled to the memory 71. The processor 72 is configured to implement the tower crane deflection calculation method according to any of the above embodiments of this disclosure based on the instructions stored in the memory.

[0202] like Figure 7 As shown, the tower crane deflection calculation device also includes a communication interface 73 for information exchange with other devices. Additionally, the tower crane deflection calculation device includes a bus 74, through which the processor 72, communication interface 73, and memory 71 communicate with each other.

[0203] The memory 71 may include high-speed RAM, and may also include non-volatile memory, such as at least one disk drive. The memory 71 may also be a memory array. The memory 71 may also be divided into blocks, and these blocks may be combined into virtual volumes according to certain rules.

[0204] Furthermore, processor 72 may be a central processing unit (CPU), an application-specific integrated circuit (ASIC), or one or more integrated circuits configured to implement embodiments of the present disclosure.

[0205] According to another aspect of this disclosure, a tower crane is provided, including a tower crane deflection calculation device as described in any of the above embodiments.

[0206] According to another aspect of this disclosure, a computer program product is provided, comprising a computer program, wherein when the computer program is executed by a processor, it implements the tower crane deflection calculation method as described in any of the above embodiments.

[0207] According to another aspect of this disclosure, a computer-readable storage medium is provided, wherein the computer-readable storage medium stores computer instructions that, when executed by a processor, implement the tower crane deflection calculation method as described in any of the above embodiments.

[0208] In some embodiments of this disclosure, the computer-readable storage medium may be a non-transitory computer-readable storage medium.

[0209] The tower crane deflection calculation method provided by the above-mentioned embodiments of the present disclosure is a large deformation deflection analytical calculation correction method for a tower body. The above-mentioned embodiments of the present disclosure first simplify the mechanical model of the tower body structure and load based on the working characteristics of the tower body, and analyze the additional deflection of the tower body caused by different vertical loads in the presence of initial deflection. The above-mentioned embodiments of the present disclosure also consider the mutual influence of the additional deflections of the two vertical loads, and finally calculate the corrected value of the tower body deflection, thereby improving the design calculation accuracy and better ensuring the safety of the tower body design and use.

[0210] Those skilled in the art will appreciate that embodiments of the present disclosure can be provided as methods, apparatuses, or computer program products. Therefore, the present disclosure can take the form of an entirely hardware embodiment, an entirely software embodiment, or an embodiment combining software and hardware aspects. Moreover, the present disclosure can take the form of a computer program product implemented on one or more computer-usable non-transitory storage media (including, but not limited to, disk storage, CD-ROMs, optical storage, etc.) containing computer-usable program code.

[0211] The present disclosure is described with reference to flowcharts and / or block diagrams of methods, devices (systems) and computer program products according to embodiments of the present disclosure. It should be understood that each flow and / or block in the flowcharts and / or block diagrams, as well as combinations of flows and / or blocks in the flowcharts and / or block diagrams, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, a special-purpose computer, an embedded processor, or other programmable data processing apparatus to produce a machine, so that the instructions executed by the processor of the computer or other programmable data processing apparatus produce a means for implementing the functions specified in the flowcharts and / or block diagrams. Figure 1 one or more flows and / or blocks Figure 1 an apparatus that performs the functions specified in one or more flows and / or blocks.

[0212] These computer program instructions can also be stored in a computer-readable memory that can direct the computer or other programmable data processing apparatus to work in a specific manner, so that the instructions stored in the computer-readable memory produce a product including instruction apparatus, which implements the functions specified in the flowcharts and / or block diagrams. Figure 1 one or more flows and / or blocks Figure 1 an apparatus that performs the functions specified in one or more flows and / or blocks.

[0213] These computer program instructions can also be loaded onto a computer or other programmable data processing apparatus, so that a series of operation steps are performed on the computer or other programmable data processing apparatus to produce a computer-implemented process, so that the instructions executed on the computer or other programmable data processing apparatus provide a means for implementing the functions specified in the flowcharts and / or block diagrams. Figure 1 one or more flows and / or blocks Figure 1 an apparatus that performs the functions specified in one or more flows and / or blocks.

[0214] The tower crane deflection calculation device, the initial deflection determination module, the external force deflection determination module, the self-weight deflection determination module and the total deflection determination module described above can be implemented as a general processor, a programmable logic controller (PLC), a digital signal processor (DSP), an application specific integrated circuit (ASIC), a field programmable gate array (FPGA) or other programmable logic device, a discrete gate or transistor logic device, a discrete hardware component or any appropriate combination thereof for performing the functions described in the present application.

[0215] So far, the present disclosure has been described in detail. In order to avoid obscuring the concept of the present disclosure, some details known in the art are not described. Those skilled in the art can fully understand how to implement the technical solutions disclosed herein according to the above description.

[0216] Those of ordinary skill in the art can understand that all or part of the steps of the above-mentioned embodiments can be completed by hardware, or by a program instructing relevant hardware, and the program can be stored in a non-transitory computer-readable storage medium, such as a read-only memory, a magnetic disk or an optical disk.

[0217] The description of the present disclosure is given for the purpose of illustration and description, and is not exhaustive or limiting to the present disclosure. Many modifications and variations will be apparent to those of ordinary skill in the art. The embodiments are chosen and described in order to better illustrate the principles and practical application of the present disclosure, and to enable others skilled in the art to understand the present disclosure in order to design various embodiments with various modifications for specific use.

Claims

1. A tower crane deflection calculation method, comprising: determining an initial deflection of a tower crane according to horizontal loads and bending moments of the tower crane; determining an external force additional deflection of the tower crane according to a first vertical load and the initial deflection, wherein the first vertical load is a concentrated weight received by an upper part of the tower crane; determining a self-weight additional deflection of the tower crane according to a second vertical load and the initial deflection, wherein the second vertical load is a self-weight of the tower crane; determining a deflection of the tower crane according to the initial deflection, the external force additional deflection and the self-weight additional deflection.

2. The tower crane deflection calculation method of claim 1, wherein, determining a deflection of the tower crane according to the initial deflection, the external force additional deflection and the self-weight additional deflection comprises: determining a mutual influence deflection of the external force additional deflection and the self-weight additional deflection according to the external force additional deflection and the self-weight additional deflection; determining a deflection of the tower crane according to the initial deflection, the external force additional deflection, the self-weight additional deflection and the mutual influence deflection. 3.The tower crane deflection calculation method according to claim 1 or 2, further comprising: simplifying a mechanical model of a tower body structure and loads of the tower crane; determining loads of the tower crane, wherein the loads comprise horizontal loads, vertical loads and bending moments, the horizontal loads comprise a concentrated horizontal force of the upper part of the tower crane and a horizontal distribution wind pressure of the tower crane itself, the vertical loads comprise the first vertical load and the second vertical load, and the bending moments mainly comprise a tipping moment of the upper part of the tower crane.

4. The tower crane deflection calculation method according to claim 1 or 2, wherein, determining an initial deflection of a tower crane according to horizontal loads and bending moments of the tower crane comprises: determining the initial deflection of the tower crane according to the concentrated horizontal force of the upper part of the tower crane, the horizontal distribution wind pressure of the tower crane itself, the tipping moment of the upper part of the tower crane, a total length of the tower body, a total moment of inertia of the tower body and an elastic modulus of the tower body.

5. The tower crane deflection calculation method according to claim 1 or 2, wherein, determining an external force additional deflection of the tower crane according to a first vertical load and the initial deflection comprises: determining the external force additional deflection of the tower crane according to the first vertical load, the initial deflection, the total length of the tower body, the total moment of inertia of the tower body and the elastic modulus of the tower body.

6. The tower crane deflection calculation method of claim 1 or 2, wherein, determining an external force additional deflection of the tower crane according to a first vertical load and the initial deflection comprises: equivalent the influence of the initial deflection on the first vertical load to a first horizontal load; determining a first deflection stiffness according to the initial deflection and the first horizontal load; determining the external force additional deflection of the tower crane according to the first vertical load, the initial deflection, the first deflection stiffness and the total length of the tower body.

7. The tower crane deflection calculation method according to claim 1 or 2, wherein, determining the external force additional deflection of the tower crane according to the first vertical load, the initial deflection, the first deflection stiffness and the total length of the tower body comprises: calculating a second additional bending moment of the first vertical load under the initial deflection; determining a second external force additional deflection of the tower crane according to the second additional bending moment, the first deflection stiffness and the total length of the tower body; determining whether the second external force additional deflection converges; In a case where the second additional deflection converges, the second additional deflection is taken as the final additional deflection.

8. The tower crane deflection calculation method of claim 7, wherein, The method for determining the additional deflection of the tower crane further comprises: In a case where the second additional deflection does not converge, a third additional bending moment of the first vertical load under the action of the second additional deflection is calculated; A third additional deflection of the tower crane is determined according to the third additional bending moment, the first deflection stiffness and the total length of the tower body; It is judged whether the third additional deflection converges or not; In a case where the third additional deflection converges, the second additional deflection is superimposed to the third additional deflection as the final additional deflection.

9. The tower crane deflection calculation method of claim 7, wherein, The method for determining the additional deflection of the tower crane further comprises: In a case where the n-th additional deflection does not converge, an n+1-th additional bending moment of the first vertical load under the action of the n-th additional deflection is calculated, wherein n is a natural number greater than or equal to 2; An n+1-th additional deflection of the tower crane is determined according to the n+1-th additional bending moment, the first deflection stiffness and the total length of the tower body; It is judged whether the n+1-th additional deflection converges or not; In a case where the n+1-th additional deflection converges, the second additional deflection is superimposed to the n+1-th additional deflection as the final additional deflection.

10. The tower crane deflection calculation method of claim 9, wherein, The method for determining the additional deflection of the tower crane further comprises: In a case where the n+1-th additional deflection does not converge, the n+1-th additional deflection is taken as the n-th additional deflection, and the steps of calculating the n+1-th additional bending moment of the first vertical load under the action of the n-th additional deflection, determining the n+1-th additional deflection of the tower crane according to the n+1-th additional bending moment, the first deflection stiffness and the total length of the tower body, and judging whether the n+1-th additional deflection converges or not are repeatedly performed.

11. The tower crane deflection calculation method of claim 1 or 2, wherein, The method for determining the additional deflection of the tower crane further comprises: The self-weight additional deflection of the tower crane is determined according to the second vertical load and the initial deflection.

12. The tower crane deflection calculation method of claim 1 or 2, wherein, The self-weight additional deflection of the tower crane is determined according to the second vertical load, the initial deflection, the total length of the tower body, the overall inertia moment of the tower body and the elastic modulus of the tower body. The self-weight additional deflection of the tower crane is determined according to the second vertical load and the initial deflection. The influence of the initial deflection on the second vertical load is equivalent to a second horizontal load; A second deflection stiffness is determined according to the initial deflection and the second horizontal load; The self-weight additional deflection of the tower crane is determined according to the second vertical load, the initial deflection, the second deflection stiffness and the total length of the tower body.

13. A tower crane deflection calculation device, comprising: An initial deflection determination module configured to determine an initial deflection of a tower crane according to a horizontal load and a bending moment of the tower crane; The external force deflection determination module is configured to determine an external force additional deflection of the tower crane according to the first vertical load and the initial deflection, wherein the first vertical load is a concentrated weight borne by an upper part of the tower crane; The self-weight deflection determination module is configured to determine a self-weight additional deflection of the tower crane according to the second vertical load and the initial deflection, wherein the second vertical load is a self-weight of the tower crane; The total deflection determination module is configured to determine a total deflection of the tower crane according to the initial deflection, the external force additional deflection and the self-weight additional deflection.

14. A tower crane deflection calculation device, comprising: a memory configured to store instructions; a processor configured to execute the instructions, so that the tower crane deflection calculation device performs the tower crane deflection calculation method according to any one of claims 1-12.

15. A tower crane comprising the tower crane deflection calculation device according to claim 13 or 14.

16. A computer readable storage medium, wherein, The computer readable storage medium stores computer instructions, and the instructions, when executed by a processor, implement the tower crane deflection calculation method according to any one of claims 1-12.

17. A computer program product comprising a computer program, wherein, The computer program, when executed by a processor, implements the tower crane deflection calculation method according to any one of claims 1-12. The computer program, when executed by a processor, implements the tower crane deflection calculation method according to any one of claims 1-12.

Images