[0045] Example 1
[0046] figure 1 Shows a schematic diagram of the telescopic boom modeling.
[0047] figure 2 The flow chart of the integrated optimization method for the static model of the crane's full boom is shown.
[0048] image 3 Shows the NURBS curve diagram of the basic boom section of the boom.
[0049] Such as figure 1 with figure 2 As shown, the integrated optimization method of the static model of a crane full-reach of the present invention includes:
[0050] Step S100: Optimize and integrate ANSYS and ISIGHT to analyze the input parameters in the input file required to establish the full-reach model; Step S200: Use ANSYS software to build the full-reach static model; and Step S300: Combine ISIGHT with ANSYS A joint simulation analysis is performed to obtain the optimal solution of the static model of the full extension arm.
[0051] The specific implementation manner of optimizing integration through ANSYS and ISIGHT is: the ANSYS is optimizing integration with ISIGHT through APDL language.
[0052] Optionally, the static model of the full reach in the step S200 is based on a cubic NURBS curve.
[0053] The method for obtaining the optimal solution of the static model of the full extension arm in the step S300 includes:
[0054] Step S310: Analyze the output file after the co-simulation analysis to obtain the target value of the volume objective function and the constraint value of the constraint condition required for the optimization of the full boom; and step S320, use ISIGHT to optimize until the output meets the constraint condition The optimized value is the output of the optimal solution.
[0055] The method for establishing the static model of the full extension based on the cubic NURBS curve in ANSYS software includes: establishing the static model of the full extension based on the design variables, objective function and constraint conditions of the full extension model.
[0056] The design variables, objective functions and constraint conditions corresponding to the full-reach model are as follows:
[0057] The design variable X is the set of design variables of the full extension arm, namely
[0058] X=[H, W, M, R 1 ~R 6 ] T ,
[0059] In the formula, H is the height of the basic boom in the full boom, W is the width of the basic boom, M is the weight of the cubic NURBS curve of the lower section of the boom (the whole boom is called the boom), and R1~R6 are respectively The thickness of the upper half section of the basic arm;
[0060] The objective function is the volume objective function, namely
[0061] min f=V,
[0062] In the formula, min f is the volume objective function of the boom; and
[0063] Restrictions
[0064] 0.8≤M≤1.0, 0.57≤H≤0.612, 0.37≤W≤0.404
[0065] 0≤DOF≤0.5, DD 1 , DD 2 ,...DD 9 ≤4.84×10 8 ,
[0066] In the formula, DOF is the deflection value constraint of the boom; DD 1 ~DD 9 It is the stress constraint of 9 nodes at the dangerous section of the boom.
[0067] If the full boom is a five-stretch telescopic boom (with a basic boom, one boom, two booms, three booms, four booms, and five booms), then the objective function and constraint conditions for the telescopic boom as follows:
[0068] design variable
[0069] X=[H, W, M, R 1 ~R 6 ] T ,
[0070] In the formula, the design variables of the telescopic boom are grouped in X; H is the height of the basic boom in the telescopic boom; W is the width of the basic boom; M is the weight of the cubic NURBS curve of the lower section of the telescopic boom; R1~R6 respectively Is the thickness of the upper half section of the basic arm;
[0071] The objective function is the volume objective function, namely
[0072] min f=V,
[0073] Where min f is the volume objective function of the telescopic boom; and
[0074] The constraints
[0075] 0.8≤M≤1.0, 0.57≤H≤0.612, 0.37≤W≤0.404
[0076] 0≤DOF≤0.5, DD 1 , DD 2 ,...DD 9 ≤4.84×10 8
[0077] R 1 , R 2 , R 3 ∈[0.0050, 0.0060, 0.0070]
[0078] R 4 , R 5 ∈[0.0040, 0.0050, 0.0060]
[0079] R 6 ∈[0.0030, 0.0040, 0.0050],
[0080] In the formula, DOF is the deflection value constraint of the telescopic boom; DD 1 ~DD 9 Is the stress constraint of 9 nodes at the dangerous section of the selected telescopic boom, such as image 3 As shown, where A(S1), B(S2), C(S3), E(S4), F(S5), G(S6), I(S7), D(S8), H(S9) are The 9 nodes.
[0081] The specific implementation steps of this embodiment 1 are as follows:
[0082] The present invention takes the SQS500A telescopic boom as an example, and the initial values mainly related to the design variables are shown in Table 1;
[0083] Table 1 Initial values of design parameters
[0084]
[0085]
[0086] In the working process of the telescopic boom, three parts of the force need to be considered: the vertical downward lifting weight F1, the maximum lifting weight of the design model in this embodiment is 10 tons, so F3=49000N; along the boom The pulling force of the rope towards the end of the arm is F4=F3/6≈16333N; the weight of the boom itself is G=ρ vg, and ρ is taken as 7800kg/m3. The input direction of the gravity acceleration g in ANSYS is opposite to the actual gravity direction. The modeling situation of the boom is as figure 1 As shown, in this embodiment, a five-stretch full-reach boom is taken as an example, which has a basic arm 1, a one-piece arm 2, a two-section arm 3, a three-section arm 4, a four-section arm 5, and a five-section arm 6.
[0087] According to the above parameters, an optimized mathematical model of the telescopic boom can be established.
[0088] X=[H, W, M, R 1 ~R 6 ] T
[0089] min f=V
[0090] 0.8≤M≤1.0, 0.57≤H≤0.612, 0.37≤W≤0.404
[0091] 0≤DOF≤0.5, DD 1 , DD 2 ,...DD 9 ≤4.84×10 8
[0092] R 1 , R 2 , R 3 ∈[0.0050, 0.0060, 0.0070]
[0093] R 1 , R 5 ∈[0.0040, 0.0050, 0.0060]
[0094] R 6 ∈[0.0030, 0.0040, 0.0050]
[0095] Among them, in the design variable set X, H is the height of the basic boom; W is the width of the basic boom; M is the weight of the cubic NURBS curve of the lower section of the telescopic boom; min f is the volume objective function of the telescopic boom; R1~ R6 is the plate thickness of the upper half section of the basic boom; DOF is the deflection value constraint of the telescopic boom; DD1~DD9 are the stress constraints of the 9 main nodes at the dangerous section of the selected telescopic boom.
[0096] The correction formula for the constraint condition value of 484MPa in this implementation is as follows:
[0097] The strength design criterion is the maximum strength Von Mises stress σ generated in the structure max Not more than the strength allowable stress [σ] of the structural material. The boom of this subject uses high-strength steel Q690 in order to effectively reduce the weight of the boom. Due to the tensile strength σ of Q690 b 770~940MPa, take the middle value σ b =855MPa; yield strength σ s =690MPa, then there is σ s /σ b =0.807>0.7. The strength allowable stress value of the boom is calculated as follows:
[0098] (When σ s /σ b <0.7 hours)
[0099] [ σ ] = 0.5 σ s + 0.35 σ b 1.33 = 0.5 * 690 + 0.35 * 855 1.33 = 484 MPa (When σ s /σ b0.7)
[0100] Figure 4 The operation flow chart of this integrated optimization method.
[0101] (1) Through the optimization and integration of ANSYS APDL language and ISIGHT, the input parameters in the input files required to establish the full-reach model are analyzed to obtain the design variables.
[0102] (2) Establish the full reach model based on the cubic NURBS curve in ANSYS software, and obtain the input file (INPUT) used by the model according to the design variables.
[0103] (3) Use the batch processing mode of ANSYS.BAT script to drive ISIGHT and ANSYS to conduct joint simulation analysis to obtain the output file (OUTPUT).
[0104] (4) Analyze the output file to obtain the target value, the constraint value and the initial value of the optimization required by the full outrigger optimization.
[0105] (5) Use ISIGHT to optimize until the optimized value that meets the constraint problem is output, and the optimal solution is output.
[0106] Figure 5 Shows the feasibility verification diagram of integrated optimization.
[0107] From Figure 5 It can be seen in the optimization iteration curve of the boom Figure 5 Among them, the volume (VOL) objective function of the boom has undergone 49 optimization iterations, and the volume of the boom (VOL) has changed from 0.3204m3 to 0.2953m3, and the optimization degree has reached about 7.9%.
[0108] Comparison of application results
[0109] Table 2 is a comparison between the optimization result of the technical solution of the present invention and the optimization result of the prior art.
[0110] Table 2 Comparison of boom before and after optimization
[0111] variable
[0112] Weight ω
[0113] It can be seen from the above table that the optimization design method used in the present invention achieves about 7.9% of the boom volume optimization under the premise of satisfying the constraint conditions, ensures the carrying capacity of the telescopic boom, reduces the cost of boom production, and improves the crane The overall working performance of the arm.
[0114] The invention uses ANSYS to analyze the strength and stiffness of the full boom, and calls the APDL language of ANSYS through the ISIGHT optimization platform to realize automatic cycle simulation and optimization, and finally obtain a global optimization solution, which improves the optimization efficiency and precision of the full boom.