CN110532686B - Structure optimization method for installation base of ocean platform equipment - Google Patents
Structure optimization method for installation base of ocean platform equipment Download PDFInfo
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- CN110532686B CN110532686B CN201910806829.3A CN201910806829A CN110532686B CN 110532686 B CN110532686 B CN 110532686B CN 201910806829 A CN201910806829 A CN 201910806829A CN 110532686 B CN110532686 B CN 110532686B
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Abstract
The invention discloses a method for optimizing an installation base structure of ocean platform equipment, which takes the density of each unit in a bracket, a web plate, a longitudinal bone and a transverse bone of a double-layer bottom in the base structure as an optimization design variable, takes the minimum acceleration response amplitude of an output end evaluation point group as an objective function, and optimizes the topological open pore of the base under the objective function with the minimum acceleration response amplitude; the method comprises the steps of taking the thicknesses of a base panel, an elbow plate, a web plate, an upper plate and a lower plate of a double-layer bottom of a foundation structure, a longitudinal bone and a transverse bone as design variables, taking the minimum acceleration response amplitude of an evaluation point group at the output end of a base as an objective function, and carrying out base topology reinforcement optimization under the objective function with the minimum acceleration response amplitude. The double-bottom structure has the beneficial effect that the vibration reduction effect of the double-bottom structure after the topological reinforcement and the opening are comprehensively optimized is greatly improved compared with that of the original structure.
Description
Technical Field
The invention belongs to the technical field of ocean platforms, and relates to a method for optimizing a structure of an ocean platform equipment mounting base.
Background
The ocean platform equipment mounting base is used for connecting equipment and a platform structure, bears the dynamic and static loads of the equipment and transfers the loads, and plays a role in isolating the dynamic loads transferred by the equipment. Therefore, the development of the base vibration reduction design is one of the key links of vibration noise control, and has important significance for reducing structural vibration and noise radiation, improving the safety of the platform structure and improving the living environment of personnel on the platform.
Disclosure of Invention
The invention aims to provide a method for optimizing the structure of an installation base of ocean platform equipment.
The technical scheme adopted by the invention is that the density of each unit in a bracket, a web plate, a longitudinal bone and a transverse bone of a double-layer bottom of a base structure is taken as an optimized design variable, the minimum acceleration response amplitude of an output end evaluation point group is taken as an objective function, the volume fraction of the base structure and the initial acceleration response of the input end evaluation point group and the output end evaluation point group are taken as constraint conditions, and the topological open pore optimization mathematical formula of the base under the objective function with the minimum acceleration response amplitude is as follows:
wherein T is ═ T1,t2,...,tn]TOptimally designing a variable for the unit topology, the topology design variable taking the value of tiThe value range is more than 0 and less than or equal to 1, WL、WURepresenting the minimum and maximum weight of the base, aU、aLRepresenting the maximum and minimum values of the acceleration response amplitudes of the input and output evaluation point groups in the measured frequency interval, fU、fLRepresenting the maximum and minimum values of the measured frequency range, and k and p representing the maximum amplitude of the acceleration response under the frequency;
the method is characterized in that the thicknesses of an upper plate and a lower plate at the double-layer bottom of a base panel, an elbow plate, a web plate and a foundation structure, a longitudinal bone and a transverse bone are taken as design variables, the minimum acceleration response amplitude of an output end evaluation point group of the base is a target function, the initial acceleration amplitudes of the base volume and the input end and output end evaluation point group are taken as constraint conditions, and the base topology reinforcement optimization mathematical formula under the target function with the minimum acceleration response amplitude is as follows:
t0the initial thickness of the reinforcing bars is not set.
Based on the scheme, the base is provided to perform hole forming optimization on the basis of reinforcement, topology reinforcement and hole forming comprehensive optimization is developed, vibration response is reduced through the comprehensive optimization of topology reinforcement and topology hole forming on the basis of ensuring structural rigidity and strength, and meanwhile base quality can be effectively controlled. The method is characterized in that the density of each unit in a bracket elbow plate and a web plate of a base in a base structure, a longitudinal bone and a transverse bone of a double-layer bottom in the base structure is used as an optimization design variable, the minimum acceleration response amplitude of an output end evaluation point group is a target function, and the volume fraction of the base structure and the initial acceleration response of the input end evaluation point group and the output end evaluation point group are constraint conditions.
The base topological reinforcement and opening comprehensive optimization mathematical formula under the objective function with the minimum acceleration response amplitude is as follows:
wherein T is ═ T1,t2,…,tn]TOptimally designing a variable for the unit topology, the topology design variable taking the value of tiThe value range is more than 0 and less than or equal to 1, WL、WURepresenting the minimum and maximum weight of the base, aU、aLAnd the maximum value and the minimum value of the acceleration response amplitude of the input end evaluation point group and the output end evaluation point group in the measured frequency interval are shown. f. ofU、fLRepresenting the maximum and minimum values of the measured frequency range, and k, p representing the maximum amplitude of the acceleration response at this frequency.
Drawings
FIG. 1 is a cloud of cells having topology variable values greater than 0.42;
FIG. 2 is a base structure after comprehensive optimization of topological reinforcement and hole opening;
FIG. 3 is an acceleration magnitude of a group of evaluation points;
fig. 4 shows the acceleration response amplitude of the input and output evaluation point groups.
Detailed Description
The present invention will be described in detail with reference to the following embodiments.
1. The density of each unit in a bracket elbow plate and a web plate of a base in a base structure, a longitudinal bone and a transverse bone of a double-layer bottom is taken as an optimization design variable, the minimum acceleration response amplitude of an output end evaluation point group is taken as a target function, the volume fraction of the base structure and the initial acceleration response of the input end evaluation point group and the output end evaluation point group are taken as constraint conditions, and the mathematical formula for the topological opening of the base is optimized under the target function with the minimum acceleration response amplitude:
wherein T is ═ T1,t2,...,tn]TOptimally designing a variable for the unit topology, the topology design variable taking the value of tiThe value range is more than 0 and less than or equal to 1, WL、WURepresenting the minimum and maximum weight of the base, aU、aLAnd the maximum value and the minimum value of the acceleration response amplitude of the input end evaluation point group and the output end evaluation point group in the measured frequency interval are represented. f. ofU、fLRepresenting the maximum and minimum values of the measured frequency range, k, p representing the maximum amplitude of the acceleration response at this frequency, e.g.
Indicating that the acceleration response amplitude is greatest at frequency k for evaluation point "a".
And (2) reconstructing the base structure according to the unit density cloud chart shown in the figure 1, and performing opening optimization on the basis of the structure obtained by topological reinforcement optimization to obtain the base structure after the topological reinforcement and opening comprehensive optimization shown in the figure 2, considering that the size and the position of an opening during opening the longitudinal bone and the transverse bone of the double-layer plate need to meet the design requirements of a ship in engineering practice.
And performing frequency response analysis on the base structure after the topological reinforcement and opening comprehensive optimization to obtain acceleration response amplitudes of the input end evaluation point group and the output end evaluation point group, as shown in fig. 3.
From FIG. 3, the maximum acceleration response amplitude of the input end evaluation point group of the base structure after the topology reinforcement and the opening are comprehensively optimized is 83.1mm/s2Compared with the maximum acceleration response amplitude of 110.83mm/s of the original base2Is reduced. The maximum acceleration response amplitude of the output end evaluation point group is 31.25mm/s2Compared with the maximum acceleration response amplitude of 73.62mm/s of the original base2There is a substantial reduction.
2. Structural parameter optimization
The method is characterized in that the thicknesses of a base panel, an elbow plate, a web plate, an upper plate and a lower plate of a double-layer bottom of a basic structure, a longitudinal bone and a transverse bone are taken as design variables, the minimum acceleration response amplitude of an evaluation point group at the output end of a base is taken as a target function, and the volume of the base and the initial acceleration amplitudes of the evaluation point group at the input end and the output end are taken as constraint conditions. The mathematical formula for structural parameter optimization is as follows:
the optimized mathematical formula of the structural parameters of the base is as follows:
in the formula tiRepresents the cell thickness value, t, of each plateUAnd tLThe upper and lower thickness values are shown. W is a group ofU、WLRepresenting the maximum and minimum values of the overall mass of the susceptor, WiTo optimize the rear base weight value, aU、aLThe maximum value and the minimum value of the acceleration response of the input end evaluation point group and the output end evaluation point group in the measured frequency range are shown. k. p represents the frequency value at which the maximum amplitude of the acceleration is obtained, e.g.
Showing and appraisingThe acceleration amplitude is maximum at frequency k at point "A", fUAnd fLRepresenting the upper and lower limits of the frequency.
The base topological reinforcement optimization mathematical formula under the objective function with the minimum acceleration response amplitude is as follows:
in the formula, t0The initial thickness of the reinforcing bars is not set.
As shown in the table 1, the thickness of the base panel after parameter optimization is increased from 12mm to 12.60mm, the thickness of the toggle plate and the web plate is increased from 6mm to 6.45mm, the thickness of the double-layer bottom plate is increased from 6mm to 6.63mm, the thickness of the double-layer bottom plate is decreased from 6mm to 5.80mm, and the thickness of the longitudinal keel and the thickness of the transverse keel are decreased from 6mm to 5.84 mm. The thicknesses of the base panel, the toggle plate, the web plate and the double-layer bottom plate are increased compared with that of a topological base, and the main reason is that the weight of equipment needs to be borne; the thickness of the lower plate of the double-layer bottom, the longitudinal bone and the transverse bone is slightly reduced, and the double-layer bottom does not bear the main weight and plays a supporting role.
Meanwhile, the quality of the topological base and the quality of the base with optimized parameters are compared and analyzed, the quality of the topological base is 576.1Kg, and the quality of the base with optimized parameters is 570.7Kg, which is slightly reduced compared with the quality of the topological base. The frequency response analysis is performed on the base after the parameter optimization, and the acceleration response amplitude of the input end and output end evaluation point group is obtained and is shown in fig. 4.
TABLE 1
It is known from fig. 4 that the maximum value of the acceleration response amplitude of the base input end evaluation point group after the optimization of the structural parameters is 104.02mm/s2, the maximum value of the acceleration response amplitude of the output end evaluation point group is 25.75mm/s2, the acceleration response amplitude of the output end evaluation point group is reduced compared with the acceleration response amplitude of the topology base output end evaluation point group, the vibration amplitude of the whole structure is small, and the vibration damping effect of the base after the optimization of the parameters is further improved.
The above description is only for the purpose of illustrating the preferred embodiments of the present invention and is not intended to limit the present invention in any way, and all simple modifications, equivalent variations and modifications made to the above embodiments according to the technical spirit of the present invention are within the scope of the present invention.
Claims (1)
1. A structure optimization method for an installation base of ocean platform equipment is characterized by comprising the following steps: the density of each unit in a bracket elbow plate and a web plate of a base in a base structure, a longitudinal bone and a transverse bone of a double-layer bottom is taken as an optimization design variable, the minimum acceleration response amplitude of an output end evaluation point group is taken as a target function, the volume fraction of the base structure and the initial acceleration response of the input end evaluation point group and the output end evaluation point group are taken as constraint conditions, and the mathematical formula for the topological opening of the base is optimized under the target function with the minimum acceleration response amplitude:
wherein T is ═ T1,t2,…,tn]TOptimally designing a variable for the unit topology, the topology design variable taking the value of tiThe value range is more than 0 and less than or equal to 1, WL、WURepresenting the minimum and maximum weight of the base, aU、aLRepresenting the maximum and minimum values of the acceleration response amplitudes of the input and output evaluation point groups in the measured frequency interval, fU、fLRepresenting the maximum and minimum values of the measured frequency range, and k and p representing the maximum amplitude of the acceleration response under the frequency;
the method is characterized in that the thicknesses of an upper plate and a lower plate at the double-layer bottom of a base panel, an elbow plate, a web plate and a foundation structure, a longitudinal bone and a transverse bone are taken as design variables, the minimum acceleration response amplitude of an output end evaluation point group of the base is a target function, the initial acceleration amplitudes of the base volume and the input end and output end evaluation point group are taken as constraint conditions, and the base topology reinforcement optimization mathematical formula under the target function with the minimum acceleration response amplitude is as follows:
t0the initial thickness of the reinforcing rib is not set;
wherein T is ═ T1,t2,…,tn]TOptimally designing a variable for the unit topology, the topology design variable taking the value of ti，t0To an initial thickness of no rib, WL、WURepresenting the minimum and maximum weight of the base, aU、aLRepresenting the maximum and minimum values of the acceleration response of the evaluation point group within the measured frequency interval, fU、fLRepresenting the maximum and minimum values of the measured frequency range, and k and p representing the maximum amplitude of the acceleration response under the frequency;
comprehensively optimizing base topology reinforcement and hole opening:
based on the two schemes, the base is subjected to holing optimization on the basis of reinforcement, comprehensive optimization of topological reinforcement and holing is carried out, the density of each unit in a bracket, a web plate, a longitudinal bone and a transverse bone of a double-layer bottom of the base structure is taken as an optimization design variable, the minimum acceleration response amplitude of an output end evaluation point group is taken as a target function, and the volume fraction of the base structure and the initial acceleration response of the input end evaluation point group and the output end evaluation point group are taken as constraint conditions;
the base topological reinforcement and opening comprehensive optimization mathematical formula under the objective function with the minimum acceleration response amplitude is as follows:
wherein T is ═ T1,t2,…,tn]TOptimally designing a variable for the unit topology, the topology design variable taking the value of tiThe value range is more than 0 and less than or equal to 1, WL、WURepresenting the minimum and maximum weight of the base,aU、aLrepresenting the maximum and minimum values of the acceleration response amplitudes of the input end evaluation point group and the output end evaluation point group in the measured frequency interval, fU、fLThe maximum value and the minimum value of the measured frequency range are represented, k and p represent that the acceleration response has the maximum amplitude under the frequency;
the maximum acceleration response amplitude is shown when the evaluation point A is at 150 Hz; parameter optimization:
in the optimization scheme, the thicknesses of a base panel, an elbow plate, a web plate, an upper plate and a lower plate of a double-layer bottom of a basic structure, a longitudinal bone and a transverse bone are taken as design variables, the minimum acceleration response amplitude of an evaluation point group at the output end of the base is taken as a target function, and the volume of the base and the initial acceleration amplitudes of the evaluation point group at the input end and the output end are taken as constraint conditions;
the optimized mathematical formula of the structural parameters of the base is as follows:
in the formula tiRepresents the cell thickness value, t, of each plateUAnd tLUpper and lower values of thickness, WU、WLRepresenting the maximum and minimum values of the overall mass of the susceptor, WiTo optimize the rear base weight value, aU、aLRepresenting the maximum and minimum values of the acceleration response of the input end evaluation point group and the output end evaluation point group in the measured frequency range, k and p representing the frequency values at which the maximum amplitude of the acceleration is obtained, fUAnd fLRepresenting the upper and lower limits of the frequency.
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| AU2020101263A AU2020101263A4 (en) | 2019-08-29 | 2020-07-06 | Method for optimizing mounting base structure of offshore platform device |
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| CN102663212A (en) * | 2012-05-09 | 2012-09-12 | 江苏科技大学 | Optimized design method for ship anchoring machine seat |
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| CN111709094B (en) * | 2020-07-13 | 2024-01-30 | 江苏科技大学 | Base structure optimization method of anchor windlass |
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| CN102663212A (en) * | 2012-05-09 | 2012-09-12 | 江苏科技大学 | Optimized design method for ship anchoring machine seat |
Non-Patent Citations (4)
| Title |
|---|
| Application of structural topology optimisation to perforated steel;Tsavdaridis 等;《Computers & Structures》;20151001;第158卷;全文 * |
| Two-scale topology design optimization of stiffened or porous plate subject to out-of-plane buckling constraint.;Cheng, GD 等;《Structural and Multidisciplinary Optimization》;20160716;第54卷(第5期);全文 * |
| 基座安装对平台减振特性影响研究;韩华伟 等;《海洋工程》;20180731;第36卷(第04期);全文 * |
| 海洋平台泥浆泵基座结构的动力优化;郭明慧 等;《船海工程》;20151231;第44卷(第6期);全文 * |
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