Ship base structure design method based on Voronoi diagram
By designing a base structure based on the Voronoi diagram, optimizing the distribution of Thiessen polygons and cell wall thickness, the problems of increased weight and insufficient vibration isolation performance of traditional ship bases were solved, achieving better vibration isolation and weight reduction effects.
Patent Information
- Application Number
- CN202511753020.0
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-11-26
- Publication Date
- 2026-01-16
AI Technical Summary
Traditional ship foundation structures are heavier and have insufficient vibration isolation performance, and existing vibration isolation systems fail to effectively utilize the foundation's own vibration isolation function.
A ship foundation structure design method based on Voronoi diagrams was adopted. By constructing Voronoi sections and adjusting the distribution of Thiessen polygons and cell wall thickness, the load-bearing and vibration isolation performance of the foundation was optimized. A finite element model for vibration isolation evaluation was established to assess the vibration isolation effect.
It improves the vibration isolation effect of the base, reduces weight and enhances the aesthetics of the base, while meeting the vibration reduction requirements.
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Figure CN121341371A_ABST
Abstract
Description
Technical Field
[0001] This invention relates to the field of ship foundation structure technology, and specifically to a ship foundation structure design method based on Voronoi diagrams. Background Technology
[0002] Traditional vibration reduction for equipment primarily involves installing vibration isolation systems, which are then mounted on the ship via bases. The base is a crucial structure connecting the hull and the power equipment, mainly used to support the equipment and bear its weight. As the primary pathway for vibration wave transmission, the base's design directly impacts the stability of the equipment and the overall performance of the ship. In ship design, the shape, materials, and structural parameters of the base all affect the vibration reduction effect. Optimizing the base structure, especially improving its vibration reduction and isolation performance, is of great significance for enhancing the reliability and comfort of ship equipment.
[0003] Voronoi diagrams, also known as Thiessen polygons, are continuous polygons formed by the perpendicular bisectors of the lines connecting two adjacent points. Voronoi diagrams possess unique geometric properties and have certain applications in structural design.
[0004] Existing vibration isolation methods primarily involve setting up independent vibration isolation systems, which are then mounted on the ship via bases. On one hand, these systems increase weight, making weight control difficult. On the other hand, traditional bases mostly employ conventional structural designs, neglecting the base's own vibration isolation function. Summary of the Invention
[0005] To address the aforementioned shortcomings of existing technologies, a ship foundation structure design method based on Voronoi diagrams is provided. This method employs a novel Voronoi foundation, which fully leverages the foundation's inherent vibration isolation performance and effectively enhances the vibration isolation effect.
[0006] The technical solution adopted by this invention to solve the above-mentioned technical problems is as follows: a method for designing ship foundation structures based on Voronoi diagrams, comprising the following steps: S1. Obtain the macroscopic dimensions of the original marine base and equipment installation requirements; S2. Construct the Voronoi diagram based on the cross-sectional dimensions of the original base; S3. Geometrically stretch the Voronoi section along the length of the original base to construct a new Voronoi base; S4. Perform parameter design on the Voronoi base to change its load-bearing and vibration isolation performance; S5. Construct a finite element model for vibration isolation evaluation based on the equipment installation requirements. Use the average acceleration level difference between the top and bottom of the Voronoi base as the evaluation standard for vibration isolation effect to evaluate the vibration reduction effect of the Voronoi base. S6. Evaluate the vibration isolation effect. If the preset vibration reduction target is not achieved, return to step S4 to redesign until the expected design target is met.
[0007] According to the above technical solution, in step S3, the stretching length of the Voronoi section is the same as the original base length.
[0008] According to the above technical solution, in step S4, the parameters of the Voronoi base include the number of division layers of the Thiessen polygon and the cell wall thickness.
[0009] According to the above technical solution, the division size of the Tyson polygon is controlled between 30mm and 70mm.
[0010] According to the above technical solution, step S5 includes: S51. Establish a finite element model for vibration isolation evaluation in finite element simulation software, and select several excitation points and evaluation points; S52. Apply acceleration excitation at the center of gravity of the equipment and extract acceleration data at each evaluation point; S53. Change the excitation frequency at the excitation point and calculate the total vibration level drop at each frequency point.
[0011] According to the above technical solution, in step S51, the excitation point is selected as the contact point between the upper panel of the Voronoi base and the machine feet, and the evaluation point is selected at the intersection of the bottom trusses of the Voronoi base.
[0012] According to the above technical solution, in step S52, the acceleration excitation applied at the center of gravity of the equipment is a vertical unit sinusoidal acceleration excitation.
[0013] According to the above technical solution, the specific method for calculating the acceleration vibration level drop in step S53 is as follows: Calculate the root mean square value of acceleration at each excitation point and evaluation point: ; In the formula, Incentive points and evaluation points The acceleration; At the same frequency, the root mean square value of the acceleration at the excitation point is obtained. and the root mean square value of acceleration at the evaluation point The average acceleration level drop for: ; Finally, the total vibration level drop at each frequency point is expressed as:
[0014] In the formula, The number of frequency points. For the first The average acceleration level drop at each frequency point.
[0015] The present invention also provides an electronic device, including a processor and a memory, wherein a program is stored in the memory and configured to be executed by the processor, and when the program is executed by the processor, it implements any of the above-described Voronoi diagram-based base structure design methods.
[0016] The present invention also provides a computer-readable storage medium storing program code, which executes any of the above-described Voronoi diagram-based base structure design methods when the program code is run.
[0017] The present invention has the following beneficial effects: 1. Based on the Voronoi diagram, this invention proposes a novel Voronoi base. By adjusting the distribution of Thiessen polygons and changing the cell wall thickness, the load-bearing and vibration isolation performance of the base is modified to meet vibration reduction requirements. This invention fully utilizes the vibration isolation performance of the base itself, effectively improving the vibration isolation effect.
[0018] 2. The Voronoi base of this invention has a porous structure with numerous internal cavities, achieving weight reduction. The regularity and symmetry of the Thiessen polygon enhance the aesthetics of the base design. Attached Figure Description
[0019] Figure 1 This is a flowchart of the base structure design method based on Voronoi diagram in an embodiment of the present invention; Figure 2 This is the original base model; Figure 3 This is a cross-sectional view of the base constructed based on the Voronoi diagram according to the present invention; Figure 4 This is a schematic diagram of the novel Voronoi base structure of the present invention; Figure 5 This is the finite element model for vibration isolation evaluation in this invention; Figure 6 This is a schematic diagram illustrating the selection of incentive points and evaluation points in this invention; Figure 7 This is an acceleration contour map of the bottom plate frame of the novel Voronoi base under an excitation frequency of 45Hz. Figure 8 This is an acceleration contour map of the original base bottom plate frame at an excitation frequency of 45Hz according to the present invention; Figure 9 The graph shows the vibration level drop curves of the novel Voronoi base and the original base under different excitation frequencies according to the present invention. Detailed Implementation
[0020] To make the objectives, technical solutions, and advantages of the embodiments of this application clearer, the technical solutions of the embodiments of this application will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of this application, and not all embodiments. The components of the embodiments of this application described and shown in the accompanying drawings can generally be arranged and designed in various different configurations.
[0021] Example 1 like Figure 1 As shown, this embodiment provides a ship foundation structure design method based on Voronoi diagrams, including the following steps: S1. Obtain the macroscopic dimensions of the original marine base and equipment installation requirements; Specifically, such as Figure 2 As shown, the original base is set on the deck plate frame and includes a base web, a base panel, and a base elbow plate. The macroscopic dimensions of the original base are determined according to the size of each plate and its installation position.
[0022] S2. Construct the Voronoi diagram based on the cross-sectional dimensions of the original base; Specifically, such as Figure 3 As shown, a Voronoi diagram is constructed based on the macroscopic dimensions of the original base for setting the base cross-section.
[0023] S3. Geometrically stretch the Voronoi section along the length of the original base to construct a new Voronoi base; Specifically, such as Figure 4 As shown, the tensile length of the Voronoi section is the same as the original base length. The overall dimensions of the new Voronoi base are width W, length L and height H, which are consistent with the macroscopic dimensions of the original base.
[0024] Specifically, the Voronoi base has a porous structure, which can suppress vibration transmission to a certain extent and improve the base's vibration isolation performance. The base contains a large number of cavities, which reduces weight.
[0025] S4. Perform parameter design on the Voronoi base to change its load-bearing and vibration isolation performance; Specifically, the parameters of the Voronoi base include the number of Thiessen polygon layers and the cell wall thickness, with the Thiessen polygon dimensions controlled between 30mm and 70mm. By adjusting the distribution of the Thiessen polygons and changing the cell wall thickness, the load-bearing and vibration isolation performance of the base can be adjusted.
[0026] Specifically, the new Voronoi base possesses regularity, scalability, and optimizability. Regularity refers to the regularity of the arrangement of the Thiessen polygons; scalability refers to its ability to be expanded based on the macroscopic dimensions of the original base; and optimizability refers to its ability to optimize the shape, size, and other aspects of the polygons.
[0027] S5. Construct a finite element model for vibration isolation evaluation based on the equipment installation requirements. Use the average acceleration level difference between the top and bottom of the Voronoi base as the evaluation standard for vibration isolation effect to evaluate the vibration reduction effect of the Voronoi base. Specifically, step S5 includes: S51. Establish a finite element model for vibration isolation evaluation in finite element simulation software, and select several excitation points and evaluation points; Specifically, such as Figure 5 As shown, when establishing the finite element model for vibration isolation evaluation, an appropriate method is selected to connect it to the deck frame based on the different material properties of the new base.
[0028] Specifically, such as Figure 6 As shown, the excitation point is selected at the contact point between the upper panel of the Voronoi base and the machine feet, and the evaluation point is selected at the intersection of the bottom trusses of the Voronoi base.
[0029] S52. Apply acceleration excitation at the center of gravity of the equipment and extract acceleration data at each evaluation point; specifically, the acceleration excitation applied at the center of gravity of the equipment is a vertical unit sine acceleration excitation.
[0030] S53. Change the excitation frequency at the excitation point and calculate the total vibration level drop at each frequency point.
[0031] Specifically, the method for calculating the acceleration vibration level drop is as follows: Calculate the root mean square value of acceleration at each excitation point and evaluation point: ; In the formula, Incentive points and evaluation points The acceleration; At the same frequency, the root mean square value of the acceleration at the excitation point is obtained. and the root mean square value of acceleration at the evaluation point The average acceleration level drop for: ; Finally, the total vibration level drop at each frequency point is expressed as:
[0032] In the formula, The number of frequency points. For the first The average acceleration level drop at each frequency point.
[0033] The present invention also provides an electronic device, including a processor and a memory, wherein a program is stored in the memory and configured to be executed by the processor, and when the program is executed by the processor, it implements any of the above-described Voronoi diagram-based base structure design methods.
[0034] The present invention also provides a computer-readable storage medium storing program code, which executes any of the above-described Voronoi diagram-based base structure design methods when the program code is run.
[0035] Example 2 The principle and technical solution of Embodiment 2 are basically the same as those of Embodiment 1. This embodiment takes the design of a new Voronoi base as an example for illustration.
[0036] Specifically, the original base has macroscopic dimensions of 600mm in length (L), 400mm in width (W), and 200mm in height (H). The cross-section of the novel Voronoi base is identical to that of the original base, measuring 400mm × 200mm. Four layers of Thiessen polygons are distributed along the height of the base, and eight layers are distributed along the width. The base panel thickness is 5mm, and the cell wall thickness is 3mm. After division, the original base is stretched by 600mm along its length to construct the novel Voronoi base.
[0037] Specifically, the excitation point is selected at the contact point between the equipment feet and the base, and the evaluation point is selected at the intersection of the bottom ribs of the frame. A vertical unit sinusoidal acceleration excitation is applied at the center of gravity of the equipment, with an excitation frequency of 10-150Hz, and 25 frequency points are selected at even intervals for evaluation.
[0038] Specifically, the frequency response analysis of the original base and the novel Voronoi base model was performed using the direct method. Figure 7 and Figure 8 Taking an excitation frequency of 45Hz as an example, the acceleration contour maps of the bottom plate frame of two bases at this excitation frequency are given. Figure 9 The vibration level drop curves of the new base and the original base at all excitation frequencies are given. As can be seen from the figure, the vibration level drop of the new base is higher, and its vibration isolation effect is better than that of the original base.
[0039] The embodiments described above are some, but not all, of the embodiments of this application. The detailed description of the embodiments of this application is not intended to limit the scope of the claimed application, but merely to illustrate selected embodiments. All other embodiments obtained by those skilled in the art based on the embodiments of this application without inventive effort are within the scope of protection of this application.
Claims
1. A method for designing a ship foundation structure based on a Voronoi diagram, characterized by, The method comprises the following steps: S1, obtaining the macroscopic size of the original base for a ship and the equipment installation requirements; S2, constructing a Voronoi diagram according to the cross-sectional size of the original base; S3, geometrically stretching the Voronoi cross section along the length direction of the original base to construct a new Voronoi base; S4, parameterizing the Voronoi base to change its load-carrying and vibration isolation performance; S5, constructing a vibration isolation evaluation finite element model according to the equipment installation requirements, taking the average acceleration vibration level difference between the upper and lower parts of the Voronoi base as the evaluation standard of the vibration isolation effect, and evaluating the vibration reduction effect of the Voronoi base; S6, evaluating the vibration isolation effect, and if the preset vibration reduction target is not reached, returning to step S4 for redesign until the expected design target is met.
2. The method for designing a ship foundation structure based on a Voronoi diagram according to claim 1, characterized in that: In step S3, the stretching length of the Voronoi cross section is the same as the length of the original base.
3. The method for designing a ship foundation structure based on a Voronoi diagram according to claim 1, characterized in that: In step S4, the parameters of the Voronoi base include the number of Voronoi polygon divisions and the thickness of the cell wall.
4. The method for designing a ship foundation structure based on a Voronoi diagram according to claim 3, characterized in that: The division size of the Voronoi polygon is controlled to be 30-70 mm.
5. The method for designing a ship foundation structure based on a Voronoi diagram according to claim 1, wherein: Step S5 comprises: S51, establishing a vibration isolation evaluation finite element model in a finite element simulation software, and selecting a plurality of excitation points and evaluation points; S52, applying acceleration excitation at the device gravity center and extracting acceleration data at each evaluation point; S53, changing the excitation frequency at the excitation point, and calculating the total vibration level difference at each frequency point.
6. The method for designing a ship foundation structure based on a Voronoi diagram according to claim 5, characterized in that: In step S51, the excitation points are selected as the contact parts between the upper panel of the Voronoi base and the equipment feet, and the evaluation points are selected at the staggered parts of the bottom beam of the Voronoi base.
7. The method for designing a ship foundation structure based on a Voronoi diagram according to claim 5, characterized in that: In step S52, the acceleration excitation applied at the device gravity center is vertical unit sinusoidal acceleration excitation.
8. The method for designing a ship foundation structure based on a Voronoi diagram according to claim 5, wherein: In step S53, the acceleration vibration level difference is calculated as follows: The root mean square values of the accelerations of each excitation point and evaluation point are calculated: ; wherein acceleration of the incentive point and the evaluation point acceleration of the incentive point and the evaluation point The root mean square value of the acceleration of the excitation point is obtained at the same frequency and the root mean square value of the acceleration of the evaluation point The average acceleration level difference is : ; Finally, the total vibration level difference at each frequency point is expressed as: wherein is the number of frequency points, is the average acceleration level difference for the th frequency point.
9. An electronic device, comprising: The program is stored in the memory and configured to be executed by the processor, and the program is executed by the processor to implement the base structure design method based on the Voronoi diagram in any one of claims 1-8.
10. A computer-readable storage medium, characterized in that, The program code is stored in the computer readable storage medium, and the program code is executed to implement the base structure design method based on the Voronoi diagram in any one of claims 1-8.
Citation Information
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