Explosion-proof pressure vessel and design method thereof

By designing explosion-resistant pressure vessels using the finite element method and the energy equivalence principle, the problem of pressure vessels bearing multiple loads in deep-water explosion simulation tests is solved, a safe and economical deep-water explosion simulation effect is achieved, and underwater explosion test research on deep-sea submersible structures is supported.

CN119538773BActive Publication Date: 2025-09-09CHINA SHIP SCIENTIFIC RESEARCH CENTER
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Patent Information

Application Number
CN202411566927.1
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2024-11-05
Publication Date
2025-09-09
Estimated Expiration
2044-11-05

AI Technical Summary

Technical Problem

In the existing technology, when simulating deep-water explosion environments, pressure vessels find it difficult to simultaneously withstand multiple loads such as hydrostatic pressure and underwater explosion shock waves, bubble pulsations, etc. The lack of design standards and specifications leads to high design and manufacturing difficulties, which limits the development of deep-water explosion simulation tests.

Method used

The finite element method and energy equivalence principle are used to design explosion-proof pressure vessels. By calculating the equivalent static pressure of the composite load under the combined action of static and dynamic loads, combined with finite element software verification, the structural parameters of the pressure vessel are determined to ensure safety margin.

Benefits of technology

It has achieved efficient simulation of deep-water explosion environments in the laboratory, reduced the difficulty of design and manufacturing, ensured the safety of pressure vessels, and supported the further development of deep-water explosion simulation tests.

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Abstract

The present invention relates to an explosion-proof pressure vessel and a design method thereof. A design method for an explosion-proof pressure vessel comprises the following steps: determining basic parameters; calculating the static load design pressure value of the pressure vessel by (Formula 1); calculating the dynamic load equivalent static pressure design value of the pressure vessel by (Formula 2); calculating the composite load equivalent static pressure design value by (Formula 3); determining the main structural parameters of the pressure vessel; performing finite element verification on the structural parameters; if the verification results meet the design requirements, the design is completed; if not, steps S5-S6 are repeated until they are met. The design method of the present invention is simple and easy to implement, and the design result is both economical and practical, and also leaves a certain safety margin, thereby ensuring the safety of the pressure vessel in the subsequent multiple simulated deep-water explosion tests.
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Description

Technical Field

[0001] The present invention relates to the technical field of deep-water explosion simulation test, in particular to an explosion-proof pressure vessel and a design method thereof. Background Art

[0002] Deep-sea explosion research is crucial for evaluating the destructive effects of deep-sea explosives and the explosion resistance of structures such as deep-sea submersibles and deep-sea pipelines. By simulating deep-water explosion environments in the laboratory, experimental conditions can be precisely controlled, avoiding interference from natural environmental factors, leading to more accurate research on the mechanisms and effects of deep-sea explosions.

[0003] Existing technology, based on underwater explosion analogy theory, simulates deepwater explosion environments in laboratories by filling and pressurizing sealed pressure vessels with water. However, these pressure vessels must simultaneously withstand multiple loads, including hydrostatic pressure, underwater explosion shock waves, and bubble pulsation. This creates gaps in relevant design standards and specifications, making design and manufacturing difficult and limiting the further development and application of deepwater explosion simulation testing. Summary of the Invention

[0004] In response to the shortcomings of the above-mentioned existing production technologies, the applicant provides an explosion-resistant pressure vessel and a design method thereof, which can fully consider the effects of hydrostatic pressure, explosion shock wave, and bubble pulsation, and at the same time adopts the finite element method to verify the structural strength of the pressure vessel under the combined action of hydrostatic pressure and deep-water explosion load. The design method is simple and easy to implement, and the design result is both economical and practical, and also leaves a certain safety margin, thereby ensuring the safety of the pressure vessel in subsequent multiple simulated deep-water explosion tests.

[0005] The technical solutions adopted in the present invention are as follows:

[0006] A method for designing an explosion-proof pressure vessel comprises the following steps:

[0007] S1. Determine basic parameters, including the shape of the pressure vessel, the maximum simulated depth h, the maximum simulated dose W;

[0008] The maximum simulated depth h represents the maximum still water depth that can be simulated by pressurizing the pressure vessel;

[0009] The simulated maximum charge W represents the maximum charge used in the explosion test inside the pressure vessel;

[0010] S2. Based on the basic parameters in step S1, calculate the static load design pressure value P1 of the pressure vessel by (Equation 1);

[0011] P1=ρgh (Equation 1)

[0012] In (Equation 1), ρ represents the density of the liquid used when the pressure vessel is pressurized; g represents the acceleration due to gravity; h represents the maximum static water depth that can be simulated by pressurizing the pressure vessel;

[0013] S3. Based on the basic parameters in step S1 and the energy equivalent calculation principle, calculate the dynamic load equivalent static pressure design value P2 of the pressure vessel using (Equation 2);

[0014]

[0015] In (Equation 2), D represents the diameter of the pressure vessel, E represents the elastic modulus of the material used to make the pressure vessel, [σ] represents the allowable stress of the pressure vessel, and α and β represent the energy absorption coefficients, which are constants. The values ​​of α and β are related to the explosion distance R.

[0016] S4. Based on the static load design pressure value P1 calculated in step S2 and the dynamic load equivalent static pressure design value P2 calculated in step S3, the composite load equivalent static pressure design value P3 is calculated by (Equation 3);

[0017] The composite load equivalent static pressure design value P3 refers to the equivalent static pressure design value of the pressure vessel under the combined action of static load and dynamic load;

[0018] P3=n(P1+P2) (Formula 3)

[0019] In (Equation 3), n represents the design safety factor;

[0020] S5. Determine the main structural parameters of the pressure vessel according to the equivalent static pressure design value P3 of the composite load calculated in step S4, wherein the main structural parameters include the main wall thickness and the wall thickness of the inlet and outlet openings;

[0021] S6. Perform finite element verification on the structural parameters in step S5 according to the composite load equivalent static pressure design value P3 calculated in step S4;

[0022] S7. If the verification result meets the design requirements, the design is completed. If not, repeat steps S5-S6 until it is met.

[0023] As a further improvement of the above technical solution:

[0024] The shapes of the pressure vessels include spherical, cylindrical, or a combination of spherical and cylindrical.

[0025] In step S3, the dynamic loads generated by the deep-water explosion include strong shock wave loads and bubble pulsation loads;

[0026] The energy density E1 generated by the strong shock wave load is calculated by the following formula:

[0027]

[0028] In the above formula, W represents the amount of explosives used in the explosion test, and R represents the explosion distance;

[0029] The energy density E2 generated by the bubble pulsation load is calculated by the following formula:

[0030]

[0031] In the above formula, W represents the amount of explosives used to carry out the explosion test, and R represents the explosion distance.

[0032] In step S4, the design formula of the main body wall thickness δ1 is as follows:

[0033]

[0034] Where Q represents the empirical coefficient, P3 represents the equivalent static pressure design value of the composite load, D represents the diameter of the pressure vessel, [σ] represents the allowable stress of the pressure vessel, Represents the weld joint condition coefficient.

[0035] In step S4, the design formula for the wall thickness δ2 at the inlet and outlet openings is as follows:

[0036]

[0037] In the formula, γ represents the empirical coefficient, D c represents the opening diameter, P3 represents the equivalent static pressure design value of the composite load, and [σ] represents the allowable stress of the pressure vessel.

[0038] In step S6, the total wave method in the Abaqus finite element software is used to perform a check, and the check includes the following steps:

[0039] First, the finite element model of the pressure vessel and the internal water area are established in the abaqus finite element software;

[0040] Subsequently, a check static pressure is applied to the interior of the pressure vessel, and static analysis calculations are performed using the Abaqus finite element software. The check static pressure value is equal to the static load design pressure value P1.

[0041] Next, static pressure and explosion loads are applied to the finite element model of the pressure vessel simultaneously by restarting, and the results of the static analysis calculation in the previous step are specified as the initial stress, so that the restart calculation is carried out using the Abaqus finite element software;

[0042] Finally, check the maximum stress distribution of key parts of the finite element model of the pressure vessel, including the tensile stress and bending stress of the main structure of the finite element model of the pressure vessel, and the concentrated stress in the opening area of ​​the finite element model of the pressure vessel.

[0043] The tensile stress is required to be less than the allowable stress [σ], the bending stress is required to be less than 1.5 [σ], and the concentrated stress is required to be less than 3 [σ].

[0044] An explosion-proof pressure vessel includes a pressure tank body designed using the above-mentioned design method. The top of the pressure tank body is provided with an inlet and outlet hole, and a head is installed in conjunction with the inlet and outlet hole.

[0045] As a further improvement of the above technical solution:

[0046] The sealing head is mounted in cooperation with the inlet and outlet holes through a clamp.

[0047] An observation window is provided on the pressure tank body.

[0048] The beneficial effects of the present invention are as follows:

[0049] The design method of the present invention, by adopting a design method of explosion energy equivalence, static pressure design, and dynamic pressure verification, can fully consider the effects of hydrostatic pressure, explosion shock wave, and bubble pulsation on the pressure vessel in the deepwater explosion test; at the same time, the finite element method is used to verify the structural strength of the pressure vessel under the combined action of hydrostatic pressure and deepwater explosion load, which effectively reduces the difficulty of designing and manufacturing the pressure vessel and provides strong support for the further development and application of deepwater explosion simulation tests.

[0050] The design method of the present invention is simple and easy to implement, and can leave a safety margin, effectively ensuring the safety of the designed pressure vessel in use during subsequent multiple simulated deep-water explosion tests.

[0051] The pressure vessel of the present invention can be used to conduct deep-water explosion tests simulating deep-sea environments in the laboratory, so that based on the pressure vessel, underwater explosion test research on deep-sea explosion loads and deep-sea submersible structure models can be carried out, solving a major basic problem in deep-sea explosion environment simulation in the field of marine engineering, and having significant economic and social effects. BRIEF DESCRIPTION OF THE DRAWINGS

[0052] Figure 1 Flowchart of the design method of the present invention.

[0053] Figure 2 It is a schematic structural diagram of the explosion-proof pressure vessel in the present invention.

[0054] Figure 3 Schematic diagram of the finite element model of the pressure vessel in Example 1 of the present invention.

[0055] Figure 4 This is a diagram showing the maximum stress distribution at key locations of the finite element model of the pressure vessel in Example 1 of the present invention.

[0056] Among them: 1. Pressure tank body; 101. Inlet and outlet holes; 2. Head; 3. Clamp; 4. Positioning rope; 5. Explosive charge; 6. Test model. DETAILED DESCRIPTION

[0057] The specific embodiments of the present invention will be described below with reference to the accompanying drawings.

[0058] like Figure 1 As shown, a design method of an explosion-proof pressure vessel of this embodiment includes the following steps:

[0059] S1. Determine basic parameters, including the shape of the pressure vessel, the maximum simulated depth h, and the maximum simulated charge W;

[0060] The shape of the pressure vessel includes spherical, cylindrical or a combination of spherical and cylindrical;

[0061] The maximum simulated depth h represents the maximum still water depth that can be simulated by pressurizing the pressure vessel;

[0062] The simulated maximum charge W represents the maximum charge used in the explosion test inside the pressure vessel.

[0063] S2. Based on the basic parameters in step S1, calculate the static load design pressure value P1 of the pressure vessel by (Equation 1);

[0064] P1=ρgh (Equation 1)

[0065] In (Equation 1), ρ represents the density of the liquid used when the pressure vessel is pressurized; g represents the acceleration due to gravity; h represents the maximum static water depth that can be simulated by pressurizing the pressure vessel;

[0066] S3. Based on the basic parameters in step S1 and the energy equivalent calculation principle, calculate the dynamic load equivalent static pressure design value P2 of the pressure vessel using (Equation 2);

[0067]

[0068] In (Equation 2), D represents the diameter of the pressure vessel, E represents the elastic modulus of the material used to make the pressure vessel, [σ] represents the allowable stress of the pressure vessel, and α and β represent the energy absorption coefficients, which are constants. The values ​​of α and β are related to the explosion distance R.

[0069] The energy equivalent calculation principle is that the deformation energy of the pressure vessel caused by the dynamic load of deep-water explosion is consistent with the deformation energy caused by the equivalent static pressure;

[0070] The dynamic loads generated by deep-water explosions include strong shock wave loads and bubble pulsation loads;

[0071] The energy density E1 generated by the strong shock wave load is calculated by the following formula:

[0072]

[0073] In the above formula, W represents the amount of explosives used in the explosion test (kg), and R represents the explosion distance (m);

[0074] The energy density E2 generated by the bubble pulsation load is calculated by the following formula:

[0075]

[0076] In the above formula, W represents the amount of explosives used in the explosion test (kg), and R represents the explosion distance (m);

[0077] S4. Based on the static load design pressure value P1 calculated in step S2 and the dynamic load equivalent static pressure design value P2 calculated in step S3, the composite load equivalent static pressure design value P3 is calculated by (Equation 3);

[0078] The equivalent static pressure design value P3 of the composite load refers to the equivalent static pressure design value of the pressure vessel under the combined action of static load and dynamic load;

[0079] P3=n(P1+P2) (Formula 3)

[0080] In (Equation 3), n represents the design safety factor;

[0081] S5. Determine the main structural parameters of the pressure vessel according to the equivalent static pressure design value P3 of the composite load calculated in step S4. The main structural parameters include the main wall thickness and the wall thickness of the inlet and outlet openings;

[0082] Among them, the design formula of the main body wall thickness δ1 is as follows:

[0083]

[0084] Where Q represents the empirical coefficient, P3 represents the equivalent static pressure design value of the composite load, D represents the diameter of the pressure vessel, [σ] represents the allowable stress of the pressure vessel, Indicates the weld joint condition coefficient;

[0085] The design formula for the wall thickness δ2 at the inlet and outlet openings is as follows:

[0086]

[0087] In the formula, γ represents the empirical coefficient, D c represents the opening diameter, P3 represents the equivalent static pressure design value of the composite load, and [σ] represents the allowable stress of the pressure vessel;

[0088] S6. Perform finite element verification on the structural parameters in step S5 according to the composite load equivalent static pressure design value P3 calculated in step S4;

[0089] The total wave method in the Abaqus finite element software is used for verification, which includes the following steps:

[0090] First, the finite element model of the pressure vessel and the internal water area are established in the abaqus finite element software;

[0091] Subsequently, a check static pressure is applied to the interior of the pressure vessel, and static analysis calculations are performed using the Abaqus finite element software. The check static pressure value is equal to the static load design pressure value P1.

[0092] Next, static pressure and explosion loads are applied to the finite element model of the pressure vessel simultaneously by restarting, and the results of the static analysis calculation in the previous step are specified as the initial stress, so that the restart calculation is carried out using the Abaqus finite element software;

[0093] Finally, check the maximum stress distribution of key parts of the finite element model of the pressure vessel, including the tensile stress and bending stress of the main structure of the finite element model of the pressure vessel, and the concentrated stress in the opening area of ​​the finite element model of the pressure vessel;

[0094] Among them, the tensile stress is required to be less than the allowable stress [σ], the bending stress is less than 1.5 [σ], and the concentrated stress is less than 3 [σ];

[0095] S7. If the verification result meets the design requirements, the design is completed. If not, repeat steps S5-S6 until it is met.

[0096] like Figure 2 As shown, the explosion-proof pressure vessel of this embodiment includes a pressure tank body 1, which is designed using the above-mentioned design method. The top of the pressure tank body 1 is provided with an access hole 101, and a head 2 is installed in conjunction with the access hole 101; the head 2 is mounted to the access hole 101 via a clamp 3; and an observation window is provided on the pressure tank body 1. The pressure tank body 1 can be placed horizontally or vertically, and transparent glass is installed in the observation window to facilitate observation of internal tests. The head 2 is detachably mounted to the access hole 101 via the clamp 3, thereby facilitating personnel entering and exiting the pressure tank body 1 for test model arrangement.

[0097] When conducting an explosion test on the explosion-resistant pressure vessel of this embodiment, the interior of the pressure vessel body 1 is filled with water, and the explosive charge 5 and the test model 6 are suspended inside the pressure vessel body 1 as required. The test model 6 is suspended inside the pressure vessel body 1 by several symmetrically arranged positioning ropes 4.

[0098] After the arrangement is completed, the head 2 is installed to form a sealed space inside the pressure tank body 1. Then, pressurize the interior of the pressure tank body 1 until its internal pressure reaches the test requirement pressure. Then, the explosive charge 5 is detonated to perform an explosion test to evaluate the explosion resistance of the test model 6.

[0099] The following is the specific embodiment section.

[0100] Example 1

[0101] Determine the basic parameters of the pressure vessel, where the shape of the pressure vessel is spherical, the diameter D of the pressure vessel is 7m, the maximum simulated depth h is 1500m, the maximum simulated charge W is 600g TNT, and the allowable stress [σ] of the pressure vessel is 230MPa;

[0102] Then, according to (Formula 1), the static load design pressure value of the pressure vessel is calculated to be P1=15MPa. In this embodiment, g is taken as 10N / kg, and ρ is taken as 10 3 kg / m 3 ;

[0103] Based on the energy equivalence principle, the dynamic load generated by the explosion is converted into a static load pressure value for calculation. The energy density E1 generated by the strong shock wave load is 3712 J / m 2 The energy density E2 generated by the bubble pulsation load is 3291 J / m 2 ;

[0104] According to the energy equivalent calculation principle, the dynamic load equivalent static pressure design value P2 of the pressure vessel is:

[0105]

[0106] If the safety design factor n is 1.2, the equivalent static pressure design value P3 of the pressure vessel under composite load is 23 MPa;

[0107] According to the equivalent static pressure design value P3 of the composite load, the calculated value of the main wall thickness of the pressure vessel is determined to be 180mm, and the wall thickness at the inlet and outlet openings is determined to be 250mm.

[0108] Establish a finite element calculation model in the abaqus finite element software, check the designed pressure vessel, and establish a good finite element model such as Figure 3 As shown;

[0109] At the same time, considering the coupling effect of hydrostatic pressure and explosion load, the stress distribution of the finite element model of the pressure vessel is analyzed and calculated using the abaqus finite element software. The calculation results are as follows: Figure 4 The maximum stress distribution of the key parts of the finite element model is shown in the following table:

[0110] Table 1 Schematic diagram of maximum stress distribution in key parts of the finite element model of pressure vessel

[0111] Part name Maximum stress value Whether it meets the design requirements Judgment Principles Observation window base 404MPa yes Local stress is less than 690MPa Inlet and outlet opening area 256MPa yes Local stress is less than 690MPa Maximum hoop tensile stress 204MPa yes Film stress is less than 230MPa Maximum hoop bending stress 25MPa yes Bending stress less than 345MPa Maximum longitudinal bending stress 229MPa yes Bending stress less than 345MPa Maximum longitudinal tensile stress 181MPa yes Film stress is less than 230MPa

[0112] According to the above table, the pressure vessel designed based on the design method of the explosion-resistant pressure vessel of this embodiment meets the use requirements and can be used to carry out explosion tests with a TNT charge of 600g under a hydrostatic pressure of 15MPa.

[0113] The above description is an explanation of the present invention, not a limitation of the present invention. The scope of the present invention is defined in the claims. Any modifications may be made within the scope of protection of the present invention.

Claims

1. A design method for an explosion-proof pressure vessel, characterized by: The steps include: S1. Determine basic parameters, including the shape of the pressure vessel, the maximum simulated depth h, the maximum simulated dose W; The maximum simulated depth h represents the maximum still water depth that can be simulated by pressurizing the pressure vessel; The simulated maximum charge W represents the maximum charge used in the explosion test inside the pressure vessel; S2. Based on the basic parameters in step S1, calculate the static load design pressure value P1 of the pressure vessel by (Equation 1); P1=ρgh (Equation 1) In (Equation 1), ρ represents the density of the liquid used when the pressure vessel is pressurized; g represents the acceleration due to gravity; h represents the maximum static water depth that can be simulated by pressurizing the pressure vessel; S3. Based on the basic parameters in step S1 and the energy equivalent calculation principle, calculate the dynamic load equivalent static pressure design value P2 of the pressure vessel by (Equation 2); In (Equation 2), D represents the diameter of the pressure vessel, E represents the elastic modulus of the material used to make the pressure vessel, [σ] represents the allowable stress of the pressure vessel, and α and β represent the energy absorption coefficients, which are constants. The values ​​of α and β are related to the explosion distance R. S4. Based on the static load design pressure value P1 calculated in step S2 and the dynamic load equivalent static pressure design value P2 calculated in step S3, the composite load equivalent static pressure design value P3 is calculated by (Equation 3); The composite load equivalent static pressure design value P3 refers to the equivalent static pressure design value of the pressure vessel under the combined action of static load and dynamic load; P3=n(P1+P2) (Formula 3) In (Equation 3), n represents the design safety factor; S5. Determine the main structural parameters of the pressure vessel according to the equivalent static pressure design value P3 of the composite load calculated in step S4, wherein the main structural parameters include the main wall thickness and the wall thickness of the inlet and outlet openings; S6. Perform finite element verification on the structural parameters in step S5 according to the composite load equivalent static pressure design value P3 calculated in step S4; S7. If the verification result meets the design requirements, the design is completed. If not, repeat steps S5-S6 until it is met.

2. The design method according to claim 1, wherein: The shapes of the pressure vessels include spherical, cylindrical, or a combination of spherical and cylindrical.

3. The design method according to claim 1, wherein: In step S3, the dynamic loads generated by the deep-water explosion include strong shock wave loads and bubble pulsation loads; The energy density E1 generated by the strong shock wave load is calculated by the following formula: In the above formula, W represents the amount of explosives used in the explosion test, and R represents the explosion distance; The energy density E2 generated by the bubble pulsation load is calculated by the following formula: In the above formula, W represents the amount of explosives used to carry out the explosion test, and R represents the explosion distance.

4. The design method according to claim 1, wherein: In step S4, the design formula of the main body wall thickness δ1 is as follows: Where Q represents the empirical coefficient, P3 represents the equivalent static pressure design value of the composite load, D represents the diameter of the pressure vessel, [σ] represents the allowable stress of the pressure vessel, Represents the weld joint condition coefficient.

5. The design method according to claim 1, wherein: In step S4, the design formula for the wall thickness δ2 at the inlet and outlet openings is as follows: In the formula, γ represents the empirical coefficient, D c represents the opening diameter, P3 represents the equivalent static pressure design value of the composite load, and [σ] represents the allowable stress of the pressure vessel.

6. The design method according to claim 1, wherein: In step S6, the total wave method in the Abaqus finite element software is used to perform a check, and the check includes the following steps: First, the finite element model of the pressure vessel and the internal water area are established in the abaqus finite element software; Subsequently, a check static pressure is applied to the interior of the pressure vessel, and static analysis calculations are performed using the Abaqus finite element software. The check static pressure value is equal to the static load design pressure value P1. Next, static pressure and explosion loads are applied to the finite element model of the pressure vessel simultaneously by restarting, and the results of the static analysis calculation in the previous step are specified as the initial stress, so that the restart calculation is carried out using the Abaqus finite element software; Finally, check the maximum stress distribution of key parts of the finite element model of the pressure vessel, including the tensile stress and bending stress of the main structure of the finite element model of the pressure vessel, and the concentrated stress in the opening area of ​​the finite element model of the pressure vessel.

7. The design method according to claim 6, wherein: The tensile stress is required to be less than the allowable stress [σ], the bending stress is required to be less than 1.5 [σ], and the concentrated stress is required to be less than 3 [σ].

8. An explosion-proof pressure vessel, characterized in that: The invention comprises a pressure tank body (1), wherein the pressure tank body (1) is designed by using the design method according to any one of claims 1 to 7, wherein an inlet and outlet hole (101) is provided on the top of the pressure tank body (1), and a head (2) is installed in conjunction with the inlet and outlet hole (101).

9. The explosion-proof pressure vessel according to claim 8, characterized in that: The sealing head (2) is mounted in conjunction with the inlet and outlet holes (101) via a clamp (3).

10. The explosion-proof pressure vessel according to claim 8, wherein: An observation window is provided on the pressure tank body (1).

Citation Information

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