CN108082764B - Liquid storage tank with double-layer cylindrical grating and stress calculation method thereof - Google Patents
Liquid storage tank with double-layer cylindrical grating and stress calculation method thereof Download PDFInfo
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- 239000007788 liquid Substances 0.000 title claims abstract description 118
- 238000004364 calculation method Methods 0.000 title claims abstract description 16
- 239000011148 porous material Substances 0.000 claims abstract description 18
- 238000002347 injection Methods 0.000 claims abstract description 8
- 239000007924 injection Substances 0.000 claims abstract description 8
- 238000003466 welding Methods 0.000 claims abstract description 4
- 238000000034 method Methods 0.000 claims description 8
- 239000012530 fluid Substances 0.000 claims description 7
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- 238000005859 coupling reaction Methods 0.000 claims description 2
- 238000006073 displacement reaction Methods 0.000 claims description 2
- 239000011159 matrix material Substances 0.000 claims description 2
- 230000001902 propagating effect Effects 0.000 claims description 2
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- 239000011800 void material Substances 0.000 claims description 2
- 230000001603 reducing effect Effects 0.000 abstract description 14
- 239000000463 material Substances 0.000 abstract description 2
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- 230000008901 benefit Effects 0.000 description 9
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- 239000003921 oil Substances 0.000 description 3
- 230000021715 photosynthesis, light harvesting Effects 0.000 description 3
- 238000013016 damping Methods 0.000 description 2
- 230000002401 inhibitory effect Effects 0.000 description 2
- 230000007246 mechanism Effects 0.000 description 2
- 230000010355 oscillation Effects 0.000 description 2
- 230000009467 reduction Effects 0.000 description 2
- 238000004088 simulation Methods 0.000 description 2
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- 238000010586 diagram Methods 0.000 description 1
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B65—CONVEYING; PACKING; STORING; HANDLING THIN OR FILAMENTARY MATERIAL
- B65D—CONTAINERS FOR STORAGE OR TRANSPORT OF ARTICLES OR MATERIALS, e.g. BAGS, BARRELS, BOTTLES, BOXES, CANS, CARTONS, CRATES, DRUMS, JARS, TANKS, HOPPERS, FORWARDING CONTAINERS; ACCESSORIES, CLOSURES, OR FITTINGS THEREFOR; PACKAGING ELEMENTS; PACKAGES
- B65D90/00—Component parts, details or accessories for large containers
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Abstract
The invention belongs to the technical field of liquid storage devices, and relates to a liquid storage tank with a double-layer cylindrical grating and a stress calculation method thereof, wherein the liquid storage tank comprises a tank wall, a tank top, a first grating, a second grating, a liquid injection port and a tank bottom; the tank wall, the first grating and the second grating are cylindrical, and the three are concentric in any cross section, wherein the first grating is an inner layer grating, and the second grating is an outer layer grating; the first grating and the second grating are of open pore structures, and the pore influence coefficients are uniform; the first grid and the second grid are connected with the top of the tank and the bottom of the tank through welding; the liquid injection port is arranged at the lower part of the tank wall and is used for injecting liquid into the liquid storage tank. The liquid storage tank dissipates the sloshing energy in the liquid tank through the holes, and the force born by the liquid storage tank is calculated according to the linear potential flow theory. Compared with the prior art, the invention has good shaking reducing effect, and the open pore structure can reduce consumable materials, has light weight and economy, and has little influence on the effective volume of the liquid storage tank.
Description
Technical Field
The invention belongs to the technical field of liquid storage devices, relates to a liquid storage tank with a double-layer cylindrical grid and a stress calculation method thereof, and particularly relates to a liquid storage tank capable of achieving an effect of inhibiting sloshing liquid by means of good energy dissipation performance of the double-layer cylindrical grid, namely by means of sloshing energy dissipated in a liquid tank through holes.
Background
In the engineering fields of aerospace, hydraulic engineering aqueduct structures, large ocean vessels transportation, ultra-large crude oil storage tanks and the like, liquid sloshing is a ubiquitous phenomenon and affects the design of engineering structures and the safety of engineering operation. The tank body is characterized by large reserve, and when the external excitation frequency is close to the natural frequency of the container, liquid sloshing can generate resonance, and large oscillation occurs. The intense liquid oscillations will create a significant hydrodynamic pressure on the container walls, compromising the container. For example, for marine vehicles such as ships, ships and vessels, the damage of the tank body can cause oil leakage to pollute the sea, and the capsizing of the ships is a great loss of life and property safety of people; for civil enterprises such as oil houses and nuclear power stations, the enterprises are often close to cities, once the tank body is damaged, secondary accidents are very easy to occur, serious losses are caused to lives and properties of people, the ecological environment of the cities is damaged, and the consequences are not considered.
The mechanism of the liquid storage tank sloshing is mastered, reasonable liquid tank design is carried out in a targeted manner, the liquid storage container structure is optimized, the liquid tank sloshing amplitude and the impact pressure are reduced, and the possibility of accident occurrence is the current research hot spot and key point. The design of the damping structure in the tank is a convenient and quick method, and the damping baffle plate is used for the simplest structure, however, the baffle plate type and the relative position of the baffle plate in the container have great difference in the anti-shake effect. Different types of baffle anti-sloshing mechanisms become the key to reasonably design the tank. Aiming at a cylindrical liquid storage tank, the existing research and design achievements are mostly limited to a single or a plurality of annular horizontal solid baffles (fixed on the side wall of a container), but the research on vertical baffles coaxial with the cylindrical liquid storage tank is not yet reported, and if the baffles are arranged, the container is easily divided into a plurality of independent water tanks, but the shaking reduction effect is not realized. The good wave eliminating performance of the perforated plate breakwater in the coast engineering field is combined, the perforated grid is transplanted to the cylindrical liquid tank, so that the fluid can be effectively inhibited from climbing on the side wall of the liquid tank greatly, the sloshing energy in the liquid tank is dissipated by virtue of the pores, and meanwhile, the huge impact force suffered by the tank body can be greatly reduced.
Disclosure of Invention
Aiming at the problems provided by the prior art, the invention provides a liquid storage tank with a double-layer cylindrical grid and a stress calculation method thereof, in particular to a liquid storage tank capable of achieving the effect of inhibiting sloshing liquid by means of good energy dissipation performance of the double-layer cylindrical grid, namely by means of dissipating sloshing energy in a liquid tank through pores.
The open-pore plate breakwater in ocean engineering is used for reference, and a liquid storage tank with double-layer cylindrical grids is provided for the first time. The pore coefficient of the perforated grid can be adjusted to play a very effective role in energy dissipation and shaking reduction, reduce engineering cost, generate good economic benefit, and is easy to design and convenient to use; meanwhile, the numerical calculation result shows that the double-layer open-pore grille has better anti-shaking effect than the single-layer open-pore grille.
In order to achieve the above purpose, the technical scheme of the invention is as follows:
a liquid storage tank with double-layer cylindrical grids comprises a tank wall 1, a tank top 2, a first grid 3, a second grid 4, a liquid injection port 5 and a tank bottom 7. The tank wall 1, the first grating 3 and the second grating 4 are all cylindrical, and the three are concentric in any cross section, wherein the first grating 3 is an inner layer grating, and the second grating 4 is an outer layer grating. The first grating 3 and the second grating 4 are of open pore structures, the pore influence coefficients of the first grating 3 and the second grating 4 can be the same or different, and the pore influence coefficients of the first grating 3 and the second grating 4 are uniform. The first grating 3 and the second grating 4 are connected with the tank top 2 and the tank bottom 7 through welding; the liquid injection port 5 is arranged at the lower part of the tank wall 1 and is used for injecting liquid 6 into the liquid storage tank, and the liquid 6 is oil, water and the like.
The liquid storage tank with the double-layer cylindrical grating dissipates the sloshing energy in the liquid tank through the pores, plays a role in reducing sloshing, and the calculation method for the stress (sloshing force) of the liquid storage tank comprises the following steps:
setting the radius of a tank body of the liquid storage tank as b, the radius of a grating as a, and the void influence coefficient as G1; the radius of the second grating is c, the pore influence coefficient is G2, and the liquid storage tank is filled with liquid with depth H. The bottom end of the liquid storage tank is fixed and bears x=ae in the X direction -iωt Wherein A is the amplitude of the sloshing displacement, ω is the sloshing frequency, and t is the time. In the calculation process, the following parameters will also be used: liquid density ρ, gravitational acceleration g.
The first step, dividing the whole river basin into three calculation subdomains, wherein the first calculation subdomain is a cylindrical domain omega formed by a grid I Ⅰ The second subdomain is a circular column domain omega between the first and second grids Ⅱ The third subdomain is a circular column domain omega between the second grating and the tank body of the liquid storage tank Ⅲ 。
Second, based on linear potential flow theory, the fluid in each sub-domain is represented by a velocity potential function Φ (x, y, z, t):
wherein the first term in the right-hand term of the above equation represents the contribution of the propagation modality to the total velocity potential; the second term represents the contribution of the non-propagating mode to the overall velocity potential; wherein, and->Satisfy the Helmholtz equation and the modified Helmholtz equation, k, respectively 0 And k m (m=1, 2, …, +_j) satisfies the dispersion equation, x, y, z represents three-dimensional cartesian coordinates. At the same time set omega Ⅰ ,Ω Ⅱ And omega Ⅲ The velocity potential of (a) is->And->Indicating that the coupling boundary conditions should also be met between the sub-domains: on the liquid storage tank body, the requirement of +.>At one place of the grille should satisfyThe second part of the grid should meetWherein, i is imaginary unit, ">And->Is the normal derivative of the velocity potential.
Thirdly, a proportional boundary finite element method is applied to obtain the informationAnd->Is shown in the following formula:
wherein, for->And->Node values of E 0 ,E 2 ζ=k as coefficient matrix 0 bζ, ζ is the radial coordinate in the proportional boundary finite element coordinate.
Fourth, solving the proportional boundary finite element control equation to obtainAnd->And thus the velocity potential function of each sub-field, and the total field velocity potential is determined according to the superposition principle. />
Fifth, after the total field velocity potential is found, the liquid velocity, wave surface height and dynamic pressure are respectively determined by the following expressions: v= v phi,p=-ρΦ ,t the method comprises the steps of carrying out a first treatment on the surface of the The total force applied to the fluid reservoir is calculated as follows:wherein->Is the force applied to the structure per unit length.
Compared with the prior art, the invention has the following advantages: 1) The shaking reducing effect is good; 2) The perforated structure reduces consumable materials, and has light weight and economy; 3) The influence on the effective volume of the liquid storage tank is small.
Drawings
FIG. 1 is a schematic diagram of a reservoir;
fig. 2 is a top view of the reservoir.
Fig. 3 is a front view of the fluid reservoir.
Fig. 4 is a graph comparing total normalized wave force experienced by the structure for different grid settings when a=0.3c= 0.6G1 =g2=0.5.
Fig. 5 is a graph comparing total normalized wave force experienced by the structure for different grid settings when a=0.4c= 0.7G1 =g2=0.5.
Fig. 6 is a graph comparing total normalized wave force experienced by the structure for different grid settings when a=0.5c= 0.7G1 =g2=0.5.
Fig. 7 is a graph comparing total normalized wave force experienced by the structure for different grid settings when a=0.6c= 0.7G1 =g2=0.5.
Fig. 8 is a graph of liquid level at point (b, 0) for different grid settings when a=0.3c= 0.6G1 =g2=0.5.
Fig. 9 is a graph of liquid level at point (b, 0) for different grid settings when a=0.4c= 0.7G1 =g2=0.5.
Fig. 10 is a graph of liquid level at point (b, 0) for different grid settings when a=0.5c= 0.7G1 =g2=0.5.
Fig. 11 is a graph of liquid level at point (b, 0) for different grid settings when a=0.6c= 0.7G1 =g2=0.5.
In the figure: 1 tank wall; 2, a tank top; 3, a first grid; 4, a second grating; a liquid injection port 5; 6, liquid; 7 tank bottoms.
Detailed Description
The principle of application of the invention is further described below with reference to the drawings and simulation examples. It should be understood that the simulation examples described herein are merely illustrative of the present invention and are not intended to limit the present invention.
Referring to fig. 1-11, the present invention discloses a liquid storage tank with a double layer cylindrical grating. A liquid storage tank with double-layer cylindrical grids comprises a tank wall 1, a tank top 2, a first grid 3, a second grid 4, a liquid injection port 5 and a tank bottom 7. The tank wall 1, the first grating 3 and the second grating 4 are all cylindrical, and the three are concentric in any cross section. The first grating 3 and the second grating 4 are both open-pore structures. The first grating 3 and the second grating 4 are connected with the tank top 2 and the tank bottom 7 through welding; the liquid filling port 5 is arranged at the lower part of the tank wall 1. The liquid storage tank is filled with liquid 6.
In the present invention, the correlation calculation follows the linear potential flow theory.
For a non-rotating, non-viscous ideal fluid, it can be expressed by the velocity potential function Φ (x, y, z, t):according to the relevant boundary conditions +.>The expression can be as follows:the first term in the right-hand term above represents the contribution of the propagation mode to the total velocity potential, and the second term represents the contribution of the non-propagation mode to the total velocity potential, where k 0 And k m (1, 2, …, +_A) to satisfy the dispersion equation.
Applying a proportional boundary finite element method to obtain a total field velocityAfter the potential is found, the velocity, wave surface height and dynamic pressure can be determined by the following expressions, respectively: v= v phi,p=-ρΦ ,t the method comprises the steps of carrying out a first treatment on the surface of the The total force to which the system is subjected can be calculated as follows:
to illustrate the hydrodynamic characteristics of the system, a correlation expression will be given for the correlation calculation example; in the example concerned, b=1, h=2. In the figure, k represents the wave number k 0 η is the liquid level (based on z=0), |f x And I is normalized wave force, and the normalized coefficient is: ρ Agk 0 tanh(k 0 H)·πb 2 H。
Referring to fig. 4, taking a=0.3, c=0.6, g1=g2=0.5, it can be found that the peak magnitude relationship of the total normalized wave force to which the structure is subjected when reaching resonance is: the liquid storage tank with the double-layer cylindrical grating has the advantages that the liquid storage tank is largest when only the outer grating is arranged, the liquid storage tank is inferior when only the inner grating is arranged, the liquid storage tank is smallest when the inner grating is arranged and the liquid storage tank is stable in structure, and the shaking reducing effect is good when the wave force peak value is smaller.
Referring to fig. 5, taking a=0.4c= 0.7G1 =g2=0.5, it can be found that under different grid settings, the peak magnitude relationship of the total normalized wave force suffered by the structure when reaching resonance is: the liquid storage tank with the double-layer cylindrical grating has the advantages that the liquid storage tank is largest when only the outer grating is arranged, the liquid storage tank is inferior when only the inner grating is arranged, the liquid storage tank is smallest when the inner grating is arranged and the liquid storage tank is stable in structure, and the shaking reducing effect is good when the wave force peak value is smaller.
Referring to fig. 6, taking a=0.5c= 0.7G1 =g2=0.5, it can be found that under different grid settings, the peak magnitude relationship of the total normalized wave force suffered by the structure when reaching resonance is: the liquid storage tank with the double-layer cylindrical grating has the advantages that the liquid storage tank is largest when only the outer grating is arranged, the liquid storage tank is inferior when only the inner grating is arranged, the liquid storage tank is smallest when the inner grating is arranged and the liquid storage tank is stable in structure, and the shaking reducing effect is good when the wave force peak value is smaller.
Referring to fig. 7, taking a=0.6c= 0.7G1 =g2=0.5, it can be found that under different grid settings, the peak magnitude relationship of the total normalized wave force suffered by the structure when reaching resonance is: the liquid storage tank with the double-layer cylindrical grating has the advantages that the liquid storage tank is largest when only the outer grating is arranged, the liquid storage tank is inferior when only the inner grating is arranged, the liquid storage tank is smallest when the inner grating is arranged and the liquid storage tank is stable in structure, and the shaking reducing effect is good when the wave force peak value is smaller.
Referring to fig. 8, taking a=0.3, c=0.6, g1=g2=0.5, it can be found that the peak magnitude relationship of the liquid level height at the point of reaching resonance (b, 0) under different grid settings is: the liquid storage tank with the double-layer cylindrical grating has the advantages that the liquid storage tank is largest when only the inner-layer grating is arranged, the liquid storage tank is smallest when only the outer-layer grating is arranged, the liquid level height peak value is smaller, the shaking reducing effect is better, and the structure is more stable.
Referring to fig. 9, taking a=0.4c= 0.7G1 =g2=0.5, it can be found that the peak magnitude relationship of the liquid level height at the resonance time point (b, 0) is: only the inner layer or only the outer layer grids are larger, the minimum is achieved when the inner layer and the outer layer grids exist, the smaller the liquid level height peak value is, the better the shaking reducing effect is, so that the liquid storage tank with the double-layer cylindrical grids is better in shaking reducing effect, and the structure is more stable.
Referring to fig. 10, taking a=0.5c= 0.7G1 =g2=0.5, it can be found that the peak magnitude relationship of the liquid level height at the resonance time point (b, 0) is: the liquid storage tank with the double-layer cylindrical grating has the advantages that the liquid storage tank is largest when only the outer grating is arranged, smallest when the inner grating is arranged and the outer grating is arranged, and better in shaking reducing effect when the liquid level height peak value is smaller, so that the shaking reducing effect of the liquid storage tank with the double-layer cylindrical grating is better, and the structure is more stable.
Referring to fig. 11, taking a=0.3, c=0.6, g1=g2=0.5, it can be found that the peak magnitude relationship of the liquid level height at the point of reaching resonance (b, 0) under different grid settings is: the liquid storage tank with the double-layer cylindrical grating has the advantages that the liquid storage tank is largest when only the outer grating is arranged, smallest when the inner grating is arranged and the outer grating is arranged, and better in shaking reducing effect when the liquid level height peak value is smaller, so that the shaking reducing effect of the liquid storage tank with the double-layer cylindrical grating is better, and the structure is more stable.
Claims (1)
1. The stress calculation method of the liquid storage tank with the double-layer cylindrical grating is characterized in that the liquid storage tank comprises a tank wall (1), a tank top (2), a grating I (3), a grating II (4), a liquid injection port (5) and a tank bottom (7); the tank wall (1), the first grating (3) and the second grating (4) are cylindrical, and the three are concentric in any cross section, wherein the first grating (3) is an inner layer grating, and the second grating (4) is an outer layer grating; the first grating (3) and the second grating (4) are of open pore structures, and the pore influence coefficients are uniform; the first grille (3) and the second grille (4) are connected with the tank top (2) and the tank bottom (7) through welding; the liquid injection port (5) is arranged at the lower part of the tank wall (1) and is used for injecting liquid (6) into the liquid storage tank;
the stress calculation method comprises the following steps:
setting the radius of a tank body of the liquid storage tank as b, the radius of a grating as a, and the void influence coefficient as G1; the radius of the second grating is c, the pore influence coefficient is G2, and the liquid storage tank is filled with liquid with depth H; the bottom end of the liquid storage tank is fixed and bears x=ae in the X direction -iωt Wherein A is the amplitude of the sloshing displacement, ω is the sloshing frequency, and t is the time; liquid density ρ, gravitational acceleration g;
the first step, dividing the whole river basin into three calculation subdomains, wherein the first calculation subdomain is a cylindrical domain omega formed by a grid I Ⅰ The second subdomain is a circular column domain omega between the first and second grids Ⅱ The third subdomain is a circular column domain omega between the second grating and the tank body of the liquid storage tank Ⅲ ;
Second, the fluid in each sub-domain is represented by a velocity potential function Φ (x, y, z, t):
wherein the first term in the right-hand term of the above equation represents the contribution of the propagation modality to the total velocity potential; the second term represents the contribution of the non-propagating mode to the overall velocity potential; wherein, and->Satisfy the Helmholtz equation and the modified Helmholtz equation, k, respectively 0 And k m (m=1, 2, …, +_j) satisfies the dispersion equation, x, y, z represents three-dimensional cartesian coordinates;
at the same time set omega Ⅰ ,Ω Ⅱ And omega Ⅲ The velocity and potential of (a) are respectively usedAnd->Representing that the coupling boundary conditions satisfied between the sub-domains are: on the liquid storage tank body, satisfy +.>At the first part of the grid satisfyAt the second part of the gridWherein i is an imaginary unit, ++>And->Is the normal derivative of the velocity potential;
thirdly, a proportional boundary finite element method is applied to obtain the informationAnd->Is shown in the following formula:
wherein, for->And->Node values of E 0 ,E 2 ζ=k as coefficient matrix 0 bζ, ζ is the radial coordinate in the proportional boundary finite element coordinate;
fourth, solving the proportional boundary finite element control equation to obtainAnd->And thus the velocity potential function of each sub-region, and the total field velocity potential is determined based on the superposition principle;/>
Fifth, after the total field velocity potential is found, the liquid velocity, wave surface height and dynamic pressure are respectively determined by the following expressions:p=-ρΦ ,t the method comprises the steps of carrying out a first treatment on the surface of the The total force applied to the fluid reservoir is calculated as follows:wherein->Is the force applied to the structure per unit length. />
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CN109972587B (en) * | 2019-04-09 | 2020-08-25 | 大连理工大学 | Circular cylindrical wave-preventing structure and numerical calculation method thereof |
CN109956142B (en) * | 2019-04-09 | 2020-11-13 | 大连理工大学 | Liquid storage tank with filling cylindrical energy dissipation structure and numerical calculation method thereof |
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