CN110046467B - Gate earthquake response analysis method considering gate water seal mechanical characteristic effect - Google Patents
Gate earthquake response analysis method considering gate water seal mechanical characteristic effect Download PDFInfo
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Abstract
The invention relates to a gate seismic response analysis method considering gate water seal mechanical characteristic effect, which comprises the following steps: s1, determining the relation of water seal compression modulus along with compression amount and friction coefficient; s2, determining the structural body type of the water seal; s3, determining the prepressing amount of the water seal; s4, determining the relation between the water seal prepressing amount and the water seal contact surface width; s5, constructing a spring model connected between the gate and the dam body or the gate pier; s6, determining the acting force applied to the unit length of the water seal; s7, determining the total acting force acting on the water seal; s8, establishing a gate three-dimensional geometry and finite element model; s9, establishing a gate structure mechanical equation; and S10, inputting corresponding seismic fluctuation data and calculating the seismic response of the gate structure. The invention discloses a method for analyzing the seismic response of a gate by considering the mechanical characteristic effect of a gate water seal, which can effectively solve the problems that the influence of the affiliated water seal structure of the gate, the connection between the gate and a dam body and the seismic force transmission are neglected in the conventional method.
Description
Technical Field
The invention relates to the technical field of gate seismic response analysis, in particular to a gate seismic response analysis method considering gate water seal mechanical characteristic effect.
Background
The hydraulic steel gate is a common water retaining structure in hydraulic buildings, is also an important control building in engineering, and is mainly used for flood discharge, water diversion, sand discharge control, power station accident control and the like of a water conservancy project. In the design of the hydraulic steel gate, a static design is mainly adopted, the importance of engineering is considered, and a power safety coefficient of 1.2 times is considered on the basis of the static design; the earthquake high-rise area and the earthquake intensity are higher than 7 degrees, and the gate needs to be designed for earthquake resistance. A method adopted in the gate anti-seismic design generally adopts a quasi-static method, and a dynamic time-course method is also adopted for important engineering to carry out anti-seismic analysis. When the dynamic time-course method is used for gate earthquake-proof analysis, the artificially synthesized ground earthquake acceleration is generally used as the basic data of earthquake motion input, and for a dam body gate, the gate earthquake input data is obtained by dam body earthquake response analysis. For the low-water-head hydraulic engineering, because the height of the water retaining building is small, the top acceleration whip effect of the water retaining building caused by earthquake fluctuation transmitted from the ground is small, and the earthquake effect is not always the determined working condition of the gate design; in the concrete dam with high and ultrahigh water head (the dam height can reach 300m), the different elevations of the dam body cause the amplification effect of earthquake dynamic acceleration, particularly the top part of the dam, the earthquake dynamic acceleration can reach 10 times or even 20-30 times of ground acceleration, and the maximum acceleration value can reach 3g, under the condition, the design of the dam body gate is often determined by the earthquake working condition.
In the existing gate anti-seismic calculation, the seismic acceleration is often directly applied to a door body structure, the propagation mode and the law of seismic motion between a gate auxiliary structure (water seal and the like) and a dam body and a gate are not considered, and the requirement of anti-seismic design on a gate of a dam body of a high dam is often not met.
Disclosure of Invention
The invention aims to provide a gate earthquake response analysis method considering the mechanical characteristic effect of gate water seal, which can effectively solve the problems of neglecting the influence of the gate auxiliary water seal structure in the existing gate earthquake response analysis and the connection between a gate and a dam body and earthquake force transmission in the gate earthquake resistance analysis.
In order to solve the technical problems, the invention adopts the following technical scheme:
a gate seismic response analysis method considering gate water seal mechanical characteristic effect comprises the following steps:
s1, determining the relation E of the compression modulus of the water seal along with the compression amount according to the basic mechanical characteristic data of the gate water seals＝f1(Δ L/L) and coefficient of friction μ;
s2, determining the structural body type of the water seal;
s3, determining the prepressing quantity delta L of the water seal;
s4, determining the relation between the water seal prepressing quantity delta L and the water seal contact surface width delta B, wherein the delta B is f2(ΔL)；
S5, constructing a spring model connected between the gate and the dam body or the gate pier;
s6, determining the acting force applied to the unit length of the water seal according to the step S4 and the step S5;
s7, determining the total acting force acting on the water seal;
s8, establishing a three-dimensional geometric and finite element model of the gate according to positions of the top and side water seals during gate design, partitioning the gate at the center of the water seal to form a connecting node at the water seal position when the gate is subjected to grid division, and establishing a tangential spring model and a normal spring model;
s9, constructing a comprehensive finite element model combining the gate and the water seal spring model, and establishing a gate structure mechanical equation:
in the formula: msMass of the gate structure, C damping of the gate structure, K rigidity of the gate structure, Ft0For the initial moment of the boundary spring force, FeIn order to input the seismic wave action force,
in order for the gate to respond to the acceleration,
x is the response speed, and x is the response displacement;
and S10, inputting corresponding seismic fluctuation data according to the gate structure mechanical equation in the step S9, and calculating the seismic response of the gate structure.
Wherein, the spring model of being connected between gate and dam body or the gate pier includes normal direction spring model and tangential spring model, normal direction spring model is:
in the formula, PσIn order to act as a normal force,
the normal spring stiffness, L the width of the water seal and Delta L the water seal prepressing amount;
modulus of compression EsSatisfy the requirement of
Δ L < 0 indicates tension, Δ L > 0 indicates compression;
the tangential spring model is as follows:
in the formula (I), the compound is shown in the specification,
is the tangential spring rate.
The total acting force acting on the water seal in the step 7 is as follows:
in the formula: delta L is the prepressing amount of the water seal, Delta B is the width of the water seal contact surface, L0The length of the water seal.
The spring model of each node in the finite element model in step 8 is:
in the formula:
is the spring normal stiffness of each node point,
the spring tangential stiffness of each node.
According to the method for analyzing the earthquake response of the gate in consideration of the mechanical property effect of the gate water seal, the mechanical property effect of the gate water seal is taken into consideration, the basic mechanical property data of the gate water seal is analyzed, the structural body type and the pre-pressing amount of the gate water seal and the relation between the water seal pre-pressing amount and the width of a water seal contact surface are determined, and finally, a comprehensive finite element model is established to effectively and simply simulate the influence of an auxiliary water seal structure of the gate on the earthquake response of the gate and effectively solve the problems of connection between the gate and a dam body and earthquake force transmission in the earthquake resistance analysis of the gate.
Drawings
FIG. 1 is a front view of a gate and its attached water seal structure according to an embodiment;
FIG. 2 is a top view of the gate and its associated water seal structure according to the embodiment;
FIG. 3 is an enlarged detail view taken at N of FIG. 1;
FIG. 4 is an enlarged detail view at R of FIG. 1;
FIG. 5 is an enlarged detail view taken at S of FIG. 2;
FIG. 6 is a view showing a model of a mountain-shaped water seal spring;
fig. 7 is a block-end P-spring model construction diagram.
In the figure: 1. a gate body; 2. a gate support arm; 3. a gate support hinge; 4. a gate support; 5. the top is mainly used for stopping water; 6. the top part is used for preventing water injection and stopping water; 7. auxiliary side water stopping; 8. stopping water on the main side; 9. a gate side wheel; 10. stopping water at the bottom; 11. a lock chamber side wall; 12. a lock chamber side wall; 13. a gate panel; 14. a water seal backing plate and a pressure plate.
Detailed Description
In order that the objects and advantages of the invention will be more clearly understood, the following description is given in conjunction with the accompanying examples. It is to be understood that the following text is merely illustrative of one or more specific embodiments of the invention and does not strictly limit the scope of the invention as specifically claimed.
In the embodiment, the top water seal adopts a mountain-shaped water seal, and an omega-shaped water seal and a P-shaped water seal can also be adopted in the low water head gate; the side water seal adopts a mode of combining a mountain-shaped main water seal and a P-shaped auxiliary water seal, and for a low water head, the mountain-shaped main water seal can be cancelled and the P-shaped auxiliary water seal can be adopted; the bottom water seal adopts a mountain-shaped water seal, and under the condition of a low water head, the mountain-shaped water seal can be cancelled and a strip-shaped bottom water seal is arranged at the position of a bottom beam of the gate.
In this embodiment, the top, bottom and side hill sealers are disposed on the chamber concrete structure and installed with an initial compression Δ L0To ensure water sealing; side water seal assistThe block P seal also has an initial pre-pressure to stop water. The practice of the present invention will be described in detail with respect to the mountain-type and P-type water seals in the embodiments.
Referring to fig. 1 to 7, in the drawings, a gate body 1, a gate support arm 2, a gate support hinge 3, a gate support 4, a top main water stop 5, a top water-jet prevention water stop 6, an auxiliary side water stop 7, a main side water stop 8, a gate side wheel 9, a bottom water stop 10, a gate chamber side wall 11, a gate chamber side wall 12, a gate panel 13, a water seal cushion plate and a pressing plate 14 are shown; the reference numerals in the drawings are used for explaining the gate and the attached water seal structure thereof in the embodiment, so as to facilitate understanding.
S1, collecting the basic physical and mechanical property data of the water seal, adopting the same rubber material for the mountain-shaped water seal and the P-shaped water seal, and adopting different materials according to actual needs, wherein the relation between the compression modulus and the compression amount of the material satisfies Es＝f1(delta L/L), the compression modulus of typical materials is given for 20%, 30% and 40% of compression in NBT35086-2016 design Specification for hydroelectric gate sealing devices, and for structures with low calculation requirements, three sets of data can be adopted to fit a relation curve of the compression modulus and the compression modulus, otherwise, the relation of the compression modulus and the compression modulus needs to be determined through detailed mechanical experiments or numerical calculation. The friction coefficient of the rubber material and the steel can be determined according to appendix N in the specification SL74-2013 design specification of hydraulic and hydroelectric engineering steel gates, and the friction coefficient mu between the rubber material and the concrete is generally 0.6-0.85 in a dry state and generally 0.45-0.75 in a wet state.
Step S2, determining the water seal structure type, the water seal structure type of this embodiment is shown in fig. 6 and 7, wherein the top water seal is a mountain type, and the side water seal is a square-headed P type.
Step S3, the preliminary pressing amount Δ L of the water seal is shown in fig. 6 and 7, in the embodiment, the preliminary pressing amount of the mountain type water seal is 25mm, and the preliminary pressing amount of the square-headed P type water seal is 3 mm.
Step S4, the relationship between the water seal pre-pressing amount Δ L and the contact width Δ B, because the water seal rubber material has the characteristics of incompressible and superelasticity, generally the contact width Δ B is similar to the width of the water seal cross section when the water seal pre-pressing Δ L, as shown in fig. 6, the contact width of the mountain-shaped water seal, if an accurate relationship curve is required, is determined by the water seal water-sealing test and numerical simulation.
Step S5, constructing a spring model connected between the gate and the dam body or the gate pier, wherein the spring model connected between the gate and the dam body or the gate pier comprises a normal spring model and a tangential spring model, and the normal spring model is as follows:
in the formula, PσIn order to act as a normal force,
the normal spring stiffness, L the width of the water seal and Delta L the water seal prepressing amount;
modulus of compression EsSatisfy the requirement of
Δ L < 0 indicates tension, Δ L > 0 indicates compression;
the tangential spring model is as follows:
in the formula (I), the compound is shown in the specification,
is the tangential spring rate.
Step S6, determining the total acting force acting on the water seal, wherein the length of the water seal is certain for a specific gate, and if the length of the water seal is L0The total force F acting on the water seal is expressed as
And step S7, building a gate three-dimensional geometry and finite element model, and dispersing the structure into finite elements. For the contact part of the gate and the water seal, the node number N of each contact part is obtained according to a finite element model, and because the water seal is uniformly compressed during compression, the compression amount of each part is the same, the spring acting force F born by each node can be expressed as F ═ F/N, and the total acting force is dispersed on each node.
Step S8, spring model of each node in finite element model:
spring normal stiffness
Tangential stiffness
Step S9, according to the kinetic equation of the finite element model of the gate structure
In the formula: msMass of the gate structure, C damping of the gate structure, K rigidity of the gate structure, Ft0For the initial moment of the boundary spring force, FeIn order to input the seismic wave action force,
in order for the gate to respond to the acceleration,
x is the response speed, and x is the response displacement;
wherein, the boundary spring acting force: the boundary spring model is characterized in that the initial length of a spring is the width of a water seal, the initial compression amount is the initial prepressing amount of the water seal, and the initial acting force of the spring is determined by the initial compression amount; the later spring acting force changes along with the response analysis result of the gate structure;
seismic wave acting force Fe: the normal input is acceleration, so the acting force is expressed as MsAnd alpha is the acceleration process of the input.
And S10, inputting corresponding seismic fluctuation data, calculating the seismic response of the gate structure, and taking the water seal spring model as a boundary condition into consideration in the seismic response analysis of the whole gate structure.
The present invention is not limited to the above embodiments, and those skilled in the art can make various equivalent changes and substitutions without departing from the principle of the present invention after learning the content of the present invention, and these equivalent changes and substitutions should be considered as belonging to the protection scope of the present invention.
Claims (4)
1. A gate seismic response analysis method considering gate water seal mechanical characteristic effect is characterized by comprising the following steps:
s1, determining the relation of compression modulus of a water seal along with compression amount according to basic mechanical characteristic data of the gate water seal
And coefficient of friction
，
In the formula:
is the width of the water seal,
water seal prepressing amount;
s2, determining the structural body type of the water seal;
s3, determining the prepressing quantity of the water seal
；
S4, determining the prepressing quantity of the water seal
Width of contact surface with water seal
The relationship between the two or more of them,
；
s5, constructing a spring model connected between the gate and the dam body or the gate pier;
s6, determining the acting force exerted on the unit length of the water seal according to the step S4 and the step S5;
s7, determining the total acting force acting on the water seal;
s8, establishing a three-dimensional geometric and finite element model of the gate according to positions of the top and side water seals during gate design, partitioning the gate at the center of the water seal to form a connecting node at the water seal position when the gate is subjected to grid division, and establishing a tangential spring model and a normal spring model;
s9, constructing a comprehensive finite element model combining the gate and the water seal spring model, and establishing a gate structure mechanical equation:
in the formula:
in order to provide the quality of the gate structure,
in order to damp the gate structure,
in order to provide structural rigidity to the gate,
for the initial moment in time the boundary spring force,
in order to input the seismic wave action force,
in order for the gate to respond to the acceleration,
in order to respond to the speed of the response,
in response to the displacement;
and S10, inputting corresponding seismic fluctuation data according to the gate structure mechanical equation in the step S9, and calculating the seismic response of the gate structure.
2. The method for analyzing the seismic response of the gate with the consideration of the mechanical property effect of the gate water seal, according to claim 1, wherein the spring model connected between the gate and the dam body or the gate pier comprises a normal spring model and a tangential spring model, and the normal spring model is as follows:
in the formula (I), the compound is shown in the specification,
in order to act as a normal force,
for the normal spring rate to be the same,
is the width of the water seal,
water seal prepressing amount;
modulus of compression
Satisfy the requirement of
，
It is indicated that the tension is being exerted,
indicating compression;
the tangential spring model is as follows:
in the formula (I), the compound is shown in the specification,
is the tangential spring rate.
3. The method for analyzing the seismic response of the gate with the consideration of the mechanical property effect of the gate water seal as claimed in claim 1, wherein the total acting force acting on the water seal in the step 7 is as follows:
in the formula:
the pre-pressing amount of the water seal is the pre-pressing amount of the water seal,
in order to obtain the width of the water seal contact surface,
the length of the water seal.
4. The method for analyzing the seismic response of the gate with the consideration of the mechanical property effect of the gate water seal as claimed in claim 1, wherein the spring model of each node in the finite element model in the step 8 is:
in the formula:Nis the number of nodes;
is the spring normal stiffness of each node point,
the spring tangential stiffness of each node.
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| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102521514A (en) * | 2011-12-16 | 2012-06-27 | 天津大学 | Deep-water pier seismic response evaluation method taking water-pier coupling effect into consideration |
| CN105975730A (en) * | 2016-06-14 | 2016-09-28 | 华北水利水电大学 | Multi-tuned mass damper vibration absorption design method for arc-shaped steel gate |
| CN109563690A (en) * | 2016-08-22 | 2019-04-02 | 寺田溥 | Sluice |
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| EP3339513B1 (en) * | 2015-09-25 | 2020-03-25 | Terata, Hiroshi | Sluice gate |
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|---|---|---|---|---|
| CN102521514A (en) * | 2011-12-16 | 2012-06-27 | 天津大学 | Deep-water pier seismic response evaluation method taking water-pier coupling effect into consideration |
| CN105975730A (en) * | 2016-06-14 | 2016-09-28 | 华北水利水电大学 | Multi-tuned mass damper vibration absorption design method for arc-shaped steel gate |
| CN109563690A (en) * | 2016-08-22 | 2019-04-02 | 寺田溥 | Sluice |
Non-Patent Citations (2)
| Title |
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| "大坝泄水闸门结构流激振动监测及强烈振动控制技术研究";严根华;《大坝与安全》;20160610;全文 * |
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