CN-122021406-A - Hydraulic ship lift vertical shaft earthquake dynamic water load calculation model and construction method

CN122021406ACN 122021406 ACN122021406 ACN 122021406ACN-122021406-A

Abstract

The invention belongs to the technical field of hydraulic ship lifts, and relates to a hydraulic ship lift vertical shaft earthquake dynamic water load calculation model and a construction method, wherein the model is a combined simplified model considering the coupling effect of a water body and a counterweight, and the water body and the counterweight system are divided into an upper section and a lower section so as to describe the coupling power effect of the water body-counterweight-vertical shaft under the vibration working condition of the hydraulic ship lift; the method comprises the steps of describing dynamic response characteristics of water body-counterweight coupling sloshing by adopting a horizontal double Housner model at the upper section, regarding the rest water body as independent additional mass at the lower section, and equivalent the additional inertial effect of the water body as adding a virtual additional mass on the basis of the original mass of the vertical shaft when the vertical shaft is shocked.

Inventors

YE ZIHAO
HE SIYUAN
HE LIANGDE

Assignees

河海大学

Dates

Publication Date: 20260512
Application Date: 20251231

Claims (8)

1. A hydraulic ship lift vertical shaft earthquake dynamic water load calculation model is characterized in that the model is a combined simplified model considering the coupling effect of a vertical shaft water body and a counterweight, the water body and the counterweight system are divided into an upper section and a lower section so as to describe the sloshing effect of the water body and the counterweight of the hydraulic ship lift under the earthquake working condition, wherein: The upper section adopts a horizontal double Housner model to describe the dynamic response characteristic of water body sloshing, and the condition is that the slit water body around the counterweight section of the vertical shaft of the hydraulic ship lift is short relative to the whole vertical shaft, the water body is assumed to be an ideal fluid which is non-viscous, non-rotating and incompressible, the water body and the counterweight only generate small-amplitude relative motion under the external excitation action, the water body of the counterweight section has small convection in the slit, and the water body in the slits at the two sides does not exchange when the counterweight section is shocked; the lower section treats the remaining body of water as an independent additional mass.
2. The hydraulic ship lift vertical shaft seismic dynamic water load calculation model is characterized in that the horizontal double Housner model is characterized in that slit water bodies at the upper section of a vertical shaft are divided and unfolded into two cuboid water bodies in a normal plane along the vibration receiving direction, the sections of the two cuboid water bodies are two rectangular water bodies, the balance weight is regarded as a steel bar without considering deformation of the balance weight, the rectangular water bodies at the two sides are expressed by a Housner mass spring system, one side of the rectangular water body is hinged with the steel bar, the other side of the rectangular water body is hinged with the vertical shaft, the mass of the steel bar is identical to the total mass of the balance weight, and the gravity center position of the rectangular water body is identical.
3. The hydraulic ship lift vertical shaft earthquake dynamic water load calculation model of claim 2, wherein the horizontal double Housner model is characterized in that a single-side liquid system is equivalent to fixed mass and a series of spring vibrators by a comparison method, a height starting point is the bottom of a counterweight, and the analysis width is 2a; in consideration of horizontal moving acceleration of rectangular rigid container Under the action of the above, the equation of motion of the stationary liquid in the rectangular rigid container and the small-amplitude sloshing liquid is generalized as formula (1): (1) Wherein the hydraulic pressure is The method comprises the following steps: (2) For the original liquid system, the acceleration is moved horizontally Under the action, the hydrodynamic horizontal counterforce and moment of the liquid acting on the rectangular rigid container are respectively written as follows: (3) (4) equivalent of liquid system to a fixed mass according to a comparison method And a series of spring fluid reversals According to structural dynamics theory, acceleration is moved horizontally Under the action, the quality is fixed And a series of spring vibrators respectively write the horizontal counter force and counter moment on the rectangular rigid container as follows: (5) (6) According to the principle of comparison, the reaction force and the counter moment of the actual liquid and the equivalent system thereof to the rectangular rigid container are equal, so the following relationship exists: (7) (8) First, formula (2) is substituted into formula (3), formula (4) can obtain the expressions of horizontal force and moment respectively, then they are substituted into formula (7) and formula (8) respectively, formula (6) is substituted into formula (7) and formula (8), and it is noted that two time function terms exist on both sides of formulas (7) and (8) And The coefficients of the time function items on both sides of the equation should be equal, and by comparing the coefficients of the time function on both sides, each parameter of the equivalent system is calculated as follows: (9); (10); (11); (12); (13); ; wherein: Is the total mass of the liquid per unit thickness, Is of fixed mass Is provided with a plurality of positioning heights, For the position height of the nth spring vibrator, Is spring rate.
4. The hydraulic ship lift shaft earthquake dynamic water load calculation model according to claim 3, wherein the steel bar mass calculation process is as follows: the mass and the rotational inertia of the steel bar satisfy the following conditions: (14) (15) (16) (17) wherein: the gravity center of the steel bar is consistent with the gravity center of the balancing weight; 、、 the moment of inertia of three axes of the balance rewinding coordinate system are respectively; is the total weight of the balancing weight; balance weight acceleration; Coefficient of friction of the system; The safety coefficient is generally more than 2.0; Taking 2 as a coefficient when the movable pulley is reset by balancing, and taking 1 when the movable pulley is not set by balancing; Maximum lift mass of the ship compartment: (18); Wherein: Net weight of the ship compartment; standard water weight of the ship compartment; Allowing the overload water to weigh; The weight of the steel wire rope; a ship carriage travel, wherein the ship carriage moves upwards to get positive, and moves downwards to get negative; it is assumed that when the counterweight is in vibration, only small movement is performed relative to the vertical shaft and the mass center does not deviate greatly in the vertical direction, so that a final combined simplified model is formed, wherein a water body equivalent mass spring moving together with the vertical shaft is in a hinged relation with a steel rod, and only horizontal force is transmitted.
5. The seismic dynamic water load calculation model of a hydraulic ship lift shaft is characterized in that the independent additional mass model describes the process of dynamic response characteristics of the water body under the hydraulic ship lift counterweight, the additional inertial effect of the water body received by the shaft when the shaft is shocked is equivalent to the addition of a virtual additional mass on the basis of the original mass of the shaft, and the dynamic problem of the water body-shaft coupling is simplified into the dynamic problem only considering the shaft.
6. The hydraulic ship lift shaft seismic dynamic water load calculation model of claim 5, wherein in the independent additional mass, the water depth starting point is the shaft bottom, and the equivalent mass of water body sloshing is calculated by the following formula: (19) (20) wherein: Is of relatively equivalent mass; is equivalent mass; Is the depth of water; Is the diameter of the vertical shaft; Is the quality of still water body.
7. A construction method of a hydraulic ship lift vertical shaft seismic dynamic water load calculation model is characterized by comprising the following steps: S1, cutting a shaft of a hydraulic ship lift into an upper section and a lower section along the bottom of a balancing weight, wherein the upper section comprises slit water and the balancing weight, and the lower section is the residual water of the shaft; S2, describing vibration force response characteristics of the balancing weight and the slit water body by adopting a horizontal double Housner model; S3, regarding the residual water body of the vertical shaft as independent additional mass, and equivalently adding a virtual independent additional mass on the basis of the original mass of the vertical shaft to the additional inertial effect of the water body of the vertical shaft when the vertical shaft is subjected to earthquake so as to form a lower section model; S4, combining the horizontal double Housner model and the lower section model to form a combined simplified model of equivalent shaft water body and counterweight coupling action, namely a hydraulic ship lift shaft earthquake dynamic water load calculation model.
8. A calculation method of a hydraulic ship lift shaft seismic dynamic water load is characterized in that the calculation model of any one of claims 1-6 constructed by adopting the construction method of claim 7 is characterized in that shaft geometric parameters, water physical parameters, counterweight parameters and seismic excitation parameters are taken as inputs, and a shearing force and moment action result generated by coupling of a seismic water body and a counterweight at the bottom of a shaft is obtained through solving.

Description

Hydraulic ship lift vertical shaft earthquake dynamic water load calculation model and construction method Technical Field The invention belongs to the technical field of hydraulic ship lifts, and relates to a hydraulic ship lift vertical shaft earthquake dynamic water load calculation model and a construction method. Background In the running process of the hydraulic ship lift, the existence of the balance weight in the vertical shaft has obvious influence on the dynamic characteristics of the water body in the well. First, the counterweight causes a change in the mass distribution of the water in the well, thereby changing the boundary conditions of the water and its dynamic response characteristics. The fluid-solid coupling numerical simulation result shows that the lateral impact effect of the balancing weight has obvious influence on the load distribution between the water body and the vertical shaft wall, and the influence is not only reflected on the amplitude of the load, but also reflected on the distribution form and dynamic characteristics of the load. When the dynamic analysis of the shaft-counterweight-water system is carried out, the dynamic coupling effect of the counterweight and the water and the dynamic influence of the counterweight on the shaft structure are required to be considered. When the structural analysis of the large hydraulic ship lift is carried out, the dynamic flow-solid coupling effect between the vertical shaft, the water body and the counterweight makes the theoretical analysis method extremely complex, and the calculation efficiency is lower. For example, the numerical analysis process not only consumes a lot of time, but also places high demands on the specialized abilities of the designer. Compared with the situation that the fine model possibly causes analysis difficulty due to overlarge calculation scale, the simplified dynamic water pressure calculation model based on analytic solution development is widely adopted in engineering practical application by virtue of lower calculation requirement and higher efficiency advantage. At present, an additional mass method or Housner model is generally adopted for flow-solid coupling analysis of liquid storage structures such as aqueducts, water towers and storage tanks so as to simplify the dynamic effect of water bodies, but the models are only suitable for water containers without floaters, and the dynamic interaction between a counterweight in a vertical shaft and the water bodies is difficult to simulate. Therefore, based on the additional mass theory, by reasonably simplifying the hydrodynamic relation between the water body and the counterweight, a water body equivalent model suitable for the working condition of the shaft with the counterweight is provided, and a more accurate and efficient theoretical method is provided for the power analysis and design of the hydraulic ship lift. The sloshing of the water body and the counterweight affects the seismic response of the tower column mainly through two mechanisms, namely bottom shearing force and overturning moment. Firstly, under the action of an earthquake, the sloshing force of the water body is transmitted to the tower column through the vertical shaft, so that the bottom shearing force is formed, and the sliding stability of the tower column is directly affected. And secondly, the sloshing of the water body and the movement of the balance weight act together to generate a overturning moment, wherein the moment is a key acting force for anti-overturning checking of the tower column of the hydraulic ship lift, and meanwhile, the integral movement characteristic of the supporting structure is obviously influenced. Therefore, in the simplified calculation, the equivalent processing is mainly carried out on two core parameters, namely bottom shearing force and overturning moment, so as to efficiently evaluate the dynamic response of the tower column under the action of earthquake and the structural safety of the tower column. Disclosure of Invention The invention aims to overcome the defects in the prior art and provides a hydraulic ship lift shaft earthquake dynamic water load calculation model and a construction method. In order to achieve the purpose of the invention, the following technical scheme is adopted for implementation. A hydraulic ship lift vertical shaft earthquake dynamic water load calculation model is a combined simplified model considering the coupling effect of a vertical shaft water body and a counterweight, and divides the water body and the counterweight system into an upper section and a lower section so as to describe the shaking effect of the water body and the counterweight of the hydraulic ship lift earthquake working condition, wherein: The upper section adopts a horizontal double Housner model to describe the dynamic response characteristic of water body sloshing, and the condition is that the slit water body around the counterweight section