A method for calculating dynamic water load of deep water pier under combined action of solitary wave and earthquake

Abstract

The application discloses a kind of deep water pier hydrodynamic load calculation method under the combined action of isolated wave and earthquake.The method comprises the following steps: calculating the horizontal velocity of water particles around the round pier, vertical velocity under the combined action of isolated wave and earthquake and the liquid level difference around the round pier under the combined action of isolated wave and earthquake;Calculate the hydrodynamic pressure under the combined action of isolated wave and earthquake;Calculate the hydrodynamic pressure under the combined action of isolated wave and earthquake;Calculate the hydrodynamic load of deep water pier under the combined action of isolated wave and earthquake.The physical meaning of each part of the calculation result is clear, and the combined action of isolated wave and earthquake is considered comprehensively, so that the calculation result obtained is more in line with the actual hydrodynamic load of deep water pier.

Description

TECHNICAL FIELD

[0001] The present application relates to the field of deep water pier hydrodynamic load calculation, in particular to a deep water pier hydrodynamic load calculation method under the combined action of isolated wave and earthquake. BACKGROUND

[0002] The pier, pile cap and pile foundation of a coastal or cross-sea bridge may be subjected to complex tsunami action and earthquake action. When the tsunami and earthquake act simultaneously, complex combined effects will be produced. It is of great significance and broad application prospect to comprehensively study the load under the combined action of earthquake and tsunami.

[0003] At present, an existing method provides a cylindrical pile wave force calculation method under the action of isolated wave. The method modifies the Morison equation and comprehensively considers the influence of local acceleration and convective acceleration, and can better predict the time evolution of internal isolated wave wave force and further predict the interaction between isolated wave and bridge substructure. However, the existing method has a magnification factor with unclear meaning, which limits the accuracy of the calculation model, and the existing method only considers the action of isolated wave, and the action of isolated wave and earthquake is not a linear superposition of the two, so the method considering isolated wave and earthquake alone cannot be added to obtain the deep water pier hydrodynamic load under the combined action of isolated wave and earthquake, and the influence of the combined action of isolated wave and earthquake on the deep water pier hydrodynamic load needs to be considered comprehensively. SUMMARY

[0004] In view of the above-mentioned deficiencies in the prior art, the present application provides a deep water pier hydrodynamic load calculation method under the combined action of isolated wave and earthquake. Each part of the calculation result has clear physical meaning, and the combined action of isolated wave and earthquake is considered comprehensively, so that the calculation result obtained is more consistent with the actual hydrodynamic load of the deep water pier.

[0005] In order to achieve the above-mentioned application purposes, the technical scheme adopted by the present application is as follows:

[0006] A deep water pier hydrodynamic load calculation method under the combined action of isolated wave and earthquake, comprising the following steps:

[0007] S1, obtaining the horizontal velocity of the earthquake and the wave parameters of the isolated wave, and calculating the horizontal velocity, vertical velocity of the water particles around the circular pier under the combined action of the isolated wave and the earthquake and the water surface difference around the circular pier under the combined action of the isolated wave and the earthquake according to the horizontal velocity of the earthquake and the wave parameters of the isolated wave;

[0008] S2, calculating the hydrodynamic pressure under the combined action of the isolated wave and the earthquake according to the horizontal velocity and the vertical velocity of the water particles around the circular pier under the combined action of the isolated wave and the earthquake in step S1;

[0009] S3, calculating the hydrostatic pressure under the combined action of the solitary wave and the earthquake according to the horizontal velocity of the earthquake in step S1 and the wave parameters of the solitary wave and the water level difference around the circular pier under the combined action of the solitary wave and the earthquake;

[0010] S4, calculating the hydrodynamic load of the deep water pier under the combined action of the solitary wave and the earthquake according to the hydrodynamic pressure under the combined action of the solitary wave and the earthquake in step S2 and the hydrostatic pressure under the combined action of the solitary wave and the earthquake in step S3.

[0011] Further, in step S1, the horizontal velocity of the water particle around the circular pier under the combined action of the solitary wave and the earthquake is calculated and expressed as:

[0012]

[0013] wherein: u a is the horizontal velocity of the water particle around the circular pier under the combined action of the solitary wave and the earthquake, is the average velocity under the action of the solitary wave, h is the initial wave height, and z is the z-axis coordinate. The coordinate system is established at the plane where the circular pier and the free water surface contact. The z-axis direction of the coordinate system is along the water depth direction, the x-axis direction of the coordinate system is the wave propagation direction, and the center of the plane is the origin of the coordinate system, is the average velocity of the water depth The value of the second partial derivative of x is x, and u ec is the earthquake velocity;

[0014] The vertical velocity of the water particle around the circular pier under the combined action of the solitary wave and the earthquake is calculated and expressed as:

[0015]

[0016] wherein: w a is the vertical velocity of the water particle around the circular pier under the combined action of the solitary wave and the earthquake, is the average velocity of the water depth The value of the partial derivative of x is obtained.

[0017] Further, step S2 includes the following steps:

[0018] S21, calculating the horizontal acceleration and the vertical acceleration of the water particle around the circular pier under the combined action of the solitary wave and the earthquake according to the horizontal velocity and the vertical velocity of the water particle around the circular pier under the combined action of the solitary wave and the earthquake in step S1;

[0019] S22, calculating the hydrodynamic pressure under the combined action of the solitary wave and the earthquake according to the horizontal velocity and the vertical velocity of the water particle around the circular pier under the combined action of the solitary wave and the earthquake in step S1 and the horizontal acceleration and the vertical acceleration of the water particle around the circular pier under the combined action of the solitary wave and the earthquake in step S21.

[0020] Further, in step S22, the hydrodynamic pressure under the combined action of the solitary wave and the earthquake is calculated, denoted as:

[0021]

[0022] wherein F1 is the hydrodynamic pressure under the combined action of the solitary wave and the earthquake, p is the density of water, p is the circular constant, D is the diameter of the deep water bridge pier cylindrical pile, H is the initial water depth, is the horizontal acceleration of the water particle around the cylindrical pier under the combined action of the solitary wave and the earthquake, u a is the horizontal velocity of the water particle around the cylindrical pier under the combined action of the solitary wave and the earthquake, t is time, is the horizontal velocity u a is the rate of change in the horizontal direction, x is the x-axis coordinate, a coordinate system is established at the plane where the cylindrical pier and the free surface contact, the z-axis direction of the coordinate system is along the water depth direction, the x-axis direction of the coordinate system is the wave propagation direction, the center of the plane is the origin of the coordinate system, w a is the vertical velocity of the water particle around the cylindrical pier under the combined action of the solitary wave and the earthquake, z is the z-axis coordinate.

[0023] Further, step S3 comprises the following steps:

[0024] S31, according to the water surface difference around the cylindrical pier under the combined action of the solitary wave and the earthquake in step S1, calculating the wave surface shape coefficient;

[0025] S32, calculating the static pressure correction coefficient;

[0026] S33, according to the horizontal velocity of the earthquake in step S1, the wave parameters of the solitary wave, the wave surface shape coefficient in step S31 and the static pressure correction coefficient in step S32, calculating the static water pressure under the combined action of the solitary wave and the earthquake.

[0027] Further, in step S31, the wave surface shape coefficient is calculated, denoted as:

[0028]

[0029] wherein d is the wave surface shape coefficient, e = H / h, H is the initial water depth, h is the initial wave height, sin is the sine function, q is the calculated angle under the combined action of the solitary wave and the earthquake, p is the circular constant, and f is the main frequency of the seismic wave.

[0030] Further, in step S32, the static pressure correction coefficient is calculated, denoted as:

[0031]

[0032] Wherein: z is the static pressure correction coefficient, epsilon = H / h, H is the initial water depth, h is the initial wave height, z is the z-axis coordinate, the coordinate system is established with the plane where the circular pier and the free surface contact, the z-axis direction of the coordinate system is along the water depth direction, the x-axis direction of the coordinate system is the wave propagation direction, the center of the plane is the coordinate system origin, and f is the main frequency of the seismic wave.

[0033] Further, in step S33, the hydrostatic pressure under the combined action of the solitary wave and the earthquake is calculated, which is represented as:

[0034]

[0035] Wherein: F2 is the hydrostatic pressure under the combined action of the solitary wave and the earthquake, pi is the circular constant, H is the initial water depth, z is the static pressure correction coefficient, rho is the density of water, g is the gravitational acceleration, delta is the wave surface shape coefficient, r is the radius of the deep water bridge pier cylinder pile, cos is the cosine function, theta is the calculated angle under the combined action of the solitary wave and the earthquake, and z is the z-axis coordinate.

[0036] Further, in step S4, according to the hydrodynamic pressure under the combined action of the solitary wave and the earthquake in step S2 and the hydrostatic pressure under the combined action of the solitary wave and the earthquake in step S3, the hydrodynamic load of the deep water bridge pier under the combined action of the solitary wave and the earthquake is calculated, specifically: the hydrodynamic pressure under the combined action of the solitary wave and the earthquake is added to the hydrostatic pressure under the combined action of the solitary wave and the earthquake to calculate the hydrodynamic load of the deep water bridge pier under the combined action of the solitary wave and the earthquake.

[0037] The present application has the following beneficial effects:

[0038] (1) The present application does not use the amplification coefficient, decomposes the force of the solitary wave acting on the cylinder, respectively calculates the flow force, the inertial force and the static pressure, and each part of the calculation result has clear physical meaning.

[0039] (2) The present application considers the wave force of the solitary wave acting on the cylinder, and comprehensively considers the seismic effect, so that the calculation method proposed in the present application can calculate the combined action force of the solitary wave and the earthquake, and further makes the calculation result more in line with the actual hydrodynamic load of the deep water bridge pier. DETAILED DESCRIPTION

[0040] Figure 1 It is a flow chart of a deep water bridge pier hydrodynamic load calculation method under the combined action of a solitary wave and an earthquake. DETAILED DESCRIPTION

[0041] The specific embodiments of the present application are described below to facilitate the understanding of the present application for those skilled in the art, but it should be clear that the present application is not limited to the scope of the specific embodiments, and for those skilled in the art, it is obvious that various changes are within the spirit and scope of the present application defined and determined by the appended claims, and all the inventions utilizing the concept of the present application are within the scope of protection.

[0042] As Figure 1 shown, a method for calculating the hydrodynamic load of a deep water pier under the combined action of a solitary wave and an earthquake, comprising steps S1-S4, specifically as follows:

[0043] S1, obtaining the horizontal velocity of the earthquake and the wave parameters of the solitary wave, and calculating the horizontal velocity of the water particles around the circular pier, the vertical velocity and the liquid surface difference around the circular pier under the combined action of the solitary wave and the earthquake according to the horizontal velocity of the earthquake and the wave parameters of the solitary wave.

[0044] In an optional embodiment of the present application, the horizontal velocity of the earthquake and the wave parameters of the solitary wave in the present application are directly obtained.

[0045] The present application calculates the horizontal velocity of the water particles around the circular pier under the combined action of the solitary wave and the earthquake, which is expressed as:

[0046]

[0047] Wherein: u a is the horizontal velocity of the water particles around the circular pier under the combined action of the solitary wave and the earthquake, is the average velocity under the action of the solitary wave, h is the initial wave height, z is the z-axis coordinate, a coordinate system is established at the plane where the circular pier and the free surface contact, the z-axis direction of the coordinate system is along the water depth direction, the x-axis direction of the coordinate system is the wave propagation direction, and the center of the plane is the origin of the coordinate system, is the average velocity of the water depth The value of the second partial derivative of x is x, and u ec is the earthquake velocity.

[0048] The present application calculates the average velocity of the water depth under the action of the solitary wave, which is expressed as:

[0049]

[0050] Wherein: is the average velocity of the water depth under the action of the solitary wave, g is the acceleration of gravity, h is the initial wave height, η is the solitary wave liquid surface height, and η xx is the value of the second partial derivative of the solitary wave liquid surface height η with respect to x.

[0051] The present application calculates the solitary wave liquid level height, which is expressed as:

[0052]

[0053] wherein: η is the solitary wave liquid level height, H is the initial water depth, sech is the hyperbolic function, ε=H / h, H is the initial water depth, h is the initial wave height, c is the propagation speed of the solitary wave, t is the time, and h is the initial wave height.

[0054] The present application calculates the propagation speed of the solitary wave, which is expressed as:

[0055]

[0056] wherein: c is the propagation speed of the solitary wave.

[0057] The present application calculates the vertical speed of the water particles around the circular pier under the combined action of the solitary wave and the earthquake, which is expressed as:

[0058]

[0059] wherein: w a is the vertical speed of the water particles around the circular pier under the combined action of the solitary wave and the earthquake, is the average speed of the water depth is the value of the partial derivative of x.

[0060] S2, according to the horizontal speed and the vertical speed of the water particles around the circular pier under the combined action of the solitary wave and the earthquake in step S1, the hydrodynamic pressure under the combined action of the solitary wave and the earthquake is calculated.

[0061] In an optional embodiment of the present application, the present application calculates the horizontal acceleration and the vertical acceleration of the water particles around the circular pier under the combined action of the solitary wave and the earthquake according to the horizontal speed and the vertical speed of the water particles around the circular pier under the combined action of the solitary wave and the earthquake, and then calculates the hydrodynamic pressure under the combined action of the solitary wave and the earthquake according to the horizontal speed and the vertical speed of the water particles around the circular pier under the combined action of the solitary wave and the earthquake, and the horizontal acceleration and the vertical acceleration of the water particles around the circular pier under the combined action of the solitary wave and the earthquake.

[0062] Step S2 includes the following steps:

[0063] S21, according to the horizontal speed and the vertical speed of the water particles around the circular pier under the combined action of the solitary wave and the earthquake in step S1, the horizontal acceleration and the vertical acceleration of the water particles around the circular pier under the combined action of the solitary wave and the earthquake are calculated.

[0064] S22, calculating the hydrodynamic pressure under the combined action of the solitary wave and the earthquake according to the horizontal velocity and the vertical velocity of the water particles around the round pier under the combined action of the solitary wave and the earthquake in step S1, and the horizontal acceleration and the vertical acceleration of the water particles around the round pier under the combined action of the solitary wave and the earthquake in step S21.

[0065] The hydrodynamic pressure under the combined action of the solitary wave and the earthquake is calculated in the application, and is expressed as:

[0066]

[0067] Wherein, F1 is the hydrodynamic pressure under the combined action of the solitary wave and the earthquake, ρ is the density of water, π is the circular constant, D is the diameter of the deep-water bridge pier cylinder pile, H is the initial water depth, is the horizontal acceleration of the water particles around the round pier under the combined action of the solitary wave and the earthquake, u a is the horizontal velocity of the water particles around the round pier under the combined action of the solitary wave and the earthquake, t is time, is the horizontal velocity u a is the change rate in the horizontal direction, x is the x-axis coordinate, the coordinate system is established on the plane where the round pier and the free water surface contact, the z-axis direction of the coordinate system is along the water depth direction, the x-axis direction of the coordinate system is the wave propagation direction, the center of the plane is the coordinate system origin, w a is the vertical velocity of the water particles around the round pier under the combined action of the solitary wave and the earthquake, z is the z-axis coordinate.

[0068] S3, calculating the hydrostatic pressure under the combined action of the solitary wave and the earthquake according to the horizontal velocity of the earthquake in step S1, and the wave parameters of the solitary wave and the water surface difference around the round pier under the combined action of the solitary wave and the earthquake.

[0069] In an optional embodiment of the application, the water surface difference around the round pier under the combined action of the solitary wave and the earthquake is used to calculate the wave surface shape coefficient, then the static pressure correction coefficient is calculated, and finally the hydrostatic pressure under the combined action of the solitary wave and the earthquake is calculated according to the horizontal velocity of the earthquake, the wave parameters of the solitary wave, the wave surface shape coefficient and the static pressure correction coefficient.

[0070] Step S3 includes the following steps:

[0071] S31, calculating the wave surface shape coefficient according to the water surface difference around the round pier under the combined action of the solitary wave and the earthquake in step S1, and is expressed as:

[0072]

[0073] Wherein, δ is the wave surface shape coefficient, ε = H / h, H is the initial water depth, h is the initial wave height, sin is the sine function, θ is the calculated angle under the combined action of the solitary wave and the earthquake, π is the circular constant, and f is the main frequency of the seismic wave.

[0074] S32, a static pressure correction coefficient is calculated, which is represented as:

[0075]

[0076] wherein ζ is the static pressure correction coefficient, ε = H / h, H is the initial water depth, h is the initial wave height, z is the z-axis coordinate, a coordinate system is established with a plane where the circular pier and the free surface contact, the z-axis direction of the coordinate system is along the water depth direction, the x-axis direction of the coordinate system is the wave propagation direction, the center of the plane is the coordinate system origin, and f is the main frequency of the seismic wave.

[0077] S33, according to the horizontal velocity of the earthquake in step S1, the wave parameters of the solitary wave, the wave surface shape coefficient in step S31, and the static pressure correction coefficient in step S32, the static water pressure under the combined action of the solitary wave and the earthquake is calculated, which is represented as:

[0078]

[0079] wherein F2 is the static water pressure under the combined action of the solitary wave and the earthquake, π is the circular constant, H is the initial water depth, ζ is the static pressure correction coefficient, ρ is the water density, g is the gravitational acceleration, δ is the wave surface shape coefficient, r is the radius of the deep water bridge pier cylindrical pile, cos is the cosine function, θ is the calculated angle under the combined action of the solitary wave and the earthquake, and z is the z-axis coordinate, a coordinate system is established with a plane where the circular pier and the free surface contact, the z-axis direction of the coordinate system is along the water depth direction, the x-axis direction of the coordinate system is the wave propagation direction, and the center of the plane is the coordinate system origin.

[0080] S4, according to the dynamic water pressure under the combined action of the solitary wave and the earthquake in step S2 and the static water pressure under the combined action of the solitary wave and the earthquake in step S3, the dynamic water load of the deep water bridge pier under the combined action of the solitary wave and the earthquake is calculated.

[0081] In an optional embodiment of the present application, the dynamic water load of the deep water bridge pier under the combined action of the solitary wave and the earthquake is calculated according to the dynamic water pressure under the combined action of the solitary wave and the earthquake in step S2 and the static water pressure under the combined action of the solitary wave and the earthquake in step S3, specifically, the dynamic water pressure under the combined action of the solitary wave and the earthquake is added to the static water pressure under the combined action of the solitary wave and the earthquake to calculate the dynamic water load of the deep water bridge pier under the combined action of the solitary wave and the earthquake.

[0082] The present application is described in reference to the flowchart and / or block diagram of the method, device (system) and computer program product according to the embodiments of the present application. It should be understood that each flow and / or block in the flowchart and / or block diagram, and the combination of flows and / or blocks in the flowchart and / or block diagram can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, a special-purpose computer, an embedded processor, or other programmable data processing device to produce a machine, so that the instructions executed by the processor of the computer or other programmable data processing device generate a device that implements the flow Figure 1 one or more flows and / or blocks Figure 1 one or more blocks that specify the function(s) to be implemented by the device.

[0083] These computer program instructions can also be stored in a computer readable memory that can direct the computer or other programmable data processing device to work in a specific manner, so that the instructions stored in the computer readable memory produce a manufactured product including instruction devices that implement the flow Figure 1 one or more flows and / or blocks Figure 1 one or more blocks that specify the function(s) to be implemented by the device.

[0084] These computer program instructions can also be loaded into a computer or other programmable data processing device, so that a series of operation steps are performed on the computer or other programmable device to produce a computer implemented process, so that the instructions executed on the computer or other programmable device provide steps for implementing the flow Figure 1 one or more flows and / or blocks Figure 1 one or more blocks that specify the function(s) to be implemented by the device.

[0085] The principles and implementation manners of the present application are described in the specific embodiments, and the above embodiment descriptions are only used to help understand the method of the present application and its core idea; at the same time, for those skilled in the art, according to the idea of the present application, the specific implementation manners and application ranges will be changed, and the above description should not be understood as limiting the present application.

[0086] Those skilled in the art will realize that the embodiments described herein are for the purpose of helping the reader understand the principles of the present application, and should be understood as not limiting the scope of protection of the present application to such specific statements and embodiments. Those skilled in the art can make various other specific modifications and combinations according to the technical inspiration disclosed in the present application without departing from the essence of the present application, and these modifications and combinations are still within the scope of protection of the present application.

Claims

1. A method for calculating the hydrodynamic load of a deep-water pier under the combined action of a solitary wave and an earthquake, characterized in that, The method comprises the following steps: S1, obtaining the horizontal velocity of the earthquake and the wave parameters of the solitary wave, and calculating the horizontal velocity and vertical velocity of the water particles around the circular pier under the combined action of the solitary wave and the earthquake according to the horizontal velocity of the earthquake and the wave parameters of the solitary wave, and the water level difference around the circular pier under the combined action of the solitary wave and the earthquake; S2, calculating the dynamic water pressure under the combined action of the solitary wave and the earthquake according to the horizontal velocity and vertical velocity of the water particles around the circular pier under the combined action of the solitary wave and the earthquake in step S1; S3, calculating the static water pressure under the combined action of the solitary wave and the earthquake according to the horizontal velocity of the earthquake and the wave parameters of the solitary wave in step S1 and the water level difference around the circular pier under the combined action of the solitary wave and the earthquake; S4, calculating the dynamic water load of the deep water pier under the combined action of the solitary wave and the earthquake according to the dynamic water pressure under the combined action of the solitary wave and the earthquake in step S2 and the static water pressure under the combined action of the solitary wave and the earthquake in step S3. In step S1, the horizontal velocity of the water particles around the circular pier under the combined action of the solitary wave and the earthquake is calculated and expressed as: wherein: is the horizontal velocity of water particles around the circular pier under the combined action of solitary wave and earthquake, is the average velocity under the action of solitary wave, is the initial wave height, is is the axis coordinate, the coordinate system is established with the plane where the circular pier and the free surface contact, the axis direction of the coordinate system is along the water depth direction, the axis direction of the coordinate system is the wave propagation direction, the center of the plane is the coordinate system origin, is the average velocity of water depth is the average velocity of water depth is the value of twice partial derivative, is the average velocity of water depth is the axis coordinate, is the earthquake velocity; The vertical velocity of the water particles around the circular pier under the combined action of the solitary wave and the earthquake is calculated and expressed as: where: is the vertical velocity of water particles around the circular pier under the combined action of solitary wave and earthquake, is the average velocity of water depth to the value of the partial derivative.

2. The method according to claim 1, wherein, Step S2 comprises the following steps: S21, calculating the horizontal acceleration and vertical acceleration of the water particles around the circular pier under the combined action of the solitary wave and the earthquake according to the horizontal velocity and vertical velocity of the water particles around the circular pier under the combined action of the solitary wave and the earthquake in step S1; S22, calculating the dynamic water pressure under the combined action of the solitary wave and the earthquake according to the horizontal velocity and vertical velocity of the water particles around the circular pier under the combined action of the solitary wave and the earthquake in step S1, the horizontal acceleration and vertical acceleration of the water particles around the circular pier under the combined action of the solitary wave and the earthquake in step S21.

3. The method according to claim 2, wherein, In step S22, the dynamic water pressure under the combined action of the solitary wave and the earthquake is calculated and expressed as: wherein: is the hydrodynamic pressure under the combined action of solitary wave and earthquake, is the density of water, is the circular constant, is the diameter of the cylindrical pile of the deep-water bridge pier, is the initial water depth, is the horizontal acceleration of water particles around the circular pier under the combined action of solitary wave and earthquake, is the horizontal velocity of water particles around the circular pier under the combined action of solitary wave and earthquake, is time, is the horizontal velocity is the rate of change in the horizontal direction.

4. The method according to claim 1, wherein, Step S3 comprises the following steps: S31, calculating the wave surface shape coefficient according to the water level difference around the circular pier under the combined action of the solitary wave and the earthquake in step S1; S32, calculating the static pressure correction coefficient; S33, calculating the static water pressure under the combined action of the solitary wave and the earthquake according to the horizontal velocity of the earthquake and the wave parameters of the solitary wave in step S1, the wave surface shape coefficient in step S31 and the static pressure correction coefficient in step S32.

5. The method according to claim 4, wherein, In step S31, the wave surface shape coefficient is calculated and expressed as: wherein: is the wave face shape coefficient, , is the initial water depth, is the sine function, is the calculated angle under the combined action of the solitary wave and the earthquake, is the circular constant, is the main frequency of the seismic wave.

6. The method according to claim 4, wherein, In step S32, the static pressure correction coefficient is calculated and expressed as: wherein: is a static pressure correction coefficient, , is an initial water depth, is a seismic wave dominant frequency.

7. The method according to claim 4, wherein, In step S33, the static water pressure under the combined action of the solitary wave and the earthquake is calculated and expressed as: wherein: is the hydrostatic pressure under the combined action of the solitary wave and the earthquake, is the ratio of the circumference of a circle to its diameter, is the initial water depth, is the static pressure correction coefficient, is the density of water, is the acceleration of gravity, is the wave surface shape coefficient, is the radius of the cylindrical pile of the deep-water pier, is the cosine function, is the calculated angle under the combined action of the solitary wave and the earthquake.

8. The method according to claim 1, wherein, In step S4, the dynamic water load of the deep water pier under the combined action of the solitary wave and the earthquake is calculated according to the dynamic water pressure under the combined action of the solitary wave and the earthquake in step S2 and the static water pressure under the combined action of the solitary wave and the earthquake in step S3, specifically, the dynamic water load of the deep water pier under the combined action of the solitary wave and the earthquake is calculated by adding the dynamic water pressure under the combined action of the solitary wave and the earthquake and the static water pressure under the combined action of the solitary wave and the earthquake.

Images