Method and device for determining the friction resistance of a friction support

Abstract

The application discloses a kind of friction support friction resistance determination method and determination device, it is related to structure boundary nonlinear analysis technical field, the method includes: obtaining support maximum friction resistance and support sliding speed in set time period;Based on support maximum friction resistance, according to the relationship between friction support friction resistance and support sliding speed, establish the iteration model of friction support friction resistance that friction support friction resistance changes with support sliding speed;Based on the iteration model of friction support friction resistance, according to the change of support sliding speed in set time period, obtain the friction support friction resistance in set time period.Solved in the prior art, using WEN unit to establish first-order rigid ordinary differential equation to carry out numerical calculation, there is the problem that large calculation workload needs to be carried out step by step integration, when integration step is large, the fluctuation of friction resistance calculation result is big.

Description

TECHNICAL FIELD

[0001] The present application relates to the technical field of structural boundary nonlinear analysis, and particularly relates to a method and device for determining frictional resistance of a frictional support. BACKGROUND

[0002] Supports are widely used in structures such as bridges and buildings, and have the functions of force transmission and energy dissipation. Common support types include plate rubber supports, spherical supports, and friction pendulum vibration isolation supports. The above support types will generate frictional resistance when moving horizontally, and the frictional resistance has an impact on the response of the structure, especially under dynamic loads. Therefore, accurate calculation of the frictional resistance is crucial for determining the response of the structure.

[0003] In the prior art, a first-order rigid ordinary differential equation is established using a WEN unit for numerical calculation, and there are problems such as the need for step-by-step integration, large calculation workload, and large fluctuation in the calculation results of the frictional resistance when the integration step size is large. SUMMARY

[0004] In view of the defects in the prior art, the present application provides a method and device for determining frictional resistance of a frictional support, which can solve the problems of the prior art, such as the need for step-by-step integration, large calculation workload, and large fluctuation in the calculation results of the frictional resistance when the integration step size is large, by establishing a first-order rigid ordinary differential equation using a WEN unit for numerical calculation.

[0005] To achieve the above object, the technical solution adopted by the present application is as follows:

[0006] On the one hand, the present application provides a method for determining frictional resistance of a frictional support, comprising:

[0007] obtaining the maximum frictional resistance of the support and the sliding speed of the support within a set time period;

[0008] based on the maximum frictional resistance of the support, establishing an iterative model of the frictional resistance of the frictional support varying with the sliding speed of the support according to the relationship between the frictional resistance of the frictional support and the sliding speed of the support;

[0009] based on the iterative model of the frictional resistance of the frictional support, obtaining the frictional resistance of the frictional support within the set time period according to the change in the sliding speed of the support within the set time period.

[0010] In some optional solutions, the method for obtaining the frictional resistance of the frictional support within the set time period according to the change in the sliding speed of the support within the set time period based on the iterative model of the frictional resistance of the frictional support comprises:

[0011] determining the frictional resistance threshold value at the next time point according to the frictional resistance threshold value at the current time point, the sliding speed coefficient of the support, and the sliding speed of the support at the next time point;

[0012] determining the friction resistance threshold value of the next moment according to the friction resistance threshold value of the next moment and the maximum friction resistance of the support;

[0013] repeating the above steps until the friction resistance of the support in the set time period is obtained.

[0014] In some optional schemes, the friction resistance threshold value of the next moment is determined according to the formula: z t+1 = z t + k·v t+1 · Δt.

[0015] Wherein, z t+1 is the friction resistance threshold value of the next moment, z t is the friction resistance threshold value of the current moment, k is the sliding speed coefficient of the support, v t+1 is the sliding speed of the support of the next moment, and Δt is the time interval between the next moment and the current moment.

[0016] In some optional schemes, the sliding speed of the support in the set time period is determined according to the formula: v = sin 2πt.

[0017] Wherein, v is the sliding speed of the support, and t is the time.

[0018] In some optional schemes, the time interval between the next moment and the current moment is 0.01s.

[0019] In some optional schemes, the determination of the friction resistance of the support of the next moment according to the friction resistance threshold value of the next moment and the maximum friction resistance of the support comprises:

[0020] When the absolute value of the friction resistance threshold value of the next moment is greater than or equal to 1, the size of the friction resistance of the support of the next moment is equal to the maximum friction resistance of the support, and the sign of the friction resistance of the support of the next moment is the same as that of the friction resistance threshold value of the next moment.

[0021] When the absolute value of the friction resistance threshold value of the next moment is less than 1, the friction resistance of the support of the next moment is equal to the product of the maximum friction resistance of the support and the friction resistance threshold value of the next moment.

[0022] In some optional schemes, the friction resistance of the support of the next moment when the absolute value of the friction resistance threshold value of the next moment is greater than or equal to 1 is determined according to the formula: F t+1 = f y · sign(z t+1 ).

[0023] Wherein, F t+1 is the friction resistance of the support of the next moment, and f y is the maximum friction resistance of the support.

[0024] In some alternatives, the next time bearing friction is determined according to the formula: F t+1 = f y ·z t+1 , when the absolute value of the next time friction threshold determination value is less than 1.

[0025] Wherein, F t+1 is the next time bearing friction, f y is the maximum bearing friction.

[0026] In some alternatives, the maximum bearing friction is determined according to the bearing friction test data.

[0027] In another aspect, the present application provides a bearing friction determination device, comprising:

[0028] A parameter acquisition module for acquiring the maximum bearing friction and the bearing sliding speed in a set time period;

[0029] A model establishment module for establishing a bearing friction iterative model of the bearing friction changing with the bearing sliding speed based on the maximum bearing friction and the relationship between the bearing friction and the bearing sliding speed;

[0030] A friction determination module for acquiring the bearing friction in the set time period based on the bearing friction iterative model and the change of the bearing sliding speed in the set time period.

[0031] Compared with the prior art, the present application has the following advantages: the maximum bearing friction and the bearing sliding speed in a set time period are acquired; the bearing friction iterative model of the bearing friction changing with the bearing sliding speed is established based on the maximum bearing friction and the relationship between the bearing friction and the bearing sliding speed; and the bearing friction in the set time period is acquired based on the bearing friction iterative model and the change of the bearing sliding speed in the set time period. The problems of the prior art, such as the need for step-by-step integration, large calculation workload, and large fluctuation of the bearing friction calculation result when the integration step is large, are solved. BRIEF DESCRIPTION OF DRAWINGS

[0032] In order to more clearly illustrate the technical solutions in the embodiments of the present application, the following will briefly introduce the drawings needed in the embodiment description. Obviously, the drawings in the following description are only some embodiments of the present application, and other drawings can be obtained by those skilled in the art without creative labor.

[0033] Figure 1A flowchart of a method for determining the friction resistance of a friction support in an embodiment of the present application is shown in the figure.

[0034] Figure 2 A schematic diagram of an iterative model for the friction resistance of a friction support in an embodiment of the present application is shown in the figure.

[0035] Figure 3 A schematic diagram of a comparison between the friction resistance determined according to the scheme and the friction resistance obtained from the WEN unit model in an embodiment of the present application is shown in the figure.

[0036] In the figure: 1, first node; 2, second node; 3, support sliding speed coefficient; 4, friction resistance threshold value determination. DETAILED DESCRIPTION

[0037] To make the objectives, technical solutions, and advantages of the embodiments of the present application clearer, the technical solutions in the embodiments of the present application will be described below in connection with the drawings of the embodiments of the present application. Obviously, the described embodiments are only a part of the embodiments of the present application, rather than all the embodiments of the present application. Based on the embodiments in the present application, all other embodiments obtained by those of ordinary skill in the art without creative work fall within the scope of protection of the present application.

[0038] The embodiments of the present application will be further described in detail below in connection with the drawings.

[0039] As shown in the figure, the present application provides a method for determining the friction resistance of a friction support, comprising: Figure 1

[0040] S1: obtaining the maximum friction resistance of the support and the support sliding speed in a set time period.

[0041] S2: based on the maximum friction resistance of the support, establishing an iterative model for the friction resistance of the friction support according to the relationship between the friction resistance of the friction support and the support sliding speed, so as to reflect the change of the friction resistance of the friction support with the support sliding speed.

[0042] S3: based on the iterative model for the friction resistance of the friction support, obtaining the friction resistance of the friction support in the set time period according to the change of the support sliding speed in the set time period.

[0043] In some optional embodiments, the method for obtaining the friction resistance of the friction support in the set time period according to the change of the support sliding speed in the set time period based on the iterative model for the friction resistance of the friction support comprises:

[0044] determining the friction resistance threshold value determination value at the next moment according to the friction resistance threshold value determination value at the current moment, the support sliding speed coefficient, and the support sliding speed at the next moment;

[0045] determining the support friction resistance at the next moment according to the friction resistance threshold value determination value at the next moment and the maximum friction resistance of the support.​

[0046] The above steps are repeated until the friction resistance of the friction support in a set time period is obtained.

[0047] In some optional embodiments, the support sliding speed v in the set time period is determined according to the formula: v = sin 2πt. t+1 = z t + k·v t+1 ·Δt, wherein z t+1 is the friction resistance threshold determination value at the next time, z t is the friction resistance threshold determination value at the current time, k is a support sliding speed coefficient, v t+1 is the support sliding speed at the next time, and Δt is the time interval between the next time and the current time.

[0048] wherein z t+1 is the friction resistance threshold determination value at the next time, z t is the friction resistance threshold determination value at the current time, k is a support sliding speed coefficient, v t+1 is the support sliding speed at the next time, and Δt is the time interval between the next time and the current time.

[0049] In some optional embodiments, the support sliding speed v in the set time period is determined according to the formula: v = sin 2πt.

[0050] wherein v is the support sliding speed and t is time.

[0051] In the embodiment, the support sliding speed is determined according to the motion characteristics of the bridge friction support, and different support sliding speeds are selected in different system structures.

[0052] In some optional embodiments, the time interval between the next time and the current time is 0.01s.

[0053] In some optional embodiments, the determination of the support friction resistance at the next time according to the friction resistance threshold determination value at the next time and the maximum support friction resistance comprises:

[0054] when the absolute value of the friction resistance threshold determination value at the next time is greater than or equal to 1, the size of the support friction resistance at the next time is equal to the maximum support friction resistance, and the sign of the support friction resistance at the next time is the same as that of the friction resistance threshold determination value at the next time;

[0055] when the absolute value of the friction resistance threshold determination value at the next time is less than 1, the support friction resistance at the next time is equal to the product of the maximum support friction resistance and the friction resistance threshold determination value at the next time.

[0056] In some optional embodiments, the support friction resistance at the next time when the absolute value of the friction resistance threshold determination value at the next time is greater than or equal to 1 is determined according to the formula: F t+1 = f y ·sign(z t+1 ).

[0057] wherein F t+1 is the support friction resistance at the next time, f yThis represents the maximum frictional resistance of the support.

[0058] In some alternative embodiments, according to formula: F t+1 =f y ·z t+1 Determine the support friction at the next moment when the absolute value of the next moment friction threshold judgment value is less than 1.

[0059] Among them, F t+1 For the support friction resistance at the next moment, f y This represents the maximum frictional resistance of the support.

[0060] In some alternative embodiments, the maximum frictional resistance of the support is determined based on frictional resistance test data.

[0061] On the other hand, the present invention provides a device for determining the frictional resistance of a friction support, comprising:

[0062] The parameter acquisition module is used to obtain the maximum frictional resistance of the support and the sliding speed of the support within a set time period.

[0063] The model building module is used to establish an iterative model of friction support friction resistance as it changes with the support sliding speed, based on the maximum friction resistance of the support and the relationship between the friction resistance of the friction support and the sliding speed of the support.

[0064] The friction resistance determination module is used to obtain the friction resistance of the friction support within a set time period based on the friction resistance iterative model and the change in the sliding speed of the support within a set time period.

[0065] In summary, this invention obtains the maximum frictional resistance of the support and the sliding speed of the support within a set time period; based on the maximum frictional resistance of the support, and according to the relationship between the frictional resistance of the frictional support and the sliding speed of the support, an iterative model of the frictional resistance of the frictional support as a function of the sliding speed of the support is established; based on the iterative model of the frictional resistance of the frictional support, the frictional resistance of the frictional support within the set time period is obtained according to the change of the sliding speed of the support within the set time period.

[0066] Specifically, according to the formula: Determine the frictional resistance of the friction supports within a set time period. By determining the frictional resistance of the friction supports, the deformation of the system structure caused by frictional vibration can be further determined, and the sliding velocity of the supports can be corrected, providing support for subsequent system structure design and development.

[0067] This invention solves the problems of existing technologies that use WEN elements to establish first-order rigid ordinary differential equations for numerical calculations, which require step-by-step integration, resulting in a large computational workload and significant fluctuations in frictional resistance calculation results when the integration step size is large. It is beneficial for the convergence of boundary nonlinear dynamic time history analysis calculations and offers high computational efficiency.

[0068] The following specific examples will help to facilitate understanding of the present invention.

[0069] like Figure 2 As shown, the friction resistance iterative model of the friction support includes: first node 1, second node 2, support sliding speed coefficient 3, and friction resistance threshold determination 4. First node 1 and second node 2 represent two nodes in the friction support that slide relative to each other, and the friction resistance between them is affected by the support sliding coefficient 3 and the friction resistance threshold determination 4.

[0070] Maximum frictional resistance f of the support y =400kN, support sliding velocity coefficient k = 400000. The support sliding velocity between the first and second nodes of the support element is v = sin(2πt)m / s. The time t starts at 0s and ends at 1s, with a time interval Δt = 0.01s. The calculation steps are 101. The time corresponding to the first step is 0s, the time corresponding to the second step is 0.01s, and the time corresponding to the i-th step is (i-1)Δt.

[0071] In step 1, the velocity v1 = 0, the frictional resistance threshold z1 = 0, and the corresponding frictional resistance of the friction support is F1 = 0 kN. Based on the parameters from step 1, calculate the frictional resistance of the friction support in step 2.

[0072] The time for step 2 is 0.01s. Based on the sliding speed of the support, the sliding speed of the support in step 2 is v2 = 0.063m / s, and the threshold value for friction resistance in step 2 is z2 = 251.162.

[0073] Based on the value z2 = 251.162 determined in the second step of the friction threshold, and since the absolute value of z2 is greater than 1, sign(z2) = 1 is chosen. This value is related to the maximum support friction f. y Multiplying these together, we can obtain the frictional resistance of the friction support in step 2 as F2 = 400kN.

[0074] By repeating the above steps, the frictional resistance of the friction support within the set time period of 0-1s can be obtained, as shown below. Figure 3 As shown, and it can be seen that the frictional resistance of the friction support obtained by this scheme is more stable and without fluctuations compared to the frictional resistance obtained by the WEN element model.

[0075] In the description of this application, it should be noted that the terms "upper," "lower," etc., indicating the orientation or positional relationship are based on the orientation or positional relationship shown in the accompanying drawings, and are only for the convenience of describing this application and simplifying the description, and do not indicate or imply that the device or element referred to must have a specific orientation, or be constructed and operated in a specific orientation, and therefore should not be construed as a limitation of this application. Unless otherwise expressly specified and limited, the terms "installed," "connected," and "linked" should be interpreted broadly. For example, they can refer to a fixed connection, a detachable connection, or an integral connection; they can refer to a mechanical connection or an electrical connection; they can refer to a direct connection or an indirect connection through an intermediate medium; they can refer to the internal communication between two elements. For those skilled in the art, the specific meaning of the above terms in this application can be understood according to the specific circumstances.

[0076] It should be noted that in this application, relational terms such as "first" and "second" are used merely to distinguish one entity or operation from another, and do not necessarily require or imply any such actual relationship or order between these entities or operations. Furthermore, the terms "comprising," "including," or any other variations thereof are intended to cover non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements includes not only those elements but also other elements not expressly listed, or elements inherent to such a process, method, article, or apparatus. Without further limitations, an element defined by the phrase "comprising one..." does not exclude the presence of other identical elements in the process, method, article, or apparatus that includes said element.

[0077] The above description is merely a specific embodiment of this application, enabling those skilled in the art to understand or implement this application. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the general principles defined herein may be implemented in other embodiments without departing from the spirit or scope of this application. Therefore, this application is not to be limited to the embodiments shown herein, but is to be accorded the widest scope consistent with the principles and novel features claimed herein.

Claims

1. A method for determining the frictional resistance of a friction support, characterized in that, include: Obtain the maximum frictional resistance of the support and the sliding speed of the support within a set time period; Based on the maximum frictional resistance of the support, and according to the relationship between the frictional resistance of the frictional support and the sliding velocity of the support, an iterative model of the frictional resistance of the frictional support as a function of the sliding velocity of the support is established. Based on the iterative model of friction support friction resistance, the friction support friction resistance within a set time period is obtained according to the change of support sliding speed within a set time period. The aforementioned iterative model based on friction bearing friction resistance, which obtains the friction bearing friction resistance within a set time period based on the change in bearing sliding velocity within a set time period, includes: The friction threshold value for the next moment is determined based on the current friction threshold value, the support sliding speed coefficient, and the support sliding speed for the next moment. The support friction resistance at the next moment is determined based on the friction resistance threshold value and the maximum friction resistance of the support at the next moment. Repeat the above steps until the frictional resistance of the friction support within the set time period is obtained; According to the formula: Determine the friction threshold value for the next moment; in, This is the threshold value for determining the frictional resistance at the next moment. This is the current frictional resistance threshold value. The bearing sliding velocity coefficient is... The next moment is the support sliding speed. The time interval between the next moment and the current moment; According to the formula: Determine the sliding speed of the support within a set time period; in, The sliding speed of the support, For time; The method of determining the support friction resistance at the next moment based on the next moment friction resistance threshold and the maximum friction resistance of the support includes: When the absolute value of the frictional resistance threshold judgment value at the next moment is greater than or equal to 1, the magnitude of the support frictional resistance at the next moment is equal to the maximum frictional resistance of the support, and the sign of the support frictional resistance at the next moment is the same as the frictional resistance threshold judgment value at the next moment. When the absolute value of the next moment friction threshold judgment value is less than 1, the next moment support friction is equal to the product of the maximum support friction and the next moment friction threshold judgment value. According to the formula: Determine the support friction at the next moment when the absolute value of the friction threshold judgment value is greater than or equal to 1. in, For the support friction resistance at the next moment, This represents the maximum frictional resistance of the support. According to the formula: Determine the support friction at the next moment when the absolute value of the next moment friction threshold judgment value is less than 1. in, For the support friction resistance at the next moment, This represents the maximum frictional resistance of the support.

2. The method for determining the frictional resistance of a friction support as described in claim 1, characterized in that, The time interval between the next moment and the current moment is 0.01s.

3. The method for determining the frictional resistance of a friction support as described in claim 1, characterized in that, The maximum frictional resistance of the support is determined based on frictional resistance test data.

4. A device for determining the frictional resistance of a friction support, used to implement the method as described in any one of claims 1-3, characterized in that, include: The parameter acquisition module is used to obtain the maximum frictional resistance of the support and the sliding speed of the support within a set time period. The model building module is used to establish an iterative model of friction support friction resistance as it changes with the support sliding speed, based on the maximum friction resistance of the support and the relationship between the friction resistance of the friction support and the sliding speed of the support. The friction resistance determination module is used to obtain the friction resistance of the friction support within a set time period based on the friction resistance iterative model and the change in the sliding speed of the support within a set time period.

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