Method and device for calculating internal force of shear pin type sliding friction pendulum support

Abstract

The invention relates to a method for calculating the internal force of a shear pin type sliding friction pendulum support. The method comprises the following steps: acquiring a structure external load, a stiffness matrix, a mass matrix, a shear pin state value and parameters of the shear pin type sliding friction pendulum support; establishing a structure displacement increment iterative formula at the moment t; according to the state value of the shear pin, determining a calculation formula of the internal force and the tangent rigidity of the shear pin type sliding friction pendulum support; substituting the calculation formula of the internal force and the tangent rigidity of the shear pin type sliding friction pendulum support into a structure displacement increment iterative formula at the moment t, and carrying out iterative calculation until the converged internal force of the shear pin type sliding friction pendulum support is calculated; judging whether the state value of the shear pin is updated or not, and determining the internal force of the shear pin sliding friction pendulum support at the moment. The invention provides a shear pin type sliding friction pendulum support internal force calculation method and device, and the method comprises the steps: determining the internal force and tangent stiffness of a support according to the damage state of a shear pin, and simulating the limiting effect on the support when the shear pin is not damaged, and the energy consumption and damping effect of a sliding friction pendulum after the shear pin is damaged.

Description

Technical Field

[0001] The invention relates to the technical field of structural nonlinear analysis, and in particular to a method and a device for calculating the internal force of a shear pin type sliding friction pendulum support. Background Art

[0002] The shear pin type sliding friction pendulum bearing is a unique seismic isolation bearing designed according to the engineering needs of bridge engineering. By setting shear pins on the sliding friction pendulum bearing, the shear pins limit the bearing during small earthquakes and the shear pins are sheared and destroyed during large earthquakes, thereby exerting the shock absorption and energy dissipation function of the sliding friction pendulum bearing.

[0003] At present, the relevant finite element software often simulates all sliding friction pendulum bearings by Wen plastic constitutive unit simulation, but cannot accurately simulate the shear pin sliding friction pendulum bearing. The reason is that when simulating the shear pin sliding friction pendulum bearing, the Wen plastic constitutive unit cannot simulate the limiting effect of the shear pin during small earthquakes, nor can it simulate the sudden change from the bearing limiting to the sliding friction pendulum energy dissipation and shock absorption after the shear pin is damaged, which affects the dynamic results. Summary of the invention

[0004] The technical problem to be solved by this application is that the Wen-plastic constitutive unit used in the related art to calculate the bearing cannot simulate the limiting effect of the shear pin of the shear pin type sliding friction pendulum bearing during a small earthquake and the sudden change from the bearing limiting to the sliding friction pendulum energy dissipation and shock absorption after the shear pin is destroyed.

[0005] The present application provides a method for calculating the internal force of a shear pin type sliding friction pendulum bearing, comprising the following steps:

[0006] Step S1, obtaining the structural external load F, the stiffness matrix K and the mass matrix M, the shear pin state value and the shear pin type sliding friction pendulum bearing parameters;

[0007] Step S2, establishing an iterative formula for the structural displacement increment at time t;

[0008] Step S3: Determine the internal force F of the shear pin type sliding friction pendulum support according to the state value of the shear pin. d (t) and tangent stiffness K t The calculation formula of

[0009] Step S4, substitute the calculation formula of the internal force and tangent stiffness of the shear pin type sliding friction pendulum bearing into the iterative formula of the structural displacement increment at time t, and perform iterative calculation until a convergent internal force F of the shear pin type sliding friction pendulum bearing is calculated. d (t);

[0010] Step S5: according to the convergent shear pin sliding friction pendulum bearing internal force F d(t) and its corresponding shear pin state value to determine whether to update the shear pin state value, and determine the internal force F of the shear pin sliding friction pendulum support at this moment. d (t).

[0011] In one embodiment, the structural external load F, stiffness matrix K and mass matrix M, shear pin state values ​​and shear pin sliding friction pendulum bearing parameters are obtained through a finite element model.

[0012] In one implementation, the incremental iterative formula for the structural displacement at time t is:

[0013]

[0014] in:

[0015]

[0016] In the formula is the equivalent stiffness, is the equivalent external load at time t, F d (t) is the internal force of the shear pin sliding friction pendulum support at time t, K t is the tangent stiffness of the shear pin sliding friction pendulum support, dx(t) is the displacement increment, x i is the structural displacement of the current iteration step, x(t-Δt), are the displacement, velocity and acceleration of the shear pin sliding friction pendulum support at the previous moment respectively, and Δt is the time interval of step-by-step time analysis.

[0017] In one embodiment, the iterative formula for the structural displacement increment at time t is given by the dynamic formula And Newmark method is established to obtain, where x, and are displacement, velocity and acceleration respectively.

[0018] In one embodiment, the internal force F of the shear pin type sliding friction pendulum support is determined according to the state value of the shear pin. d (t) and tangent stiffness K t The calculation formula includes:

[0019] The shear pin state value is 0, which means the shear pin is not damaged. At time t, the internal force F of the shear pin sliding friction pendulum support is d (t) and tangent stiffness K t The calculation formula is:

[0020]

[0021] Among them, x i is the structural displacement of the current iteration step, Kq is the elastic stiffness of the shear pin.

[0022] In one embodiment, the internal force F of the shear pin type sliding friction pendulum support is determined according to the state value of the shear pin. d (t) and tangent stiffness K t The calculation formula includes:

[0023] The shear pin state value is 1, which means the shear pin is damaged. At time t, the internal force F of the shear pin sliding friction pendulum support is d (t) and tangent stiffness K t The calculation formula is:

[0024] F d (t) = f1 + f2

[0025]

[0026] In the formula,

[0027] Where f1 is the restoring force of the shear pin sliding friction pendulum bearing, P is the axial pressure of the shear pin sliding friction pendulum bearing, and x i is the displacement of the current iteration step, R is the curvature radius of the shear pin sliding friction pendulum support, f2 is the friction resistance of the shear pin sliding friction pendulum support, μ is the friction coefficient, k is the sliding velocity coefficient of the shear pin sliding friction pendulum support, z t-Δt is the friction coefficient of the shear pin type sliding friction pendulum bearing at the previous moment, and x(t-Δt) is the displacement of the shear pin type sliding friction pendulum bearing at the previous moment.

[0028] In one embodiment, the calculation formula of the internal force and tangent stiffness of the shear pin sliding friction pendulum bearing is substituted into the structural displacement increment iteration formula at time t, and iterative calculation is performed until a convergent shear pin sliding friction pendulum bearing internal force F is calculated. d (t) include:

[0029] Substituting the calculation formula of the internal force and tangent stiffness of the shear pin sliding friction pendulum support into the structural displacement increment iteration formula at time t;

[0030] Calculate dF for each iteration t , determine dF t Relationship with the iterative convergence limit eps;

[0031] If |dF t |≤eps, the iteration converges, and the output is the structural displacement x of the current iteration step. i As the iterative displacement, F of the current iteration step d (t) As the convergent shear pin sliding friction pendulum internal force F d(t), go to step S5;

[0032] If |dF t | > eps, update the iterative displacement, i.e., x i = x i + dx(t), and repeat steps S3 to S4.

[0033] In one embodiment, determining whether to update the shear pin status value according to the converged internal force F d (t) of the shear pin type sliding friction pendulum bearing and its corresponding shear pin status value, and determining the internal force F d (t) of the shear pin sliding friction pendulum bearing at this moment includes:

[0034] When the shear pin status value corresponding to the converged internal force F d (t) of the shear pin type sliding friction pendulum bearing is 1, do not update the shear pin status value;

[0035] Output the converged internal force F d (t) of the shear pin type sliding friction pendulum bearing as the internal force F d (t) of the shear pin type sliding friction pendulum bearing at this moment.

[0036] In one embodiment, determining whether to update the shear pin status value according to the converged internal force F d (t) of the shear pin type sliding friction pendulum bearing and its corresponding shear pin status value, and determining the internal force F d (t) of the shear pin sliding friction pendulum bearing at this moment includes:

[0037] When the shear pin status value corresponding to the converged internal force F d (t) of the shear pin type sliding friction pendulum bearing is 0, determine the magnitude relationship between the converged internal force F d (t) of the shear pin type sliding friction pendulum bearing and the shear pin yield strength Q;

[0038] |F d (t)| < Q, then do not update the shear pin status value, and output the converged internal force F d (t) of the shear pin type sliding friction pendulum bearing as the internal force F d (t) of the shear pin type sliding friction pendulum bearing at this moment;

[0039] |F d (t)| ≥ Q, then update the shear pin status value to 1, and the iterative displacement x i = 0, and repeat steps S3 to S4.

[0040] The embodiment of the present application also provides a device for calculating the internal force of a shear pin type sliding friction pendulum bearing, which includes:

[0041] A parameter acquisition module, which is used to obtain the structural external load F, the stiffness matrix K and the mass matrix M, the shear pin state value and the shear pin type sliding friction pendulum bearing parameters;

[0042] The first formula establishment module is used to establish an incremental iterative formula for structural displacement at time t;

[0043] The second formula building module is used to determine the internal force F of the shear pin sliding friction pendulum support according to the state value of the shear pin d (t) and tangent stiffness K t The calculation formula of

[0044] The first calculation module is used to substitute the calculation formula of the internal force and tangent stiffness of the shear pin sliding friction pendulum bearing into the iterative formula of the structural displacement increment at time t, and perform iterative calculation until a convergent shear pin sliding friction pendulum bearing internal force F is calculated. d (t);

[0045] The second calculation module is used to calculate the internal force F of the shear pin sliding friction pendulum support according to the convergence d (t) and its corresponding shear pin state value to determine whether to update the shear pin state value, and determine the internal force F of the shear pin sliding friction pendulum support at this moment. d (t).

[0046] The beneficial effects brought by the technical solution provided in the embodiments of the present application include:

[0047] The present application provides a method for calculating the internal force of a shear pin type sliding friction pendulum bearing, which determines the damage state of the shear pin in real time through the state value of the shear pin, thereby obtaining the internal force and tangent stiffness of the shear pin type sliding friction pendulum bearing at each moment according to its damage state. The present application determines the internal force and tangent stiffness of the bearing in real time according to the damage state of the shear pin, and can simulate the limiting effect of the shear pin on the bearing when it is not damaged, and can also simulate the energy dissipation and shock absorption effect of the sliding friction pendulum after the shear pin is damaged, thereby solving the problem that the related technology using Wen plastic units cannot simulate the limiting effect of the shear pin during small earthquakes, and cannot simulate the sudden change from bearing limiting to sliding friction pendulum energy dissipation and shock absorption after the shear pin is damaged. BRIEF DESCRIPTION OF THE DRAWINGS

[0048] In order to more clearly illustrate the technical solutions in the embodiments of the present application, the drawings required for use in the description of the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present application. For ordinary technicians in this field, other drawings can be obtained based on these drawings without creative work.

[0049] Figure 1The present invention is a flowchart of a method for calculating the internal force of a shear pin type sliding friction pendulum support in one embodiment of the present invention.

[0050] Figure 2 It is a block diagram of the internal force calculation device of the shear pin type sliding friction pendulum support in one embodiment of the present invention.

[0051] Figure 3 It is a schematic diagram of a single-degree-of-freedom structure shear pin type sliding friction pendulum bearing model in one embodiment of the present invention.

[0052] In the figure: 1. Upper node of single degree of freedom unit; 2. Lower node of single degree of freedom unit; 3. Lower node of shear pin sliding friction pendulum support unit; 4. Shear pin component; 5. Sliding surface of friction pendulum. DETAILED DESCRIPTION

[0053] In order to enable those skilled in the art to better understand the solution of the present application, the technical solution in the embodiments of the present application will be clearly and completely described below in conjunction with the drawings in the embodiments of the present application. Obviously, the described embodiments are only part of the embodiments of the present application, not all of the embodiments. Based on the embodiments in the present application, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of this application.

[0054] like Figure 1 As shown, Figure 1 The present invention is a flowchart of a method for calculating the internal force of a shear pin type sliding friction pendulum support in one embodiment of the present invention.

[0055] This embodiment provides a method for calculating the internal force of a shear pin type sliding friction pendulum bearing, comprising the following steps:

[0056] Step S1, obtaining the structural external load F, the stiffness matrix K and the mass matrix M, the shear pin state value and the shear pin type sliding friction pendulum bearing parameters;

[0057] Step S2, establishing an iterative formula for the structural displacement increment at time t;

[0058] Step S3: Determine the internal force F of the shear pin sliding friction pendulum support according to the shear pin state value d (t) and tangent stiffness K t The calculation formula of

[0059] Step S4, substitute the calculation formula of the internal force and tangent stiffness of the shear pin sliding friction pendulum bearing into the iterative formula of the structural displacement increment at time t, and perform iterative calculation until the convergent internal force F of the shear pin sliding friction pendulum bearing is calculated. d (t);

[0060] Step S5: Based on the convergent shear pin sliding friction pendulum bearing internal force F d(t) and its corresponding shear pin state value to determine whether to update the shear pin state value, and determine the internal force F of the shear pin sliding friction pendulum support at this moment d (t).

[0061] This embodiment provides a method for calculating the internal force of a shear pin type sliding friction pendulum bearing, and determines the damage state of the shear pin in real time through the state value of the shear pin, thereby obtaining the internal force and tangent stiffness of the shear pin type sliding friction pendulum bearing at each moment according to its damage state. This embodiment determines the internal force and tangent stiffness of the bearing according to the damage state of the shear pin in real time, and can simulate the limiting effect of the shear pin on the bearing when it is not damaged, and can also simulate the energy dissipation and shock absorption effect of the sliding friction pendulum after the shear pin is damaged, thereby solving the problem that the related technology using Wen plastic units cannot simulate the limiting effect of the shear pin during small earthquakes, and cannot simulate the sudden change from bearing limiting to sliding friction pendulum energy dissipation and shock absorption after the shear pin is damaged.

[0062] Each step is described and explained in detail below.

[0063] In one embodiment, in step S1, the structural external load F, the stiffness matrix K and the mass matrix M, the shear pin state value and the shear pin type sliding friction pendulum bearing parameters are obtained through a finite element model.

[0064] Of course, in addition to the above parameters, the external load F at the current time t can also be obtained through the finite element model t , obtain the displacement x(t-Δt) and velocity of the structure at the previous moment and acceleration The friction coefficient z of the shear pin sliding friction pendulum support at the previous moment t-Δt , the shear pin state value state at the previous moment.

[0065] The parameters of the shear pin sliding friction pendulum bearing include the friction coefficient μ, the bearing axial pressure P, the friction pendulum bearing curvature radius R, the shear pin elastic stiffness K q , shear pin yield strength Q, set the iteration convergence limit eps.

[0066] In one embodiment, in step S2, the incremental iterative formula of the structural displacement at time t is:

[0067]

[0068] in:

[0069]

[0070] In the formula is the equivalent stiffness, is the equivalent external load at time t, F d (t) is the internal force of the shear pin sliding friction pendulum support at time t, Kt is the tangent stiffness of the shear pin sliding friction pendulum support, dx(t) is the displacement increment, x i is the structural displacement of the current iteration step, x(t-Δt), are the displacement, velocity and acceleration of the shear pin sliding friction pendulum support at the previous moment respectively, and Δt is the time interval of step-by-step time analysis.

[0071] In one embodiment, the iterative formula for the structural displacement increment at time t is given by the dynamic formula And Newmark method to establish, x, and are displacement, velocity and acceleration respectively.

[0072] The Newmark method is a numerical technique for solving structural dynamics. This method discretizes the motion equations of the structure into a set of ordinary differential equations and uses a step-by-step integration scheme to numerically solve them. It is suitable for simulating the dynamic behavior of structures under various load conditions. The Newmark method can handle nonlinear and damping effects and is suitable for the analysis of complex structural systems. The Newmark method is widely used in structural dynamics, and is particularly suitable for solving the motion equations of structures subjected to earthquakes or transient loads. Its characteristics include unconditional stability and high numerical efficiency, and it can accurately and effectively simulate the dynamic behavior of structures. The Newmark method has a wide range of application examples in different fields. For example, in earthquake engineering, the Newmark method is used to analyze the stability of structures; in bridge engineering, it is used to analyze the dynamic response of bridges; in impact problems, it is used to solve the dynamic response of structures. This method belongs to the prior art and will not be described here.

[0073] In one embodiment, step S3, determining the internal force F of the shear pin sliding friction pendulum support according to the shear pin state value d (t) and tangent stiffness K t The calculation formula includes:

[0074] Step S31: If the shear pin state value is 0, the shear pin is not damaged. At time t, the internal force F of the shear pin sliding friction pendulum support is d (t) and tangent stiffness K t The calculation formula is:

[0075]

[0076] Among them, x i is the structural displacement of the current iteration step, K q is the elastic stiffness of the shear pin.

[0077] In one embodiment, step S3, determining the internal force F of the shear pin sliding friction pendulum support according to the shear pin state value d (t) and tangent stiffness Kt The calculation formula includes:

[0078] Step S32: If the shear pin state value is 1, the shear pin is damaged, and the internal force F of the shear pin sliding friction pendulum support at time t is d (t) and tangent stiffness K t The calculation formula is:

[0079] F d (t) = f1 + f2

[0080]

[0081] In the formula,

[0082] Where f1 is the restoring force of the shear pin sliding friction pendulum bearing, P is the axial pressure of the shear pin sliding friction pendulum bearing, when the bearing axial force is tensile, P is taken to be zero, x i is the displacement of the current iteration step, R is the curvature radius of the shear pin sliding friction pendulum bearing, f2 is the friction resistance of the shear pin sliding friction pendulum bearing, μ is the friction coefficient, k is the sliding velocity coefficient of the shear pin sliding friction pendulum bearing, z t-Δt is the friction coefficient of the shear pin type sliding friction pendulum bearing at the previous moment, and x(t-Δt) is the displacement of the shear pin type sliding friction pendulum bearing at the previous moment.

[0083] Through the above scheme, the shear pin state value is set as an intermediate judgment value according to the mechanical characteristics of the shear pin sliding friction pendulum bearing, so that the internal force and tangent stiffness are calculated according to the mechanical characteristics of the shear pin. The calculation formula of the internal force and tangent stiffness of the constructed shear pin sliding friction pendulum bearing is simple in form, has fewer parameters, and the iterative calculation is simple and efficient.

[0084] In one embodiment, step S4, the calculation formula of the internal force and tangent stiffness of the shear pin sliding friction pendulum bearing is substituted into the structural displacement increment iterative formula at time t, and iterative calculation is performed until a convergent shear pin sliding friction pendulum bearing internal force F is calculated. d (t) include:

[0085] Step S41, substituting the calculation formula of the internal force and tangent stiffness of the shear pin sliding friction pendulum support into the structural displacement increment iterative formula at time t;

[0086] Step S42: Calculate dF for each iteration t , determine dF t Relationship with the iterative convergence limit eps;

[0087] Step S43: If |dF t |≤eps, the iteration converges and the structural displacement x of the current iteration step is output. iAs the iterative displacement, F at the current iteration step d Let F(t) be the internal force of the converged shear pin type sliding friction pendulum d (t), and enter step S5;

[0088] Step S44: If |dF t | > eps, update the iterative displacement, i.e., x i = x i + dx(t), and repeat steps S3 to S4.

[0089] In one embodiment, step S5: Determine whether to update the shear pin status value according to the converged internal force F d (t) of the shear pin type sliding friction pendulum support and its corresponding shear pin status value, and determine the internal force F d (t) of the shear pin sliding friction pendulum support at this moment, including:

[0090] Step S51: When the shear pin status value corresponding to the converged internal force F d (t) of the shear pin type sliding friction pendulum support is 1, do not update the shear pin status value;

[0091] Step S52: Output the converged internal force F d (t) of the shear pin type sliding friction pendulum support as the internal force F d (t) of the shear pin type sliding friction pendulum support at this moment.

[0092] In one embodiment, step S5: Determine whether to update the shear pin status value according to the converged internal force F d (t) of the shear pin type sliding friction pendulum support and its corresponding shear pin status value, and determine the internal force F d (t) of the shear pin sliding friction pendulum support at this moment, including:

[0093] Step S53: When the shear pin status value corresponding to the converged internal force F d (t) of the shear pin type sliding friction pendulum support is 0, judge the magnitude of the converged internal force F d (t) of the shear pin type sliding friction pendulum support and the shear pin yield strength Q;

[0094] Step S54: When |F d (t)| < Q, do not update the shear pin status value, keep the shear pin status value as 0, and output the converged internal force F d (t) of the shear pin type sliding friction pendulum support as the internal force F d (t) of the shear pin type sliding friction pendulum support at this moment;

[0095] Step S55: When |F d (t)| ≥ Q, update the shear pin status value to 1, and the iterative displacement x i=0, repeat steps S3 to S4.

[0096] like Figure 2 As shown, Figure 2 It is a block diagram of the internal force calculation device of the shear pin type sliding friction pendulum support in one embodiment of the present invention.

[0097] The embodiment of the present application also provides a shear pin type sliding friction pendulum bearing internal force calculation device, which includes:

[0098] A parameter acquisition module, which is used to obtain the structural external load F, the stiffness matrix K and the mass matrix M, the shear pin state value and the shear pin type sliding friction pendulum bearing parameters;

[0099] The first formula establishment module is used to establish an incremental iterative formula for structural displacement at time t;

[0100] The second formula building module is used to determine the internal force F of the shear pin sliding friction pendulum support according to the shear pin state value. d (t) and tangent stiffness K t The calculation formula of

[0101] The first calculation module is used to substitute the calculation formula of the internal force and tangent stiffness of the shear pin sliding friction pendulum bearing into the structural displacement increment iteration formula at time t, and perform iterative calculation until the converged shear pin sliding friction pendulum bearing internal force F is calculated. d (t);

[0102] The second calculation module is used to calculate the internal force F of the shear pin sliding friction pendulum support according to the convergence d (t) and its corresponding shear pin state value to determine whether to update the shear pin state value, and determine the internal force F of the shear pin sliding friction pendulum support at this moment d (t).

[0103] The functions of each module correspond to the steps of the aforementioned method and will not be repeated here.

[0104] A specific embodiment is provided below for illustration.

[0105] like Figure 3 As shown, Figure 3 It is a schematic diagram of a single-degree-of-freedom structure shear pin type sliding friction pendulum bearing model in one embodiment of the present invention.

[0106] The single-degree-of-freedom structural shear pin sliding friction pendulum support model is taken as the analysis object. The structural model contains a single-degree-of-freedom unit and a shear pin sliding friction pendulum unit.

[0107] This embodiment provides a method for calculating the internal force of a shear pin type sliding friction pendulum bearing, comprising the following steps:

[0108] Step S1, obtaining the structural external load F, the stiffness matrix K and the mass matrix M, the shear pin state value and the shear pin type sliding friction pendulum bearing parameters.

[0109] Specifically, a single degree of freedom structural finite element model is established, and the structural stiffness matrix K is 100000 kN / m, the mass matrix M is 100 kg, and the external load F at the current moment is t is 500kN, the displacement, velocity and acceleration at the previous moment are all 0, and the friction coefficient of the shear pin sliding friction pendulum support at the previous moment is z t-Δt is 0, and the shear pin state value state is 0. The friction coefficient μ of the shear pin sliding friction pendulum bearing is 0.01, the bearing axial pressure P is 10000 kN, the friction pendulum bearing curvature radius R is 2 m, and the shear pin elastic stiffness K q The shear pin yield strength Q is 100 kN, and the iteration convergence limit eps is set to 1e-4.

[0110] Step S2: Establish an incremental iterative formula for structural displacement at time t.

[0111] Specifically, the incremental iterative formula of the structural displacement at time t is:

[0112]

[0113] in:

[0114]

[0115] In the formula, is the equivalent stiffness, is the equivalent external load at time t, F d (t) is the internal force of the shear pin sliding friction pendulum support at time t, K t is the tangent stiffness of the shear pin sliding friction pendulum support, dx(t) is the displacement increment, x i is the structural displacement of the current iteration step, and the initial displacement x i =0, x(t-Δt), are the displacement, velocity and acceleration of the shear pin sliding friction pendulum support at the previous moment respectively. Δt is the time interval of step-by-step time analysis, which is taken as 0.02s.

[0116] Step S3: Determine the internal force F of the shear pin sliding friction pendulum support according to the shear pin state value d (t) and tangent stiffness K t The calculation formula for .

[0117] Specifically, the shear pin state value is 0, which means the shear pin is not damaged. At time t, the internal force F d (t) and tangent stiffness K tThe calculation formula is:

[0118]

[0119] Step S4, substitute the calculation formula of the internal force and tangent stiffness of the shear pin sliding friction pendulum bearing into the iterative formula of the structural displacement increment at time t, and perform iterative calculation until the convergent internal force F of the shear pin sliding friction pendulum bearing is calculated. d (t).

[0120] Specifically, in step S3, the shear pin state state = 0, the initial displacement x0 = 0, and the internal force F of the shear pin sliding friction pendulum bearing is calculated. d (t) = 0, tangent stiffness K t =1000000; Substituting it into the incremental displacement iterative formula at time t, we get: dx(t)=2.3809524e-4, x1=x0+dx(t)=2.3809524e-4, F d (t) = 238.095 kN. Calculate dF t =4e-6, |dF(t)|≤eps=1e-4, then the iteration converges, F d (t) = 238.095 kN as the convergent shear pin sliding friction pendulum internal force F d (t), the corresponding shear pin state value is 0, and the process goes to step S5.

[0121] Step S5: Based on the converged shear pin sliding friction pendulum bearing internal force F d (t) and its corresponding shear pin state value to determine whether to update the shear pin state value, and determine the internal force F of the shear pin sliding friction pendulum support at this moment d (t).

[0122] Specifically, due to F d (t) = 238.095 kN, the corresponding shear pin state value state = 0, judging F d (t)|≥Q=100kN, then update the shear pin state value state=1, iterate the displacement x i =0, repeat steps S3 to S4, the process is as follows:

[0123] ① After updating, return to step S3, the shear pin state value state = 1, the shear pin is destroyed, and the internal force and tangent stiffness of the shear pin sliding friction pendulum support are calculated. Iteration displacement x i = 0, the internal force F of the shear pin sliding friction pendulum bearing is calculated d (t) = 0, tangent stiffness K t= 50005000. Step S4: Substitute the calculation formulas of the tangent stiffness and internal force into the iterative formula of the structural displacement increment at time t, and obtain dx(t) = 9.78378e-6, x1 = x0 + dx(t) = 9.78378e-6, and calculate dF t = 389.1889 kN, |dF(t)| > eps, and repeat Step S3 to Step S4 again.

[0124] ② The displacement x1 = 9.78378e-6. Step S3: Calculate the internal force F d (t) = 100.04892 kN of the shear pin type sliding friction pendulum bearing, and the tangent stiffness K t = 5000. Step S4: Substitute the calculation formulas of the tangent stiffness and internal force into the iterative formula of the structural displacement increment at time t, and obtain dx(t) = 3.52207e-4, x2 = x1 + dx(t) = 3.61991e-4, F d (t) = 101.81 kN, and calculate dF t = -5.5e-5, |dF(t)| < eps, then the iteration converges, and F d (t) = 101.81 kN is used as the converged internal force F d (t) of the shear pin type sliding friction pendulum, and the corresponding shear pin state value is 1, and enter Step S5.

[0125] ③ Step S5: Since the shear pin state value state = 1, the shear pin state value is not updated, and directly output the converged internal force F d (t) of the shear pin type sliding friction pendulum bearing at this moment, that is, F d (t) = 101.81 kN.

[0126] In the description of the present application, it should be noted that the orientation or positional relationship indicated by terms such as "upper" and "lower" is based on the orientation or positional relationship shown in the drawings. It is only for the convenience of describing the present application and simplifying the description, rather than indicating or implying that the device or element referred to must have a specific orientation, be constructed and operated in a specific orientation, and therefore cannot be understood as a limitation to the present application. Unless otherwise clearly specified and defined, the terms "installed", "connected", and "connected" should be understood in a broad sense. For example, it can be a fixed connection, a detachable connection, or an integral connection; it can be a mechanical connection or an electrical connection; it can be directly connected or indirectly connected through an intermediate medium, and it can be the communication inside two elements. For those of ordinary skill in the art, the specific meanings of the above terms in the present application can be understood according to specific situations.

[0127] It should be noted that, in this application, relational terms such as "first" and "second" are only used to distinguish one entity or operation from another entity or operation, and do not necessarily require or imply any such actual relationship or order between these entities or operations. Moreover, the terms "include", "comprise" or any other variants thereof are intended to cover non-exclusive inclusion, so that a process, method, article or device including a series of elements includes not only those elements, but also other elements not explicitly listed, or also includes elements inherent to such process, method, article or device. In the absence of further restrictions, the elements defined by the sentence "comprise a ..." do not exclude the presence of other identical elements in the process, method, article or device including the elements.

[0128] In the description of the embodiments of the present application, unless otherwise specified, “ / ” means or, for example, A / B can mean A or B; the “and / or” in the text is merely a description of the association relationship of associated objects, indicating that three relationships may exist, for example, A and / or B can mean: A exists alone, A and B exist at the same time, and B exists alone. In addition, in the description of the embodiments of the present application, “multiple” refers to two or more than two.

[0129] The above is only a specific implementation of the present application, so that those skilled in the art can understand or implement the present application. Various modifications to these embodiments will be apparent to those skilled in the art, and the general principles defined herein can be implemented in other embodiments without departing from the spirit or scope of the present application. Therefore, the present application will not be limited to the embodiments shown herein, but will conform to the widest range consistent with the principles and novel features applied for herein.

Claims

1. A method for calculating the internal force of a shear pin sliding friction pendulum bearing, characterized in that: The following steps are involved: Step S1, obtaining the structural external load F, the stiffness matrix K and the mass matrix M, the shear pin state value and the shear pin type sliding friction pendulum bearing parameters; Step S2, establishing an iterative formula for the structural displacement increment at time t; Step S3: Determine the internal force F of the shear pin sliding friction pendulum support according to the state value of the shear pin. d (t) and tangent stiffness K t The calculation formula of Step S4, substitute the calculation formula of the internal force and tangent stiffness of the shear pin type sliding friction pendulum bearing into the iterative formula of the structural displacement increment at time t, and perform iterative calculation until a convergent internal force F of the shear pin type sliding friction pendulum bearing is calculated. d (t); Step S5: according to the convergent shear pin sliding friction pendulum bearing internal force F d (t) and its corresponding shear pin state value to determine whether to update the shear pin state value, and determine the internal force F of the shear pin sliding friction pendulum support at this moment. d (t).

2. The internal force calculation method of the shear pin type sliding friction pendulum support according to claim 1 is characterized in that: The structural external load F, stiffness matrix K and mass matrix M, shear pin state value and shear pin sliding friction pendulum bearing parameters are obtained through a finite element model.

3. The internal force calculation method of the shear pin type sliding friction pendulum support according to claim 1 is characterized in that: The incremental iterative formula of the structural displacement at time t is: in: In the formula is the equivalent stiffness, is the equivalent external load at time t, F d (t) is the internal force of the shear pin sliding friction pendulum support at time t, K t is the tangent stiffness of the shear pin sliding friction pendulum support, dx(t) is the displacement increment, x i is the structural displacement of the current iteration step, x(t-Δt), are the displacement, velocity and acceleration of the shear pin sliding friction pendulum support at the previous moment respectively, and Δt is the time interval of step-by-step time analysis.

4. The internal force calculation method of the shear pin type sliding friction pendulum support according to claim 3 is characterized in that: The incremental iterative formula of the structural displacement at time t is given by the dynamic formula And Newmark method is established to obtain, where x, and are displacement, velocity and acceleration respectively.

5. The internal force calculation method of the shear pin type sliding friction pendulum support according to claim 1 is characterized in that: The internal force F of the shear pin type sliding friction pendulum support is determined according to the state value of the shear pin d (t) and tangent stiffness K t The calculation formula includes: The shear pin state value is 0, which means the shear pin is not damaged. At time t, the internal force F of the shear pin sliding friction pendulum support is d (t) and tangent stiffness K t The calculation formula is: Among them, x i is the structural displacement of the current iteration step, K q is the elastic stiffness of the shear pin.

6. The internal force calculation method of the shear pin type sliding friction pendulum support according to claim 1 is characterized in that: The internal force F of the shear pin type sliding friction pendulum support is determined according to the state value of the shear pin d (t) and tangent stiffness K t The calculation formula includes: The shear pin state value is 1, which means the shear pin is damaged. At time t, the internal force F of the shear pin sliding friction pendulum support is d (t) and tangent stiffness K t The calculation formula is: F d (t)=f1+f2 In the formula, Where f1 is the restoring force of the shear pin sliding friction pendulum bearing, P is the axial pressure of the shear pin sliding friction pendulum bearing, and x i is the displacement of the current iteration step, R is the curvature radius of the shear pin sliding friction pendulum support, f2 is the friction resistance of the shear pin sliding friction pendulum support, μ is the friction coefficient, k is the sliding velocity coefficient of the shear pin sliding friction pendulum support, z t-Δt is the friction coefficient of the shear pin type sliding friction pendulum bearing at the previous moment, and x(t-Δt) is the displacement of the shear pin type sliding friction pendulum bearing at the previous moment.

7. The internal force calculation method of the shear pin type sliding friction pendulum support according to claim 3 is characterized in that: Substituting the calculation formula of the internal force and tangent stiffness of the shear pin sliding friction pendulum bearing into the structural displacement increment iteration formula at time t, performing iterative calculation until a convergent shear pin sliding friction pendulum bearing internal force F is calculated. d (t) include: Substituting the calculation formula of the internal force and tangent stiffness of the shear pin sliding friction pendulum support into the structural displacement increment iteration formula at time t; Calculate dF for each iteration t , determine dF t Relationship with the iterative convergence limit eps; If |dF t |≤eps, the iteration converges, and the output is the structural displacement x of the current iteration step. i As the iterative displacement, F of the current iteration step d (t) As the convergent shear pin sliding friction pendulum internal force F d (t), proceed to step S5; If |dF t |>eps, update iterative displacement, that is, x i =x i +dx(t), repeat steps S3 to S4.

8. The internal force calculation method of the shear pin type sliding friction pendulum support according to claim 1 is characterized in that: The internal force F of the shear pin sliding friction pendulum support according to the convergence d (t) and its corresponding shear pin state value to determine whether to update the shear pin state value, and determine the internal force F of the shear pin sliding friction pendulum support at this moment. d (t) include: The convergent shear pin sliding friction pendulum bearing internal force F d (t) When the corresponding shear pin state value is 1, the shear pin state value is not updated; Output the convergent shear pin sliding friction pendulum bearing internal force F d (t) is the internal force F of the shear pin sliding friction pendulum support at this moment. d (t).

9. The internal force calculation method of the shear pin type sliding friction pendulum support according to claim 1 is characterized in that: The internal force F of the shear pin sliding friction pendulum support according to the convergence d (t) and its corresponding shear pin state value to determine whether to update the shear pin state value, and determine the internal force F of the shear pin sliding friction pendulum support at this moment. d (t) include: The convergent shear pin sliding friction pendulum bearing internal force F d (t) When the corresponding shear pin state value is 0, the internal force F of the convergent shear pin sliding friction pendulum support is determined. d (t) and the magnitude of the shear pin yield strength Q; |F d When (t) | < Q, the shear pin state value is not updated, and the converged internal force F of the shear pin type sliding friction pendulum bearing is output d (t) is used as the internal force F of the shear pin type sliding friction pendulum bearing at this moment d (t); |F d (t)|≥Q, the shear pin state value is updated to 1, and the iterative displacement x i =0, repeat steps S3 to S4.

10. A shear pin type sliding friction pendulum bearing internal force calculation device, characterized in that: It includes: A parameter acquisition module, which is used to obtain the structural external load F, the stiffness matrix K and the mass matrix M, the shear pin state value and the shear pin type sliding friction pendulum bearing parameters; The first formula establishment module is used to establish an incremental iterative formula for structural displacement at time t; The second formula building module is used to determine the internal force F of the shear pin sliding friction pendulum support according to the state value of the shear pin d (t) and tangent stiffness K t The calculation formula of The first calculation module is used to substitute the calculation formula of the internal force and tangent stiffness of the shear pin sliding friction pendulum bearing into the iterative formula of the structural displacement increment at time t, and perform iterative calculation until a convergent shear pin sliding friction pendulum bearing internal force F is calculated. d (t); The second calculation module is used to calculate the internal force F of the shear pin sliding friction pendulum support according to the convergence d (t) and its corresponding shear pin state value to determine whether to update the shear pin state value, and determine the internal force F of the shear pin sliding friction pendulum support at this moment. d (t).

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