CN-115659462-B - Digital twin non-node external load equivalent force calculation method for railway bridge pier

CN115659462BCN 115659462 BCN115659462 BCN 115659462BCN-115659462-B

Abstract

The invention discloses a digital twin non-node external load equivalent force calculation method for railway bridge piers, which comprises the following steps of inputting overall size information of the bridge piers, inputting external load information acting on the bridge piers, dividing bridge pier units and nodes, digitizing information of each unit and each node, calculating an equivalent node force general formula under the action of non-node concentrated load, calculating an equivalent node force general formula under the action of non-node distributed load, converting the equivalent node force general formula into a general complete solution format, and forming a general complete solution of the equivalent node force of the bridge piers under the action of any load. According to the invention, an equivalent node force expression of concentrated load and distributed load is deduced based on a mechanical equivalent principle, and the boundary conditions of each load working condition are equivalently replaced with a Heaviside function, so that a general complete solution of the equivalent node force of the concentrated load or the distributed load of any form of pier units is obtained, and a railway pier non-node external load equivalent node force calculation technology is established.

Inventors

WANG YUQUAN
LIU LONG
FU ANMIN
MIAO YONGKANG
BAI QINGBO
WU DI
ZHANG XINGHUA
SHAN XU
YAN LIQIANG
SU WEI
LIAO LIJIAN
GUO WEI
GOU HONGYE
LI YAN
LIU XIANGJUN
WEN JIZHOU
YANG ZHIHUI

Assignees

中国铁路设计集团有限公司
中南大学
西南交通大学

Dates

Publication Date: 20260505
Application Date: 20221019

Claims (7)

1. A railway pier digital twin non-node external load equivalent force calculation method is characterized by comprising the following steps: (A) Obtaining the overall size information of the bridge pier; (B) Acquiring external load information acting on the bridge pier; (C) Dividing pier units and nodes according to the overall size information of the piers, and digitizing the information of each unit and each node; (D) Calculating an equivalent node force general formula under the action of non-node concentrated load according to pier units and external load information; (E) Dividing actual stress working conditions according to pier units and external load information, and respectively calculating an equivalent node force general formula under the action of non-node distributed load; (F) Converting the equivalent node force general formula of the two steps into a general complete solution format; (G) Obtaining a general complete solution of the equivalent node forces of the bridge pier under any load according to the general complete solution format; Dividing actual stress working conditions according to pier units and external load information, and respectively calculating an equivalent node force general formula under the action of non-node distributed load, wherein the specific process is as follows: Firstly, dividing four actually existing stress working conditions according to respective distribution ranges and relative position relations of the distributed load and the pier units; Then, calculating the height of the overlapped part of the load distribution under each working condition and the bridge pier unit according to the geometric relation of the load distribution under each working condition and the bridge pier unit; then, solving the upper boundary load, the lower boundary load, the bending moment center and the graph multiplying area of the overlapped load according to the similar triangle of mechanics; And then, according to the balance relation between the force and the moment, solving the equivalent node force acting on the nodes at the upper end and the lower end of the corresponding pier unit.
2. The method of calculating the equivalent force of digital twin non-node external load of a railway pier according to claim 1, wherein the step (A) is characterized in that the overall dimension information of the pier is obtained according to a physical entity model of the railway pier, and the overall dimension information comprises the height of the pier, coordinates and outline dimensions of a pier top and a pier bottom and geometric shape information of the pier top to the pier bottom.
3. The method for calculating the equivalent force of the digital twin non-node external load of the railway pier according to claim 1, wherein the step (B) is characterized in that the external load information applied to the pier is obtained, and the external load information comprises concentrated load and distributed load applied to the pier body.
4. The method for calculating the equivalent force of the digital twin non-node external load of the railway pier according to claim 1, wherein the step (C) is characterized by dividing pier units and nodes according to the whole size information of the pier, and digitizing the information of each unit and node, and comprises the following specific processes: Firstly, dividing paragraphs of bridge piers along the height to obtain bridge pier units and corresponding nodes; Then, calculating the height of each pier unit, the cross section profile information of the upper end and the lower end of the pier unit and the change rule in the height range; then, the coordinates corresponding to each node are calculated.
5. The method for calculating the equivalent force of the digital twin non-node external load of the railway pier according to claim 1, wherein the step (D) is characterized by calculating an equivalent node force general formula under the action of the non-node concentrated load according to pier units and external load information, and comprises the following specific processes: Firstly, determining the specific position of a non-node concentrated load acting on a pier unit by combining external load information and unit node information; And then, according to the resultant force and moment balance equation, solving equivalent node forces acting on the nodes at the upper end and the lower end of the corresponding pier unit.
6. The method for calculating the equivalent force of the digital twin non-node external load of the railway pier according to claim 1, wherein the step (F) is characterized in that the equivalent node force general formula in the two steps is converted into a general complete solution format, and the specific process is as follows: Firstly, establishing the relation between boundary conditions of non-node concentrated loads and distributed loads of each calculation working condition and Heavside functions; Then, converting the general formulas of equivalent node forces of the corresponding working conditions obtained in the step (D) and the step (E) into a general complete solution format based on Heavside functions; and then, stacking universal complete solutions of all possible working conditions to obtain corresponding equivalent node forces.
7. The method for calculating the equivalent force of the digital twin non-node external load of the railway pier according to claim 1, wherein the step (G) is characterized in that the general complete solution of the equivalent node force of the pier under the action of any load is obtained according to a general complete solution format, and the specific process is as follows: Firstly, classifying each arbitrary load acting on pier units into concentrated load or distributed load; Then, relevant parameter information of each arbitrary load is digitalized; And (3) obtaining an equivalent node load expression under any load action by using the general complete solution based on Heavside functions obtained by calculation in the step (F).

Description

Digital twin non-node external load equivalent force calculation method for railway bridge pier Technical Field The invention belongs to the technical field of bridge engineering in the transportation industry, and particularly relates to a digital twin non-node external load equivalent force calculation method for railway bridge piers. Background In recent years, the national 'eight vertical and eight horizontal' high-speed rail main net is accelerating to form, and in most high-speed rail projects, the bridge accounts for more than 50%, and the bridge is mainly used as a simple standard beam. The requirements of the high-speed rail on the driving safety of the train on the bridge and the comfort of passengers are extremely high, and pier settlement, soft foundation, shrinkage creep, beam end deflection and the like can generate irreversible damage to the geometric form of the rail on the bridge, so that the operation safety of the high-speed rail is threatened. Pier top displacement under the action of pier rigidity and external load is an important index influencing train operation safety in the design stage. In the design stage, under the condition of fully considering various working conditions of construction and operation and maintenance, the force is required to improve the calculation accuracy of external force, deformation and the like of the pier foundation, and the millimeter-level smoothness of the track is better maintained from the design angle. In order to obtain a high-precision calculation result, a strategy of a finite element method and improving unit precision is often adopted to realize, but finite element modeling is not suitable for a large-scale high-speed railway bridge design process. The existing pier design manual and design software adopt a unit force method based on elastic assumption, and the self elastic rigidity of the pier body is considered, but the unit force modeling method cannot accurately process the concentrated load and the distributed load acting on non-nodes, so that higher calculation precision cannot be obtained when wind power, soil pressure and other similar distributed loads or multiple types of loads act together. Aiming at the problems, a set of digital twin non-node external load equivalent force calculation method for the railway pier is necessary to be researched, so that the problem of a twin model for accurately calculating the external load of the railway pier in an accurate simulation real environment is solved. Disclosure of Invention The invention provides a method for calculating the equivalent force of digital twin non-node external load of a railway pier, which aims to solve the problems existing in the prior art. The technical scheme of the invention is that the digital twin non-node external load equivalent force calculation method for the railway bridge pier comprises the following steps: A. Obtaining the overall size information of the bridge pier; B. acquiring external load information acting on the bridge pier; C. Dividing pier units and nodes according to the overall size information of the piers, and digitizing the information of each unit and each node; D. calculating an equivalent node force general formula under the action of non-node concentrated load according to pier units and external load information; E. dividing actual stress working conditions according to pier units and external load information, and respectively calculating an equivalent node force general formula under the action of non-node distributed load; F. Converting the equivalent node force general formula of the two steps into a general complete solution format; G. and obtaining the general complete solution of the bridge pier equivalent node forces under any load according to the general complete solution format. And A, obtaining the overall dimension information of the bridge pier, wherein the overall dimension information is obtained according to a railway bridge pier physical entity model, and comprises the height of the bridge pier, coordinates and outline dimensions of a pier top and a pier bottom and geometric shape information from the pier top to the pier bottom. And B, obtaining external load information acting on the pier, wherein the external load information comprises concentrated load and distributed load acting on the pier body of the pier. Step C, dividing pier units and nodes according to the whole size information of the piers, and digitizing the information of each unit and each node, wherein the specific process is as follows: Firstly, dividing paragraphs of bridge piers along the height to obtain bridge pier units and corresponding nodes; Then, calculating the height of each pier unit, the cross section profile information of the upper end and the lower end of the pier unit and the change rule in the height range; then, the coordinates corresponding to each node are calculated. And D, calculating an equivalent node force general formula under t