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CN-122021049-A - Self-resetting spliced pier earthquake-proof reliability analysis method, device, system and storage medium

CN122021049ACN 122021049 ACN122021049 ACN 122021049ACN-122021049-A

Abstract

The invention discloses a self-resetting spliced pier anti-seismic reliability analysis method, a device, a system and a storage medium, which comprise the steps of 1, determining a basic random variable of a structure, 2, selecting a representative sample, calculating the probability of probability subspace assignment, 3, analyzing the random response of the structure, 4, analyzing the hysteresis of the structure, 5, calculating the damage index and the evolution speed of each sample, 6, defining a self-resetting segment prefabricated spliced pier damage criterion, 7, solving a generalized probability density evolution equation with an absorption boundary, 8, obtaining a residual probability density function, and 9, evaluating the time-varying anti-seismic reliability of the self-resetting segment prefabricated spliced pier. By adopting the technical scheme of the invention, the scientific evaluation of the earthquake-resistant safety performance of the self-resetting segment prefabrication assembly pier under the influence of material randomness is realized.

Inventors

  • GAO RUOFAN
  • Hong Qinling
  • HU JINHAO
  • WU LIJIE
  • Ke Jiacong

Assignees

  • 暨南大学

Dates

Publication Date
20260512
Application Date
20260212

Claims (8)

  1. 1. The earthquake-resistant reliability analysis method for the self-resetting spliced pier is characterized by comprising the following steps of: Step 1, determining a structure basic random variable; step 2, selecting a representative sample, and calculating the probability of assigning a probability subspace; Step 3, analyzing the random response of the structure; Step 4, analyzing structure hysteresis; Step 5, calculating damage indexes and evolution speed of each sample; Step 6, defining a damage criterion of the prefabricated spliced pier of the self-resetting segment; step 7, solving a generalized probability density evolution equation with an absorption boundary; step 8, obtaining a residual probability density function; and 9, evaluating the time-varying earthquake-resistant reliability of the self-resetting segment prefabrication spliced pier.
  2. 2. The method for analyzing earthquake-resistant reliability of the self-resetting spliced pier according to claim 1, wherein the generalized probability density evolution equation is as follows: , Wherein, the Is an index of injury And random variable Reflecting the probability distribution characteristics of a certain combination value of the structural damage index D and the random variable at the same time under a given generalized time; Is obtained by taking a given random variable value as Structural damage during this time Instantaneous evolution speed along with the propulsion of the loading process; Is a generalized time. The boundary and initial conditions are respectively as follows: , Wherein, the Is a joint probability density function of the damage index D and a random variable, Described is the initial value of certainty of the injury status, in At infinity at any other point Zero and its integral over the entire d-space is 1; The inherent uncertainty characterizing a random variable is a substantially random variable Probability distribution at the initial time The structural damage index D of all samples is deterministically equal to the same initial value with 100% probability , , Wherein, the For failure domains, i.e. areas where the damage indicator D meets or exceeds the damage threshold, Is a damage index D and a random variable If the lesion enters the failure domain Its probability density immediately becomes zero.
  3. 3. The method for analyzing earthquake-resistant reliability of self-resetting spliced piers according to claim 2, wherein the generalized probability density evolution equation is solved, integration is performed in a random variable space, and the remaining probability density function in the safety domain is obtained by: , Wherein, the In the case of a random variable space, Is the joint probability density function of the damage index D and the random variable, and is applied to the random variable In the whole space Integrating to obtain the total probability distribution of damage index in the safety domain , Further, the reliability can be found as follows: , Wherein, the Representing structure over generalized time Varying reliability; Safety domain expressed in damage index Integrating the above, calculating the "residual" probability density function of the damage index In the security domain The inner integration can then yield the time-varying reliability of the structure.
  4. 4. The utility model provides a from resetting and assemble pier antidetonation reliability analytical equipment which characterized in that includes: a first processing module for determining a structural substantially random variable; the second processing module is used for selecting a representative sample and calculating the probability of assigning a probability subspace; the third processing module is used for analyzing the structural random response; the fourth processing module is used for analyzing the structure hysteresis; The fifth processing module is used for calculating the damage index and the evolution speed of each sample; the sixth processing module is used for defining a self-resetting segment prefabrication assembly pier damage criterion; the seventh processing module is used for solving a generalized probability density evolution equation with an absorption boundary; The eighth processing module is used for acquiring a residual probability density function; and the ninth processing module is used for evaluating the time-varying earthquake-resistant reliability of the self-resetting segment prefabrication spliced pier.
  5. 5. The self-resetting spliced pier earthquake-resistant reliability analysis device of claim 4, wherein the generalized probability density evolution equation is: Wherein, the Is an index of injury And random variable Is a function of the joint probability density of (c), Is given at Time of day Is a rate of change of (2); The boundary and initial conditions are respectively as follows: , 。
  6. 6. The earthquake-resistant reliability analysis device for the self-resetting spliced pier according to claim 5, wherein the eighth processing module solves a generalized probability density evolution equation, integrates in a random variable space, and obtains the residual probability density function in a safety domain as follows: , the time-varying anti-seismic reliability obtained by the eighth processing module is as follows: 。
  7. 7. A self-resetting spliced pier earthquake-resistant reliability analysis system, which is characterized by comprising a memory and a processor, wherein the memory is stored with a computer program which is run by the processor, and the computer program executes the self-resetting spliced pier earthquake-resistant reliability analysis method according to any one of claims 1-3 when the computer program is run by the processor.
  8. 8. A storage medium having stored thereon a computer program which, when run, performs the self-resetting spliced pier earthquake-proof reliability analysis method of any one of claims 1 to 3.

Description

Self-resetting spliced pier earthquake-proof reliability analysis method, device, system and storage medium Technical Field The invention belongs to the technical field of structural engineering, and particularly relates to a self-resetting spliced pier earthquake-proof reliability analysis method, device, system and storage medium. Background Along with the deep advancement of the national strategy of traffic, modern bridge engineering is developing towards high efficiency, green and toughness. The prestressed segment prefabrication spliced self-resetting pier (SC-PSBCs) is used as a representative novel structure, the prestressed tendons are serially connected with the prefabricated segments by virtue of the structural characteristics of the prestressed tendons, and the prestressed tendons are aided with the structural characteristics of local energy-consuming steel bars, so that the prestressed segment prefabrication spliced self-resetting pier achieves a remarkable self-resetting function through an opening-closing mechanism of segment joints and the elastic restoring force of the prestressed tendons in strong earthquake, can effectively control residual displacement after the earthquake, has industrialized construction quality and excellent earthquake resistance toughness, and has wide application prospects in important engineering at home and abroad. However, the mechanical behavior of SC-PSBCs is essentially different from that of a traditional cast-in-place pier. The damage process is highly concentrated on the joint interface of the sections, and is represented by complex coupling of multiple mechanisms such as local crushing of concrete, yield of energy-consuming steel bars, stress change of prestressed steel bars and the like, so that the traditional damage evaluation method based on integral deformation or accumulated energy consumption is difficult to scientifically characterize the real damage state of the concrete. Most of the current researches focus on the deterministic hysteresis behavior and damage mechanism of the system, but the nonlinear earthquake response analysis and the quantitative evaluation of the earthquake-resistant reliability based on the performance under the influence of the randomness of key parameters such as the strength of concrete and reinforced materials are not provided with a systematic and reliable analysis method, which severely restricts the fine design and the safety evaluation of the advanced structural system. SC-PSBCs is used as a strong nonlinear random power system with multiple working phases, and the earthquake-proof reliability analysis of the system faces double challenges. On the one hand, the structural response has high path dependency and state switching characteristics, and classical reliability methods (such as a first-order second-order moment method and Monte Carlo simulation) often face the limitation of low computational efficiency or insufficient precision when processing such complex nonlinear function functions. On the other hand, the randomness of the earthquake motion input and the material property deeply influences and interweaves in the whole process response evolution from line elasticity, seam opening, energy consumption rib yielding to final failure of the structure. Disclosure of Invention In order to solve the problems in the prior art, the invention provides a self-resetting spliced pier earthquake-resistant reliability analysis method, a self-resetting spliced pier earthquake-resistant reliability analysis device, a self-resetting spliced pier earthquake-resistant reliability analysis system and a self-resetting spliced pier earthquake-resistant reliability analysis storage medium, which are based on a probability density evolution theory, and a scientific and effective analysis approach is provided for evaluating the earthquake-resistant reliability of the structure through the randomness of coupling materials and earthquake dynamic response. In order to achieve the above object, the present invention provides the following solutions: A self-resetting spliced pier earthquake-proof reliability analysis method comprises the following steps: Step 1, determining a structure basic random variable; step 2, selecting a representative sample, and calculating the probability of assigning a probability subspace; Step 3, analyzing the random response of the structure; Step 4, analyzing structure hysteresis; Step 5, calculating damage indexes and evolution speed of each sample; Step 6, defining a damage criterion of the prefabricated spliced pier of the self-resetting segment; step 7, solving a generalized probability density evolution equation with an absorption boundary; step 8, obtaining a residual probability density function; and 9, evaluating the time-varying earthquake-resistant reliability of the self-resetting segment prefabrication spliced pier. Preferably, the generalized probability density evolution equation is: , Wherein, th