Static nonlinear analysis method of plane frame structure based on rigid body criterion

A nonlinear analysis and frame structure technology, applied in the field of structural numerical analysis, can solve problems such as divergence, inability to obtain ultimate bearing capacity and structural deformation process, and distortion of calculation results, and achieve clear physical meaning, concise derivation of incremental equations, and formal concise effect

Inactive Publication Date: 2019-02-01
CHONGQING UNIV
View PDF4 Cites 13 Cited by
  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

The structural nonlinear stiffness matrix used in the aforementioned method, especially the approximation of the geometric stiffness matrix, often produces errors that cannot be corrected through iteration, which will lead to serious distortion or even divergence

Method used

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
View more

Image

Smart Image Click on the blue labels to locate them in the text.
Viewing Examples
Smart Image
  • Static nonlinear analysis method of plane frame structure based on rigid body criterion
  • Static nonlinear analysis method of plane frame structure based on rigid body criterion
  • Static nonlinear analysis method of plane frame structure based on rigid body criterion

Examples

Experimental program
Comparison scheme
Effect test

Embodiment Construction

[0057] The present invention will be further described below in conjunction with the embodiments and accompanying drawings.

[0058] The present invention comprises the following steps:

[0059] Step 1. Establish a planar beam element model with a concentrated plastic hinge spring;

[0060] Such as figure 1 In the planar beam unit with concentrated plastic hinge springs shown, plastic hinge springs are introduced at both ends of the planar elastic beam unit, and the yield of the frame beam unit is assumed to only occur in the zero-length plastic hinge, that is, the development of material plasticity along the length direction of the member is not considered , the yielding is concentrated in one section, while the member between the plastic hinges is still completely elastic. The plastic hinge spring stiffness is expressed as:

[0061]

[0062] where EI / L is the elastic bending stiffness of the beam, φ y (M,F x ) is the initial yield function, φ p (M,F x ) is the comp...

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to view more

PUM

No PUM Login to view more

Abstract

The invention discloses a method for analyzing the coupling problem of static geometric nonlinearity and material nonlinearity of a plane frame structure based on a rigid body criterion, aiming at solving the problems that the prior method needs to adopt a complex element stiffness matrix, the number of divided elements is large, and the calculation efficiency and precision are insufficient. The method comprises the following steps: step 1, establishing a concentrated plastic hinge spring planar beam element model; 2, establishing an element stiffness matrix corresponding to the model satisfying the rigid body criterion; 3, establish an incremental iterative process for sol that equation based on the updated Lagrangian scheme and the rigid body criterion; Step 4, iteratively solving the incremental equation to obtain the load-displacement curve and the limit load in the loading process of the structure. The invention has the advantages of being applicable to the coupling problem of geometrical non-linearity and material non-linearity of plane frame structure, simple geometrical stiffness matrix form, linear stiffness matrix, less element division, high calculation efficiency and precision, and is suitable for engineering application.

Description

technical field [0001] The invention relates to the field of structural numerical analysis, in particular to a static nonlinear analysis method of a plane frame structure based on a rigid body criterion. Background technique [0002] The analysis of the limit state and bearing capacity of steel frame structures involves the coupling of material nonlinearity and geometric nonlinearity caused by member section yielding. The key lies in the construction of nonlinear elements and the determination of iterative analysis methods. Commonly used nonlinear elements include the beam-column element and fiber element proposed by W.F.Chen et al. considering the second-order effect, and the iterative analysis method is mostly the incremental iteration method based on the Updated Lagrange scheme (UL for short). [0003] The beam-column theory and plastic hinge theory proposed by W.F.Chen et al. considering the second-order effect are the basis for constructing commonly used nonlinear eleme...

Claims

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to view more

Application Information

Patent Timeline
no application Login to view more
IPC IPC(8): G06F17/50
CPCG06F30/20G06F2119/06
Inventor 杨永斌陈朝晖陶宇宸李云飞古洪廖旻懋
Owner CHONGQING UNIV
Who we serve
  • R&D Engineer
  • R&D Manager
  • IP Professional
Why Eureka
  • Industry Leading Data Capabilities
  • Powerful AI technology
  • Patent DNA Extraction
Social media
Try Eureka
PatSnap group products

Browse by: Latest US Patents, China's latest patents, Technical Efficacy Thesaurus, Application Domain, Technology Topic.

© 2024 PatSnap. All rights reserved.Legal|Privacy policy|Modern Slavery Act Transparency Statement|Sitemap