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
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
CN109299540AInactive Publication Date: 2019-02-01CHONGQING UNIV
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[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...
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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...
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Patent Timeline
01 Feb 2019
Publication
CN109299540A
- IPC
- G06F17/50
- CPC
- G06F30/20; G06F2119/06
- Inventors
- 杨永斌; 陈朝晖