Calculation of Frame Internal Force Based on MATLAB Matrix Displacement Method

Author(s):  
Hanlin Qi
2020 ◽  
Vol 319 ◽  
pp. 09003
Author(s):  
Xiaokun Chen

Based on the idea of the matrix displacement method, this paper designs a program which can be used to solve the internal force of the continuous beam and rigid frame with MATLAB. It mainly demonstrates how to design a program to realize the matrix displacement method with MATLAB. In addition, some techniques are included in order to realize the correspondence between the manual calculation and the computer calculation, such as “Using lambda to locate”, “Crossing out rows and columns” and visual design. Therefore, based on the structural mechanics, combined with the principle of matrix displacement method, this paper shows the whole process from inputting the information of the rigid frame to solving the internal force of the rigid frame to outputting the bending moment diagram using MATLAB as the programming tool.


2014 ◽  
Vol 580-583 ◽  
pp. 3042-3045
Author(s):  
Li Juan Cheng ◽  
Xin Chi Yan

Using matrix displacement method and the finite element method to calculate the internal force of the same frame, and then comparing the results. Meanwhile, due to the theory that SM Solver can calculate the exact solution of rigid frame structure forces, we use it to support our experiment. Finally, we succeed in calculating and proving that Matrix displacement method and the finite element method have the same result in solving the rigid frame structure forces.


2015 ◽  
Vol 744-746 ◽  
pp. 763-766
Author(s):  
Xun Wu ◽  
Bao Lei Li

The reasonable cable force is the key factor for the safe use of cable-stayed bridge. This paper adopts the method of continuous beam on rigid supports, zero displacement method and the internal force balanced method for cable force estimation of completion stage. The estimation value of cable force is determined by comprehensive considering various methods. With the estimate value as the initial cable force of feasible domain method, conducting the cable force optimization. Comparing the optimization with estimation value and conducting analysis calculation to ensure the rational completion status. Referring a cable-stayed bridge’s example, and conducting the estimation and optimization of cable force, the calculated results meet the requirements. The results show that the method is effective and practical.


2014 ◽  
Vol 501-504 ◽  
pp. 1524-1529
Author(s):  
De Yun Ding

With the increasing focus on the earthquake resistant problems of subway engineering, the response displacement method is used in the seismic design of subway structures. The determination method for coefficient of subgrade reaction in seismic design of subway structures is very important. Four typical determination methods including test method, Lis method, MIDAS method and finite element method are introduced. Based on the values of coefficient of subgrade reaction from four methods, models of the response displacement method are used to obtain the bending moment of the subway structures. The advantages and disadvantages of four determination methods for coefficient of subgrade reaction are compared. The results show that the test method is the preferred one for designers, the tangential coefficient should be in a range of one to two third of the normal coefficient, and the internal force of subway structures can be obtained by the test method and modified by a correction factor that is 1.05.


2011 ◽  
Vol 117-119 ◽  
pp. 112-117
Author(s):  
Hu Cheng ◽  
Xin Chi Yan

This article analyses the theories of two methods of matrix displacement and finite element, and the application of calculation in the actual structure. Then it explores the subtle differences between them: Matrix displacement method can only be used for analysis with known unit nodes force-unit nodes of the relationship between the displacement of the truss structure, and not the continuous body structure. The major differences between both are the establishment of the basic principle and solution of the emphasis. Establishing total stiffness matrix according to the geometric property of the structure and then forming integral force vector via loading conditions when matrix displacement method is used to solve the unit fixed-end force. It’s necessary to stack fixed end force; While finite element method mainly bases on the known load and the material nature of structure after structure discretization. Node force or node stress is directly got by the derivation of displacement, but the fixed end force is lost, which dropping the accuracy of the stress. To solve plane frame structure and get structural internal force, the distinguish is checked on the example.


2021 ◽  
Vol 11 (5) ◽  
pp. 2225
Author(s):  
Fu Wang ◽  
Guijun Shi ◽  
Wenbo Zhai ◽  
Bin Li ◽  
Chao Zhang ◽  
...  

The steel assembled support structure of a foundation pit can be assembled easily with high strength and recycling value. Steel’s performance is significantly affected by the surrounding temperature due to its temperature sensitivity. Here, a full-scale experiment was conducted to study the influence of temperature on the internal force and deformation of supporting structures, and a three-dimensional finite element model was established for comparative analysis. The test results showed that under the temperature effect, the deformation of the central retaining pile was composed of rigid rotation and flexural deformation, while the adjacent pile of central retaining pile only experienced flexural deformation. The stress on the retaining pile crown changed little, while more stress accumulated at the bottom. Compared with the crown beam and waist beam 2, the stress on waist beam 1 was significantly affected by the temperature and increased by about 0.70 MPa/°C. Meanwhile, the stress of the rigid panel was greatly affected by the temperature, increasing 78% and 82% when the temperature increased by 15 °C on rigid panel 1 and rigid panel 2, respectively. The comparative simulation results indicated that the bending moment and shear strength of pile 1 were markedly affected by the temperature, but pile 2 and pile 3 were basically stable. Lastly, as the temperature varied, waist beam 2 had the largest change in the deflection, followed by waist beam 1; the crown beam experienced the smallest change in the deflection.


RSC Advances ◽  
2021 ◽  
Vol 11 (4) ◽  
pp. 2226-2234
Author(s):  
Ana María Pineda-Reyes ◽  
Mauricio Hernández Delgado ◽  
María de la Luz Zambrano-Zaragoza ◽  
Gerardo Leyva-Gómez ◽  
Nestor Mendoza-Muñoz ◽  
...  

A novel solvent emulsification-displacement method for obtaining polystyrene nanoparticles is reported. This process has an added value and can be an alternative for the recycling of expanded polystyrene.


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