Precise Transfer Matrix Method for Plane-Bucking Analysis of Circular Arch

2010 ◽  
Vol 163-167 ◽  
pp. 279-282
Author(s):  
Jian Peng Sun ◽  
Qing Ning Li
Keyword(s):  
Differential Equation ◽  
Critical Load ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Buckling Analysis ◽  
Theoretical Solution ◽  
New Method ◽  
Uniform Load ◽  
Circular Arch

Arch bridge as well as arch frame of building is òne kind of plane-curved-bar system of bearing pressure.When the load of arch carrying reaches some value, the arch will lost the balance stability. Based on the theory of precise transfer matrix method and differential equation of circular arch in plane, a new method for plane-buckling analysis of circular arch under uniform load is derived, by which the critical load of circular arch with two hinge supports is calculated. Compared with the theoretical solution, they anastomosed each other well, that shows the method is right and effective.

scholarly journals Precise transfer matrix method for solving differential equation systems

2018 ◽  
Author(s):  
X. G. Zhang ◽  
Q. Zhang ◽  
J. P. Sun ◽  
T. Wang ◽  
Z. P. Song ◽  
...  
Keyword(s):  
Differential Equation ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method

About the Bending Calculus for Circular Tapping Plates, Embedded at the Interior Circumference, with Uniform Load at all the Crown by Transfer-Matrix Method

2013 ◽  
Vol 325-326 ◽  
pp. 218-222
Author(s):  
Mihaela Suciu
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
State Vector ◽  
Matrix Method ◽  
The State ◽  
Vertical Load ◽  
Circular Plates ◽  
Uniform Load ◽  
Ring Elements

This article presents the bending calculus of the circular tapping plates, embedded at the interior circumference, free at the exterior circumference, charged with an uniform vertical load at the all the crown, using the Transfer-Matrix Method. This method had the mathematical bases in the theory of Diracs and Heavisides functions and operators. The circular plates calculus is very important for its applications in the mechanical, robotic, medical, military and aerospace industries. First, we can obtain the state vector for the first ring, the exterior circumferential element and the state vector for the latest ring, the interior circumferential element. After, we can calculate for the values r0<r<R, all the state vectors for all the ring elements of the circular tapping plate by Transfer-Matrix Method. With this method is very easy to program this algorithm for the bending calculus of the circular tapping plates.

scholarly journals Semi-Analytical Finite Strip Transfer Matrix Method for Buckling Analysis of Rectangular Thin Plates

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Li-Ke Yao ◽  
Bin He ◽  
Yu Zhang ◽  
Wei Zhou
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Buckling Analysis ◽  
Thin Plates ◽  
System Matrix ◽  
Engineering Structures ◽  
Finite Strip ◽  
Main Components ◽  
Global Stiffness Matrix

Plates and shells are main components of modern engineering structures, whose buckling analysis has been focused by researchers. In this investigation, rectangular thin plates with loaded edges simply supported can be discretized by semi-analytical finite strip technology. Then the control equations of the strip elements of the buckling plate will be rewritten as the transfer equations by transfer matrix method. A new approach, namely semi-analytical Finite Strip Transfer Matrix Method, is developed for the buckling analysis of plates. This method requires no global stiffness matrix of the system, reduces the system matrix order, and improves the computational efficiency. Comparing with some theoretical results and FEM’s results of two illustrations (the plates and the ribbed plates) under six boundary conditions, the method is proved to be reliable and effective.

scholarly journals The New Method of Analyzing the Continuous Curved Flat Bar Subject to Space Load

2019 ◽  
Vol 8 (2) ◽  
pp. 3620-3626
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Linear Analysis ◽  
New Method ◽  
Method Transfer ◽  
The Matrix ◽  
Math Problems

The report presents a new method for linear analysis of continuous curved flat bar, subject to any load in space. This method is a combination of improving the expression of the load and displacement at the two ends of the curved bar element of the Transfer Matrix Method and Finite Element Method (TMMFEM), called the Matrix Method transfer improvements. The research results are to build math problems and programming with Matlab, verify with the results according to SAP2000 oftware and « Strength of materials » documents

Bending Study for Axially Symmetric Tapping Plates with Uniform Load at All Crown by Transfer-Matrix Method

2012 ◽  
Vol 463-464 ◽  
pp. 16-19
Author(s):  
Mihaela Suciu
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
State Vector ◽  
Matrix Method ◽  
The State ◽  
Circular Plates ◽  
Axially Symmetric ◽  
Uniform Load ◽  
Important Possibility

This paper presents a study of the axially symmetric plates, charged with uniform load by Transfer-Matrix Method. The analytical calculus is based of the theory of Dirac’s and Heaviside’s functions and operators. That is an important possibility to result the circular plates, with the opportunity to program the calculus to obtain the eight elements of the exterior circumference state vector and for the interior circumference state vector of a tapping plate. After, we can calculate for all the values r0<r<R, all the elements for the state vectors.

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