Least Squares Triangular Legendre Galerkin with Numerical Integral Method for Elliptic Equations

2019 ◽  
Vol 08 (02) ◽  
pp. 235-241
Author(s):  
梓奇 严
Keyword(s):  
Least Squares ◽  
Elliptic Equations ◽  
Integral Method ◽  
Numerical Integral

Stability Analysis Research of Modified CD-Newmark Numerical Integral Method in Seismic Pseudo-Dynamic Test

2014 ◽  
Vol 638-640 ◽  
pp. 1869-1872
Author(s):  
Xin Jiang Cai ◽  
Shi Zhu Tian
Keyword(s):  
Integral Method ◽  
Dynamic Test ◽  
Stable Condition ◽  
Small Time ◽  
Stability Conditions ◽  
Newmark Method ◽  
Time Step ◽  
Unconditionally Stable ◽  
Small Time Step ◽  
Numerical Integral

The characteristics of explicit numerical integral method is without iteration, and the characteristics of inexplicit numerical integral method is unconditionally stable. The traditional CD-Newmark method has the shortcoming of the bigger upper frequency leads to a small time step, a modified combined integral method named MCD-Newmark release the fixed DOF of numerical substructure, then obtained the parameters range of stable condition of experimental substructure, and the unconditionally stable of numerical substructure is also researched,then the strict stability conditions of the traditional CD-Newmark algorithm is resolved. The study provides reference for structural seismic test.

Researches on Rational Reinforcement of Equi-Limb L-Shaped Reinforced Concrete Columns

2013 ◽  
Vol 631-632 ◽  
pp. 759-764
Author(s):  
Chao Sun ◽  
Shu Li Zhao
Keyword(s):  
Reinforced Concrete ◽  
Nonlinear Analysis ◽  
Axial Compression ◽  
Integral Method ◽  
Concrete Columns ◽  
Experimental Results ◽  
Analysis Program ◽  
Reinforced Concrete Columns ◽  
Rational Reinforcement ◽  
Numerical Integral

A nonlinear analysis program for the capacity of L-shaped columns with numerical integral method is complied. Using the program, the Date of Mx-My curves under different axial compression ratios is obtained for five different reinforcement of equi-eimb L-shaped reinforced concrete columns.The maximum moments in various loading angles are analyzed, the cross-section’s ability to bear load influenced by different reinforcement is discussed, The rational reinforcement of equi-limb L-shaped reinforced concrete columns is derived. The date shows that the theoretical values and experimental results meet closely. Finally, Some suggestions in practice design for equi-limb L-shaped columns are given.

Study on Nonlinear Dynamic Characters of Rotor-Bearing System

2001 ◽  
Author(s):  
Songbo Xia ◽  
Xinjiang Zhang ◽  
Xinhua Wu ◽  
Genfa Xu
Keyword(s):  
Integral Method ◽  
Period Doubling ◽  
Poincaré Maps ◽  
Poincare Maps ◽  
Stable Operating ◽  
Jeffcott Rotor ◽  
Typical Parameter ◽  
The Stability ◽  
Chaos Motion ◽  
Numerical Integral

Abstract The stability of a rigid Jeffcott rotor system based on short-bearing model is study in a relatively wide parameter range using the Poincaré maps and numerical integral method. The results of calculation show that the period doubling bifurcation, quasi-periodic and chaos motions may be occurred. In some typical parameter regions the bifurcation diagrams, phase portrait, Poincaré maps and the frequency spectrums of the system are acquired with numerical integral method. They demonstrate some motion state of the system. The fractal dimension concept is used to determine whether the system is in a state of chaos motion. The analysis result of this paper provides the theoretical bases for qualitatively controlling the stable operating states of rotors.

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