A Numerical Calculation by Finite Difference Method for Free Vibration Problem of Axisymmetric Shells

1971 ◽  
Vol 74 (629) ◽  
pp. 766-774
Author(s):  
Minoru HAMADA ◽  
Katsuo MIYATA
Keyword(s):  
Numerical Calculation ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Free Vibration ◽  
Difference Method ◽  
Vibration Problem ◽  
Axisymmetric Shells

Use of Finite Difference Method in the Study of Stepped Beams

1998 ◽  
Vol 26 (1) ◽  
pp. 11-24 ◽  
Author(s):  
A. Krishnan ◽  
Geetha George ◽  
P. Malathi
Keyword(s):  
Differential Equation ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Free Vibration ◽  
Difference Method ◽  
Geometric Properties ◽  
Stepped Beam

The analysis of stepped beams using finite difference method normally is carried by use of a single differential equation. Whenever the step is a node, numerical values of average geometric properties are taken for computation. It is expected that, with finer meshes, the solution will converge to an acceptable one. Free vibration studies carried out on a stepped beam do not confirm this expectation. The numerical values converge; but to wrong ones. Some details are presented in this paper.

Based on Rheological to Calculate Anchor Parameter for Foundation Pit

2012 ◽  
Vol 538-541 ◽  
pp. 665-668
Author(s):  
Xin Wen Suo ◽  
Chen Min Gu
Keyword(s):  
Shear Stress ◽  
Numerical Calculation ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Strain Rate ◽  
Difference Method ◽  
Rheological Model ◽  
Shear Strain Rate ◽  
Axial Distribution ◽  
Foundation Pit

Pointed to character of rheological mechanics and limited equilibrium method, a new viso-elasto-plastic rheological model is builded with minimum locked load formula abtained.The finite difference method with C++ and inline FISH program ,is applied to analyze engineering instance. Based on calculated results and testing on spot, plentiful key parameters on whole bonged and prestressed bolt is studied.Lastly,the conclusions are open out ,including minimum locked loading,stress and maximal axial distribution of prestressed steal, hump distribution of shear stress on grount,shear strain rate of surface and displacement of reinforced foundation pit and so on.The numerical calculation is coincident with testing factors.

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