Spatial-temporal discrete coordination of fem and direct integral method for transient dynamic problems

1994 ◽  
Vol 15 (12) ◽  
pp. 1169-1175
Author(s):  
Wang Huai-zhong
Keyword(s):  
Integral Method ◽  
Dynamic Problems ◽  
Direct Integral ◽  
Transient Dynamic ◽  
Direct Integral Method

scholarly journals Theory of temporal aberrations for electron optical imaging systems by direct integral method

2005 ◽  
Vol 54 (8) ◽  
pp. 3591
Author(s):  
Zhou Li-Wei ◽  
Li Yuan ◽  
Zhang Zhi-Quan ◽  
Monastyrski M. A. ◽  
Schelev M. Y.
Keyword(s):  
Optical Imaging ◽  
Integral Method ◽  
Imaging Systems ◽  
Direct Integral ◽  
Direct Integral Method

A New Method of Calculating Transient Response of Complex Rotors

2004 ◽  
Author(s):  
Lin Li ◽  
Bao Feng Wang
Keyword(s):  
Transfer Coefficient ◽  
Transfer Matrix ◽  
Transient Response ◽  
Integral Method ◽  
Stable State ◽  
Rotor System ◽  
Initial Time ◽  
Direct Integral ◽  
Rotor Systems ◽  
Direct Integral Method

In this paper the ‘transfer coefficient-direct integral method’ is developed to analysis of transient response of rotor systems, especially for non-linear rotor systems. The main difference from the classical transfer matrix-direct integral method rests with the introduction of complex modal analysis corresponding to positive and negative whirling frequencies, and after obtaining the critical speed and the corresponding vibration modes by the transfer coefficient method it is no longer necessary to do transfer calculation (but in classical transfer matrix-direct integral method, after every integral step, it is necessary to do a transfer calculation through the whole rotor system). In the transfer coefficient-direct integral method, corresponding every integral step it is only a linear transformation between the real displacements and the modal displacements. It makes the transfer calculation and the direct integral become two independent steps of the calculation. Each step fully takes advantages of the method correspondent. The whole analysis procedure is then greatly simplified. The paper gives, at first, the principle of the transfer coefficient-direct integral method. After this, the transient response of a co-axial double rotor system with a squeeze film damper is calculated by the method. The response history of the system from an initial time to stable state is given.

On the theory of temporal aberrations for electron optical imaging systems by using direct integral method

2005 ◽  
Author(s):  
Liwei Zhou ◽  
Yuan Li ◽  
Zhiquan Zhang ◽  
Mikhail A. Monastyrskiy ◽  
Mikhail Y. Schelev
Keyword(s):  
Optical Imaging ◽  
Integral Method ◽  
Imaging Systems ◽  
Direct Integral ◽  
Direct Integral Method

scholarly journals The direct integral method for confidence intervals for the ratio of two location parameters

Biometrics ◽  
2015 ◽  
Vol 71 (3) ◽  
pp. 704-713 ◽  
Author(s):  
Yanqing Wang ◽  
Suojin Wang ◽  
Raymond J. Carroll
Keyword(s):  
Confidence Intervals ◽  
Integral Method ◽  
Direct Integral ◽  
Location Parameters ◽  
Direct Integral Method
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