子结构消元法在结构动力系统奇异控制中的应用

ACTA AERONAUTICAET ASTRONAUTICA SINICA ›› 1994, Vol. 15 ›› Issue (7): 787-793.

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THE APPLICATION OF THE SUBSTRUCTURAL CONDENSATION METHOD IN THE SINGULAR CONTROL OF STRUCTURAL DYNAMICSYSTEM

Deng Zichen, Ye Tianqi

Faculty 504, Northwestern Polytechnical University,Xi′an,710072;Research Institute of Engineering Mechanics,Dalian University of Technology, Dalian,116023

Received:1993-01-16 Revised:1993-10-09 Online:1994-07-25 Published:1994-07-25

Abstract

Abstract: The mathematical model of structural dynamic system is established and the singular control problem is studied. Based on the simulation relation between computational structural mechanics and optimal control,the mixed energy of the time-interval with the singular control is defined,the condensation formulas of the time-interval are formulated with the substructural condensation method, and then Riccati equation with the singularity is solved.Acorresponding example is also given.

Key words: singularity(mathematics), control, Riccati equation

CLC Number:

Deng Zichen;Ye Tianqi. THE APPLICATION OF THE SUBSTRUCTURAL CONDENSATION METHOD IN THE SINGULAR CONTROL OF STRUCTURAL DYNAMICSYSTEM[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 1994, 15(7): 787-793.

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THE APPLICATION OF THE SUBSTRUCTURAL CONDENSATION METHOD IN THE SINGULAR CONTROL OF STRUCTURAL DYNAMICSYSTEM

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