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MODELING AND ANALYSIS OF A COUPLED RIGID_FLEXIBLE SYSTEM

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Applied Mathematics and Mechanics(English Edition) 1999年第10期20卷 1167-1174页

作者：胡振东洪嘉振 Department of Engineering Mechanics Shanghai Jiaotong University Shanghai P R China

Correct predictions of the behavior of flexible bodies undergoing large rigid-body motions and small elastic vibrations is a subject of major concern in the field of flexible multibody system dynamics. Because of failing to account for the effects of dynamic stiffening, conventional methods based on the linear theories can lead to erroneous results in many practical applications. In this paper, the idea of 'centrifugal potential field', which induced by large overall rotation is introduced, and the motion equation of a coupled rigid-flexible system by employing Hamilton's principle is established. Based on this equation, first it is proved that the elastic motion of the system has periodic property, then by using Frobenius' method its exact solution is obtained. The influences of large overall rigid motion on the elastic vibration mode shape and frequency are analysed through the numerical examples.

关键词： coupled rigid-flexible system dynamic stiffening rigid-body motion elastic vibration periodic property

TIME DEPENDENT elastic SYSTEM

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Acta Mathematica Scientia 1995年第S1期15卷 39-52页

作者：李胜家 Department of Mathematics Shanxi University Taiyuan 030006 China

In this paper. we structure an evolution system U(t,s), 0 s t<, and prove that the hyperbolic equation corresponding to the elastic vibration caused by the slender fiying vehicle exists a unique solution and also g... 详细信息

In this paper. we structure an evolution system U(t,s), 0 s telastic vibration caused by the slender fiying vehicle exists a unique solution and also give the aspoptotic behavior of the solution.

关键词： elastic vibration Damping Asymptotic stability.

Space elastic Modal Modeling and Control of A New Generation Solid Bundled Rocket

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Aerospace China 2022年第2期23卷 9-15页

作者： Hong Gang XIN Gaobo LIU Yuxi XUE Yu SONG Pan YANG Xinru Shanghai Academy of Spaceflight Technology Shanghai 201109 Shanghai Institute of Aerospace Systems Engineering Shanghai 201109

In this paper,based upon the characteristics of elastic modal combination of large solid bundled launch vehicles,the finite element theory is used to describe the complex elastic vibration of a solid bundled launch vehicle,and a new three-channel unified elastic vibration equation was *** elastic vibration equation can reflect the coupling between channels and between boosters and core *** issues need consideration in the theoretical derivation,an engineering application was proposed,and the elastic vibration model was *** results of the theoretical derivation and simulation show that the elastic vibration equation of a solid bundled launch vehicle established in the paper is correct and can meet the needs for the engineering application.

关键词： solid bundled rocket finite element elastic vibration coupling