Transfer matrix method for the determination of the natural vibration characteristics of realistic thrusting launch vehicle -- part I
type: Item
instance of: scholarly article
title: Transfer matrix method for the determination of the natural vibration characteristics of realistic thrusting launch vehicle -- part I
zbMATH Open document ID: 1299.74073
DOI: 10.1155/2013/764673
author: Laith K. Abbas
author: Min-Jiao Li
author: Xiao-Ting Rui
published in: Mathematical Problems in Engineering
publication date: 2014-11-24T00:00:00Z
review text: Summary: The feasibility of using the transfer matrix method (TMM) to compute the natural vibration characteristics of a flexible rocket/satellite launch vehicle is explored theoretically. In the approach to the problem, a nonuniform free-free Timoshenko and Euler-Bernoulli beamlike structure is modeled. A provision is made to take into consideration the effects of shear deformation and rotary inertia. Large thrust-to-weight ratio leads to large axial accelerations that result in an axial inertia load distribution from nose to tail which causes the development of significant compressive forces along the length of the launch vehicle. Therefore, it is important to take into account this effect in the transverse vibration model. Once the transfer matrix of a single component has been obtained, the product of all component matrices composes the matrix of the entire structure. The frequency equation and mode shape are formulated in terms of the elements of the structural matrices. Flight test and analytical results validate the present TMM formulas.
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 6373068
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/764673
OpenAlex ID: W2044667761
Wikidata QID: Q59029131
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description: scientific article; zbMATH DE number 6373068