Analysis Of Transverse Vibration Of Axially Moving Beam

Since the 20 th century,the aerospace field has increasingly become an important field among countries game,but also with a country's national defense strength and international status.Many spacecrafts have axial motion in their appendages,which causes them to vibrate laterally and thus affects the accuracy and reliability of system operation.Therefore,it is of great significance to study the transverse vibration of axially moving beams.In this paper,on the basis of reading a large number of literatures,the research status of transverse vibration of axial moving beam at home and abroad,as well as the existing problems,and according to the existing problems,made the following research.Firstly,two ways of establishing the dynamic equation of transverse vibration of the axially moving beam are described.This paper introduces two kinds of description of axially moving beam in detail(Euler description and Lagrangian description),and analyzes the difference and relation between them.Secondly,element free galerkin method for axial movement of the cantilever beam calculation formula is derived,using the Hamilton principle is deduced under the Lagrangian coordinates of the axial movement of beam dynamics equations of transverse vibration,and adopts the GMLS to discrete dynamics equation,the shape function using the shape function IGMLS true the whole domain interpolation performance of node information system of equations,and a calculation is made for instance.Then,taking thin straight beam as the research object,using the idea of deriving the bending vibration equation of traditional cantilever beam from the continuum vibration theory,the formula of calculating the dynamic response of axially moving cantilever beam based on the modal superposition method of continuum is derived.By using MATLAB software,the transverse vibration response of axial moving beam with uniform speed,variable speed,simple harmonic speed and loading is calculated,and the effects of velocity and load and period amplitude of simple harmonic motion on the vibration response of axial moving beam are obtained.