Dynamic Modelling and Performance Analysis of Deployable Telescopic Tubular Mast

Aerotecnica Missili & Spazio Pub Date : 2024-09-27 DOI:10.1007/s42496-024-00234-4

Tongtong Sun, Paolo Gasbarri, Lin Du, Zichen Deng

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Abstract

This work presents the longitudinal and transverse coupling vibrations of a deployable Telescopic Tubular Mast (TTM), a multi-stepped structure integrated into a spacecraft system, while considering the rigid-flexible coupling phenomenon. The model is derived using the principle of virtual work and discretized via the variable separation method. The von Kármán strain is employed to incorporate geometric nonlinear effects. Semi-analytical results for the shape functions and natural frequencies of the quasi-static multi-stepped boom are obtained using the extended transfer matrix method (ETMM). These natural frequencies are validated against results from Nastran, confirming the ETMM's accuracy. In addition, the model accounts for the continuously changing natural frequencies and shape functions during the deployment phase. Finally, the dynamic phenomena of the longitudinal and transverse displacements are analyzed at various deploying states, including locking and restart behaviors. The influence of the structural damping on the vibration evolution is also contained in the numerical analysis.

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可展开伸缩管状桅杆的动力学建模与性能分析

在考虑刚柔耦合现象的情况下，研究了集成在航天器系统中的多级可展开伸缩管状桅杆（TTM）的纵向和横向耦合振动。该模型采用虚功原理推导，并采用变量分离法进行离散化。采用von Kármán应变来考虑几何非线性效应。利用扩展传递矩阵法得到了准静态多阶臂的形状函数和固有频率的半解析结果。这些固有频率与Nastran的结果进行了验证，证实了ETMM的准确性。此外，该模型考虑了在部署阶段不断变化的固有频率和形状函数。最后，分析了不同展开状态下的纵向和横向位移动态现象，包括锁紧和重启行为。数值分析中还考虑了结构阻尼对振动演化的影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Aerotecnica Missili & Spazio

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