Form-Finding and Free Vibration Analysis of a Class-One Triplex Tensegrity Prism

This paper deals with form-finding and free vibration analysis of a pre-stressed class-one triplex tensegrity structure. The form-finding is performed via a two-step procedure, the nodal coordinates connectivity matrix, and structural element force density determination. Accordingly, the possible st...

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Main Authors: Milad َAzimi, Samad Moradi
Format: Article
Language:fas
Published: Aerospace Research Institute 2023-08-01
Series:فصلنامه علوم و فناوری فضایی
Subjects:
Online Access:https://jsst.ias.ir/article_179020_6656e3e6cffabaffcd84e67e0e129dbf.pdf
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author Milad َAzimi
Samad Moradi
author_facet Milad َAzimi
Samad Moradi
author_sort Milad َAzimi
collection DOAJ
description This paper deals with form-finding and free vibration analysis of a pre-stressed class-one triplex tensegrity structure. The form-finding is performed via a two-step procedure, the nodal coordinates connectivity matrix, and structural element force density determination. Accordingly, the possible states for the nodal coordinates and the structural force density of the triplex prism have been determined by trial and error (based on topology and member type knowledge) to satisfy the force density, and equilibrium matrices rank requirements. Based on different structural topologies, the equation of the motion in the frequency domain for free vibration analysis of the system is derived using the spectral element approach and dynamic shape functions. Simulations are provided for different system heights and the top-bottom aria ratios and compared with the FEM. The numerical simulations in the form of a comparative study of the natural frequencies of triplex tensegrity prism with different heights and cross-sections represent the system’s robustness with different topologies for single or multi-stage applications.
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spelling doaj.art-d0085b08a02f4b3bbf90273bb41929e12024-05-15T11:59:18ZfasAerospace Research Instituteفصلنامه علوم و فناوری فضایی2008-45602423-45162023-08-01163152610.30699/jsst.2023.1349179020Form-Finding and Free Vibration Analysis of a Class-One Triplex Tensegrity PrismMilad َAzimi0Samad Moradi1Aerospace Research Institute of Iran, Ministry of Science, Technology and Research, Tehran, IranM.Sc., Islamic Azad University, North Tehran Branch, Tehran, IranThis paper deals with form-finding and free vibration analysis of a pre-stressed class-one triplex tensegrity structure. The form-finding is performed via a two-step procedure, the nodal coordinates connectivity matrix, and structural element force density determination. Accordingly, the possible states for the nodal coordinates and the structural force density of the triplex prism have been determined by trial and error (based on topology and member type knowledge) to satisfy the force density, and equilibrium matrices rank requirements. Based on different structural topologies, the equation of the motion in the frequency domain for free vibration analysis of the system is derived using the spectral element approach and dynamic shape functions. Simulations are provided for different system heights and the top-bottom aria ratios and compared with the FEM. The numerical simulations in the form of a comparative study of the natural frequencies of triplex tensegrity prism with different heights and cross-sections represent the system’s robustness with different topologies for single or multi-stage applications.https://jsst.ias.ir/article_179020_6656e3e6cffabaffcd84e67e0e129dbf.pdfclass-one tensegrityform-findingnatural frequencyspectral elementvibration
spellingShingle Milad َAzimi
Samad Moradi
Form-Finding and Free Vibration Analysis of a Class-One Triplex Tensegrity Prism
فصلنامه علوم و فناوری فضایی
class-one tensegrity
form-finding
natural frequency
spectral element
vibration
title Form-Finding and Free Vibration Analysis of a Class-One Triplex Tensegrity Prism
title_full Form-Finding and Free Vibration Analysis of a Class-One Triplex Tensegrity Prism
title_fullStr Form-Finding and Free Vibration Analysis of a Class-One Triplex Tensegrity Prism
title_full_unstemmed Form-Finding and Free Vibration Analysis of a Class-One Triplex Tensegrity Prism
title_short Form-Finding and Free Vibration Analysis of a Class-One Triplex Tensegrity Prism
title_sort form finding and free vibration analysis of a class one triplex tensegrity prism
topic class-one tensegrity
form-finding
natural frequency
spectral element
vibration
url https://jsst.ias.ir/article_179020_6656e3e6cffabaffcd84e67e0e129dbf.pdf
work_keys_str_mv AT miladazimi formfindingandfreevibrationanalysisofaclassonetriplextensegrityprism
AT samadmoradi formfindingandfreevibrationanalysisofaclassonetriplextensegrityprism