The development of space mission requires the lightweight, large deploying-to-folding ratios and high-precision deployable structures. The tape-spring hinge can achieve a deflection of 180 deg within a 5% elastic deformation range. For one triangular prism mast (TPM) with the tape-spring hinges, the equivalent beam model for the TPM is derived using an energy equivalence method. The node deflections’, geometrical parameters’, and material properties’ relationship between the TPM and equivalent model are built based on the structural features. The strain and kinematic energy equations of the key points are derived by the equivalent model. The stiffness and mass matrices of the equivalent model are obtained. In addition, the modal of the TPM in free vibration modes is analyzed based on the Timoshenko continuum beam theory, and natural frequencies are solved. Two TPM units are developed to validate the precision of the continuum beam equivalent model. A model test is conducted at the cantilever position, and the finite element (FE) model of the two TPM units is modified. Subsequently, the modeling approach of the two TPM units is applied to establish the FE model of the 10 TPM units. Moreover, the accuracy of the continuum beam equivalent theoretical model is verified.

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Volume 59, Number 2February 2021

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This work was supported in part by the National Natural Science Foundation of China under grant 51975001, in part by the Key Funds of the National Natural Science Foundation of China under grant 51835002, and in part by the Joint Funds of the National Natural Science Foundation of China under grant U1637207.

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Received8 January 2020
Accepted25 August 2020
Published online11 November 2020

Equivalent Dynamic Model for Triangular Prism Mast with the Tape-Spring Hinges

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