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Thermally Induced Vibration Analysis of Flexible Beams Based on Isogeometric Analysis

Jianchen Wu1, Yujie Guo1,*, Fangli Wang1,2

1 College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China
2 School of Mechanical Engineering, Jinling Institute of Technology, Nanjing, 211169, China

* Corresponding Author: Yujie Guo. Email:

Computer Modeling in Engineering & Sciences 2021, 128(3), 1007-1031.


Spacecraft flexible appendages may experience thermally induced vibrations (TIV) under sudden heating loads, which in consequence will be unable to complete their intended missions. Isogeometric analysis (IGA) utilizes, in an isoparametric concept, the same high order and high continuity non-uniform rational B-splines (NURBS) to represent both the geometry and the physical field of the structure. Compared to the traditional Lagrange polynomial based finite element method where only C0-continuity across elements can be achieved, IGA is geometrically exact and naturally fulfills the C1-continuity requirement of Euler–Bernoulli (EB) beam elements, therefore, does not need extra rotational degrees-of-freedom. In this paper, we present a thermally induced vibration analysis framework based on the isogeometric method where thermal and structural behaviors are coupled. We fully exploited the higher order, higher continuous and geometric exactness of the NURBS basis with both benchmarks and sophisticated problems. In particular, we studied the thermally induced vibrations of the Hubble Space Telescope (HST) solar panel where main factors influencing thermal flutters are studied, and where possible improvements of the analytical reference methods are discussed. Additionally, thermally induced vibrations of the thin-walled lenticular tubes are studied and two new configurations of the tube are proposed to effectively suppress the thermally induced vibrations. Numerical examples of both benchmarks and sophisticated problems confirm the accuracy and efficiency of the isogeometric analysis framework for thermally induced vibration analysis of space structures.


Cite This Article

Wu, J., Guo, Y., Wang, F. (2021). Thermally Induced Vibration Analysis of Flexible Beams Based on Isogeometric Analysis. CMES-Computer Modeling in Engineering & Sciences, 128(3), 1007–1031.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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