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- W2317777098 abstract "This study computes the natural frequencies and corresponding mode shapes of two tensegrity structures using a linearized perturbation approach that takes into account nonlinear geometric deformation. The natural frequencies are presented with respect to the critical buckling load. To maintain structural stability, a tensegrity structure requires a preload on the tension members. Initially, as the tension force increases from zero for these structures, the natural frequencies also increase. In theory, the change in natural frequency for a linear structure should be proportional to the square of the preload. As the deformation increases beyond the linear region, the structure begins to degrade in stiffness as the compression load approaches the buckling limit of the struts. This results in a decrease of the natural frequencies as the tension is increased beyond the linear region. Ultimately, excessive tension leads to buckling of the struts. This analysis found that the first mode natural frequencies of the 6-6 tensegrity structure computed with respect to loading the strut to 10%, 30% and 50% of the strut’s critical buckling load were 0.25 Hz, 0.43 Hz, and 0.54 Hz, respectively. For the first four modes and up to 50% of the preload, the frequency does indeed change as a square root of the preload force change. Beyond 50% loading, the degradation of stiffness due to compressive loading in the strut becomes apparent as the natural frequencies do not increase as a square root of the preload force change. The first mode natural frequencies of the enhanced tensegrity structure computed were slightly higher (0.28 Hz, 0.47 Hz, and 0.60 Hz, respectively). The enhanced 6-6 structure exhibited similar weakness in the buckling of the strut." @default.
- W2317777098 created "2016-06-24" @default.
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- W2317777098 date "2015-01-02" @default.
- W2317777098 modified "2023-09-26" @default.
- W2317777098 title "Tensegrity Structure Modal Analysis Using a Linear Perturbation Approach" @default.
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- W2317777098 doi "https://doi.org/10.2514/6.2015-2058" @default.
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