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An optimization-based method for reshaping tensegrity structures towards target configurations
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DOI：10.1016/j.istruc.2025.108733.png)
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Abstract
En 中文
This study proposes a general method for reshaping tensegrity structures, aimed at exploring the latent equilibrated configurations that are as close as possible to the target configurations. The procedure is divided into two stages: First, an effective computational framework for reshaping tensegrities is formulated as a constrained nonlinear programming model, which simultaneously incorporates force densities and nodal coordinates as design variables while using the positional deviation from the target configuration as the objective function. Second, for the resulting configurations, a stability-based post-processing module is developed to ensure that only stable configurations are retained. Within this module, prestress optimizations are performed using a semidefinite programming model that accounts for stability conditions. Four illustrative examples, including both self-stressed and non-self-stressed tensegrity structures, are presented to validate the effectiveness of the proposed method in different application scenarios. Results show that the proposed method can readily identify satisfactory solutions aligning well with customized design requirements across various scenarios, suggesting its superior versatility and practicality. This study offers valuable insights into addressing the shape controldominated form-finding problem and shows potential for application not only to tensegrity structures but also to other prestressed pin-jointed systems.
Keywords:
Tensegrity structures
Reshaping
Form-finding
Configuration design
Prestress determination
Journal
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4.3
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