Minimal mass design of tensegrity structures

Kenji Nagase; R. E. Skelton

doi:10.1117/12.2044869

8 March 2014 Minimal mass design of tensegrity structures

Kenji Nagase, R. E. Skelton

Proceedings Volume 9061, Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems 2014; 90610W (2014) https://doi.org/10.1117/12.2044869
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2014, San Diego, California, United States

Abstract

This paper provides a unified framework for minimal mass design of tensegrity systems. For any given configuration and any given set of external forces, we design force density (member force divided by length) and cross-section area to minimize the structural mass subject to an equilibrium condition and a maximum stress constraint. The answer is provided by a linear program. Stability is assured by a positive definite stiffness matrix. This condition is described by a linear matrix inequality. Numerical examples are shown to illustrate the proposed method.

Citation Download Citation

Kenji Nagase and R. E. Skelton "Minimal mass design of tensegrity structures", Proc. SPIE 9061, Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems 2014, 90610W (8 March 2014); https://doi.org/10.1117/12.2044869

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