Geometry-driven filamentary structures : elastic gridshells, weaves, clasps, and knots

In this thesis, we cover four research topics in the realm of the mechanics of slender structures involving strong geometric constraints: elastic gridshells, triaxial weaves, elastic clasps, and elastic knots. These studies involve a combination of geometric reasoning, high-fidelity numerical simulations, and precision model experiments using scale-invariance and advanced imaging techniques (e.g., 3D laser scanning, and X-ray computed tomography). First, we study the shape and the mechanical response of elastic gridshells, the three-dimensional structure of which results from the out-of-plane buckling of an initially flat and biaxial network of rods. A purely geometric continuum model, originally introduced by Chebyshev for woven fabric, is used to describe the underlying kinematics and form-finding. The results suggest that rod inextensibility, rather than elasticity, is the primary factor that determines the shape of elastic gridshells.

Name thesis:degree_name

Doctoral

Department dc:contributor.department

Massachusetts Institute of Technology. Department of Mechanical Engineering

Grantor dc:publisher

Massachusetts Institute of Technology

Year dc:date.issued

2021

Author dc:creator

• Baek, Changyeob.

Advisor dc:contributor.advisor

• Pedro M. Reis.

• Mechanical Engineering.

Statement dc:rights

• MIT theses may be protected by copyright. Please reuse MIT thesis content according to the MIT Libraries Permissions Policy, which is available through the URL provided.

Licence dc:rights.uri

• http://dspace.mit.edu/handle/1721.1/7582

Language dc:language.iso

eng

Handle dc:identifier.uri

https://hdl.handle.net/1721.1/130841

OAI identifier oai:identifier

oai:dspace.mit.edu:1721.1/130841