Effects of initial form-finding models on shape, force paths, and buckling of anti-funicular shells with free edges

Pinto, Clemente; Fonseca, João

doi:10.1016/j.istruc.2019.10.024

Cited by 6 publications

(4 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Polymers 2024, 16, x FOR PEER REVIEW 3 of 15 bending forces [15]. The form-finding of membrane structures with SCB requires a method that can be applied to a structure partially anisotropic and the rest isotropic, which is not found in public literature.…”

Section: Establishment Of the Shear Compliant Border Mechanical Modelmentioning

confidence: 99%

“…In our model, the bulk modulus, k h , is calculated based on the assumption that the deformed membrane is an isotropic material, so that Equation ( 12) can be used to calculate k h . The assumption of Leifer's model, especially the applicability of Equation (15), is not plainly illustrated in the article [9]. Using the design parameters in Table 1, MATLAB R2023a calculates G zxc using our method in 6.37 × 10 −4 s, resulting in G zxc = 20.8066 MPa.…”

Section: Establishment Of the Shear Compliant Border Mechanical Modelmentioning

confidence: 99%

“…Le Meitour's method could be used to simulate the inflation of a zero pressure balloon made of anisotropic material. Pinto et al proposed a form-finding method based on finite element analysis and used their method to calculate the shape of an anisotropic thin shell under bending forces [15]. The form-finding of membrane structures with SCB requires a method that can be applied to a structure partially anisotropic and the rest isotropic, which is not found in public literature.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Configuration Design and Verification of Shear Compliant Border in Space Membrane Structure

Cao,

Liu,

Lin

et al. 2024

Polymers

View full text Add to dashboard Cite

To solve the non-uniformity of stress in space membrane structure and the lack of shear compliant border configuration design method, shear compliant borders are designed, optimized, and verified in terms of configuration. Firstly, an orthotropic model of the borders is built by combining Hill and Christensen-Lo composite material models. Secondly, a finite element form-finding method is put forward by establishing rectangular and cylindrical coordinates in different areas. The configuration of borders is obtained and the influence of the borders on the edge of the membrane is 0.23%, which means that the borders are compatible with the existing tensegrity systems, especially the tensioning components and the cable sleeves. Thirdly, simulation verifies that borders can cut the spread of shear stress and improve the stress uniformity in membrane structure. The maximum stress in the membrane effective area is decreased by 35.6% and the stress uniformity is improved by 30.5%. Finally, a membrane extension experiment is committed to compare the flatness of membrane surface under shear stress with and without shear compliant borders. The borders decrease the increment speed of flatness by 58.1%, which verifies the amelioration of stress uniformity. The shear compliant border configuration design method provides a reference for space membrane structure stress-uniform design.

show abstract

Section: Establishment Of the Shear Compliant Border Mechanical Modelmentioning

confidence: 99%

Section: Establishment Of the Shear Compliant Border Mechanical Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Configuration Design and Verification of Shear Compliant Border in Space Membrane Structure

Cao,

Liu,

Lin

et al. 2024

Polymers

View full text Add to dashboard Cite

show abstract

“…The curve is defined by the shape of a chain under a gravitational load that is uniformly distributed along its length. When the curve is inverted and constructed as a compression-only structure, some scholars call the structure "anti-funicular" (Pinto & Fonseca, 2020). However, other scholars also refer to compression-only structures as a subset of the generalized funicular structures (Ochsendorf & Block, 2014;"Funicular structure", 2021).…”

Section: Formmentioning

confidence: 99%

Design and Fabrication of Shell Structures

Chiang

2022

Architecture and the Built Environment

View full text Add to dashboard Cite

Shell structures carry loads with their thin yet curved shapes. Being thin means shells require little material, which is desirable for minimizing embodied carbon footprints. However, the feature of being curved implies shells require immense effort to design and fabricate. To address the challenges, this dissertation consists of three parts: developing a design algorithm based on radial basis functions (RBFs), inventing a fabrication technique based on reconfigurable mechanisms, and producing prototypes based on the new algorithm and mechanism. The first part of this dissertation introduces a new algorithm based on RBFs for designing smooth membrane shells, which is more versatile than existing methods. The algorithm can generate membranes with both tensile and compressive stresses. It can also tweak an initial shape to meet free-edge conditions. It can also incorporate horizontal loads in the form-finding process. The second part of the dissertation presents a new system of flat-to-curved mechanisms, which allows a shell to be fabricated in a flat configuration and deployed into a double-curved state. Such a mechanism consists of panels connected by tilted hinges. The mechanism can contract non-homogeneously and change its Gaussian curvature. The last part of this dissertation demonstrates the integral application of the RBFs form-finding algorithm and the flat-to-curved mechanisms. The prototypes designed and produced deliver form-found shapes that have spans ranging from 0.2 to 4 meters. This dissertation contributes to the development and distribution of shell structures by developing computer algorithms and digital fabrication techniques to minimize the hurdles of designing and fabricating shell structures.

show abstract