Optimization of cross-section of actively bent grid shells with strength and geometric compatibility constraints

D’Amico, Bernardino; Kermani, Abdy; Zhang, Hexin; Shepherd, Paul; Williams, Chris

doi:10.1016/j.compstruc.2015.04.006

Cited by 18 publications

(16 citation statements)

References 20 publications

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“…Such complex shapes are also conceivable with selfshaping. However, in this context, the programming of self-shaping gridshells by numerical analysis will need to be integrated in application-based form-finding procedures that are traditionally used for standard design of gridshell geometry under service loading conditions [51][52][53][54][55][56]. Especially, the minimizing of overall strain energy, here induced by the self-shaping, and with it the additional contributions of in-plane bending moments identified above, might be relevant for form-finding design [57].…”

Section: Resultsmentioning

confidence: 99%

Computational analysis of hygromorphic self-shaping wood gridshell structures

et al. 2020

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Bi-layered composites capable of self-shaping are of increasing relevance to science and engineering. They can be made out of anisotropic materials that are responsive to changes in a state variable, e.g. wood, which swells and shrinks by changes in moisture. When extensive bending is desired, such bilayers are usually designed as cross-ply structures. However, the nature of cross-ply laminates tends to prevent changes of the Gaussian curvature so that a plate-like geometry of the composite will be partly restricted from shaping. Therefore, an effective approach for maximizing bending is to keep the composite in a narrow strip configuration so that Gaussian curvature can remain constant during shaping. This represents a fundamental limitation for many applications where self-shaped double-curved structures could be beneficial, e.g. in timber architecture. In this study, we propose to achieve double-curvature by gridshell configurations of narrow self-shaping wood bilayer strips. Using numerical mechanical simulations, we investigate a parametric phase-space of shaping. Our results show that double curvature can be achieved and that the change in Gaussian curvature is dependent on the system’s geometry. Furthermore, we discuss a novel architectural application potential in the form of self-erecting timber gridshells.

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Section: Resultsmentioning

confidence: 99%

Computational analysis of hygromorphic self-shaping wood gridshell structures

et al. 2020

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“…The following references have been included in this category: Li and Knippers, 29 D'Amico et al, 30 D'Amico et al 31 and Senatore and Piker. 32 They base on previous work by Williams thoroughly explained in Adriaenssens.…”

Section: Finite-element Discretizationsmentioning

confidence: 99%

Mechanical models in computational form finding of bending-active structures

Lázaro

Bessini

Monleón

2018

International Journal of Space Structures

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This article reviews the different aspects involved in computational form finding of bending-active structures based on the dynamic relaxation technique. Dynamic relaxation has been applied to form-finding problems of bending-active structures in a number of references. Due to the complex nature of large spatial deformations of flexible beams, the implementation of suitable mechanical beam models in the dynamic relaxation algorithm is a non-trivial task. Type of discretization and underlying beam theory have been identified as key aspects for numerical implementations. References can be classified into two groups depending on the selected discretization: finite-difference-like and finite-element-like. The first group includes 3-and 4-degree-of-freedom implementations based on increasingly complex beam models. The second gathers 6-degree-of-freedom discretizations based on co-rotational three-dimensional Kirchhoff-Love beam elements and geometrically exact Reissner-Simo beam elements. After reviewing and comparing implementation details, the advantages and drawbacks of each group have been discussed, and open aspects for future work have been pointed out.

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“…A simple test is provided in here to assess the accuracy of the 3 Dof formulation in comparison to a co-rotational beam-element with 6 DoF (described in [48]): A 10 m long cantilever beam is subjected to a vertical loadP = 1 kN at its free end. Table 1.…”

Section: Cantilever Beammentioning

confidence: 99%

A finite-difference formulation of elastic rod for the design of actively bent structures

D’Amico

Zhang

Kermani

2016

Engineering Structures

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A discrete formulation of elastic rod has been tailored for the particular design task of geometric modelling, form finding and analysis of actively bent structural systems. The rod element is fully described by using vector based quantities, hence making it easy to implement and be suitable for explicit resolution methods such as the Dynamic Relaxation (DR). From this point of view, the model under consideration aims to provide a natural enhancement, of existing DR schemes of elastic rods, primarily formulated for analysis/design of stressed spline structures with isotropic cross-section, whilst, the proposed formulation allows for the general case of initially straight rods with anisotropic cross-section and torsional stiffness effects, to be taken into consideration. In order to avoid numerical conditioning problems, the method adopts a reduced Degrees of Freedom approach, however, the design limitations usually involved with such an approach, are 'removed' by adopting the Bishop theory of framed curves, hence making it possible to reduce to only three (translations) the Degrees of Freedom to be explicitly computed by numerical integration of the corresponding acceleration terms.

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Optimization of cross-section of actively bent grid shells with strength and geometric compatibility constraints

Abstract: Optimization of cross-section of actively bent grid shells with strength and geometric compatibility constraints, Computers and Structures, 154 (2015) 163-176.

Cited by 18 publications

References 20 publications

Computational analysis of hygromorphic self-shaping wood gridshell structures

Computational analysis of hygromorphic self-shaping wood gridshell structures

Mechanical models in computational form finding of bending-active structures

A finite-difference formulation of elastic rod for the design of actively bent structures

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