Design and form-finding of compression structures with prestressing tendons

Fernández-Ruiz, Manuel Alejandro; Moskaleva, Anastasiia; Gil‐Martín, Luisa María; Palomares, Antonio; Hernández‐Montes, Enrique

doi:10.1016/j.engstruct.2019.109394

Cited by 8 publications

(8 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The force density method was later modified and further developed by different researchers to give rise to a number of new form-finding methodologies, based on static equilibrium. Some of these are the geometric stiffness method [123], thrust network analysis [124,125], topological mapping for tension and compression structures [126][127][128], and the form-finding of compression structures with pre-stressing tendons [129]. Additionally, based on dynamic equilibrium, methods such as dynamic relaxation [130,131] and particle spring systems appeared [132].…”

Section: Freeform Structuresmentioning

confidence: 99%

See 1 more Smart Citation

Fiber-Reinforced Polymers in Freeform Structures: A Review

2021

Self Cite

View full text Add to dashboard Cite

This article is a survey discussing the application of fiber-reinforced polymer composites in freeform structures and their impact on the design and shape generation process. The analysis of case studies showed that the use of FRP composites not only helps to overcome some challenges in the construction of objects with complex geometry, but also creates brand new types of structures and design approaches. On the other hand, there is a problem—although FRP materials are frequently used in construction, the shapes of structures and design methods are often traditional and are simply copied from materials such as wood, concrete, and steel. FRP composites have been applied in civil engineering for several decades, since the 1960s, as building envelopes, façade skins, load-bearing structures, and internal and external reinforcement. The article aims to analyze this accumulated experience and to explore the role of FRP materials in the design of buildings with free, complex, fluid, and organic shapes. A new classification of freeform composite structures is proposed. They are classified in this article according to the methodology applied at the conceptual design stage: structures created by using a geometric approach, a form-finding (equilibrium) approach, or a biomimetic approach. Each approach is described in its own separate section, with a thorough literature and state-of-the-art review.

show abstract

Section: Freeform Structuresmentioning

confidence: 99%

“…Examples of compression-only structures are unreinforced domes and vaults [134]. Examples of hybrid structures are tensegrity structures, or compression structures with pre-stressing tendons [129].…”

Section: Freeform Structuresmentioning

confidence: 99%

Fiber-Reinforced Polymers in Freeform Structures: A Review

2021

Self Cite

View full text Add to dashboard Cite

show abstract

“…On the contrary, in compression structures [28] all the members are in compression (q < 0) and the self-weight is the dominant load (see Figure 1.d). Compression structures with tensions members (Figure 1.a) is a new type of structures recently introduced by the authors [29] composed by a compression structure and tensions members that connect two points of the compression structure. As…”

Section: Equilibrium Of Tensegrity Structuresmentioning

confidence: 99%

“…In both tension (Figure 1.e) and compression (Figure 1.d) structures the corresponding matrix D is nonsingular and the form-finding problem is well-solved ( [27] and [28] respectively). In compression structures with tension members matrix D can be singular and some additional conditions must be taken into account regarding its condition number [29].…”

Section: Rank Deficiencymentioning

confidence: 99%

The Z-octahedron family: A new tensegrity family

Fernández-Ruiz

Hernández‐Montes

Gil‐Martín

2020

Engineering Structures

Self Cite

View full text Add to dashboard Cite

A new family of tensegrity structures is presented: the Z-octahedron family. A tensegrity family is a group of tensegrity structures that share a common connectivity pattern. The members of the Z-octahedron family have been obtained replacing the elementary rhombic cells of the members of the octahedron family with elementary Z-shaped cells.In addition, a higher number of possible force density or force:length ratio values have been considered. The values of the force:length ratio of the members of the family that lead to super-stable tensegrity forms have been computed analytically. Two members of the family have been obtained: the Z-expanded octahedron and the Z-double-expanded octahedron. Finally it has been proved that the Z-double-expanded octahedron obtained here from topological rules can also be defined from a truncated cube based on purely geometrical intuition.

show abstract

“…23 Other authors have also pointed out that mixture of tension and compression elements makes the behavior of funicular structures both interesting and challenging. Attractive examples include compression vaults with edge rings as well as other non-conventional structures, 27 cable-strut structures, compression structures with prestressed tendons, 25 and tensegrity structures.…”

Section: Introductionmentioning

confidence: 99%

Form-finding using the Force Density Method: Existence of solutions, singularities, and an analogy to electric circuits

Guerra Riaño,

Várkonyi

2023

International Journal of Space Structures

View full text Add to dashboard Cite

The Force Density Method is the oldest computational method for form-finding of funicular structures. The method is based on solving a linear system of equilibrium equations. Linearity ensures existence and uniqueness of the solution, provided that the coefficient matrix is non-singular. In the opposite case, the method often fails to deliver a feasible solution. In this study, we highlight a mathematical analogy between force density networks and electric circuits. Motivated by standard reduction steps in networks of electric resistors, inductors, or capacitors, we develop a new sequential reduction technique applicable to networks of force density elements. Network reduction enables analytic detection of singularity in many cases. Several examples illustrate the feasibility of the proposed singularity test, furthermore the role of singularities in classification of emergent structural forms is discussed.

show abstract

Design and form-finding of compression structures with prestressing tendons

Cited by 8 publications

References 24 publications

Fiber-Reinforced Polymers in Freeform Structures: A Review

Fiber-Reinforced Polymers in Freeform Structures: A Review

The Z-octahedron family: A new tensegrity family

Form-finding using the Force Density Method: Existence of solutions, singularities, and an analogy to electric circuits

Contact Info

Product

Resources

About