Reformulation and extension of the thrust network analysis

Marmo, Francesco; Rosati, Luciano

doi:10.1016/j.compstruc.2016.11.016

Cited by 121 publications

(55 citation statements)

References 36 publications

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“…It is well known that structural optimization is an important tool, both for sizing structure members and for helping the designer find the most suitable structural form [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28]. Today, structural optimization is common in mechanical and aeronautical engineering, and in recent years it has been progressively adopted for structural-engineering applications, such as sizing building and bridge members [29][30][31][32][33][34][35][36], detailing reinforced concrete structures [37][38][39][40][41][42][43][44][45], shaping bridges [46][47][48][49][50], domes [51][52][53][54], and other threedimensional structures [55].…”

Section: Introductionmentioning

confidence: 99%

A Heuristic Approach to Identify the Steel Grid Direction of R/C Slabs Using the Yield‐Line Method for Analysis

Fenu

Colasanti

Congiu

et al. 2019

Advances in Civil Engineering

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In the last few years, nonregular reinforced concrete (R/C) slabs have become more popular in buildings and bridges due to architectural or functional requirements. In these cases, an optimum design method to obtain the ultimate load capacity and the minimum reinforcement amount should be used. For simple R/C slabs, the yield-line method is extensively used in engineering practice. In addition to strength, the “true” failure mechanism is also obtained by identifying the parameters that define it and minimizing the collapse load. Unfortunately, when the mechanism is too complicated to be described or defined by several parameters (e.g., in slabs with complicated geometry), the method becomes more difficult because the system of nonlinear equations becomes harder to solve through traditional methods. In this case, an efficient and robust algorithm becomes necessary. In this paper, a structural analysis of R/C slabs is performed by using the yield-line method in association with a zero-th order optimization algorithm (the sequential simplex method) to avoid calculating gradients as well as any derivatives. The constraints that often limit these parameters are taken into account through the exterior penalty function method, leading to a successful solution of the problem. Considering that the direction of each yield-line is sought by minimizing the ultimate load and finding the parameters defining the collapse mechanism, another parameter concerned with the direction of an orthotropic reinforcement grid is introduced. In this way, the number of unknown parameters increases, but aside from obtaining the ultimate load and the parameters defining the collapse mechanism, the solution also finds both best and worst reinforcement orientations.

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Section: Introductionmentioning

confidence: 99%

A Heuristic Approach to Identify the Steel Grid Direction of R/C Slabs Using the Yield‐Line Method for Analysis

Fenu

Colasanti

Congiu

et al. 2019

Advances in Civil Engineering

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“…Similar to geometric stiffness methods, additional iterations are necessary for uniform or geodesic networks or shape-dependent loading, making the method non-linear (Barnes 1977;Haber and Abel 1982;Tan 1989;Lewis 2008;Koohestani 2014). Recently, the so-called thrust network analysis derived from the force density method has been used to find the shape of a discrete membrane restrained to a given geometric limitation (Block 2009;Marmo and Rosati 2017). -Dynamic equilibrium or relaxation methods that solve the problem of dynamic equilibrium to arrive at a steadystate solution are equivalent to the static solution of static equilibrium.…”

Section: Introductionmentioning

confidence: 99%

Adaptive form-finding method for form-fixed spatial network structures

Cheng¹,

Xue

et al. 2018

Int J Adv Struct Eng

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An effective form-finding method for form-fixed spatial network structures is presented in this paper. The adaptive formfinding method is introduced along with the example of designing an ellipsoidal network dome with bar length variations being as small as possible. A typical spherical geodesic network is selected as an initial state, having bar lengths in a limit group number. Next, this network is transformed into the ellipsoidal shape as desired by applying compressions on bars according to the bar length variations caused by transformation. Afterwards, the dynamic relaxation method is employed to explicitly integrate the node positions by applying residual forces. During the form-finding process, the boundary condition of constraining nodes on the ellipsoid surface is innovatively considered as reactions on the normal direction of the surface at node positions, which are balanced with the components of the nodal forces in a reverse direction induced by compressions on bars. The node positions are also corrected according to the fixed-form condition in each explicit iteration step. In the serial results of time history, the optimal solution is found from a time history of states by properly choosing convergence criteria, and the presented form-finding procedure is proved to be applicable for form-fixed problems.

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“…Following the approach illustrated in [9], the horizontal equilibrium of internal nodes is enforced by the 2N i equations…”

Section: Equilibrium Of Nodesmentioning

confidence: 99%

“…Reducing the bias by the quoted authors in favor of a graphical interpretation of the method, Block's version of the TNA has been recently reformulated by discarding the dual grid and focusing only on the primal grid, thus significantly enhancing the computational performances of the method [9]. Such a reformulation of the TNA also includes horizontal forces in the analysis as well as holes or free edges in the vault.…”

Section: Introductionmentioning

confidence: 99%

Thrust Network Analysis of Masonry Vaults Subject to Vertical and Horizontal Loads

Marmo¹,

Masi²,

Sessa³

et al. 2017

Proceedings of the 6th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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Abstract. We illustrate the assumptions underlying a recent reformulation of the Thrust Network Analysis (TNA), a methodology that allows one to model internal forces within masonry arches and vaults by means of a network of thrusts. The proposed version of the TNA allows for analysis of structures of complex geometry, with openings or free edges, subjected to the combined action of vertical and horizontal loadings. A series of numerical examples are reported to show how the method can be applied to evaluate the limit geometric proportions, e.g., minimum thickness, or the horizontal load bearing capacity of masonry arches and vaults.

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Reformulation and extension of the thrust network analysis

Cited by 121 publications

References 36 publications

A Heuristic Approach to Identify the Steel Grid Direction of R/C Slabs Using the Yield‐Line Method for Analysis

A Heuristic Approach to Identify the Steel Grid Direction of R/C Slabs Using the Yield‐Line Method for Analysis

Adaptive form-finding method for form-fixed spatial network structures

Thrust Network Analysis of Masonry Vaults Subject to Vertical and Horizontal Loads

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