An Extended Force Density Method for the form finding of cable systems with new forms

2012 ◽  
Vol 42 (2) ◽  
pp. 191-210 ◽  
Author(s):  
P.G. Malerba ◽  
M. Patelli ◽  
M. Quagliaroli
Keyword(s):  
Force Density ◽  
Form Finding ◽  
Density Method ◽  
Force Density Method ◽  
Cable Systems

Form-finding design of electrostatically controlled deployable membrane antenna based on an extended force density method

2018 ◽  
Vol 152 ◽  
pp. 757-767 ◽  
Author(s):  
Yongzhen Gu ◽  
Jingli Du ◽  
Dongwu Yang ◽  
Yiqun Zhang ◽  
Shuxin Zhang
Keyword(s):  
Force Density ◽  
Form Finding ◽  
Density Method ◽  
Force Density Method

scholarly journals Form-Finding of Funicular Geometries in Spatial Arch Bridges through Simplified Force Density Method

2018 ◽  
Vol 8 (12) ◽  
pp. 2553 ◽  
Author(s):  
Juan Jorquera-Lucerga
Keyword(s):  
Three Dimensional ◽  
Vertical Plane ◽  
Force Density ◽  
Functional Requirements ◽  
Form Finding ◽  
Arch Bridge ◽  
Density Method ◽  
Force Density Method ◽  
Axial Forces ◽  
Arch Bridges

In a “classical” vertical planar arch bridge subjected only to in-plane loads, its funicular geometry (which is the geometry that results in an equilibrium state free from bending stresses, i.e., simply under axial forces) is contained within a vertical plane. In the so-called “spatial arch bridges,” their structural behavior extends from the essentially vertical in-plane behavior of the “classical” arch bridges to a three-dimensional behavior. The paper presents how the Force Density Method, which is a form-finding method originally developed for cable meshes, can be simplified to easily obtain three-dimensional funicular arches. The formulation and flow chart of the method is presented and discussed in detail within this paper. Additionally, some case studies illustrate its scope. This paper intends to be useful at the conceptual stage of bridge design when the three-dimensional geometry for the spatial arch bridge typology is considered either because of functional requirements, structural efficiency, or for aesthetical purposes.

Structural Morphology Of Tensegrity Systems

1996 ◽  
Vol 11 (1-2) ◽  
pp. 233-240 ◽  
Author(s):  
R. Motro
Keyword(s):  
Numerical Methods ◽  
Design Tool ◽  
Force Density ◽  
Form Finding ◽  
Structural Morphology ◽  
Density Method ◽  
Initial Design ◽  
Force Density Method ◽  
Tensegrity Systems

Tensegrity systems are structures in which morphological and mechanical aspects are closely related by selfstress requirements. In the first part, this paper describes the birth of the idea which led to these systems. Snelson's work seems to be the main contribution for their initial design, even if Fuller created the word tensegrity and contributed with other searchers, like Emmerich to the popularization of these systems. The second part is devoted to form-finding methods which are necessary to reach a morphology compatible with mechanical requirements. References for main computation methods are given. Among them numerical methods like force density method could constitute an useful design tool.

scholarly journals Form-finding of Bionic Structures Using the Force Density Method and Topological Mapping

2019 ◽  
Vol 7 (3) ◽  
pp. 65-74
Author(s):  
Anastasiia Moskaleva ◽  
Manuel Alejandro Fernandez Ruiz ◽  
Luisa María Gil Martín ◽  
Aleksandra Frolovskaia ◽  
Sergei Gerashchenko ◽  
...  
Keyword(s):  
Force Density ◽  
Form Finding ◽  
Density Method ◽  
Topological Mapping ◽  
Force Density Method

Modified nonlinear force density method for form-finding of membrane SAR antenna

2015 ◽  
Vol 54 (6) ◽  
pp. 1045-1059 ◽  
Author(s):  
Rui Xu ◽  
DongXu Li ◽  
Wang Liu ◽  
JianPing Jiang ◽  
YiHuan Liao ◽  
...  
Keyword(s):  
Force Density ◽  
Form Finding ◽  
Density Method ◽  
Force Density Method ◽  
Nonlinear Force

Accuracy analysis and form-finding design of uncertain mesh reflectors based on interval force density method

2016 ◽  
Vol 231 (11) ◽  
pp. 2163-2173 ◽  
Author(s):  
Tuanjie Li ◽  
Hanqing Deng ◽  
Yaqiong Tang ◽  
Jie Jiang ◽  
Xiaofei Ma
Keyword(s):  
High Surface ◽  
Analytical Relationship ◽  
Force Density ◽  
Form Finding ◽  
Related Factors ◽  
Cross Sectional ◽  
Density Method ◽  
Force Density Method ◽  
Surface Accuracy ◽  
Design Values

Mesh reflectors are uncertain structures because of the existing errors of dimension and material in the procedure of design and manufacture. These uncertainties have significant impacts on the mechanical and electrical properties, which must be considered during the design phase. Three directly related factors of cable uncertainties in mesh reflectors are considered in this paper, including the initial length, cross-sectional area, and elastic modulus. The analytical relationship between the cable uncertainties and the surface accuracy of mesh reflectors is deduced by interval analysis, and an interval force density method is thus proposed. First, this method is used to analyze the influence of the cable uncertainties on the surface accuracy. Then it is applied into the form-finding optimization of uncertain mesh reflectors to minimize the influence of cable uncertainties on the surface accuracy. Three kinds of cable nets of mesh reflectors are illustrated to analyze the influence of the cable uncertainties on the surface accuracy, and the mesh reflectors with high surface accuracy are obtained by the proposed method. Finally, the influences of both the design values and deviation amplitudes of cable uncertainties on the surface accuracy are revealed.

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