Optimization of stadium roof structure using force density method

2016 ◽  
pp. 693-700
Author(s):  
M Uroš ◽  
P Gidak ◽  
D Lazarević
Keyword(s):  
Force Density ◽  
Density Method ◽  
Force Density Method ◽  
Roof Structure

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.

Initial Intension Analysis of Astromesh Structure of the Astromesh Deployable Antenna

2011 ◽  
Vol 486 ◽  
pp. 99-102
Author(s):  
Ani Luo ◽  
He Ping Liu ◽  
Tong Ming Zhang ◽  
Yang Li
Keyword(s):  
Genetic Algorithm ◽  
Null Space ◽  
Coefficient Matrix ◽  
Force Density ◽  
Analysis Method ◽  
Balance Equations ◽  
Density Method ◽  
Force Density Method ◽  
Set Up

The reflector of the astromesh deployable antenna is formed with metallic net fixed on the nodes of its astromesh. The astromesh determines shape of the reflector, so analysis of the astromesh is necessary. With force density method and paraboloid equation, balance equations of the astromesh were set up at first. Length and tension of the cords, coordinates of the nodes and outer forces on the nodes were included in the equations. After the coefficient matrix was transformed, a group of orthogonal normalization basis in its null space was obtained. Solving method of the balance equations was analyzed. After optimized with the genetic algorithm, initial tensions of all cords were obtained finally. The analysis method can make design of the astromesh more rational and reliable.

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