Topology Design of Geometrically Nonlinear 2D Elastic Continua Using CA and an Equivalent Truss Model

2006 ◽  
Author(s):  
Ramzi Zakhama ◽  
Mustafa Abdalla ◽  
Hichem Smaoui ◽  
Zafer Gürdal
Keyword(s):  
Topology Design ◽  
Geometrically Nonlinear ◽  
Truss Model

Simple Nonlinear Static Analysis Using Truss Models for Modeling Snap-through of Thin Shallow Arches

2012 ◽  
Vol 215-216 ◽  
pp. 685-691
Author(s):  
Haris Xenidis ◽  
Konstantinos Morfidis ◽  
Panagis G. Papadopoulos
Keyword(s):  
Computer Program ◽  
Static Analysis ◽  
Nonlinear Static Analysis ◽  
Geometrically Nonlinear ◽  
Shallow Arch ◽  
Shallow Arches ◽  
Truss Model ◽  
Simple Geometry ◽  
Nonlinear Static ◽  
Global Stiffness Matrix

In this paper, a truss model is used for the geometrically nonlinear static analysis of a thin shallow arch subject to snap-through. Thanks to the very simple geometry of a truss, the equilibrium conditions can be easily written and the global stiffness matrix can be easily updated with respect to the deformed structure, within each step of the analysis. A very coarse discretization is applied. For the geometrically nonlinear static analysis, a short computer program has been developed by displacement control of a plane truss model of a structure. This very short, fully documented computer program is applied on the geometrically nonlinear static analysis of a specific thin shallow arch subject to snap-through.

Static Geometrically Nonlinear Aeroelastic Framework for Multi-Fidelity Analysis

2020 ◽  
Vol 68 (4) ◽  
pp. 142-147
Author(s):  
Natsuki Tsushima ◽  
Masato Tamayama ◽  
Tomohiro Yokozeki
Keyword(s):  
Geometrically Nonlinear

THE SUPPORT BONDS RIGIDITY INFLUENCES ON THE CARRYING CAPACITY REDUCTION OF THE SHALLOW SHELLS ON A RECTANGULAR PLAN

2020 ◽  
Vol 92 (6) ◽  
pp. 3-12
Author(s):  
A.G. KOLESNIKOV ◽  
Keyword(s):  
Variable Thickness ◽  
Carrying Capacity ◽  
Geometric Nonlinearity ◽  
Progressive Collapse ◽  
Geometrically Nonlinear ◽  
Loss Of Stability ◽  
Shallow Shells ◽  
Capacity Reduction ◽  
Internal Forces ◽  
Hinged Support

Geometric nonlinearity shallow shells on a square and rectangular plan with constant and variable thickness are considered. Loss of stability of a structure due to a decrease in the rigidity of one of the support (transition from fixed support to hinged support) is considered. The Bubnov-Galerkin method is used to solve differential equations of shallow geometrically nonlinear shells. The Vlasov's beam functions are used for approximating. The use of dimensionless quantities makes it possible to repeat the calculations and obtain similar dependences. The graphs are given that make it possible to assess the reduction in the critical load in the shell at each stage of reducing the rigidity of the support and to predict the further behavior of the structure. Regularities of changes in internal forces for various types of structure support are shown. Conclusions are made about the necessary design solutions to prevent the progressive collapse of the shell due to a decrease in the rigidity of one of the supports.

Performance Modeling and Analysis of WDM Optical Networks under Wavelength Continuity Constraint using MILP

2020 ◽  
Vol 13 (2) ◽  
pp. 203-211 ◽  
Author(s):  
Swati Bhalaik ◽  
Ashutosh Sharma ◽  
Rajiv Kumar ◽  
Neeru Sharma
Keyword(s):  
Network Design ◽  
Optical Networks ◽  
Wavelength Division Multiplexing ◽  
Optical Network ◽  
Optimal Path ◽  
Topology Design ◽  
Mixed Integer ◽  
Wdm Optical Networks ◽  
Virtual Topology ◽  
Wdm Network

Objective: Optical networks exploit the Wavelength Division Multiplexing (WDM) to meet the ever-growing bandwidth demands of upcoming communication applications. This is achieved by dividing the enormous transmission bandwidth of fiber into smaller communication channels. The major problem with WDM network design is to find an optimal path between two end users and allocate an available wavelength to the chosen path for the successful data transmission. Methods: This communication over a WDM network is carried out through lightpaths. The merging of all these lightpaths in an optical network generates a virtual topology which is suitable for the optimal network design to meet the increasing traffic demands. But, this virtual topology design is an NP-hard problem. This paper aims to explore Mixed Integer Linear Programming (MILP) framework to solve this design issue. Results: The comparative results of the proposed and existing mathematical models show that the proposed algorithm outperforms with the various performance parameters. Conclusion: Finally, it is concluded that network congestion is reduced marginally in the overall performance of the network.

scholarly journals Shape preserving design of geometrically nonlinear structures using topology optimization

2019 ◽  
Vol 59 (4) ◽  
pp. 1033-1051 ◽  
Author(s):  
Yu Li ◽  
Jihong Zhu ◽  
Fengwen Wang ◽  
Weihong Zhang ◽  
Ole Sigmund
Keyword(s):  
Topology Optimization ◽  
Geometrically Nonlinear ◽  
Nonlinear Structures ◽  
Shape Preserving
Sign in / Sign up

Export Citation Format

Share Document