Nonreciprocal acoustics and dynamics in the in-plane oscillations of a geometrically nonlinear lattice

2016 ◽  
Vol 94 (3) ◽  
Author(s):  
Zhen Zhang ◽  
I. Koroleva ◽  
L. I. Manevitch ◽  
L. A. Bergman ◽  
A. F. Vakakis
Keyword(s):  
Geometrically Nonlinear ◽  
Nonlinear Lattice ◽  
Plane Oscillations

Extreme nonlinear energy exchanges in a geometrically nonlinear lattice oscillating in the plane

2018 ◽  
Vol 110 ◽  
pp. 1-20 ◽  
Author(s):  
Zhen Zhang ◽  
Leonid I. Manevitch ◽  
Valeri Smirnov ◽  
Lawrence A. Bergman ◽  
Alexander F. Vakakis
Keyword(s):  
Geometrically Nonlinear ◽  
Nonlinear Lattice ◽  
Energy Exchanges ◽  
Nonlinear Energy

Design sensitivity analysis for optimal design of geometrically nonlinear lattice structures

2018 ◽  
Vol 168 ◽  
pp. 915-928 ◽  
Author(s):  
Ji-Yang Fu ◽  
Ben-Gang Wu ◽  
Jiu-Rong Wu ◽  
Ting Deng ◽  
Yong-Lin Pi ◽  
...  
Keyword(s):  
Sensitivity Analysis ◽  
Optimal Design ◽  
Design Sensitivity ◽  
Design Sensitivity Analysis ◽  
Geometrically Nonlinear ◽  
Lattice Structures ◽  
Nonlinear Lattice

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.

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
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