Nonlinear dynamic buckling of pinned–fixed shallow arches under a sudden central concentrated load

2013 ◽  
Vol 73 (3) ◽  
pp. 1289-1306 ◽  
Author(s):  
Yong-Lin Pi ◽  
Mark Andrew Bradford
Keyword(s):  
Nonlinear Dynamic ◽  
Dynamic Buckling ◽  
Concentrated Load ◽  
Shallow Arches

scholarly journals A Semianalytical Approach for Nonlinear Dynamic System of Shallow Arches Using Higher Order Multistep Taylor Method

2018 ◽  
Vol 2018 ◽  
pp. 1-17 ◽  
Author(s):  
Sudeok Shon ◽  
Soohong Ahn ◽  
Seungjae Lee ◽  
Junhong Ha
Keyword(s):  
Dynamic System ◽  
Nonlinear Dynamic ◽  
Polynomial Solution ◽  
Nonlinear Dynamic System ◽  
Load Level ◽  
Dynamic Buckling ◽  
Asymmetric Mode ◽  
Shallow Arches ◽  
Buckling Behavior ◽  
Taylor Method

This study aimed at obtaining a semianalytical solution for nonlinear dynamic system of shallow arches. Taylor method was applied to find the analytical solution, and an investigation of their dynamic characteristic was carried out to verify the applicability of this methodology for the shallow arches under step or periodic excitation. A polynomial solution can be obtained from this multistep approach with respect to time, and direct buckling as well as indirect buckling of the shallow arches can be observed, also. The results indicated that the dynamic buckling load level was higher with higher shape factor. Additionally, a change of attractor in phase space was investigated. Coupling in symmetric mode as well as asymmetric mode was observed in case of indirect buckling, and a sensitive response was also manifested during sinusoidal and beating excitation. These results of applying multistep Taylor series for the investigation of displacement response and attractor change revealed that this analytical approach was valid in explaining the dynamic buckling behavior of shallow arches under direct and indirect snapping.

Nonlinear Dynamic Buckling of Fixed Shallow Arches under an Arbitrary Step Radial Point Load

2018 ◽  
Vol 144 (4) ◽  
pp. 04018012 ◽  
Author(s):  
Airong Liu ◽  
Zhicheng Yang ◽  
Mark Andrew Bradford ◽  
Yong-Lin Pi
Keyword(s):  
Nonlinear Dynamic ◽  
Point Load ◽  
Dynamic Buckling ◽  
Shallow Arches

Nonlinear dynamic buckling of fixed shallow arches under impact loading: An analytical and experimental study

2020 ◽  
Vol 487 ◽  
pp. 115622
Author(s):  
Zhicheng Yang ◽  
Airong Liu ◽  
Yong-Lin Pi ◽  
Jiyang Fu ◽  
Zhongkang Gao
Keyword(s):  
Experimental Study ◽  
Impact Loading ◽  
Nonlinear Dynamic ◽  
Dynamic Buckling ◽  
Shallow Arches

The nonlinear dynamic buckling behaviour of imperfect solar cells subjected to impact load

2021 ◽  
Vol 169 ◽  
pp. 108317
Author(s):  
Qingya Li ◽  
Yuhang Tian ◽  
Di Wu ◽  
Wei Gao ◽  
Yuguo Yu ◽  
...  
Keyword(s):  
Solar Cells ◽  
Nonlinear Dynamic ◽  
Impact Load ◽  
Dynamic Buckling

Effect of Temperature Gradient on the Mechanical Buckling Resistance of FGM Shallow Arches

2014 ◽  
Author(s):  
M. Bateni ◽  
M. R. Eslami
Keyword(s):  
Temperature Gradient ◽  
Thermal Environment ◽  
Mechanical Load ◽  
Functionally Graded ◽  
Effect Of Temperature ◽  
Power Law Distribution ◽  
Concentrated Load ◽  
Shallow Arches ◽  
Buckling Resistance ◽  
Graded Material

This work presents a closed form investigation on the effect of temperature gradient on the buckling resistance of functionally graded material (FGM) shallow arches. The constituents are assumed to vary smoothly through the thickness of the arch according to the power law distribution and they are assumed to be temperature dependent. The arches subjected to the both uniform distributed radial load and central concentrated load and both boundary supports are supposed to be pinned. The temperature field is approximated by one-dimensional linear gradient through the thickness of the arch and the displacement field approximated by classical arches model. Also, Donnell type kinematics is utilized to extract the suitable strain-displacement relations for shallow arches. Adjacent equilibrium criterion is used to buckling analysis, and, critical bifurcation load is obtain in the complete presence of pre-buckling deformations. Results discloses the usefulness of using the FGM shallow arches in thermal environment because the temperature gradient enhances the buckling resistance of these structures when they are subjected to a lateral mechanical load.

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