Effect of initial strain and material nonlinearity on the nonlinear static and dynamic response of graphene sheets

2018 ◽  
Vol 423 ◽  
pp. 373-400 ◽  
Author(s):  
Sandeep Singh ◽  
B.P. Patel
Keyword(s):  
Dynamic Response ◽  
Material Nonlinearity ◽  
Initial Strain ◽  
Graphene Sheets ◽  
Nonlinear Static

Geometrically nonlinear static and dynamic analysis of CNT reinforced laminated composite plates: A finite element study

2021 ◽  
pp. 095440622110089
Author(s):  
Balakrishna Adhikari ◽  
BN Singh
Keyword(s):  
Finite Element ◽  
Free Vibration ◽  
Dynamic Response ◽  
Integration Scheme ◽  
Static And Dynamic Analysis ◽  
Finite Element Study ◽  
Nonlinear Eigenvalues ◽  
Nonlinear Static ◽  
The Impact ◽  
Element Study

In this paper, a finite element study is conducted using the Green Lagrange strain field based on vonKarman assumptions for the geometric nonlinear static and dynamic response of the laminated functionally graded CNT reinforced (FG-CNTRC) composite plate. The governing equations for determining the nonlinear static and dynamic behavior of the FG-CNTRC plate are derived using the Lagrange equation of motion based on Reddy's higher order theory. Using the direct iteration technique, the nonlinear eigenvalues for analyzing the free vibration response are obtained and the nonlinear dynamic responses of the FG-CNTRC plate are encapsulated based on the nonlinear Newmark integration scheme. The impact of the amplitude of vibration on mode switching phenomena and the consequence of the duration of the pulse on the free vibration regime of the plate are outlined. Also, the effect of time dependent loads is studied on the normal stresses of the plate. Furthermore, the impact on the nonlinear static and dynamic response of the laminated FG-CNTRC plate of various parameters such as span-thickness ratio (b/h ratio), aspect ratio (a/b ratio), different edge constraints, CNT fiber gradation, etc. are also studied.

Effect of eccentrically oblique stiffeners and temperature on the nonlinear static and dynamic response of S-FGM cylindrical panels

2020 ◽  
Vol 146 ◽  
pp. 106438 ◽  
Author(s):  
Nguyen Dinh Duc ◽  
Seung-Eock Kim ◽  
Duong Tuan Manh ◽  
Pham Dinh Nguyen
Keyword(s):  
Dynamic Response ◽  
Cylindrical Panels ◽  
Nonlinear Static

Nonlinear Metabolic Dynamics of the Pancreas and Liver

1973 ◽  
Vol 95 (3) ◽  
pp. 296-300 ◽  
Author(s):  
R. N. Bergman ◽  
R. J. Bucolo
Keyword(s):  
Insulin Secretion ◽  
Amino Acid ◽  
Dynamic Response ◽  
Dynamic Testing ◽  
Nonlinear Behavior ◽  
Time Dependent ◽  
Metabolic System ◽  
Metabolic Functions ◽  
Organ Level ◽  
Nonlinear Static

Organ level dynamic testing of the metabolic functions of the pancreas and liver have revealed some striking nonlinearities. Glucose provokes a biphasic response in insulin secretion, with dynamic asymmetry and time dependent gain. Amino acid stimulated insulin secretion dynamics contrasted with the dynamic response to glucose in that the gain was not time dependent, and the final phase of insulin secretion did not occur. Also, the magnitude of the amino acid response was very sensitive to the glucose level. A nonlinear model is proposed which accounts for the observed insulin secretory dynamics. The dynamic response of the net glucose balance of the liver in response to glucose was also studied and it was found that, in contrast to the pancreas, the liver can be represented simply by a first order process with a nonlinear static gain curve. These dynamic studies should help explain the nonlinear behavior of the metabolic system at the level of the whole animal.

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