Low-velocity impact response of functionally graded doubly curved panels with Winkler–Pasternak elastic foundation: An analytical approach

2017 ◽  
Vol 162 ◽  
pp. 351-364 ◽  
Author(s):  
F. Najafi ◽  
M.H. Shojaeefard ◽  
H. Saeidi Googarchin
Keyword(s):  
Elastic Foundation ◽  
Analytical Approach ◽  
Functionally Graded ◽  
Impact Response ◽  
Low Velocity Impact ◽  
Low Velocity ◽  
Velocity Impact ◽  
Pasternak Elastic Foundation ◽  
Doubly Curved ◽  
Curved Panels

Transient Dynamic Analysis of Pretwisted Functionally Graded Conical Shells Subject to Low Velocity Impact: A Finite Element Approach

2017 ◽  
Author(s):  
Apurba Das ◽  
Ranojit Banerjee ◽  
Amit Karmakar
Keyword(s):  
Finite Element ◽  
Power Law ◽  
Initial Velocity ◽  
Functionally Graded ◽  
Impact Response ◽  
Low Velocity Impact ◽  
Low Velocity ◽  
Conical Shells ◽  
Velocity Impact ◽  
Power Law Exponent

This paper investigates on the problem of functionally graded (FG) shallow conical shells subjected to low-velocity impact by a solid spherical mass at the centre. Turbomachinery blades with low aspect ratio could be idealized as twisted rotating cantilever FG shallow conical shells. An analytic solution method is developed to solve and predict the impact response in terms of contact force, impactor displacement, initial velocity of impactor, target displacement and indentation of the FG conical shells with different sigmoidal power law exponent. A modified Hertzian contact law considering permanent indentation is used to calculate the contact force along with other impact response parameters. Using the Newmark’s time integration scheme the time dependent equations are solved. An eight noded isoparametric shell element is considered for the present finite element model. Parametric studies are performed to study the effects of triggering parameters like initial velocity of impactor (VOI), mass of the impactor (M0) and twist angle (Ψ) considering different sigmoidal power law exponent (N) for Ni (Nickel)-ZrO2 (Zirconia) and Ti (Titanium alloy-Ti–6Al–4V)-ZrO2 (Zirconia) functionally graded conical shell subjected to low velocity impact.

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