On radially symmetric vibrations of circular sandwich plates of non-uniform thickness

2015 ◽  
Vol 99 ◽  
pp. 29-39 ◽  
Author(s):  
Roshan Lal ◽  
Rashmi Rani
Keyword(s):  
Sandwich Plates ◽  
Uniform Thickness ◽  
Circular Sandwich Plates

scholarly journals Analysis of Monolithic and Sandwich Panels Subjected To Non-Uniform Thickness-Wise Boundary Conditions

2016 ◽  
Vol 5 (1) ◽  
pp. 232-249
Author(s):  
Riccardo Vescovini ◽  
Lorenzo Dozio
Keyword(s):  
Finite Element ◽  
Boundary Conditions ◽  
Sandwich Plate ◽  
Sandwich Plates ◽  
Vibration Frequencies ◽  
Thickness Direction ◽  
Finite Element Analyses ◽  
Uniform Thickness ◽  
Bending Problems ◽  
High Degree

Abstract The analysis of monolithic and sandwich plates is illustrated for those cases where the boundary conditions are not uniform along the thickness direction, and run at a given position along the thickness direction. For instance, a sandwich plate constrained at the bottom or top face can be considered. The approach relies upon a sublaminate formulation,which is applied here in the context of a Ritz-based approach. Due to the possibility of dividing the structure into smaller portions, viz. the sublaminates, the constraints can be applied at any given location, providing a high degree of flexibility in modeling the boundary conditions. Penalty functions and Lagrange multipliers are introduced for this scope. Results are presented for free-vibration and bending problems. The close matching with highly refined finite element analyses reveals the accuracy of the proposed formulation in determining the vibration frequencies, as well as the internal stress distribution. Reference results are provided for future benchmarking purposes.

Large deflections of circular sandwich plates.

AIAA Journal ◽  
1968 ◽  
Vol 6 (4) ◽  
pp. 721-723 ◽  
Author(s):  
C. V. SMITH
Keyword(s):  
Sandwich Plates ◽  
Large Deflections ◽  
Circular Sandwich Plates

Dynamic Response of a Clamped Circular Sandwich Plate Subject to Shock Loading

2004 ◽  
Vol 71 (5) ◽  
pp. 637-645 ◽  
Author(s):  
X. Qiu ◽  
V. S. Deshpande ◽  
N. A. Fleck
Keyword(s):  
Finite Element ◽  
Shock Loading ◽  
Structural Response ◽  
Sandwich Plates ◽  
Explicit Finite Element ◽  
The Face ◽  
Analytical Formulas ◽  
Shock Resistance ◽  
Low Sensitivity ◽  
Circular Sandwich Plates

An analytical model is developed for the deformation response of clamped circular sandwich plates subjected to shock loading in air and in water. The deformation history is divided into three sequential stages and analytical expressions are derived for the deflection, degree of core compression, and for the overall structural response time. An explicit finite element method is employed to assess the accuracy of the analytical formulas for the simplified case where the effects of fluid-structure interaction are neglected. The sandwich panel response has only a low sensitivity to the magnitude of the core compressive strength and to the degree of strain hardening in the face-sheets. The finite element results confirm the accuracy of the analytical predictions for the rigid ideally plastic sandwich plates. The analytical formulas are employed to determine optimal geometries of the sandwich plates that maximize the shock resistance of the plates for a given mass. The optimization reveals that sandwich plates have a superior shock resistance relative to monolithic plates of the same mass.

Thermoplastic strain of circular sandwich plates on an elastic base

2009 ◽  
Vol 44 (5) ◽  
pp. 744-755 ◽  
Author(s):  
D. V. Leonenko ◽  
E. I. Starovoitov
Keyword(s):  
Elastic Base ◽  
Sandwich Plates ◽  
Circular Sandwich Plates

Nonlinear Superharmonic Resonance of Damped Circular Sandwich Plates with Initial Deflection

2011 ◽  
Vol 199-200 ◽  
pp. 1080-1083
Author(s):  
Guo Jun Du ◽  
Xiao Man Liu ◽  
Yu Da Hu ◽  
Chao Yu
Keyword(s):  
Sandwich Plate ◽  
Resonance Phenomenon ◽  
Sandwich Plates ◽  
Necessary And Sufficient Condition ◽  
Third Order ◽  
Circular Sandwich Plate ◽  
Superharmonic Resonance ◽  
Multi Scale ◽  
Circular Sandwich Plates ◽  
Necessary And Sufficient

The nonlinear superharmonic resonance phenomenon of damped circular sandwich plates under uniform load is investigated. From the movement equation of circular sandwich plate showed in displacement components, got the relevant nonlinear vibration equation by Galerkin method. Under the clamped BC. Using multi-scale method, the periodical solutions were obtained which was of nonlinear the third-order superharmonic resonance. The FRF equation of the superharmonic resonance is obtained, and the necessary and sufficient condition on stability of the vibration are obtained synchronously.The infection to the amplitude while the correlative physical and geometric parameters changing were discussed, Drew the trajectories in moving phase planes during the stabilization process, and the stabilities and singularities of the solutions are analyzed.

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