Simplified analysis of large deflection response of a metal sandwich beam subjected to impulsive loading

2015 ◽  
Vol 226 (11) ◽  
pp. 3639-3651 ◽  
Author(s):  
Chao Yuan ◽  
Qinghua Qin ◽  
T. J. Wang
Keyword(s):  
Large Deflection ◽  
Sandwich Beam ◽  
Impulsive Loading ◽  
Simplified Analysis

Parametric Influences on the Response of Structural Shells

1975 ◽  
Vol 97 (4) ◽  
pp. 1311-1316 ◽  
Author(s):  
N. J. Huffington ◽  
J. D. Wortman
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Empirical Model ◽  
Difference Method ◽  
Large Deflection ◽  
Structural Response ◽  
Impulsive Loading ◽  
Relative Importance ◽  
Rapid Estimation ◽  
System Parameters

The effects on structural response produced by variation of geometric, loading, and material property parameters have been investigated for the specific case of a fixed-ended cylinder subjected to a “frontal cosine” distribution of impulsive loading (although many qualitative results can be expected to apply to other cases). Responses were determined using the REPSIL code, which employs a finite difference method to solve the partial differential equations for large deflection, anelastic shell motions. Graphical representations of results in terms of six nondimensional quantities make it possible to obtain an overview of the influence of various system parameters on structural response and to draw certain conclusions regarding their relative importance. An empirical model based on REPSIL code data has been developed which permits rapid estimation of cylinder responses over a useful range of system parameters.

scholarly journals LARGE DEFLECTION OF CANTILEVER FUNCTIONALLY GRADED SANDWICH BEAM UNDER END FORCES BASED ON A TOTAL LAGRANGE FORMULATION

2020 ◽  
Vol 57 (6A) ◽  
pp. 32
Author(s):  
Hoai Bui Thi Thu
Keyword(s):  
Large Deflection ◽  
Control Method ◽  
Sandwich Beam ◽  
Point Load ◽  
Functionally Graded ◽  
Linear Functions ◽  
Element Formulation ◽  
Material Inhomogeneity ◽  
Lagrange Formulation ◽  
Layer Thickness Ratio

A two-node beam element for large deflection analysis of cantilever functionally graded sandwich (FGSW) beams subjected to end forces is formulated in the context of total Lagrange formulation. The beams consist of three layers, a homogeneous core and two functionally graded layers with material properties varying in the thickness direction by a power gradation law. Linear functions are adopted to interpolate the displacement field and reduced integral technique is applied to evaluate the element formulation. Newton-Raphson based iterative algorithm is employed in combination with arc-length control method to compute equilibrium paths of the beams. Numerical investigations are given for the beam under a transverse point load and a moment to show the accuracy of the element and to illustrate the effects of material inhomogeneity and the layer thickness ratio on the large deflection behavior of the FGSW beams.

scholarly journals Simplified analysis of large deflections for metal sandwich plates with various lattice cores subjected to impulsive loading

2018 ◽  
Vol 10 (7) ◽  
pp. 168781401878740
Author(s):  
Wei Zhang ◽  
Qinghua Qin ◽  
Jianxun Zhang ◽  
Shangjun Chen ◽  
Zili Xu
Keyword(s):  
Structural Response ◽  
Yield Condition ◽  
Bending Moment ◽  
String Model ◽  
Impulsive Loading ◽  
Sandwich Plates ◽  
Wide Range ◽  
Theoretical Predictions ◽  
Simplified Analysis ◽  
Sandwich Core

A new simplified analysis is carried out to predict the dynamic response of clamped metal sandwich plates with various lattice cores subjected to impulsive loading. Based on the yield condition for sandwich plate cross-section, the interaction of bending moment and axial force for the section is decoupled. The simplified analytical solutions of the maximum midspan deflection and structural response time are obtained. Moreover, neglecting the effect of bending moment, a simplified plastic-string model is developed. Comparisons of the present theoretical predictions with previous analytical and numerical results are conducted and good agreement is achieved for a wide range of sandwich core topologies.

Analytical Solution for the Large Deflection of Fully Clamped Metallic Foam Sandwich Beam

2008 ◽  
Vol 33-37 ◽  
pp. 559-566 ◽  
Author(s):  
Qing Hua Qin ◽  
Tie Jun Wang
Keyword(s):  
Analytical Solution ◽  
Large Deflection ◽  
Yield Criterion ◽  
Sandwich Beam ◽  
Metallic Foam ◽  
Concentrated Load ◽  
Core Strength ◽  
Load Carrying ◽  
Axial Stretching ◽  
Geometrical Dimensions

A unified yield criterion is proposed in this paper, which is valid for the metallic sandwich sections with various core strength and geometrical dimensions and can reduce to the classical yield criteria for solid monolithic section and sandwich section with weak core, respectively. Then, the unified yield criterion is used to derive the analytical solution for the large deflection of fully clamped metallic sandwich beam subject to a transversely concentrated load, in which the interaction of bending and stretching is considered. Comparisons of the present solutions with experimental results are carried out and good agreements are found. It is seen that the axial stretching induced by large deflection has a significant effect on the deflection of sandwich structure in the post-yield regime, and the load carrying capacity of metallic foam core sandwich beam may be underestimated as the core strength is neglected in analysis.

Large Deflection of a Pin-Supported Slender Geometrically Asymmetric Sandwich Beam under Transverse Loading

2013 ◽  
Vol 535-536 ◽  
pp. 405-408
Author(s):  
Jian Xun Zhang ◽  
Qing Hua Qin ◽  
Wei Long Ai ◽  
Zheng Jin Wang ◽  
Tie Jun Wang
Keyword(s):  
Sandwich Structure ◽  
Large Deflection ◽  
Metal Foam ◽  
Yield Criterion ◽  
Sandwich Beam ◽  
Structural Response ◽  
Foam Core ◽  
Transverse Loading ◽  
Flat Punch ◽  
Axial Stretching

The objective of this work is to study the large deflection of a pin-supported slender geometrically asymmetric metal foam core sandwich beam under transverse loading by a flat punch. Based on the yield criterion for geometrically asymmetric metal foam core sandwich structure, analytical solution for the large deflection of a pin-supported slender sandwich beam is obtained, in which the interaction of bending and stretching induced by large deflection is considered. The finite element results confirm the accuracy of the analytical solutions. The effects of asymmetric factor and boundary condition on the structural response of the asymmetric sandwich beam are discussed in detail. It is shown that the axial stretching induced by large deflection plays an important role in the load-carrying and energy absorption capacities of geometrically asymmetric sandwich structure.

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