Large deflection analysis of plates and shells by discrete energy method

1978 ◽  
Vol 9 (3) ◽  
pp. 315-322 ◽  
Author(s):  
Dhirendra N. Buragohain ◽  
Subhash C. Patodi
Keyword(s):  
Energy Method ◽  
Large Deflection ◽  
Discrete Energy ◽  
Discrete Energy Method ◽  
Deflection Analysis ◽  
Plates And Shells

scholarly journals The discrete energy method in numerical relativity: towards long-term stability

2004 ◽  
Vol 21 (24) ◽  
pp. 5819-5848 ◽  
Author(s):  
Luis Lehner ◽  
David Neilsen ◽  
Oscar Reula ◽  
Manuel Tiglio
Keyword(s):  
Energy Method ◽  
Numerical Relativity ◽  
Discrete Energy ◽  
Discrete Energy Method ◽  
Term Stability ◽  
Long Term Stability

scholarly journals Conservative compact difference scheme based on the scalar auxiliary variable method for the generalized Kawahara equation

2021 ◽  
Author(s):  
Hongtao Chen ◽  
Yuyu He
Keyword(s):  
Difference Scheme ◽  
Error Estimates ◽  
Energy Method ◽  
Auxiliary Variable ◽  
Variable Method ◽  
Compact Difference Scheme ◽  
Kawahara Equation ◽  
Discrete Energy ◽  
Discrete Energy Method ◽  
Compact Difference

In this paper, a conservative compact difference scheme for the generalized Kawahara equation is constructed based on the scalar auxiliary variable (SAV) approach. The discrete conservative laws of mass and Hamiltonian energy and boundedness estimates are studied in detail. The error estimates in discrete $L^{\infty}$-norm and $L^2$-norm of the presented scheme are analyzed by using the discrete energy method. We give an efficiently algorithm of the presented scheme which only needs to solve two decoupled equations.

scholarly journals Experimental Study and Development of Design Formula for Estimating the Ultimate Strength of Curved Plates

2021 ◽  
Vol 11 (5) ◽  
pp. 2379
Author(s):  
Jeong-Hyeon Kim ◽  
Doo-Hwan Park ◽  
Seul-Kee Kim ◽  
Myung-Sung Kim ◽  
Jae-Myung Lee
Keyword(s):  
Aspect Ratio ◽  
Ultimate Strength ◽  
Large Deflection ◽  
Slenderness Ratio ◽  
Compressive Load ◽  
Element Analysis ◽  
Shipbuilding Industry ◽  
Design Formula ◽  
Deflection Analysis ◽  
Collapse Behavior

The curved plate has been extensively used as a structural member in many industrial fields, especially the shipbuilding industry. The present study investigated the ultimate strength and collapse behavior of the simply supported curved plate under a longitudinal compressive load. To do this, experimental apparatuses for evaluating the buckling collapse test of the curved plates was developed. Then, a series of buckling collapse experiments was carried out by considering the flank angle, slenderness ratio, and aspect ratio of plates. To examine the fundamental buckling and collapse behavior of the curved plate, elastoplastic large deflection analysis was performed using the commercial finite element analysis program. On the basis of both the experimental and FE analysis, the effects of the flank angle, slenderness ratio, and aspect ratio on the characteristics of the buckling and collapse behavior of the curved plates are discussed. Finally, the empirical design formula for predicting the ultimate strength of curved plates was derived. The proposed empirical formula is a good indicator for estimating the behavior of the curved plate.

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