Discrete energy method for the analysis of cylindrical shells

1987 ◽  
Vol 27 (6) ◽  
pp. 753-762 ◽  
Author(s):  
P.K. Mishra ◽  
S.S. Dey
Keyword(s):  
Energy Method ◽  
Cylindrical Shells ◽  
Discrete Energy ◽  
Discrete Energy Method

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.

The Backing Design in the Free Damping Cylindrical Shell Damping Test

2013 ◽  
Vol 437 ◽  
pp. 475-480
Author(s):  
Bang Hui Yin ◽  
Min Qing Wang
Keyword(s):  
Cylindrical Shell ◽  
Energy Method ◽  
Design Problem ◽  
Loss Factor ◽  
Cylindrical Shells ◽  
Harmonic Response ◽  
Different Types ◽  
Damping Loss Factor

The ANSYS harmonic response results are post-processed with the energy method to obtain the damping loss factor (DLF) of different types of free damping structures. Firstly, the DLF of free damping cylindrical shell in air is compared with DLF of free damping plate in air. Secondly, the DLF of free damping cylindrical shell with stiffened ribs in air is compared with that without stiffened ribs in air. Thirdly, the DLF of free damping cylindrical shell in water is compared with the DLF of free damping plate in water. Fourthly, the DLF of free damping cylindrical shell with stiffened ribs in water is compared with that without stiffened ribs in water. In the end, based on the above analysis, the backing design problem in air and water are discussed. Studies have shown that: DLF of free damping cylindrical shell is close to that of free damping plate in air; DLF of free damping cylindrical shell with stiffened ring ribs is close to that without stiffened ring ribs in air; When testing free damping cylindrical shells DLF in air, plate with the same thickness can be used as the backing; DLF of free damping plate is close to that of free damping cylindrical shell in water; DLF of free damping cylindrical shell with stiffened ring ribs is close to that without stiffened ring ribs in water; When testing free damping cylindrical shells DLF in water, plate with the same thickness can be used as the backing.

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