scholarly journals Large Deflection Elastic-Plastic Dynamic Response of Stiffened Shells of Revolution

1974 ◽  
Vol 96 (2) ◽  
pp. 87-95 ◽  
Author(s):  
J. A. Stricklin ◽  
W. E. Haisler ◽  
W. A. Von Riesemann
Keyword(s):  
Finite Element Method ◽  
Dynamic Response ◽  
Large Deflection ◽  
Time Integration ◽  
Computer Code ◽  
The Finite Element Method ◽  
Shells Of Revolution ◽  
Geometric Nonlinearities ◽  
Elastic Plastic ◽  
Stiffened Shells

This paper presents the formulation and check-out problems for a computer code DYNAPLAS, which analyzes the large deflection elastic-plastic dynamic response of stiffened shells of revolution. The formulation for spacial discretization is by the finite element method with finite differences being used for the evaluation of the pseudo forces due to material and geometric nonlinearities. Time integration is by the Houbolt method or central differences. The stiffeners may be due to concentrated or distributed eccentric rings and spring supports at arbitrary angles around the circumference of the elements. Check-out problems include the comparison of solutions from DYNAPLAS with experimental and other computer solutions for rings and conical and cylindrical shells. A hypothetical submarine including stiffeners and missile tube is studied under a combination of hydrostatic and dynamically applied asymmetrical pressure loadings.

Transient Dynamic Response of Arbitrary Stiffened Shells by the Finite Element Method

1995 ◽  
Vol 117 (1) ◽  
pp. 11-16 ◽  
Author(s):  
G. Sinha ◽  
M. Mukhopadhyay
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Dynamic Response ◽  
Bridge Engineering ◽  
Stiffened Plates ◽  
The Finite Element Method ◽  
Stiffened Shells ◽  
Triangular Shell Element ◽  
Plates And Shells ◽  
Element Method

Stiffened plates and shells often find wide application in bridge engineering, aircraft, ship and allied industries owing to its high strength to weight ratios. They are often subjected to dynamic loading such as air blast loading, for which detailed dynamic analysis is required to study the structure under these conditions. In the present approach, the dynamic response of stiffened plates and shells has been investigated by the finite element method employing a high precision arbitrary-shaped triangular shell element in which stiffeners may lie in any arbitrary direction within the element. This provides greater flexibility in the mesh generation. The governing undamped equations of motion have been solved by Newmark’s method for direct time integration. The dynamic response of plates and shells with or without stiffeners, subjected to different kinds of load-history have been studied and results are compared with the published analytical results.

The Nonlinear Dynamic Analysis of Shells of Revolution With Asymmetric Properties by the Finite Element Method

1975 ◽  
Vol 97 (3) ◽  
pp. 163-171 ◽  
Author(s):  
S. Klein
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Nonlinear Dynamic ◽  
Large Deflection ◽  
Nonlinear Dynamic Analysis ◽  
Flow Rule ◽  
The Finite Element Method ◽  
Difference Matrix ◽  
Elastic Plastic ◽  
Element Method

A large deflection elastic-plastic analysis for general structures by the finite element method is presented. A Von Mises yield condition, its associated flow rule, and isotropic hardening are assumed. Nonlinear forces, due to nonlinear strain-displacement relations, plastic strains, and thermal gradients are developed for static and dynamic analyses and specialized for shell of revolution finite elements with asymmetric properties. The nonlinear dynamic equations are converted to a linear finite difference matrix equation, based on a nonlinear form of the Newmark Beta time integration method. A computer program, SABOR/DRASTIC 6, is used to demonstrate static, dynamic, and dynamic buckling solutions containing large deflection elastic-plastic response of shells with asymmetric properties and loads.

Inelastic, Nonlinear Analysis of Stiffened Shells of Revolution by Numerical Integration

1974 ◽  
Vol 96 (2) ◽  
pp. 121-130 ◽  
Author(s):  
H. S. Levine ◽  
V. Svalbonas
Keyword(s):  
Numerical Integration ◽  
Cross Sections ◽  
Thermal Loading ◽  
Large Deflection ◽  
Kinematic Hardening ◽  
Integration Scheme ◽  
Shells Of Revolution ◽  
Stiffened Shells ◽  
Numerical Integration Scheme ◽  
Deflection Analysis

This paper describes the latest addition to the STARS system of computer programs, STARS-2P, for the plastic, large deflection analysis of axisymmetrically loaded shells of revolution. The STARS system uses a numerical integration scheme to solve the governing differential equations. Several unique features for shell of revolution programs that are included in the STARS-2P program are described. These include orthotropic nonlinear kinematic hardening theory, a variety of shell wall cross sections and discrete ring stiffeners, cyclic and nonproportional mechanical and thermal loading capability, the coupled axisymmetric large deflection elasto-plastic torsion problem, an extensive restart option, arbitrary branching capability, and the provision for the inelastic treatment of smeared stiffeners, isogrid, and waffle wall constructions. To affirm the validity of the results, comparisons with available theoretical and experimental data are presented.

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