The general solution of thin-walled toroidal shells with various boundary conditions and subjected to arbitrary loadings

1987 ◽  
Vol 57 (3) ◽  
pp. 166-174
Author(s):  
Xia Zi -Hui ◽  
Zhang Wei
Keyword(s):  
General Solution ◽  
Boundary Conditions ◽  
Various Boundary Conditions ◽  
Thin Walled ◽  
Toroidal Shells

The Morley-Koiter Equations for Thin-Walled Circular Cylindrical Shells: Part 2—Solution for a Line Loaded Cylinder With Close-Spaced Circumferential Grooves

1973 ◽  
Vol 40 (4) ◽  
pp. 966-970 ◽  
Author(s):  
C. P. Mangelsdorf
Keyword(s):  
Boundary Conditions ◽  
Evaluation Procedure ◽  
Equilibrium Equations ◽  
Line Load ◽  
Various Boundary Conditions ◽  
Longitudinal Line ◽  
Symmetrical Loading ◽  
Circular Cylindrical Shells ◽  
Simple Supports ◽  
Thin Walled

In Part 1, modified Donnell equilibrium equations were solved for the case of symmetrical loading and supports using Fourier series. An evaluation procedure for various boundary conditions was suggested. In Part 2, an application of the general solution is made for a shell with small circumferential grooves (or ribs) subjected to a longitudinal line load after approximations to allow for such groves are introduced. The solution is completed for boundary conditions of classical simple supports and relaxed simple supports and the results compared with experimental data.

Elastic Local Buckling of Transversely Isotropic Thin-Walled Compression Members with Varying Thickness

2004 ◽  
Vol 261-263 ◽  
pp. 627-632
Author(s):  
S.K. Jeong ◽  
Soon Jong Yoon ◽  
Sun Kyu Cho
Keyword(s):  
Boundary Conditions ◽  
Local Buckling ◽  
Transversely Isotropic ◽  
Longitudinal Direction ◽  
Graphical Form ◽  
Width Ratio ◽  
Various Boundary Conditions ◽  
Varying Thickness ◽  
Compression Members ◽  
Thin Walled

The problem addressed in this paper is the elastic local buckling of thin-walled compression members whose plate components are tapered in thickness along the longitudinal direction. In the design of structural system in construction, shipbuilding, and aerospace industries, such structural plate components are frequently encountered. The elastic buckling analysis of transversely isotropic plates with varying thickness and various boundary conditions is performed to derive the buckling equation of thin-walled members composed of tapered plate components. In the analytical solution, the energy approach is adopted. The analytical results are presented in a graphical form in which the plate buckling coefficients are suggested with respect to the width ratio of plate elements and the degree of taper. In addition, using the buckling equations of plates with specific boundary conditions, the simplified form of equation for the local buckling coefficient of structural members such as L-section, T-section, and Box-section is suggested.

Stresses in thin-walled beams subjected to a traversing mass under a pulsating force

2010 ◽  
Vol 224 (11) ◽  
pp. 2363-2372 ◽  
Author(s):  
M Dehestani ◽  
A Vafai ◽  
M Mofid
Keyword(s):  
Differential Equations ◽  
Dynamic Response ◽  
Boundary Conditions ◽  
Moving Mass ◽  
Various Boundary Conditions ◽  
The Past ◽  
Mass Properties ◽  
Thin Walled ◽  
Extremum Value ◽  
Maximum Stresses

An analytical—numerical method to determine the dynamic response of beams with various boundary conditions subjected to a moving mass under a pulsating force is explained. Governing partial differential equations of the system are changed to a convenience type of ordinary differential equations to be solved through a Runge—Kutta scheme. Pulsating force specifications influenced the dynamic response of the beam depending on the moving mass properties. Results showed the significant effect of the boundary conditions on the dynamic response of the beam, which was considered rarely in the past. Stiffening the constraints reduces the maximum stresses in the beams. Results for identical unsymmetrical beams indicated that stresses in beams would be less when the moving object experiences a stiffer constraint in its start point on the beam. A new extremum value was obtained for the dynamic response of the beam, as the pulsating force on the moving mass oscillates with a special frequency regarded as the main natural frequency of the beam under the moving mass.

Upon Impact Numerical Modeling of Foam Materials

2017 ◽  
Vol 54 (2) ◽  
pp. 195-202
Author(s):  
Vasile Nastasescu ◽  
Silvia Marzavan
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Modeling ◽  
Numerical Analysis ◽  
Numerical Methods ◽  
Boundary Conditions ◽  
General Character ◽  
Foam Material ◽  
Various Boundary Conditions ◽  
Specific Behaviour

The paper presents some theoretical and practical issues, particularly useful to users of numerical methods, especially finite element method for the behaviour modelling of the foam materials. Given the characteristics of specific behaviour of the foam materials, the requirement which has to be taken into consideration is the compression, inclusive impact with bodies more rigid then a foam material, when this is used alone or in combination with other materials in the form of composite laminated with various boundary conditions. The results and conclusions presented in this paper are the results of our investigations in the field and relates to the use of LS-Dyna program, but many observations, findings and conclusions, have a general character, valid for use of any numerical analysis by FEM programs.

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