scholarly journals Deformation and Stress Analysis of Catenary Shell of Revolution

2021 ◽  
Author(s):  
Bohua Sun
Keyword(s):  
Stress Response ◽  
Numerical Simulations ◽  
Stress Analysis ◽  
Geometric Parameter ◽  
Shell Of Revolution ◽  
Shells Of Revolution ◽  
Governing Equations ◽  
Spherical Shells ◽  
Mixed Formulations ◽  
Better Than

The catenary shells of revolution are widely used in constructions due to their unique mechanics' feature. However, no publications on this type of shells can be found in the literature. To have a better understanding of the deformation and stress of the catenary shells of revolution, we formulate the principal radii for two kinds of catenary shells of revolution and their displacement type governing equations. Numerical simulations are carried out based on both Reissner-Meissner mixed formulations and displacement formulations. Our investigations show that both deformation and stress response of elastic catenary shells of revolution are sensitive to its geometric parameter $c$, and reveal that the mechanics of the catenary shells of revolution does much better than the spherical shells. Two complete codes in Maple are provided.

Limit Pressures of Cylindrical and Spherical Shells

2000 ◽  
Vol 123 (3) ◽  
pp. 288-292 ◽  
Author(s):  
Arturs Kalnins ◽  
Dean P. Updike
Keyword(s):  
Geometric Parameter ◽  
Cylindrical Shells ◽  
Length Effect ◽  
Spherical Shells ◽  
Simply Supported ◽  
Limit Pressure ◽  
Section Viii ◽  
Division 2

Tresca limit pressures for long cylindrical shells and complete spherical shells subjected to arbitrary pressure, and several approximations to the exact limit pressures for limited pressure ranges, are derived. The results are compared with those in Section III-Subsection NB and in Section VIII-Division 2 of the ASME B&PV Code. It is found that in Section VIII-Division 2 the formulas agree with the derived limit pressures and their approximations, but that in Section III-Subsection NB the formula for spherical shells is different from the derived approximation to the limit pressure. The length effect on the limit pressure is investigated for cylindrical shells with simply supported ends. A geometric parameter that expresses the length effect is determined. A formula and its limit of validity are derived for an assessment of the length effect on the limit pressures.

Pneumatic pulsator design as an example of numerical simulations in engineering applications

2012 ◽  
Vol 2 (1) ◽  
Author(s):  
Krzysztof Wołosz ◽  
Jacek Wernik
Keyword(s):  
Fluid Dynamics ◽  
Numerical Simulation ◽  
Cast Iron ◽  
Numerical Simulations ◽  
Stress Analysis ◽  
Aluminium Alloy ◽  
Loose Material ◽  
Engineering Applications ◽  
Pressure Losses ◽  
Pneumatic Impact

AbstractThe paper presents the part of the investigation that has been carried out in order to develop the pneumatic pulsator which is to be employed as an unblocking device at lose material silo outlets. The part of numerical simulation is reported. The fluid dynamics issues have been outlined which are present during supersonic airflow thought the head of the pulsator. These issues describe the pneumatic impact phenomenon onto the loose material bed present in the silo to which walls the pulsator is assembled. The investigation presented in the paper are industrial applicable and the result is the working prototype of the industrial pneumatic pulsator. The numerical simulation has led to change the piston shape which is moving inside the head of the pulsator, and therefore, to reduce the pressure losses during the airflow. A stress analysis of the pulsator controller body has been carried out while the numerical simulation investigation part of the whole project. The analysis has made possible the change of the controller body material from cast iron to aluminium alloy.

scholarly journals Non-linear buckling analysis of functionally graded shallow spherical shells

2009 ◽  
Vol 31 (1) ◽  
pp. 17-30 ◽  
Author(s):  
Dao Huy Bich
Keyword(s):  
External Pressure ◽  
Buckling Analysis ◽  
Functionally Graded ◽  
Power Law Distribution ◽  
Governing Equations ◽  
Spherical Shells ◽  
Buckling Loads ◽  
Linear Buckling ◽  
Non Linear ◽  
Linear Buckling Analysis

In the present paper the non-linear buckling analysis of functionally graded spherical shells subjected to external pressure is investigated. The material properties are graded in the thickness direction according to the power-law distribution in terms of volume fractions of the constituents of the material. In the formulation of governing equations geometric non-linearity in all strain-displacement relations of the shell is considered. Using Bubnov-Galerkin's method to solve the problem an approximated analytical expression of non-linear buckling loads of functionally graded spherical shells is obtained, that allows easily to investigate stability behaviors of the shell.

Fiber Trajectories on Shells of Revolution—An Engineering Approach

2011 ◽  
pp. 49-64
Author(s):  
Sotiris Koussios
Keyword(s):  
Coefficient Of Friction ◽  
Shell Of Revolution ◽  
Shells Of Revolution ◽  
Engineering Approach

Abstract This chapter outlines a method for mathematically describing fiber trajectories on a shell of revolution. After a short outline of the basic geometry of shells of revolution, the focus shifts to fiber trajectories and their characteristic metrics, angles, and vectors. Next, the chapter focuses on the determination of various kinds of curvatures that eventually lead to the derivation of (non-) geodesic fiber trajectories according to a predetermined coefficient of friction. It concludes with the analysis of nongeodesics on conical segments, annuli, and cylinders.

Fluid exchange in skeletal muscle with viscoelastic blood vessels

1987 ◽  
Vol 253 (6) ◽  
pp. H1548-H1556
Author(s):  
J. Lee ◽  
E. P. Salathe ◽  
G. W. Schmid-Schonbein
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Skeletal Muscle ◽  
Blood Cells ◽  
Constant Pressure ◽  
Tissue Fluid ◽  
Flow State ◽  
Governing Equations ◽  
Fluid Exchange ◽  
Better Than

A mathematical model of capillary-tissue fluid exchange in a viscoelastic blood vessel is presented, and the Landis occlusion experiment is simulated. The model assumes that the fluid exchange is governed by Starling's law and that the protein and red blood cells are conserved in the capillary. Before occlusion, in the steady flow state, the pressure in the capillary decreases from the arterial to venous end due to viscous dissipation. After occlusion a constant pressure is established along the capillary. We assume the capillary to be distensible with viscoelastic wall properties. Immediately following occlusion an instantaneous distension of the capillary occurs. The vessel continues to expand viscoelastically while fluid is filtered for a period of several minutes, until it reaches an equilibrium state. A full numerical solution of the governing equations has been obtained. We use this model to compute the distance variation between two labeled erythrocytes as obtained in the Landis occlusion experiment and compare the results with experimental data obtained recently for the spinotrapezius muscle in our laboratory. The new model can fit the experimental data better than previous models that neglect the distensibility of the capillaries.

Dynamic Buckling of Shallow Spherical Shells

1973 ◽  
Vol 40 (2) ◽  
pp. 411-416 ◽  
Author(s):  
R. E. Ball ◽  
J. A. Burt
Keyword(s):  
Computer Program ◽  
Dynamic Analysis ◽  
Digital Computer ◽  
Large Range ◽  
Dynamic Buckling ◽  
Geometrically Nonlinear ◽  
Shells Of Revolution ◽  
Spherical Shells ◽  
Static And Dynamic Analysis ◽  
Nonlinear Static

The dynamic behavior of clamped shallow spherical shells subjected to axisymmetric and nearly axisymmetric step-pressure loads is examined using a digital computer program for the geometrically nonlinear static and dynamic analysis of arbitrarily loaded shells of revolution. A criterion for dynamic buckling under the nearly axisymmetric load is proposed and critical buckling pressures are determined for a large range of shell sizes.

Estimation of Vehicle Sideslip Angle Using Strong Tracking SRUKF

2014 ◽  
Vol 614 ◽  
pp. 267-270
Author(s):  
Jian Feng Chen ◽  
Xiao Dong Sun ◽  
Long Chen ◽  
Hao Bin Jiang
Keyword(s):  
Numerical Simulations ◽  
High Speed ◽  
State Observer ◽  
Stability Control ◽  
Vehicle Model ◽  
Sideslip Angle ◽  
Magic Formula ◽  
The Stability ◽  
Accuracy Performance ◽  
Better Than

Sideslip angle is an important parameter for the stability control of high-speed vehicles. In this paper, a novel state observer based on strong tracking SRUKF is presented to estimate the sideslip angle. Besides the strong tracking SRUKF algorithm, a 2-DOF vehicle model and a “Magic Formula” are utilized to construct the state observer. Numerical simulations are implemented to testify on the accuracy performance of estimation based on the strong tracking SRUKF and standard UKF. The results show that the trends using two types of filters are accordant with the theoretic values, and the accuracy of the former is better than the latter.

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