Lower-bound shakedown analysis of a simply supported plate carrying a uniformly distributed load and subjected to cyclic thermal loading

1984 ◽  
Vol 26 (9-10) ◽  
pp. 471-475 ◽  
Author(s):  
A.C.F. Cocks
Keyword(s):  
Lower Bound ◽  
Thermal Loading ◽  
Shakedown Analysis ◽  
Cyclic Thermal Loading ◽  
Simply Supported ◽  
Distributed Load ◽  
Uniformly Distributed Load

Application of the Non-Cyclic Method of Shakedown Analysis to Problems With Cyclically Moving Thermal Stress

2014 ◽  
Author(s):  
Wolf Reinhardt ◽  
Reza Adibi-Asl
Keyword(s):  
Thermal Stress ◽  
Stress State ◽  
Lower Bound ◽  
Thermal Load ◽  
Thermal Loading ◽  
Cyclic Loads ◽  
Thermal Loads ◽  
Shakedown Analysis ◽  
Cyclic Thermal Loading ◽  
The Mean

The non-cyclic method of shakedown analysis allows the entire ratchet boundary to be determined for a given set of monotonic and cyclic loads on a component. The method is based on an extension of the lower bound shakedown theorem. Typically, the loading of interest to shakedown consists of cyclic thermal loading acting in conjunction with cyclic and monotonic (mean) primary loads, such as pressure. To date, a certain class of spatially moving cyclic thermal loads could not be analyzed with numerical implementations of the non-cyclic method. In these cases, the mean thermal load cannot be balanced by a self-equilibrating stress state, and the component can ratchet under a purely thermal load. This paper examines why the restriction on the non-cyclic method and similar other approaches to shakedown analysis exists, and proposes an extension with the help of which an analysis of this class of problems becomes feasible. The method is demonstrated on a number of simple examples.

Shakedown Analysis Combined With the Problem of Heat Conduction

2010 ◽  
Author(s):  
Jaan-Willem Simon ◽  
Min Chen ◽  
Dieter Weichert
Keyword(s):  
Heat Conduction ◽  
Lower Bound ◽  
Heat Exchangers ◽  
Thermal Loading ◽  
Heat Conduction Problem ◽  
Simplified Model ◽  
Interior Point Algorithm ◽  
Engineering Systems ◽  
Tube Sheet ◽  
Shakedown Analysis

This paper deals with the computation of the shakedown load of engineering systems subjected to varying loads. In particular, we focus on thermal loading and the resulting heat conduction problem in combination with shakedown analysis. The analysis is based on the lower bound shakedown theorem by Melan. The calculation is carried out by use of an interior-point algorithm. Emphasis is placed on the presentation of theoretical derivations whereas numerical aspects are out of scope and will be presented elsewhere. The methodology is illustrated by the application to a simplified model of a tube sheet in heat exchangers.

Analysis of an Orthotropic Plate by Maclaurin's Series

1963 ◽  
Vol 67 (626) ◽  
pp. 126-127 ◽  
Author(s):  
N. R. Rajappa ◽  
D. V. Reddy
Keyword(s):  
Cross Section ◽  
Orthotropic Plate ◽  
Practical Applications ◽  
Simply Supported ◽  
Isotropic Plates ◽  
Distributed Load ◽  
Functions Of Two Variables ◽  
Uniformly Distributed Load ◽  
Rectangular Orthotropic Plate

A method is presented for the analysis of a simply-supported rectangular orthotropic plate subjected to a uniformly distributed load by the application of Maclaurin's series. The solutions have practical applications in the design of interconnected beam systems because of the elastic equivalence of the grid framework to an orthotropic plate.The application of Maclaurin's series to the analysis of beams in bending was first described by Hetényi. Recently Reddy and Gangadharan described a modified approach for beams with stepped variations in cross section. Ballesteros has extended the method to functions of two variables in the analysis of isotropic plates in bending.

Shakedown Analysis Combined With the Problem of Heat Conduction

2012 ◽  
Vol 134 (2) ◽  
Author(s):  
Jaan-Willem Simon ◽  
Min Chen ◽  
Dieter Weichert
Keyword(s):  
Heat Conduction ◽  
Lower Bound ◽  
Heat Exchangers ◽  
Thermal Loading ◽  
Heat Conduction Problem ◽  
Simplified Model ◽  
Interior Point Algorithm ◽  
Tube Sheet ◽  
Engineering Structures ◽  
Shakedown Analysis

This paper deals with the computation of shakedown loads of engineering structures subjected to varying loads. In particular, we focus on thermal loading and the resulting heat conduction problem in combination with shakedown analysis. The analysis is based on the lower bound shakedown theorem by Melan. The calculation is carried out by use of an interior-point algorithm. Emphasis is placed on the presentation of theoretical derivations, whereas numerical aspects are out of scope. The methodology is illustrated by application to a simplified model of a tube sheet in heat exchangers.

scholarly journals Simulation and Experimental Substantiation of Beam Deflection under Guided End Conditions

2020 ◽  
Vol 9 (2) ◽  
pp. 1782-1791
Keyword(s):  
Point Load ◽  
Beam Deflection ◽  
Loading Conditions ◽  
Test Results ◽  
Physical Test ◽  
Simply Supported ◽  
Distributed Load ◽  
Uniformly Distributed Load ◽  
End Conditions ◽  
Loading Fixture

This paper studies the nonlinear deflection characteristics of a rectangular cross sectional beam with guided support conditions. In this study two different end conditions namely guided – guided and guided – simply supported have been examined. Beams made with two dissimilar materials for instance, aluminum and steel have been considered for this study. Different loading conditions namely point load and the amalgamation of uniformly distributed load and point load have been taken into account in this study. The nonlinear response of a beam under static loading condition is influenced by various parameters like sectional properties of the beam, material, loading and boundary conditions etc. A separate loading fixture was fabricated using steel to apply the load (Point load and uniformly distributed load). The loading fixture was validated by performing an experimental measurement of the deflection under various loading conditions on a simply supported beam. The corresponding theoretical displacement values were calculated using the findings in literature and compared with test results .Both the results were found matching with each other with an average variation of just 10%. Based on this validation lesson, the loading fixture was incorporated in the actual study. Displacement values from the nonlinear static analysis were predicted using Finite Element Method and correlation was made with the experimental values for the actual beam setup. Close correlation among the numerical and physical test results was achieved and the maximum error was 8%.

Atomic Simulation of the Bending Deformation of a Single-Crystal Simply Supported Nano-Beam

2009 ◽  
Vol 79-82 ◽  
pp. 1185-1188 ◽  
Author(s):  
Wen Bin Ni ◽  
Jian Wei Zhao ◽  
Yun Hong Liu ◽  
Feng Ying Wang ◽  
Xing Yin
Keyword(s):  
Mechanical Properties ◽  
Single Crystal ◽  
Deformation Behavior ◽  
Surface Effect ◽  
Dynamics Simulation ◽  
Nanoelectromechanical Systems ◽  
Atomic Simulation ◽  
Simply Supported ◽  
Distributed Load ◽  
Uniformly Distributed Load

Advanced fabrication techniques to miniaturize electromechanical systems have brought us into the regime of nanoelectromechanical systems (NEMS). Understanding the mechanical properties of NEMS components is of fundamental importance in the operation of these devices. In this paper, we have reported the deformation behavior of a single-crystal simply supported nano-beam under the uniformly distributed load. By using the molecular dynamics simulation, we have investigated the influence of span the nano-beam on the bending characters. Due to surface effect, the nano-beam shows a different behavior under the uniformly distributed load.

Under Uniformly Distributed Load are Fixed on one Side (Simple) on the Edge Simply Supported and Fixed Half Bending of Rectangular Plates

2012 ◽  
Vol 152-154 ◽  
pp. 840-845
Author(s):  
Ying Jie Chen ◽  
Bao Lian Fu ◽  
Liang Wang ◽  
Jie Wu
Keyword(s):  
Rectangular Plate ◽  
Variable Method ◽  
Engineering Practice ◽  
Rectangular Plates ◽  
Simply Supported ◽  
Distributed Load ◽  
Uniformly Distributed Load ◽  
Surface Deflection ◽  
Mixed Variable

In this paper mixed variable method is generalized to solve the problem of bending of the rectangular plate with one side is fixed (simple) on the edge simply supported and fixed half under the action of a uniformly distributed load. Gives the surface deflection equation and a chart, the chart can be directly applied to engineering practice.

Stress and displacement analysis of perforated circular plates

2020 ◽  
Vol 6 (3) ◽  
pp. 150
Author(s):  
Mustafa Halûk Saraçoğlu ◽  
Fethullah Uslu ◽  
Uğur Albayrak
Keyword(s):  
Basic Problem ◽  
Plate Theory ◽  
Circular Plates ◽  
Classical Plate Theory ◽  
Perforated Plates ◽  
Simply Supported ◽  
Distributed Load ◽  
Uniformly Distributed Load ◽  
Plate Models ◽  
Area Percentage

Critical deflection and stress values of perforated circular plates under loads has an important role on the design criteria. For the perforated circular plates, the basic problem is determining how they have a perforation schema for the most suitable design. For this purpose, 10 different perforated circular plate models were presented and their static analysis was studied. All of the models have the same open area percentage but different number of holes. In this way, it was more convenient to compare the results. The circular plates were analyzed under their self-weight and uniformly distributed load with different nine thickness to diameter ratios obtained based on Classical Plate Theory. In addition, two set of analyses have been performed on the circular plates for fixed supported and simply supported boundary conditions. As an example, for the 6th model critical displacement and stress values under self-weight and under uniformly distributed load are investigated in detail. Designers of perforated circular plates can use the graphics presented in this study. The present study also purposes the shape optimization of thin circular perforated plates with round and staggered holes.

scholarly journals Lower-Bound Solution of Foundation-Bearing Capacity under Circular Uniformly Distributed Load

2020 ◽  
Vol 2020 ◽  
pp. 1-6 ◽  
Author(s):  
Fang Wei ◽  
Wang Jiao ◽  
Zhang Wan-dongxing ◽  
Shi Li-jun
Keyword(s):  
Lower Bound ◽  
Bearing Capacity ◽  
Three Dimensional ◽  
Friction Angle ◽  
Bound Solution ◽  
Distributed Load ◽  
Uniformly Distributed Load ◽  
Soil Shear Strength ◽  
First Time ◽  
Lower Bound Solution

The semispatial static allowable stress field was constructed by three-dimensional stress columns, and the analytical lower-bound solution of bearing capacity of Mohr–Coulomb foundation beneath circular uniformly distributed load was put forward for the first time. The influence of the amount of stress columns and soil shear strength parameters on the lower-bound solution of the foundation-bearing capacity is analyzed. The research showed that (1) when the number of stress columns is more than 9 (n > 4) and the friction angle is less than 30°, the relative error between the lower-bound solution of the bearing capacity and exact solution is less than 6.6%, (2) the suggested analytical solution is applicable for common clayey materials; thus, the application scope of the analytical lower-bound solution is further expanded, and (3) the influence of cohesion on bearing capacity is linear. However, with the increase of the friction angle, the bearing capacity increases faster and faster under all cohesion levels. The correctness and effectiveness of the proposed method were verified by literature comparison.

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