Out-of-Plane Stability Analysis of Crane Jib with Auxiliary Bracing

2014 ◽  
Vol 1078 ◽  
pp. 201-205
Author(s):  
Teng Fei Wang ◽  
Peng Lan ◽  
Nian Li Lu
Keyword(s):  
Differential Equation ◽  
Finite Element Method ◽  
Finite Element ◽  
Characteristic Equation ◽  
Order Effect ◽  
The Finite Element Method ◽  
Analysis Model ◽  
Lateral Direction ◽  
Out Of Plane ◽  
Deformation Compatibility

The analysis model is built to investigate the out-of-plane stability of crane jib with auxiliary bracing. Considering the second-order effect, the analytical expression of the out-of-plane buckling characteristic equation for the crane jib with auxiliary bracing is obtained by establishing the bending deflection differential equation of jib under the instability critical state with the method of differential equation. The equilibrium equation of the cable converging point in the lateral direction is introduced to solve the differential equation besides the boundary conditions and deformation compatibility equations. With the characteristic equation, the critical compression or the critical lifting load can be easily obtained. The characteristic equation is analytically expressed and the analytical results obtained agree very well with the finite element method (FEM) results. The validity of the characteristic equation is verified.

Out-of-Plane Stability Analysis for Crane Jib with Single Cable Considering Lateral Flexibility of the Cable Fixed Joint

2014 ◽  
Vol 685 ◽  
pp. 240-244 ◽  
Author(s):  
Peng Lan ◽  
Teng Fei Wang ◽  
Nian Li Lu
Keyword(s):  
Differential Equation ◽  
Finite Element Method ◽  
Characteristic Equation ◽  
Lateral Stiffness ◽  
Stiffness Coefficient ◽  
The Finite Element Method ◽  
Lateral Direction ◽  
Out Of Plane ◽  
Lateral Constraint ◽  
The Stability

The out-of-plane stability of crane jib is studied considering the lateral flexibility of the fixed joint. The analytical expression of the out-of-plane buckling characteristic equation for the crane jib with single cable is obtained by establishing the bending deflection differential equation of jib under the instability critical state with the method of differential equation. The equilibrium equation of the fixed point in the lateral direction is introduced to solve the differential equation besides the boundary conditions. The analytical results obtained agree very well with the finite element method (FEM) results. To consider the lateral flexibility of the cable fixed joint, a dimensionless stiffness coefficient measuring the lateral constraint was introduced to derive the out-of-plane buckling characteristic equation. The degeneration forms of the characteristic equation under the limit cases of zero lateral stiffness, infinite lateral stiffness are further discussed. And the influence of the lateral stiffness of fixed joint on the stability of jib is investigated. It is shown that the increase of the lateral stiffness will significantly improve the buckling load of the crane jib especially when the lateral stiffness is very small.

Out-of-Plane Stability Analysis of Combined Boom System with Main Jib and Fly Jib

2014 ◽  
Vol 685 ◽  
pp. 217-223
Author(s):  
Peng Lan ◽  
Teng Fei Wang ◽  
Nian Li Lu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stability Analysis ◽  
Bearing Capacity ◽  
The Finite Element Method ◽  
Torsional Deformation ◽  
Out Of Plane ◽  
Dip Angle ◽  
The Stability ◽  
Deformation Compatibility

The objective of this study is to develop an analytical method for the out-of-plane stability of combined boom system with main jib and fly jib. Boundary conditions and deformation compatibility equations are introduced to get the analytical expression of out-of-plane buckling characteristic equation by establishing the bending and torsional deformation differential equations of jibs and the strut under the instability critical state. The analytical results obtained agree well with the finite element method (FEM) results. The influence of the dip angle between the main jib and the fly jib on the stability of the boom system is discussed. And the comparison between the combined boom system and the bending beam-column in the stable bearing capacity is made. It is shown that the upwards-bend boom system is much stronger than the downwards-bend boom system. There exists a certain dip angel between the main jib and the fly jib that makes the stable bearing capacity biggest. By comparing the stable bearing capacity of boom system with that of the bending beam-column, it is obtained that the flexible tension system will significantly improve the stable bearing capacity of the bending beam-column.

Flexibility of Trunnion Piping Elbows

1990 ◽  
Vol 112 (2) ◽  
pp. 184-187 ◽  
Author(s):  
G. D. Lewis ◽  
Y. J. Chao
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Chemical Plants ◽  
The Finite Element Method ◽  
Flexibility Analysis ◽  
Piping Systems ◽  
Out Of Plane ◽  
Element Method

Trunnion piping elbows are commonly used in piping systems in power and chemical plants. The flexibility of the trunnion piping elbows is normally less than that of the plain piping elbows. In this paper, the finite element method is used to derive the in-plane and out-of-plane flexibility factors of trunnion piping elbows. The results can be easily adopted into the piping flexibility analysis.

A Study on the Stability of a Mast Structure for Erecting a Large Crane

2011 ◽  
Vol 110-116 ◽  
pp. 1483-1490
Author(s):  
Hoon Hyung Jung ◽  
Chae Sil Kim
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Structural Analysis ◽  
Analytical Model ◽  
Gantry Crane ◽  
The Finite Element Method ◽  
Analysis Model ◽  
The Stability ◽  
The One ◽  
Two Stages

This paper describes a finite element structural analysis model and determines analysis methods appropriate for determining the stability of the mast of a crane. This analysis model allows various analysis approaches to be applied to the conditions affecting the construction of a large gantry crane in order to ensure the stability of the mast of the crane. The finite element method is used as a way to construct an analytical model that can help ensure the stability of the mast in two stages. The model is used in a two-stage analytical process that takes into account the conditions of the model. In this way, the model can be used to judge the stability of the mast. By allowing variation in the analysis approach used for the crane mast, the analysis model may be changed if the conditions of the one-girder gantry crane require. Designers may apply this method for the active analysis of the stability of a crane mast.

Development of a Model for Analysing Radial Flow of Slightly Compressible Fluids

2009 ◽  
Vol 62-64 ◽  
pp. 629-636
Author(s):  
John A. Akpobi ◽  
E.D. Akpobi
Keyword(s):  
Differential Equation ◽  
Finite Element Method ◽  
Finite Element ◽  
Finite Difference ◽  
Radial Flow ◽  
Compressible Fluids ◽  
The Finite Element Method ◽  
Time Approximation ◽  
Slightly Compressible ◽  
Fluid Properties

In this work, we develop a finite element-finite difference method to solve the differential equation governing the radial flow of slightly compressible fluids. The finite element method is used to carry out spatial approximations so as to study the variation of fluid properties at the various nodes to which effect we divided the entire radial domain of the fluid into a mesh of four radial 1-D quadratic elements which exposes nine nodes to intense study. Time approximation is done with the aid of the Crank-Nicolson finite difference scheme.

scholarly journals STRENGTH ANALYSIS OF VARIABLE RIGIDITY SLABS ON ELASTIC SUPPORT WITH VARIABLE SUBGRADE RATIO

2019 ◽  
pp. 201-208
Author(s):  
E. V. Barmekova
Keyword(s):  
Differential Equation ◽  
Finite Element Method ◽  
Finite Element ◽  
Elastic Support ◽  
Strength Analysis ◽  
The Finite Element Method ◽  
Variable Rigidity ◽  
Different Thickness ◽  
Element Method

The paper presents the strength analysis of variable rigidity slabs on elastic support with the variable subgrade ratio. The analysis is based on a solution of the differential equation of the slab flexure using the finite element method. The results are obtained for different slabs on the elastic support. The results are presented for the different thickness of the upper layer of the two-layer slab on the elastic support with the variable subgrade ratio.

Regular papers / Articles ordinaires A numerical approach for the static analysis of the body of pressurized dry gas holders

2003 ◽  
Vol 30 (2) ◽  
pp. 381-390
Author(s):  
L H You ◽  
J J Zhang ◽  
H B Wu ◽  
R B Sun
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Plane Deformation ◽  
Numerical Approach ◽  
Gas Pressure ◽  
The Body ◽  
The Finite Element Method ◽  
Out Of Plane ◽  
Plane Bending ◽  
Element Method

In this paper, a numerical method is developed to calculate deformations and stresses of the body of dry gas holders under gas pressure. The deformations of the wall plates are decomposed into out-of-plane bending and in-plane deformation. The out-of-plane bending of the wall plates is described by the theory of orthotropic plates and the in-plane deformation by the biharmonic equation of flat plates under plane stress. The theories of beam columns and beams are employed to analyze the columns and corridors, respectively. By considering compatibility conditions between the members and boundary conditions, equations for the determination of deformations and stresses of dry gas holders under gas pressure are obtained. Both the proposed approach and the finite element method are used to investigate the deformations and stresses of the body of a dry gas holder under gas pressure. The results from the proposed method agree with those from the finite element method. Because far fewer unknowns are involved, the proposed method is computationally more efficient than both the finite element method and the series method developed from the theory of stiffened plates.Key words: numerical approach, body of dry gas holders, gas pressure.

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