Method of initial functions in the computation of sandwich plates

Galileev, S. M.; Matrosov, Alexander V.

doi:10.1007/bf00846800

Cited by 12 publications

(3 citation statements)

References 1 publication

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The CR concrete exhibits superior thermal and sound properties than plain concrete as measured by the decrease in thermal conductivity coefficient, increase in sound absorption coefficient and noise reduction coefficient [10].Method of initial functions is used for two dimensional elasto dynamic problems for plain stress and plain strain conditions [11]. Method of initial function is used for the study of composite beams having two layers of orthotropic material and developed governing equation [13].Result obtained with MIF are compared with result obtained by FEM based software ANSYS and it is observed that they are comparable [14].MIF is successfully applied for the analysis of reinforced concrete brick layer [15]The method of initial function is used to see the effect of elastic properties on the behaviour of the beam [16].The deflection obtained by MIF is equal to the deflection obtained by other theories. The normal stress equal to the intensity of loading and shear stress equal to zero at the top of beam are obtain, this shows that MIF is successfully applied for the analysis of beam [17].MIF gives correct result for both shallow and deep beams.…”

Section: Literature Reviewmentioning

confidence: 99%

Study on Behaviour of Flexural Members by Elastic Approach

Asutkar¹,

Shinde²,

Punase³

2016

IJERT

View full text Add to dashboard Cite

Concrete is one the most extensively used construction material all over the world. Many scientists and researchers are in quest for developing alternate construction material that are environment friendly and contribute towards sustainable development. Huge amount of rubber tyres waste is being generating day by day which creates the disposal problem and has many environmental issues. As this scrap rubber waste is an elastic material having less specific gravity, energy absorbent material can be used as a replacement material for obtaining light weight concrete. In present study the modified concrete is prepared by replacing coarse aggregates in concrete with rubber aggregates by varying the replacement proportion from 0% to 20% with increment of 5%. The elastic properties are determined from concrete cubes. 3 cubes for each percentage of replacement are casted and tested after 28 th days of curing. Method of initial functions is used for the analysis of beams. The Method of initial functions (MIF) is an analytical method of elasticity theory from which stresses and displacement can be determined. This attempt of replacing the coarse aggregates with rubber aggregates will save the natural aggregates, reduces weight of structure and also helps achieve sustainability.

show abstract

Section: Literature Reviewmentioning

confidence: 99%

Study on Behaviour of Flexural Members by Elastic Approach

Asutkar¹,

Shinde²,

Punase³

2016

IJERT

View full text Add to dashboard Cite

show abstract

“…The authors used two solutions obtained by the method of vector eigenfunctions [5,6] and boundary conditions different from the force ones they were not considered. In this paper the general solution is composed as a sum of two solutions obtained by the method of initial functions (MIF) [7,8,9,10,11]. This solution is analytical and presented in the form of two trigonometric series with unknown coefficients, and can be used to satisfy not only force boundary conditions but also kinematic and mixed ones.…”

Section: Introductionmentioning

confidence: 99%

A superposition method in the analysis of an isotropic rectangle

Goloskokov¹,

Matrosov²

2016

ams

View full text Add to dashboard Cite

A superposition method to construct a general solution of the equations of the theory of elasticity as a sum of two solutions obtained by a method of initial functions in the form of trigonometric series is considered. The algorithm to get the main relation of the method of initial functions is introduced. Possibilities of the system of analytical calculations Maple for the implementation of some aspects of this algorithm are shown. The results of analyses of a console rectangle is presented.

show abstract

“…The necessity of integrating systems of this type arises, for instance, in mechanics, celestial mechanics and high-energy physics [1][2][3][4].…”

mentioning

confidence: 99%

An embedded method for integrating systems of structurally separated ordinary differential equations

Olemskoy¹

2014

2014 International Conference on Computer Technologies in Physical and Engineering Applications (ICCTPEA)

View full text Add to dashboard Cite

An explicit nested method of integration of systems of structurally separated ordinary differential equations of first and second order is considered. Three-stage design schemes of the third order with automatic step selection for integration of systems of ordinary differential equations of first and second orderare built.An explicit embedded method of the Dormand-Prince type designed for integrating systems of ordinary differential equations of special form is examined. A family of economical third-order numerical schemes for integrating systems of structurally separated ordinary differential equations is constructed.In this paper, we construct a third-order three-stage method with automatic step size selection for systems of the form  

show abstract

Method of initial functions in the computation of sandwich plates

Cited by 12 publications

References 1 publication

Study on Behaviour of Flexural Members by Elastic Approach

Study on Behaviour of Flexural Members by Elastic Approach

A superposition method in the analysis of an isotropic rectangle

An embedded method for integrating systems of structurally separated ordinary differential equations

Contact Info

Product

Resources

About