[PDF][PDF] A superposition method in the analysis of an isotropic rectangle

DP Goloskokov, AV Matrosov - Applied Mathematical Sciences, 2016 - m-hikari.com
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 …

An exact analytical solution for a free-supported micropolar rectangle by the method of initial functions

AV Matrosov - Zeitschrift für angewandte Mathematik und Physik, 2022 - Springer
In this work, the method of initial functions for a micropolar medium under conditions of
plane strain has been developed. In a Cartesian rectangular coordinate system, the solution …

Method of initial functions and integral Fourier transform in some problems of the theory of elasticity

AV Matrosov, MD Kovalenko, IV Menshova… - … Mathematik und Physik, 2020 - Springer
In the 1950s, the method of initial functions (MIF) was developed in the Soviet Union. It
rapidly became popular among research scientists, civil engineers, and, later, among …

[HTML][HTML] Analysis of infilled beams using method of initial functions and comparison with FEM

R Patel, SK Dubey, KK Pathak - Engineering Science and Technology, an …, 2014 - Elsevier
This paper presents a study carried out on reinforced concrete infilled beams. In reinforced
concrete beams, less stressed concrete near neutral axis can be replaced by some light …

Effect of depth span ratio on the behaviour of beams

R Patel, SK Dubey, KK Pathak - International Journal of Advanced …, 2014 - Springer
Behaviour of beam depends on its depth. A beam is considered as deep, if the depth span
ratio is 0.5 or more. In the available beam theories, we have to apply correction in case of …

Performance of Reinforced Concrete Beam with Differently Positioned Replacement Zones of Block Infill under Low Impact Loads

SN Mokhatar, MM Mustafa… - MATEC Web of …, 2017 - matec-conferences.org
This paper reveals a study performed on reinforced concrete with artificial aggregate
concrete block infill composite beams to innovate a lightweight reinforced concrete utilizing …

A superposition method in analysis of plane construction

AV Matrosov - … Conference" Stability and Control Processes" in …, 2015 - ieeexplore.ieee.org
In this article a superposition method for analysing an orthotropic elastic rectangular with
arbitrary boundary conditions is presented. Two solutions in trigonometric series derived by …

Application of the Method of Initial Functions to Study Dynamics and Stress Distribution in Structural Members

J Namdeo, SK Dubey, R Biswas… - Advances in Civil …, 2024 - Wiley Online Library
This study investigates plate analyses employing the method of initial functions (MIFs)
across various plate geometries and loading conditions. The conclusions derived from thick …

[PDF][PDF] Analyzing thick layered plates under their own weight by the method of initial functions

AV Matrosov, GN Shirunov - Materials physics and mechanics, 2017 - ipme.ru
Taking into consideration an own weight when analyzing massive solids is rather important
problem of the theory of elasticity and structural mechanics. Thick layered plates are often …

Dynamic Analysis of Isotropic Homogeneous Beams Using the Method of Initial Functions and Comparison with Classical Beam Theories and FEM

J Namdeo, SK Dubey, L Dorji - Complexity, 2023 - Wiley Online Library
The main aim of this study is the dynamic analysis of isotropic homogeneous beams using
the method of initial functions (MIFs) and comparison with classical beam theories and FEM …