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ANALYTICAL APPROACH TO WAVE AND STRESS ANALYSIS OF BARS MADE OF NON LINEAR MATERIAL WITH FINITE LENGTH
ABSTRACT First of all this study contains an introduction to non-linear eqations. Later,
some techniques used for solving non-linear equations are explained by given examples.
Second of all, the non-linear elastic and elastic-plastic wave motion in a finite bar made of a material obeying non-linear stress-strain relation is analyzed. Non-linear governing partial differential equation is separated into two non-linear ordinary differential equations using a new method for the separation. Analytical solution satisfying boundary and initial conditions are constructed from the proper solutions of equations. Stresses, wave velocities and displacements in the rod are found for arbitrary conditions. Two methods are developed. While the first method brings a limitation on the solution, the second one removes this problem by selecting more practically logical conditions.
Keywords : Ancastre, Rod, Non-linear, Wave, Motion , Stres



5. SAYFAYA BENZER SAYFALAR

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VIBRATIONS OF A SPACE WHICH INCLUDE TWO CAVITIES SUBJECTED TO A HARMONIC FORCING SUMMARY Behavior of an elastic medium, which consists of a cavity or a material, under the dynamic effects has been subject of recent studies. Investigations dealing with tunneling, underground pipelining, underwater pipelining and constructing underground power plants are namely the basics of this topic. Also, there...
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VIBRATIONS OF RECTANGULAR PLATES ON ELASTIC FOUNDATION SUMMARY In these study vibrations of a rectangular plate on homogenous, isotropic and linear elastic Winkler and Vlasov foundations has been analyzed. In the first section, the problem is shortly defined from the former relevant studies in the literature and reference has been made to the method employed in this study. In the second section, ...
İkinci mertebeden kısmi diferansiyel denklemlerin Taylor polinom çözümleri - Sayfa 10
VIII TAYLOR POLYNOMIAL SOLUTIONs OF SECOND-ORDER PARTIAL DIFFERENTIAL EQUATIONs (PhD. Thesis) Berna BÜLBÜL MUGLA UNIVERSITY INSTITUTE OF SCIENCE AND TECHNOLOGY 2011 ABSTRACT In this study, a new Taylor matrix method is developed to find the approximate solutions of one and two dimensional linear and also some nonlinear, partial differential equations. The method transforms the mentioned part...

5. SAYFADAKI ANAHTAR KELIMELER

equation
equations
solution
this
method
conditions


5. SAYFA ICERIGI

ANALYTICAL APPROACH TO WAVE AND STRESS ANALYSIS OF BARS MADE OF NON LINEAR MATERIAL WITH FINITE LENGTH
ABSTRACT First of all this study contains an introduction to non-linear eqations. Later,
some techniques used for solving non-linear equations are explained by given examples.
Second of all, the non-linear elastic and elastic-plastic wave motion in a finite bar made of a material obeying non-linear stress-strain relation is analyzed. Non-linear governing partial differential equation is separated into two non-linear ordinary differential equations using a new method for the separation. Analytical solution satisfying boundary and initial conditions are constructed from the proper solutions of equations. Stresses, wave velocities and displacements in the rod are found for arbitrary conditions. Two methods are developed. While the first method brings a limitation on the solution, the second one removes this problem by selecting more practically logical conditions.
Keywords : Ancastre, Rod, Non-linear, Wave, Motion , Stres

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