DYNAMIC RESPONSES OF FOUNDATION BEAMS SUBJECTED TO TRANSVERSE LOADING ON A WINKLER SOIL BY DIRAC DISTRIBUTION THEORY

TERSYNYR YÜKLEMEYE MARUZ WINKLER ZEMYNYNE OTURAN TEMEL KYRY?LERYNYN DIRAC DA?ILIM TEORYSY KULLANILARAK DYNAMYK ANALYZY

Özet

In this study, the dynamic analysis of a free beam subjected to transverse forces and moments on an elastic soil are investigated. The foundation model is based on the Winkler hypothesis. Using Dirac distribution theory, concentrated disturbances on beams are transformed to distributed loads in order to be able to use the governing differential equation established for distributed loads. An illustrative example is presented in order to demonstrate the use of the study and some of the obtained results are given in tables and figures.

Abstract

Bu çaly?mada, tersinir yüklere ve momentlere maruz elastic zemine oturan serbest bir kiri?in dinamik analizi incelenmi?tir. Temel modeli Winkler hipotezine dayalydyr. Yayyly yükler için belirlenen diferansiyel denklemin kullanylabilmesi amacyyla, kiri?teki tekil deformasyonlar Dirac da?ylym teorisi kullanarak yayyly yüklere dönü?türülmü?tür. Çaly?mayy açyklamak amacyyla tanymlayycy bir örnek sunulmu?tur ve elde edilen bazy sonuçlar tablo ve ?ekillerde verilmi?tir.

Anahtar kelimeler: Free beam, foundation on Winkler soil, Dirac distribution theory, dynamic response, concentrated loads,