Hareketli bir yüke maruz kalan keyfi kavisli bir kirişin tepkisi için kesin çözüm

Öz

Rastgele bir düzlem eğimli kirişin hareketli bir yüke tepkisi analitik olarak incelenmiştir. Kiriş kesiti belirli bir simetriye sahip olacak şekilde sınırlandırılmıştır, böylece kiriş hareket eden kuvvetin etkisi altındayken düzleminde kalır. Hareket eden kuvvetin, yönü daima kirişin kavisli şeklinin ana normalini işaret ederken, kirişin uzunluğu boyunca sabit hızla kayan tekil bir kuvvet olduğu varsayılır. Genel denklemler herhangi bir düzlem eğrisi için verilmiş ve özel bir örnek için kuvvet serileri yöntemi kullanılarak çözülmüştür.

Anahtar Kelimeler

• Keyfi kavisli
• Hareketli yük
• Kuvvet serileri.

Exact solution for the response of an arbitrarily-curved beam subject to a moving load

Abstract

An arbitrarily curved beam under the effect of a moving load has been considered. An analytical series solution has been developed for the case when the beam cross-section is symmetrical so that it resides in a plane during the motion. The moving force is assumed to be a singular force sliding through the length of the beam with constant speed while its direction always pointing in the principal normal of the curved shape of the beam. After developing the general solution for any plane beam, example computations were carried out on a specific example by means of power series expansion.

Keywords

• Arbitrarily-curved
• Moving load
• Power series.

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