The analysis of beams on elastic foundation by the methods of harmonic differential quadrature and discrete singular convolution

Öz

Static, buckling and free vibration analyses of beams on Winkler foundation are presented. For buckling and free vibration, the governing equation of beams has been solved by reducing a standard eigenvalue equation using the harmonic differential quadrature and discrete singular convolution methods. For static analysis, however, the bending equation is reduced a set of linear algebraic equation. The effects of grid numbers and some parameters on results are investigated, and the obtained results are compared with the results of produced by analytical and other numerical methods

Anahtar Kelimeler

• Beams on elastic foundation, vibration, buckling, numerical analysis

Elastik zemine oturan kirişlerin ayrık tekil konvolüsyon ve harmonik diferansiyel quadrature yöntemleriyle analizi

Öz

Winkler elastik zemine oturan kirişlerin statik, burkulma ve serbest titreşim hesabı sunulmuştur. Kirişe ait yönetici diferansiyel denklem burkulma ve titreşim hesabında, harmonik diferansiyel quadrature (HDQ) yöntemi ve ayrık tekil konvolüsyon yöntemleriyle standart bir özdeğer denklemine indirgenerek çözülmüştür. Statik hesap için kirişe ait eğilme denklemi bir lineer denklem takımına indirgenmiştir. Düğüm nokta sayısı ve bazı parametrelerin sonuçlar üzerine etkisi incelenmiş, elde edilen sonuçlar analitik ve diğer sayısal çözüm yöntemleriyle karşılaştırılmıştır

Anahtar Kelimeler

• Elastik zemine oturan kiriş, titreşim, burkulma, sayısal analiz

Kaynakça

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