Elastik kiriş temeline etki eden dış kuvvetin hesaplamalı değerlendirmesi

Bu makalede, dördüncü mertebeden diferansiyel kiriş denkleminin hesaplamalı çözümü için bazı sayısal teknikler sunuyor ve kullanıyoruz. Denklem, kötü konumlu bir duruma sahip elastik bir temel üzerindeki bir kiriş sistemini tanımlar. Değerlendirme sırasında ortaya çıkan stresi azaltmak ve üstesinden gelmek için Üstel Olarak Yerleştirilmiş Sıralama Yöntemi (EFCM), Hibrit Blok Yöntemi (HBM), Homotopi Pertürbasyon Yöntemi (HPM) ve Diferansiyel Dönüşüm Yöntemi'nin (DTM) hesaplanmasına yardımcı olacak uygun algoritmalar formüle ediyoruz. Formüle edilmiş algoritmalar ayrıca sonuçların sayısal karşılaştırması için kullanılır. Sonuçlar, algoritmaların verimli olduğunu ve sayısal yöntemlerin kiriş problemlerini çözmede oldukça etkili olduğunu kanıtlamıştır.

Anahtar Kelimeler:

Kötü konumlanmış dördüncü mertebeden kiriş problemleri, Üstel olarak yerleştirilmiş kollokasyon yöntemi (EFCM), Hibrit blok yöntemi (HBM), Homotopi pertürbasyon yöntemi (HPM), Diferansiyel dönüşüm yöntemi

Computational assessment of external force acting on beam elastic foundation

In this paper, we present and employ some numerical techniques for the computational solution of fourth-order differential beam equation. The equation describes a beam system on elastic foundation with an illposed situation. We formulate suitable algorithms to aid the computation of the Exponentially Fitted Collocation Method (EFCM), Hybrid Block Method (HBM), Homotopy Perturbation Method (HPM), and Differential Transformation Method (DTM) to reduce and overcome stress involves during evaluation. The formulated algorithms are further used for numerical comparison of the results. The results show that the algorithms are efficient and numerical methods prove to be highly effective for solving beam problems.

Keywords:

Ill-Posed fourth-order beam problems, Exponentially fitted collocation method (EFCM), Hybrid block method (HBM), Homotopy perturbation method (HPM), Differential transformation method (DTM),

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