Gergin Elastik Tele Bağlı Kütlenin Doğrusal Olmayan Salınımının Yaklaşık Çözümleri

Year 2019, Volume: 9 Issue: 2, 207 - 214, 15.04.2019

M. M. Fatih Karahan Beyza Bostancı

https://doi.org/10.17714/gumusfenbil.410731

Cited By: 1

Abstract

Gergin elastik bir tele bağlı kütlenin doğrusal
olmayan titreşim hareketi ele alınmıştır. Sistemin hareket denklemi
oluşturulmuştur. Hareket denklemine çok ölçekli metot (ÇÖM) ve çok ölçekli
Lindstedt Poincare (ÇÖLP) metodu uygulanmıştır. Belirtilen metotlar
kullanılarak hareket denkleminin yaklaşık analitik çözümleri bulunmuştur. Belirtilen çözümler
hareket denkleminin sayısal çözümü ile karşılaştırılmıştır. Kuvvetli doğrusal
olmayan sistemlerde ÇÖLP metodu iyi sonuçlar vermiştir.

Keywords

Çok Ölcekli Lindstedt Poincare Metodu, Çok Ölcekli Metot, Kuvvetli Doğrusal Olmayan Sistemler, Perturbasyon Metotları, Sayısal Çözümler

Approximate Solutions of Nonlinear Oscillation of a Mass Attached to a Stretched Elastic Wire

Abstract

Nonlinear
Oscillation of a Mass Attached to a Stretched Elastic Wire is considered.
Equation of motion of the system is obtained. The classical multiple scales
method (MS) and multiple scales Lindstedt Poincare (MSLP) method are applied to
the equation of motion. Approximate analytical solutions of the equation of
motion are obtained using the stated methods. Obtained solutions are compared with numerical solution of the equation
of motion. MSLP method gives better results for strong nonlinearities.

Keywords

Multiple Scales Lindstedt Poincare Technique, Method of Multiple Scales, Strong Nonlinearities, Perturbation Methods, Numerical Solution

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