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HAREKETLİ HARMONİK YÜKLER ETKİSİNDEKİ VİSKOELASTİK KİRİŞLERİN TİTREŞİMİ

VIBRATION OF VISCOELASTIC BEAMS SUBJECTED TO MOVING HARMONIC LOADS

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Abstract (2. Language): 
The transverse vibration of a beam with intermediate point constraints subjected to a moving harmonic load is analyzed within the framework of the Bernoulli-Euler beam theory. The Lagrange equations are used for examining the dynamic response of beams subjected to the moving harmonic load. The constraint conditions of supports are taken into account by using Lagrange multipliers. In the study, for applying the Lagrange equations, trial function denoting the deflection of the beam is expressed in the polynomial form. By using the Lagrange equations, the problem is reduced to the solution of a system of algebraic equations. The system of algebraic equations is solved by using the direct time integration method of Newmark [8]. Results of numerical simulations are presented for various combinations of constant axial velocity, excitation frequency, number of point supports and various values of damping coefficient. Keywords: Forced vibrations of beam, free vibrations of beam, moving harmonic load
Abstract (Original Language): 
Bu çalışmada hareketli harmonik yükler etkisindeki kirişlerin enine titreşimleri Bernoulli-Euler kiriş teorisi çerçevesinde incelenmiştir. Problemin çözümü için Lagrange denklemleri kullanılmıştır. Problemde mesnet şartları Lagrange çarpanları kullanılarak sağlanmıştır. Çalışmada, Lagrange denklemlerinin uygulanması için kirişin yerdeğiştirmelerini ifade eden çözüm fonksiyonunun oluşturulmasında polinomlar kullanılmıştır. Lagrange denklemleri kullanılarak problem cebrik denklem sisteminin çözümüne indirgenmiştir. Bu denklem sistemi Newmark [8] yöntemi kullanılarak çözülmüştür. Problemde kirişin yerdeğiştirmeleri, hareketli harmonik yükün frekansı ve hızı, çeşitli sönüm oranları ve açıklık sayısı için sayısal olarak incelenmiştir.
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REFERENCES

References: 

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