Pamukkale Univ Muh Bilim Derg. 2009; 15(1): 81-86

INVESTIGATION OF ELASTIC PENDULUM OSCILLATIONS BY SIMULATION TECHNIQUE

Zekeriya GÝRGÝN¹, Ersin DEMÝR¹
Pamukkale University, Engineering Faculty, Mechanical Engineering Department, 20070, Denizli

In this study, elastic spring-mass pendulum oscillations are investigated. In order to solve a nonlinear differential equation system, Simulation Technique based on Modelica Language such as Dymola, SimulationX etc., is used. It's assumed that the spring coefficient in this system is linear and spring mass is neglected. Under these conditions, kinematic behavior of the pendulum was investigated. The governing equation of the system possessing two nonlinear differential equations which interacts each other are solved simultaneously. The obtained results are compared with previous works and seemed good agreements with others.

Keywords: Elastic pendulum, Nonlinear oscillation, Simulation technique, Modelica, Dymola.

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SÝMÜLASYON TEKNÝÐÝ ÝLE ELASTÝK KÜTLE-YAY SALINIMINLARININ ÝNCELENMESÝ

Zekeriya GÝRGÝN¹, Ersin DEMÝR¹
Pamukkale University, Engineering Faculty, Mechanical Engineering Department, 20070, Denizli

Bu çalýþmada, elastik kütle-yay sarkaç salýnýmlarý incelenmiþtir. Sistemin lineer olmayan diferansiyel denklemlerini çözmek için Dymola, SimulationX gibi Modelica dili tabanlý Simülasyon Tekniði kullanýlmýþtýr. Sistemdeki yayýn direngenliði lineer ve kütlesi ihmal edilmiþtir. Bu þartlar altýndaki sarkacýn kinematik davranýþý incelenmiþtir. Sistemi ifade eden genel denklem iki tane lineer olmayan ve birbirini etkileyen diferansiyel denklemden oluþmaktadýr. Bu denklemler Simülasyon Tekniði ile çözülmüþtür. Elde edilen sonuçlar önceki çalýþmalarla kýyaslanmýþ ve uyumlu olduðu görülmüþtür.

Anahtar Kelimeler: Elastik sarkaç, Lineer olmayan salýným, Simülasyon Tekniði, Modelica, Dymola.

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