TY - JOUR ID - 51521 TI - NORMAL FORM SOLUTION OF REDUCED ORDER OSCILLATING SYSTEMS JO - Journal of Aerospace Science and Technology JA - JAST LA - en SN - 1735-2134 AU - Dr. Sedaghat, Ahmad AD - Isfahan Univ. Y1 - 2006 PY - 2006 VL - 3 IS - 3 SP - 153 EP - 158 DO - N2 - This paper describes a preliminary investigation into the use of normal form theory for modelling large non-linear dynamical systems. Limit cycle oscillations are determined for simple two-degree-of-freedom double pendulum systems. The double pendulum system is reduced into its centre manifold before computing normal forms. Normal forms are obtained using a period averaging method which is applicable to non-autonomous systems, more advantageous than the classical methods. Good agreement is observed between the predicted results from the normal form theory and numerical simulations of the original system. UR - https://jast.ias.ir/article_51521.html L1 - https://jast.ias.ir/article_51521_58aab625c875846934d932b76b58fd3d.pdf ER -