Zobrazeno 1 - 10
of 64
pro vyhledávání: '"Koncay Huseyin"'
Autor:
Koncay Huseyin
Publikováno v:
International Journal of Non-Linear Mechanics. 37:1109-1119
This paper is concerned with the methods of non-linear analysis of dynamical systems and the associated bifurcation and stability problems. Attention is focused on the intrinsic harmonic balancing (IHB) technique, and the interrelationship between th
Publikováno v:
Journal of Sound and Vibration. 255:741-762
In this paper, a modified normal form approach for obtaining normal forms of parametrically excited systems is presented. This approach provides a number of significant advantages over the existing normal form approaches, and improves the associated
Autor:
Koncay Huseyin
Publikováno v:
Applied Mechanics Reviews. 55:R5-R15
Autor:
Weiyi Zhang, Koncay Huseyin
Publikováno v:
Applied Mathematical Modelling. 26(1):53-75
The interrelationship between the intrinsic harmonic balancing (IHB) technique and other methods of nonlinear analysis is explored. First, a complex formulation of the technique is introduced, and it is observed that this new formulation leads to a m
Publikováno v:
Applied Mathematics and Mechanics. 22:802-807
Autor:
Weiyi Zhang, Koncay Huseyin
Publikováno v:
Journal of Vibration and Acoustics. 123:157-169
In this paper, a modified normal form approach is proposed for the analysis of high dimensional nonlinear systems. Using the modified approach, calculations of normal forms and, in particular, the related coefficients are carried out much more conven
Publikováno v:
Journal of Sound and Vibration. 232:525-540
A new procedure for obtaining high order normal forms and the associated coefficients is presented. It is assumed that the Jacobian of the system considered is in a diagonal form. In comparison with existing normal form approaches, this procedure len
Autor:
Weiyi Zhang, Koncay Huseyin
Publikováno v:
Applied Mathematical Modelling. 24(4):279-295
This paper presents a comparative study of the well-established methods of averaging and normal forms. The similarities and differences of these important methods are discussed, with regard to two-dimensional systems, for convenience; but the results
Autor:
Koncay Huseyin, W. Zhang
Publikováno v:
Mathematical and Computer Modelling. 30:213-228
In this paper, normal forms and the related coefficients associated with a five-dimensional resonant nonlinear system are investigated. It is assumed that the linearized system has two pure imaginary pairs and a zero eigenvalue. A modified normal for
Autor:
M. Moh’d, Koncay Huseyin
Publikováno v:
Journal of Vibration and Acoustics. 121:101-104
The static and dynamic bifurcations of an autonomous system associated with a twofold zero eigenvalue (of index one) are studied. Attention is focused on Hopf bifurcation solutions in the neighborhood of such a singularity. The family of limit cycles