집속체 유동계의 안정성 해석 = Stability of Bundle Flow Dynamic

다국어 초록 (Multilingual Abstract)

Bundle flow occurs in the processes where material with long shape in comparison with its cross-section is used and the process products often undergo thickness fluctuation due to the flow dynamics. This study deals with investigating the stability of a bundle flow by means of theoretical simulation. Introducing perturbation in the flow state demonstrated that the eigenvalues of the linearized flow dynamic system, determining the stability of the flow state, were dependent on the model parameters and the draft ratios. The stability diagram revealed that the stable area of the parameters became narrower as the draft ratio increased, which indicates that the state of the bundle flow is sensitive to the input bundle properties. As the fiber cohesion of the bundle or the draft ratio increased, the flow was apt to change to an unstable state. Especially there existed a specific value of the draft ratio that represented a characteristic measure, addressing the criterion of the bundle flow stability. The bundle flow dynamics was insistently stable under the condition of the draft ratio less than the characteristic value, no matter what values of the parameters were given.

참고문헌 (Reference)

1 허유, "인발 집속유체의 정상유동 특성" 대한기계학회 30 (30): 612-621, 2006

2 J. S. Rao, "Theory of Roller Drafting-II" 53 : T464-T476, 1962

3 . A. Grishin, "Theory of Drafting and Its Practical Applications" 45 : 167-266, 1954

4 B. Dutta, "The Dynamic Response of Drafting Tension to Sinusoidal Variations in Draft Ratio under Conditions of Sliver Elasticity in Short-staple Drafting" 64 : 534-542, 1973

5 H. Balasubramanian, "Studies in Modern Yarn Production" Textile Institute 150-, 1968

6 R. R. Mohler, "Nonlinear Systems, Vol. 1, Dynamics and Control" Prentice-Hall Inc. 61-, 1991

7 Y. Huh, "Modeling the Dynamic Behavior of the Fiber Bundle in a Roll-Drafting Process" 74 : 872-878, 2004

8 B. D. Choi, "Identification of the Dynamic Behavior of Sliver by the Roller Drafting (2) - Estimation of the Digital Model Parameters for the Thickness Behavior of the Output Sliver -" 32 : 300-307, 1995

9 Y. Huh, "Identification of the Dynamic Behavior of Sliver by the Roller Drafting (1) - Structure Identification of the Dynamic Model -" 30 : 527-536, 1993

10 Y. Huh, "Effect of Material Parameters and Process Conditions on the Roll-Drafting Dynamics" 7 (7): 424-431, 2006

11 J. S. Rao, "A Mathematical Model to the Ideal Sliver and Its Application to the Theory of Roller Drafting" 52 : 571-601, 1961