Spectrally formulated modeling of a cable-harnessed structure

Abstract To obtain predictive modeling of the spacecraft, we investigate the effects of adding cables to a simple structure with the goal of developing an understanding of the effects of cables interacting with a structure. In this paper, we present modeling of a cable-harnessed structure by means of the Spectral Element Method (SEM). A double beam model is used to emulate a cable-harnessed structure. SEM modeling can define the location and the number of connections between the two beams in a convenient fashion. The presented modeling is applied and compared with the conventional FEM. The modeling approach was compared and validated with experimental measurements. The validated modeling was implemented to investigate the effect of the number of connections and of the spring stiffness of interconnections. The results show that the proposed modeling can be used as an accurate and efficient solution methodology for a cable-harnessed structure.

[1]  Daniel J. Inman,et al.  Development of predictive modeling for Cable Harnessed Structure , 2013 .

[2]  Li Jun,et al.  Dynamic stiffness vibration analysis of an elastically connected three-beam system , 2008 .

[3]  Der-Wei Chen,et al.  The exact solution for free vibration of uniform beams carrying multiple two-degree-of-freedom spring–mass systems , 2006 .

[4]  Shen Rongying,et al.  A spectral finite element model for vibration analysis of a beam based on general higher-order theory , 2008 .

[5]  J. R. Banerjee,et al.  Dynamic Stiffness Formulation and Its Application for a Combined Beam and a Two Degree-of-Freedom System , 2003 .

[6]  James C. Goodding,et al.  Dynamic Modeling and Experimental Validation of a Cable-Loaded Panel , 2011 .

[7]  U. Lee Spectral Element Method in Structural Dynamics , 2009 .

[8]  W. H. Hoppmann,et al.  Normal Mode Vibrations of Systems of Elastically Connected Parallel Bars , 1964 .

[9]  James F. Doyle,et al.  Wave Propagation in Structures: Spectral Analysis Using Fast Discrete Fourier Transforms , 1997 .

[10]  Singiresu S Rao,et al.  Natural vibrations of systems of elastically connected Timoshenko beams , 1974 .

[11]  Metin Gurgoze,et al.  ON THE EIGENFREQUENCIES OF A CANTILEVER BEAM WITH ATTACHED TIP MASS AND A SPRING-MASS SYSTEM , 1996 .

[12]  B. Karnopp,et al.  VIBRATION OF A DOUBLE-BEAM SYSTEM , 2000 .

[13]  Jong-Shyong Wu,et al.  FREE VIBRATION ANALYSIS OF A CANTILEVER BEAM CARRYING ANY NUMBER OF ELASTICALLY MOUNTED POINT MASSES WITH THE ANALYTICAL-AND-NUMERICAL-COMBINED METHOD , 1998 .

[14]  Metin Gurgoze,et al.  ON THE ALTERNATIVE FORMULATIONS OF THE FREQUENCY EQUATION OF A BERNOULLI–EULER BEAM TO WHICH SEVERAL SPRING-MASS SYSTEMS ARE ATTACHED IN-SPAN , 1998 .

[15]  Daniel J. Inman,et al.  Spectral Element Method for Cable Harnessed Structure , 2014 .

[16]  Daniel J. Inman,et al.  Cable Modeling and Internal Damping Developments , 2013 .

[17]  J. Douglas Faires,et al.  Numerical Analysis , 1981 .

[18]  Jun Li,et al.  Spectral finite element analysis of elastically connected double-beam systems , 2007 .